From c202e2ea432931e6fced28d03972d116129cfd58 Mon Sep 17 00:00:00 2001 From: Max Ghenis Date: Wed, 1 Jul 2026 22:37:03 +0200 Subject: [PATCH 1/9] Apply net-VAT liability scaling fix from PR #17 onto current main v_i = 0.20 x (turnover - inputs) in generator, calibration, and validator; rho recentred to mean ~0.6 and clamped to [0.1, 0.95] so value added is strictly positive; secondary-notch mass block in dominated_region_mass. Cherry-picked from origin/fix-vat-liability-scaling (issue #15) without the tex changes, which are superseded by the rewrite in this branch. Co-Authored-By: Claude Fable 5 --- .../analysis/dominated_region_mass.py | 34 +++++++++++++++++++ src/firm_microsim/calibration.py | 8 +++-- src/firm_microsim/config.py | 6 ++++ src/firm_microsim/dynamic/model.py | 7 ++-- src/firm_microsim/generate.py | 33 ++++++++++-------- src/firm_microsim/validate.py | 4 +-- 6 files changed, 70 insertions(+), 22 deletions(-) diff --git a/src/firm_microsim/analysis/dominated_region_mass.py b/src/firm_microsim/analysis/dominated_region_mass.py index a3f93e8..08908db 100644 --- a/src/firm_microsim/analysis/dominated_region_mass.py +++ b/src/firm_microsim/analysis/dominated_region_mass.py @@ -52,6 +52,11 @@ ("10% band", 0.10), ] +# Reduced-rate band runs [T*, T*+BAND_WIDTH]; at the band top it reverts to the +# standard rate tau, creating a SECOND notch whose dominated width is +# a' = T1 * (tau - r) / (1 - tau), T1 = T* + BAND_WIDTH. +REDUCED_RATE_BAND_WIDTH = 20.0 # £k (band [85k, 105k] in the paper) + def mass_in_band(centres, density, lo, hi, bin_width=BIN_WIDTH): """Integrate a binned density over [lo, hi) -> weighted firm count. @@ -106,6 +111,24 @@ def main() -> None: "net": cf - obs, # net missing (displaced) mass in band }) + # --- Secondary dominated region at the reduced-rate band top ------------ + # A banded reduced rate reverts to the standard rate tau at the band top + # T1, creating a SECOND notch with dominated width a' = T1*(tau-r)/(1-tau). + # The total dominated turnover under a reduced rate is primary + secondary. + band_top = t_star + REDUCED_RATE_BAND_WIDTH # £105k + sec_rows = [] + for label, tau_r in RATE_VARIANTS[1:]: # 15% and 10% only + a_sec = band_top * (TAU - tau_r) / (1.0 - TAU) + lo, hi = band_top, band_top + a_sec + obs = mass_in_band(centres, f_obs, lo, hi) + cf = mass_in_band(centres, f_cf, lo, hi) + prim = next(r for r in rows if r["tau"] == tau_r) + sec_rows.append({ + "label": label, "tau": tau_r, "a_sec": a_sec, + "lo": lo, "hi": hi, "obs": obs, "cf": cf, + "prim_obs": prim["obs"], "total_obs": prim["obs"] + obs, + }) + # Baseline (20%) is the paper's actual dominated region. base = rows[0] @@ -164,6 +187,17 @@ def main() -> None: W(f" 10% -> band width GBP {rows[2]['a']*1000:,.0f}: net displaced = {rows[2]['net']:,.0f} firms" f" (CF total {rows[2]['cf']:,.0f})") W("") + W(f"SECONDARY NOTCH at the reduced-rate band top (T1 = GBP {band_top*1000:,.0f}):") + W(" A banded reduced rate reverts to tau=20% at T1, adding a SECOND") + W(" dominated region a' = T1*(tau-r)/(1-tau). Total dominated turnover and") + W(" mass = primary [T*, T*+a] + secondary [T1, T1+a'].") + for s in sec_rows: + W(f" {s['label']:<9} secondary [{s['lo']:.0f}, {s['hi']:.3f}) " + f"width GBP {s['a_sec']*1000:,.0f} OBS = {s['obs']:,.0f}") + W(f" primary OBS {s['prim_obs']:,.0f} + secondary OBS {s['obs']:,.0f}" + f" = TOTAL {s['total_obs']:,.0f} (baseline {base['obs']:,.0f}," + f" {100*(s['total_obs']/base['obs']-1):+.1f}%)") + W("") W("CONSISTENCY CHECK vs paper's reduced-form bunching:") W(f" excess mass below T* E = {E:,.0f} firms") W(f" missing mass above T* Delta_R = {Delta_R:,.0f} firms") diff --git a/src/firm_microsim/calibration.py b/src/firm_microsim/calibration.py index fee8a49..2ec2c8f 100644 --- a/src/firm_microsim/calibration.py +++ b/src/firm_microsim/calibration.py @@ -25,7 +25,7 @@ import torch from torch import Tensor -from .config import Config +from .config import Config, STANDARD_VAT_RATE logger = logging.getLogger(__name__) @@ -203,8 +203,10 @@ def build_target_matrix( row = spec.employment_start + band_idx target_matrix[row, employment_band_indices == band_idx] = 1.0 - # VAT liability (£k) per firm = turnover - input. - vat_liability_values = turnover_values - input_values + # Net VAT liability (£k) per firm = standard rate * value added + # = STANDARD_VAT_RATE * (turnover - input). This matches the HMRC + # net-VAT-liability targets, which are net of input reclaim. + vat_liability_values = STANDARD_VAT_RATE * (turnover_values - input_values) # VAT-liability-by-sector targets (weight firms by their liability). for offset, (_, vat_row) in enumerate(vat_liability_sector_rows.iterrows()): diff --git a/src/firm_microsim/config.py b/src/firm_microsim/config.py index dd34b59..7196acc 100644 --- a/src/firm_microsim/config.py +++ b/src/firm_microsim/config.py @@ -68,6 +68,12 @@ def _default_repo_root() -> Path: } DEFAULT_VINTAGE: str = os.environ.get("DATA_VINTAGE", "2023-24") +# Standard UK VAT rate. A registered firm's net VAT liability is this rate +# applied to its value added (turnover less inputs): +# v_i = STANDARD_VAT_RATE * (turnover_i - inputs_i). +# This is the single place the rate is set. +STANDARD_VAT_RATE: float = 0.20 + # Processed input file names (placed in PROCESSED_DATA_DIR by an upstream # ETL process). These map onto the original ONS + HMRC official tables. INPUT_FILES: Dict[str, str] = { diff --git a/src/firm_microsim/dynamic/model.py b/src/firm_microsim/dynamic/model.py index f09ae67..c90fa53 100644 --- a/src/firm_microsim/dynamic/model.py +++ b/src/firm_microsim/dynamic/model.py @@ -51,9 +51,10 @@ REVENUE CONVENTION ------------------ -The stored net VAT remittance ``liab`` is NOT ``0.20 * turnover`` — it is -output-minus-input VAT (a firm-specific net rate ``liab/y_obs`` averaging ~3% -of turnover). Under a reform schedule that scales the standard rate by a +The stored net VAT remittance ``liab`` is NOT ``0.20 * turnover`` — it is the +standard rate applied to value added, ``0.20 * (turnover - input)`` (a +firm-specific net rate ``liab/y_obs`` of roughly 8% of turnover, i.e. +``0.20 * value-added-share``). Under a reform schedule that scales the standard rate by a fraction ``f(y) in [0,1]`` over the band, a registered firm's reform remittance is ``liab * (y_star / y_obs) * f(y_star)``: the firm's net VAT-to-turnover ratio is held fixed, turnover is re-optimised to ``y_star`` (iso-elastic response), diff --git a/src/firm_microsim/generate.py b/src/firm_microsim/generate.py index d47bce6..ba586e7 100644 --- a/src/firm_microsim/generate.py +++ b/src/firm_microsim/generate.py @@ -50,7 +50,7 @@ build_target_matrix, optimize_weights, ) -from .config import Config, DEFAULT_CONFIG +from .config import Config, DEFAULT_CONFIG, STANDARD_VAT_RATE from .data_loader import LoadedData, load_data from .validate import ValidationReport, validate @@ -138,9 +138,12 @@ def generate_input_values( ) -> Tensor: """Draw per-firm input expenditure (£k) from Beta input/output ratios. - Most firms get inputs at 60-95% of turnover (positive VAT liability); - sector-specific shifts allow some firms inputs > turnover (negative - liability), matching HMRC's negative net-liability sectors. + The input/output ratio is centred near 0.6 (value added ~40% of turnover, + in line with the UK non-financial business economy) with sector-specific + shifts, and clamped to [0.1, 0.95] so value added is always strictly + positive. Net VAT liability is then the standard rate applied to value + added (see :func:`generate_synthetic_firms`); the model is a standard-rate + turnover-tax approximation and does not represent net-repayment positions. Args: turnover_values: Per-firm turnover (£k). @@ -154,7 +157,7 @@ def generate_input_values( n_firms = len(turnover_values) base_ratios = torch.distributions.Beta(4.0, 2.0).sample((n_firms,)).to(device) - scaled = 0.3 + base_ratios * 1.0 # map [0,1] -> [0.3, 1.3] + scaled = 0.2 + base_ratios * 0.6 # map [0,1] -> [0.2, 0.8]; Beta(4,2) mean -> 0.6 sector_noise = torch.randn(n_firms, device=device) * 0.15 sic_np = sic_codes.cpu().numpy() @@ -166,21 +169,23 @@ def generate_input_values( scaled = scaled + neg_t.float() * (torch.rand(n_firms, device=device) * 0.3) scaled = scaled - high_t.float() * (torch.rand(n_firms, device=device) * 0.2) - # Floor the input/output ratio at 0.6 (value-added <= 40% of turnover). - # A lower floor lets a few firms get implausibly low input (VA up to 90% - # of turnover), which both produces unrealistic per-firm VAT liabilities - # and lets the weight optimiser concentrate huge weights on those outliers - # to hit the liability targets — distorting the near-threshold density and - # the static threshold sweep. 0.6 matches the documented 60-95% intent. - final_ratios = torch.clamp(scaled + sector_noise, 0.6, 1.5) + # Clamp the input/output ratio to [0.1, 0.95]: value added is always + # strictly positive (between 5% and 90% of turnover), so no firm has inputs + # exceeding turnover. The upper bound 0.95 rules out negative net VAT + # liability (the model is a standard-rate approximation that abstracts from + # net-repayment positions); the lower bound 0.1 prevents implausibly high + # value added that the weight optimiser could exploit with outlier weights. + final_ratios = torch.clamp(scaled + sector_noise, 0.1, 0.95) input_values = torch.where( turnover_values > 0, turnover_values * final_ratios, torch.zeros_like(turnover_values) ) logger.info( - "Input/output ratio: mean=%.2f std=%.2f; firms with negative VAT liability: %s", + "Input/output ratio: mean=%.2f std=%.2f; mean value-added share=%.2f; " + "firms with negative value added: %s", final_ratios.mean().item(), final_ratios.std().item(), + (1.0 - final_ratios).mean().item(), f"{int((final_ratios > 1.0).sum().item()):,}", ) return input_values @@ -427,7 +432,7 @@ def generate( "sic_code": [str(s).zfill(5) for s in sic_np], "annual_turnover_k": turnover_np, "annual_input_k": input_np, - "vat_liability_k": turnover_np - input_np, + "vat_liability_k": STANDARD_VAT_RATE * (turnover_np - input_np), "employment": employment.cpu().numpy().astype(int), "weight": final_weights.cpu().numpy(), "vat_registered": vat_flags.cpu().numpy().astype(bool), diff --git a/src/firm_microsim/validate.py b/src/firm_microsim/validate.py index 291660d..42f3d01 100644 --- a/src/firm_microsim/validate.py +++ b/src/firm_microsim/validate.py @@ -18,7 +18,7 @@ import pandas as pd from .calibration import EMPLOYMENT_BANDS, VAT_LIABILITY_BANDS -from .config import Config +from .config import Config, STANDARD_VAT_RATE from .data_loader import LoadedData logger = logging.getLogger(__name__) @@ -127,7 +127,7 @@ def validate( threshold = config.vat_threshold df = synthetic_df.copy() df["hmrc_band"] = df["annual_turnover_k"].apply(lambda t: _hmrc_band_name(t, threshold)) - df["vat_liability_k"] = df["annual_turnover_k"] - df["annual_input_k"] + df["vat_liability_k"] = STANDARD_VAT_RATE * (df["annual_turnover_k"] - df["annual_input_k"]) df["sic_numeric"] = df["sic_code"].astype(int) df["weighted_liability_m"] = df["vat_liability_k"] * df["weight"] / 1000.0 all_bands = df.groupby("hmrc_band")["weight"].sum() From 12405b8bc38ecbe0303828837b48ad4dd384f7c4 Mon Sep 17 00:00:00 2001 From: Max Ghenis Date: Wed, 1 Jul 2026 23:45:35 +0200 Subject: [PATCH 2/9] Fix behavioural solver, bunching estimator, and recovery test MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit - Replace the damped fixed-point forward solve (no fixed point at reform notches; iterates oscillate) with a closed-form region-confined solve: each firm re-optimises within the schedule region containing its observed turnover, using the formulation-A response ratio y* = y_obs [(1-tau f1)/(1-tau f0)]^e (deductible share cancels). e->0 nesting is now exact; a pure threshold raise provably has zero intensive-margin offset (behavioural == static at every e) — asserted in the crosscheck; baseline reproduction asserted in reform_revenue. - Remove the non-identified elasticity outputs (sigma/Pi/eps) and the tau/2 wedge normalisation inherited from a deleted sigmoid model from the bunching estimator; keep the geometry (b, b_llat, E, Delta_R, y_R). - Fix bootstrap replicate weights to sum to the population mass W rather than the row count n (E replicates were scaled by n/W). - Redesign the recovery test: KW-consistent injection with missing mass extending beyond the exclusion window, scored by the headline estimator (the previous injection was invisible to the counterfactual fit by construction). - Relabel e sweep values as assumptions (0.05 external KW anchor); remove the false 'calibrated to reduced-form estimates' provenance. - report.py: fall back to the generic output CSV name; taper guard in the dynamic CLI. Addresses issues #15 and the methodology findings in the review. Co-Authored-By: Claude Fable 5 --- analysis/recovery_bunching.py | 325 ++++++------------ .../analysis/placebo_bunching.py | 2 +- src/firm_microsim/bunching/__init__.py | 2 - src/firm_microsim/bunching/__main__.py | 2 +- src/firm_microsim/bunching/model.py | 124 ++----- src/firm_microsim/dynamic/__main__.py | 4 +- src/firm_microsim/dynamic/model.py | 298 +++++++++------- src/firm_microsim/notch/model.py | 6 +- src/firm_microsim/report.py | 6 + 9 files changed, 321 insertions(+), 448 deletions(-) diff --git a/analysis/recovery_bunching.py b/analysis/recovery_bunching.py index 80885b5..2266851 100644 --- a/analysis/recovery_bunching.py +++ b/analysis/recovery_bunching.py @@ -1,48 +1,32 @@ -"""Recovery / coverage validation for the £85k VAT bunching estimator. - -Referee's point ---------------- -The existing placebo (``analysis/placebo_bunching.py``) shows the estimator -returns NO bunching when there is none by construction (the smoothed Placebo-A -population has b≈0, E≈0). That establishes the estimator does not generate a -FALSE POSITIVE when behaviour is absent. It does NOT, on its own, show the -estimator has POWER to detect a real behavioural response when one IS present. - -The discriminating test the referee asked for is a RECOVERY (coverage) exercise: -inject a behavioural bunching signal of KNOWN magnitude into the synthetic -population, then run the estimator and check whether it recovers that magnitude. - -Design ------- -1. Build a CLEAN, step-free baseline. Starting from the actual £85k synthetic - firms (whose own apparent step is itself mechanical), apply the SAME - Placebo-A reweighting used in the placebo script to obtain a smooth, - no-step population with b≈0, E≈0. This is the null world onto which we - graft a known signal, so the recovered mass is attributable ENTIRELY to the - injection, not to any residual mechanical step. - -2. INJECT a behavioural bunching response of known magnitude E_true. We take a - known share of the smooth counterfactual mass sitting in a donor window just - ABOVE the threshold, ``[T*, T*+DELTA]``, and relocate it to a bunching window - just BELOW the threshold, ``[T*-w, T*]`` — exactly the firm location-choice - the generator lacks. We relocate by reweighting (mass-conserving): scale - donor-window weights down by (1 - p) and add the removed mass to the - bunching window, distributed so it piles up immediately below T* (the - canonical bunching shape). The relocated mass IS the injected excess mass - E_true; we sweep several known magnitudes. - -3. Run the estimator on each injected population and record the recovered - excess mass E_hat and bunching ratio b_hat. - -4. Report a recovery table E_true vs E_hat (and b_hat), assess whether the - estimator is approximately unbiased / has power, and flag any systematic - bias (the polynomial counterfactual + fixed exclusion window are expected to - attenuate the recovered mass somewhat). - -Honesty note ------------- -We report E_hat against E_true plainly. Under/over-recovery is itself a useful -finding about the estimator's calibration and is reported as such. +"""Recovery / power validation for the £85k VAT bunching estimator. + +Purpose +------- +The placebo (``analysis/placebo_bunching.py``) shows the estimator returns no +bunching when none is present by construction (specificity). This exercise +shows the complementary property: when a behavioural relocation of KNOWN +magnitude IS present, the estimator's HEADLINE statistics detect and size it +(power), and its biases are characterised honestly. + +Why this design (and not the previous one) +------------------------------------------ +An earlier version of this harness relocated mass from a donor window +[85, 100) to [75, 85) — both strictly INSIDE the estimator's ±15k exclusion +window [70, 100]. The polynomial counterfactual is fitted only on bins +OUTSIDE that window and rescaled by total mass (which relocation preserves), +so the fitted counterfactual was bit-for-bit identical across all injection +magnitudes: the exercise measured deposit bookkeeping, not estimator power, +and its side statistic ("signed-excess change vs baseline") required knowing +the null world — information a real application never has. + +This version injects a Kleven–Waseem-consistent response: firms relocate to +just below the threshold from a missing-mass region (T*, Y_R_TRUE] that +extends BEYOND the exclusion window, with relocation probability declining +linearly from the threshold to zero at the true marginal buncher Y_R_TRUE. +The counterfactual fit therefore confronts genuinely depressed above-window +bins — exactly the situation with real bunching data — and recovery is scored +with the HEADLINE floored excess mass E and the endogenous marginal-buncher +location y_R, with no reference to the unobservable null. Writes results/recovery_bunching.txt. """ @@ -65,10 +49,11 @@ BIN_WIDTH = 1.0 # Injection geometry (£1,000 units). -DELTA = 15.0 # donor window half-width above T*: firms in [T*, T*+DELTA] may bunch. -W_BUNCH = 10.0 # bunching window below T*: relocated firms land in [T*-W_BUNCH, T*). +Y_R_TRUE = 112.0 # true marginal buncher: missing mass spans (85, 112], + # extending 12k BEYOND the exclusion window top (100). +W_SPIKE = 5.0 # relocated firms land in [T*-W_SPIKE, T*), spike toward T*. -# Known injected magnitudes (firms relocated -> excess mass E_true). +# Known injected magnitudes (weighted firms relocated = true excess mass). E_TRUE_TARGETS = (2000.0, 5000.0, 8000.0) @@ -94,7 +79,8 @@ def build_smooth_baseline(df: pd.DataFrame) -> np.ndarray: log-quadratic density trend on the wings (|y-85| > half), replace the in-window density with that smooth fit, rescale each firm's weight by (smooth / observed) in its bin, and renormalise total mass. Yields b≈0, - E≈0 — the clean null baseline for the recovery test. + E≈0 — the clean null baseline onto which the known signal is grafted, so + recovered mass is attributable entirely to the injection. """ half = 20.0 edges, centres = _bins() @@ -123,90 +109,61 @@ def build_smooth_baseline(df: pd.DataFrame) -> np.ndarray: return new_weight -def inject_bunching( +def inject_kw_bunching( turnover: np.ndarray, weight_base: np.ndarray, e_true: float, ) -> tuple[np.ndarray, float]: - """Relocate ``e_true`` units of mass from just above T* to just below it. - - Mass conservation: we remove a fraction p of the weight currently sitting in - the donor window ``[T*, T*+DELTA]`` (chosen so the removed mass equals - e_true) and re-deposit exactly that mass into the bunching window - ``[T*-W_BUNCH, T*)``, distributed with a triangular profile that peaks at the - bin immediately below T* (the canonical bunching spike). Total weight over - the estimation range is unchanged, so the ONLY change is a true behavioural - relocation across the threshold of known size e_true. - - Returns ``(new_weight, e_actual)`` where ``e_actual`` is the mass actually - relocated (== e_true unless the donor window has insufficient mass, in which - case it is capped at the donor mass and reported). + """Relocate ``e_true`` of mass from (T*, Y_R_TRUE] to just below T*. + + Kleven–Waseem-consistent response: a firm at turnover y in the donor + region (T*, Y_R_TRUE] relocates with probability + ``s * (1 - (y - T*) / (Y_R_TRUE - T*))`` — declining linearly from the + threshold to zero at the true marginal buncher — with the intensity ``s`` + chosen so the relocated mass equals ``e_true`` (capped at s=1 if the donor + region cannot supply it). Relocated mass is deposited into + [T*-W_SPIKE, T*) with a profile spiking toward T*. Total mass over the + estimation range is conserved; the missing-mass region extends beyond the + exclusion window top, as with genuine bunching. + + Returns ``(new_weight, e_actual)``. """ w = weight_base.copy() - donor = (turnover >= T_STAR) & (turnover < T_STAR + DELTA) - donor_mass = float(w[donor].sum()) + donor = (turnover > T_STAR) & (turnover <= Y_R_TRUE) + depth = 1.0 - (turnover[donor] - T_STAR) / (Y_R_TRUE - T_STAR) # 1 at T*, 0 at y_R + donor_capacity = float(np.sum(w[donor] * depth)) - e_actual = min(e_true, donor_mass) - p = e_actual / donor_mass if donor_mass > 0 else 0.0 + s = min(1.0, e_true / donor_capacity) if donor_capacity > 0 else 0.0 + removed = w[donor] * depth * s + e_actual = float(removed.sum()) + w[donor] = w[donor] - removed - # Remove mass from donor firms (scale their weights down by (1 - p)). - w[donor] = w[donor] * (1.0 - p) - - # Deposit e_actual into the bunching window with a triangular profile that - # peaks at the bin just below T*. We operate on firms, so distribute the - # added mass across firms in the window in proportion to a per-bin triangular - # kernel times each firm's base weight (so the within-bin split is sensible). - bunch = (turnover >= T_STAR - W_BUNCH) & (turnover < T_STAR) + bunch = (turnover >= T_STAR - W_SPIKE) & (turnover < T_STAR) if not np.any(bunch): return w, 0.0 - - # Triangular kernel: weight increases linearly toward T* (distance 0 at T*). - dist = T_STAR - turnover[bunch] # in (0, W_BUNCH] - kernel = (W_BUNCH - dist + BIN_WIDTH) # larger near T* - kernel = np.maximum(kernel, 0.0) - base = weight_base[bunch] - alloc = kernel * base + dist = T_STAR - turnover[bunch] # in (0, W_SPIKE] + kernel = np.maximum(W_SPIKE + BIN_WIDTH - dist, 0.0) # peaks just below T* + alloc = kernel * weight_base[bunch] if alloc.sum() <= 0: alloc = np.ones_like(alloc) - add = e_actual * alloc / alloc.sum() - idx = np.where(bunch)[0] - w[idx] = w[idx] + add + w[idx] = w[idx] + e_actual * alloc / alloc.sum() return w, e_actual -def signed_excess_below(r: dict, window_lo: float = DEFAULT_WINDOW) -> float: - """Signed (not floored) excess mass below T* over the exclusion window. - - The headline ``E`` statistic floors the per-bin excess at zero - (``max(f_obs - f_cf, 0)``). When the null baseline sits in a density DEFICIT - just below the threshold (as the smoothed Placebo-A baseline does), that - floor hides the part of an injected spike that merely fills the deficit - back up to the counterfactual. The signed below-threshold excess - ``sum(f_obs - f_cf)`` over ``[T*-window_lo, T*)`` is the correct - coverage quantity: its CHANGE relative to baseline equals the recovered - behavioural mass without the flooring artefact. - """ - c, fo, fc = r["centres"], r["f_obs"], r["f_cf"] - mN = (c >= T_STAR - window_lo) & (c < T_STAR) - return float(np.sum(fo[mN] - fc[mN]) * BIN_WIDTH) - - def estimate(turnover, weight, label, verbose=True) -> dict: r = _run_estimator(turnover, weight, T_STAR) - r["signed_excess"] = signed_excess_below(r) if verbose: print( - f" {label:<34s} b={r['b']:+.4f} E={r['E']:>10,.0f} " - f"signed={r['signed_excess']:>+9,.0f} b_llat={r['b_llat']:.3f} " - f"y_R={r['y_R']:.2f}" + f" {label:<30s} b={r['b']:+.4f} E={r['E']:>10,.0f} " + f"b_llat={r['b_llat']:.3f} y_R={r['y_R']:.2f}" ) return r def main() -> None: print("=" * 84) - print(f" RECOVERY / COVERAGE TEST (vintage {VINTAGE}, threshold £{T_STAR:.0f}k)") + print(f" RECOVERY / POWER TEST (vintage {VINTAGE}, threshold £{T_STAR:.0f}k)") print("=" * 84) df = load_firms(VINTAGE) @@ -215,164 +172,96 @@ def main() -> None: # --- Clean step-free baseline (the null world) ----------------------- w_base = build_smooth_baseline(df) r_base = estimate(t, w_base, "BASELINE (smoothed, null)") - E_base = r_base["E"] - S_base = r_base["signed_excess"] - - donor_mass = float(w_base[(t >= T_STAR) & (t < T_STAR + DELTA)].sum()) - print(f" donor-window mass [85,{85+DELTA:.0f}) available to bunch: {donor_mass:,.0f}") - print( - f" NOTE: the smoothed baseline sits in a signed DEFICIT below £85k " - f"({S_base:+,.0f})," - ) - print( - " so the floored headline E hides mass that merely refills it." - ) - print( - " The primary recovery measure is the CHANGE in signed excess" - ) - print(" below £85k relative to this baseline (deficit-differenced).") - print() - # --- Inject known signals and recover -------------------------------- + # --- Inject known KW-consistent signals and recover ------------------ rows = [] for e_true in E_TRUE_TARGETS: - w_inj, e_act = inject_bunching(t, w_base, e_true) + w_inj, e_act = inject_kw_bunching(t, w_base, e_true) r = estimate(t, w_inj, f"INJECT E_true={e_true:,.0f}") - e_hat = r["E"] # floored headline excess - s_hat = r["signed_excess"] # signed excess below T* - # Recovered behavioural mass = change in signed excess vs baseline. - e_recovered = s_hat - S_base - recov_signed = e_recovered / e_act if e_act > 0 else np.nan - recov_floored = (e_hat - E_base) / e_act if e_act > 0 else np.nan rows.append( { "E_true": e_act, - "E_hat_signed": e_recovered, - "E_hat_floored": e_hat, + "E_hat": r["E"], + "recovery": r["E"] / e_act if e_act > 0 else np.nan, "b_hat": r["b"], "b_llat": r["b_llat"], - "y_R": r["y_R"], - "recovery": recov_signed, - "recovery_floored": recov_floored, + "y_R_hat": r["y_R"], } ) res = pd.DataFrame(rows) print() - print(" Recovery summary (primary = signed-excess change vs baseline):") + print(" Recovery summary (headline floored E, mass-conservation y_R):") for _, row in res.iterrows(): print( - f" E_true={row['E_true']:>8,.0f} E_recovered={row['E_hat_signed']:>8,.0f} " - f"recovery={row['recovery']:.1%} (floored E_hat={row['E_hat_floored']:>7,.0f}, " - f"b_hat={row['b_hat']:+.4f})" + f" E_true={row['E_true']:>8,.0f} E_hat={row['E_hat']:>8,.0f} " + f"recovery={row['recovery']:.1%} y_R_hat={row['y_R_hat']:.1f} " + f"(true {Y_R_TRUE:.0f}) b_hat={row['b_hat']:+.4f}" ) - # --- Verdict --------------------------------------------------------- mean_recov = float(res["recovery"].mean()) - monotonic = bool(np.all(np.diff(res["E_hat_signed"].to_numpy()) > 0)) - - if mean_recov >= 0.85: - bias_word = f"approximately unbiased (recovers ~{mean_recov:.0%} of injected mass)" - else: - bias_word = f"attenuated (recovers ~{mean_recov:.0%} of injected mass on average)" + monotonic = bool(np.all(np.diff(res["E_hat"].to_numpy()) > 0)) # --- Write results --------------------------------------------------- lines = [] - lines.append("RECOVERY / COVERAGE TEST — £85k UK VAT bunching estimator (vintage 2023-24)") - lines.append("=" * 78) - lines.append("") - lines.append("Purpose") - lines.append("-------") lines.append( - "The placebo (results/placebo_bunching.txt) shows the estimator returns no\n" - "bunching when none is present (no false positive). This test shows the\n" - "complementary property: the estimator has POWER to recover a real\n" - "behavioural response of KNOWN magnitude (coverage / recovery)." + "RECOVERY / POWER TEST — £85k UK VAT bunching estimator " + f"(vintage {VINTAGE})" ) + lines.append("=" * 78) lines.append("") - lines.append("Method") + lines.append("Design") lines.append("------") lines.append( - "1. Baseline: take the actual £85k synthetic firms and apply the Placebo-A\n" - " reweighting (smooth log-quadratic density across £85k, no step), giving\n" - f" a null world with b={r_base['b']:+.4f}, headline E={E_base:,.0f}, signed\n" - f" below-threshold excess = {S_base:+,.0f} (a small density DEFICIT).\n" - "2. Injection: relocate a KNOWN mass E_true from a donor window just above\n" - f" the threshold [85, {85+DELTA:.0f}) to a bunching window just below it\n" - f" [{85-W_BUNCH:.0f}, 85), with a triangular profile peaking at £85k.\n" - " This is mass-conserving and is the firm location-choice the generator\n" - " lacks. The relocated mass IS the injected excess mass E_true.\n" - "3. Run the SAME estimator (bunching.model._run_estimator, degree=7,\n" - f" window=±{DEFAULT_WINDOW:.0f}k) and record recovered excess and b_hat.\n" - ) - lines.append("") - lines.append( - "Measurement note. The headline E floors per-bin excess at zero\n" - "(max(f_obs-f_cf,0)). Because the smoothed baseline sits in a signed\n" - "deficit just below £85k, the floor hides the part of an injected spike\n" - "that merely refills that deficit. The PRIMARY recovery quantity is the\n" - "CHANGE in the SIGNED below-threshold excess relative to baseline\n" - "(E_recovered = signed_excess - baseline signed_excess), which is the\n" - "deficit-differenced coverage measure. The floored E_hat is also reported." + "1. Baseline: the £85k synthetic firms under the Placebo-A reweighting\n" + " (smooth log-quadratic density across £85k), a step-free null world:\n" + f" b={r_base['b']:+.4f}, E={r_base['E']:,.0f}, y_R={r_base['y_R']:.2f}.\n" + "2. Injection (Kleven–Waseem-consistent): firms in the donor region\n" + f" (85, {Y_R_TRUE:.0f}] relocate to [{T_STAR - W_SPIKE:.0f}, 85) with probability\n" + " declining linearly from the threshold to zero at the true marginal\n" + f" buncher y_R = {Y_R_TRUE:.0f} — so the missing-mass region extends\n" + f" {Y_R_TRUE - T_STAR - DEFAULT_WINDOW:.0f}k BEYOND the ±{DEFAULT_WINDOW:.0f}k exclusion window, as with\n" + " genuine bunching. Mass is conserved.\n" + "3. Score with the HEADLINE estimator outputs only (floored excess mass\n" + " E, endogenous y_R): no side statistics that require knowing the null." ) lines.append("") lines.append("Results") lines.append("-------") hdr = ( - f"{'E_true':>10s} {'E_recovered':>12s} {'recovery':>9s} " - f"{'E_hat(fl)':>10s} {'b_hat':>8s} {'b_llat':>8s} {'y_R':>7s}" + f"{'E_true':>10s} {'E_hat':>10s} {'recovery':>9s} " + f"{'y_R_hat':>8s} {'b_hat':>8s} {'b_llat':>8s}" ) lines.append(hdr) lines.append("-" * len(hdr)) for _, row in res.iterrows(): lines.append( - f"{row['E_true']:>10,.0f} {row['E_hat_signed']:>12,.0f} " - f"{row['recovery']:>8.1%} {row['E_hat_floored']:>10,.0f} " - f"{row['b_hat']:>+8.4f} {row['b_llat']:>8.3f} {row['y_R']:>7.2f}" + f"{row['E_true']:>10,.0f} {row['E_hat']:>10,.0f} " + f"{row['recovery']:>8.1%} {row['y_R_hat']:>8.2f} " + f"{row['b_hat']:>+8.4f} {row['b_llat']:>8.3f}" ) lines.append("") lines.append( f"Baseline (null, no injection): b={r_base['b']:+.4f} " - f"E={E_base:,.0f} signed_excess={S_base:+,.0f}" + f"E={r_base['E']:,.0f} y_R={r_base['y_R']:.2f}" ) lines.append( - f"Mean recovery across magnitudes: {mean_recov:.1%} " - f"(monotone in E_true: {monotonic})" + f"True marginal buncher: y_R = {Y_R_TRUE:.0f}. " + f"Mean recovery: {mean_recov:.1%} (monotone in E_true: {monotonic})." ) lines.append("") - lines.append("Verdict") + lines.append("Reading") lines.append("-------") lines.append( - f"The estimator HAS POWER: every injected behavioural signal is detected,\n" - f"the recovered excess rises monotonically with E_true " - f"(monotone={monotonic}),\n" - f"and the bunching ratio b_hat moves steadily up from the baseline as the\n" - f"injection grows. Recovery is {bias_word}. The ~10% shortfall is a known,\n" - f"benign attenuation: the degree-7 polynomial counterfactual partially\n" - f"re-absorbs the injected spike and the fixed ±{DEFAULT_WINDOW:.0f}k exclusion window clips\n" - f"its tails, so the estimator slightly UNDER-states a true response — it\n" - f"does not over-state one. Combined with the placebo (no false positive\n" - f"when behaviour is absent), this completes the validation: the estimator\n" - f"has BOTH no-false-positive AND power to detect a genuine location-choice\n" - f"response.\n" - f"\n" - f"Caveat for the floored E. Read on its own, the headline E badly\n" - f"understates small injections (E_hat=0 at E_true=2,000) ONLY because the\n" - f"smoothed baseline starts in a below-threshold deficit that the spike must\n" - f"first refill before any POSITIVE excess registers. This is a property of\n" - f"the flooring, not a failure of power, which is why the signed-excess\n" - f"change is the correct coverage measure." - ) - lines.append("") - lines.append("One-line summary for the paper") - lines.append("------------------------------") - lines.append( - f"In a recovery exercise that injects behavioural bunching of known\n" - f"magnitude (E_true = 2,000/5,000/8,000 firms) into a step-free synthetic\n" - f"population, the estimator detects every signal and recovers ~{mean_recov:.0%} of\n" - f"the injected excess mass (slightly attenuated, never inflated), confirming\n" - f"it has power; together with the placebo's null result this shows the\n" - f"estimator is both specific (no false positive) and sensitive (has power)." + "Recovery below 100% is genuine estimator attenuation, now measured\n" + "rather than asserted: the counterfactual is fitted on bins that include\n" + "the depressed (100, 112] missing-mass region outside the exclusion\n" + "window, pulling the fitted counterfactual down and truncating the\n" + "measured missing mass; the mass-conservation search then places y_R_hat\n" + "accordingly. The estimator under-states a true response and does not\n" + "over-state one; together with the placebo's null result (no false\n" + "positive on a step-free world) this characterises the estimator as\n" + "specific and, with quantified attenuation, sensitive." ) out = RESULTS_DIR / "recovery_bunching.txt" diff --git a/src/firm_microsim/analysis/placebo_bunching.py b/src/firm_microsim/analysis/placebo_bunching.py index 71c605b..7891f8c 100644 --- a/src/firm_microsim/analysis/placebo_bunching.py +++ b/src/firm_microsim/analysis/placebo_bunching.py @@ -71,7 +71,7 @@ def estimate(turnover: np.ndarray, weight: np.ndarray, label: str) -> dict: r = _run_estimator(turnover, weight, T_STAR) print( f" {label:<28s} b={r['b']:+.4f} E={r['E']:>10,.0f} " - f"b_llat={r['b_llat']:.3f} y_R={r['y_R']:.2f} sigma={r['sigma']:.3f}" + f"b_llat={r['b_llat']:.3f} y_R={r['y_R']:.2f}" ) return r diff --git a/src/firm_microsim/bunching/__init__.py b/src/firm_microsim/bunching/__init__.py index 0fb4813..6ee9bf8 100644 --- a/src/firm_microsim/bunching/__init__.py +++ b/src/firm_microsim/bunching/__init__.py @@ -11,7 +11,6 @@ BunchingEstimator, DEFAULT_DEGREE, DEFAULT_WINDOW, - TAU_E, TAU_MAX, ) @@ -20,5 +19,4 @@ "TAU_MAX", "DEFAULT_DEGREE", "DEFAULT_WINDOW", - "TAU_E", ] diff --git a/src/firm_microsim/bunching/__main__.py b/src/firm_microsim/bunching/__main__.py index 168e5ce..fc113fc 100644 --- a/src/firm_microsim/bunching/__main__.py +++ b/src/firm_microsim/bunching/__main__.py @@ -41,7 +41,7 @@ def main() -> None: if args.no_bootstrap: res = est.estimate() print(f" b = {res['b']:.4f} excess mass E = {res['E']:,.0f} " - f"sigma = {res['sigma']:.3f}") + f"y_R = {res['y_R']:.2f}") print(f" b (LLAT normalisation) = {res['b_llat']:.3f} " f"(cf. LLAT 2021: 1.361)") else: diff --git a/src/firm_microsim/bunching/model.py b/src/firm_microsim/bunching/model.py index 8e128bc..1cb5e4d 100644 --- a/src/firm_microsim/bunching/model.py +++ b/src/firm_microsim/bunching/model.py @@ -18,8 +18,11 @@ above), rather than fixed at an arbitrary window. From these objects it computes the bunching ratio ``b``, excess mass ``E``, the -CES/logit substitution elasticity ``sigma``, the local (notch-width) turnover -elasticity, and bootstrap standard errors. +mass-conservation geometry (``Delta_R``, ``y_R``), and bootstrap standard +errors. It deliberately reports NO elasticities: with the notch geometry these +data produce, no elasticity is identified from the density alone (see the +paper's placebo), and earlier wedge-normalised "elasticity" outputs inherited +an ad hoc ``tau/2`` normalisation from a deleted smoothed-schedule model. Normalisation note (literature comparability) --------------------------------------------- @@ -54,7 +57,6 @@ DEFAULT_DEGREE = 7 # counterfactual polynomial degree DEFAULT_WINDOW = 15.0 # excluded window half-width either side of t* (£1,000) -TAU_E = 0.05 # effective wedge for the CES substitution elasticity N_BOOT = 200 # bootstrap replications RNG_SEED = 20240617 @@ -254,72 +256,6 @@ def excess_bunching_llat( return excess_mass / avg_cf_height -# --------------------------------------------------------------------------- -# Elasticities -# --------------------------------------------------------------------------- - -def substitution_elasticity( - q_N_obs: float, - q_R_obs: float, - q_N_cf: float, - q_R_cf: float, - tau_e: float = TAU_E, -) -> float: - """CES/logit share equation: ``sigma = ln(RR) / ln(1 + tau_e)``. - - ``RR = (q_R_cf / q_N_cf) / (q_R_obs / q_N_obs)`` is the relative-risk of the - above/below share between counterfactual and observed worlds. - """ - if min(q_N_obs, q_R_obs, q_N_cf, q_R_cf) <= 0: - return np.nan - rr = (q_R_cf / q_N_cf) / (q_R_obs / q_N_obs) - if rr <= 0: - return np.nan - return float(np.log(rr) / np.log(1 + tau_e)) - - -def local_turnover_elasticity( - centres: np.ndarray, - f_obs: np.ndarray, - f_cf: np.ndarray, - t_star: float, - window_lo: float, - y_R: float, -) -> tuple[float, float]: - """Local (notch-width, Method B) turnover elasticity. - - Following the notch logic of Kleven--Waseem, the excess turnover span of the - marginal buncher identifies an elasticity relative to the effective wedge: - - eps = (dy / t_star) / tau_eff, tau_eff = TAU_MAX / 2 - - (``tau(t_star) = tau_max / 2`` holds at the threshold for any sigmoid - steepness, so ``tau_eff`` is steepness-invariant.) - - Returns ``(eps_median, eps_marginal)``: the bunching-mass-weighted median of - bin-level implied elasticities across the manipulation window, and the - headline marginal-buncher elasticity built from ``dyR = y_R - t_star``. - """ - tau_eff = TAU_MAX / 2.0 - mask = (centres >= t_star - window_lo) & (centres <= y_R) - excess = np.maximum(f_obs[mask] - f_cf[mask], 0.0) - dy = np.abs(centres[mask] - t_star) - eps_bins = (dy / t_star) / tau_eff - - if excess.sum() <= 0: - return np.nan, np.nan - - order = np.argsort(eps_bins) - e_sorted = eps_bins[order] - w_sorted = excess[order] - cw = np.cumsum(w_sorted) / np.sum(w_sorted) - eps_median = float(np.interp(0.5, cw, e_sorted)) - - dyR = max(y_R - t_star, 0.0) - eps_marginal = float((dyR / t_star) / tau_eff) - return eps_median, eps_marginal - - # --------------------------------------------------------------------------- # Single-pass estimator # --------------------------------------------------------------------------- @@ -331,9 +267,12 @@ def _run_estimator( degree: int = DEFAULT_DEGREE, window_lo: float = DEFAULT_WINDOW, window_hi: float = DEFAULT_WINDOW, - tau_e: float = TAU_E, ) -> dict: - """Run the full mass-conserving estimator once and return all statistics.""" + """Run the full mass-conserving estimator once and return all statistics. + + Reports density geometry only (``b``, ``b_llat``, ``E``, ``Delta_R``, + ``y_R``, ``dyR``); no elasticity is identified from these data. + """ centres, f_obs = bin_density(turnover, weight) f_cf = fit_counterfactual(centres, f_obs, t_star, degree, window_lo, window_hi) E, Delta_R, y_R, dyR = locate_marginal_buncher( @@ -342,12 +281,7 @@ def _run_estimator( b, q_N_obs, q_R_obs, q_N_cf, q_R_cf = bunching_stats( centres, f_obs, f_cf, t_star, window_lo, y_R ) - sigma = substitution_elasticity(q_N_obs, q_R_obs, q_N_cf, q_R_cf, tau_e) - eps_median, eps_marginal = local_turnover_elasticity( - centres, f_obs, f_cf, t_star, window_lo, y_R - ) b_llat = excess_bunching_llat(centres, f_obs, f_cf, t_star, window_lo, y_R) - Pi = 1 - (1 + tau_e) ** (-sigma) if np.isfinite(sigma) else np.nan return { "b": b, "b_llat": b_llat, @@ -355,10 +289,6 @@ def _run_estimator( "Delta_R": Delta_R, "y_R": y_R, "dyR": dyR, - "sigma": sigma, - "Pi": Pi, - "eps_local_median": eps_median, - "eps_marginal": eps_marginal, "centres": centres, "f_obs": f_obs, "f_cf": f_cf, @@ -411,13 +341,11 @@ def estimate( degree: int = DEFAULT_DEGREE, window_lo: float = DEFAULT_WINDOW, window_hi: float = DEFAULT_WINDOW, - tau_e: float = TAU_E, ) -> dict: """Point estimates over the full weighted sample. Returns a dict with ``b``, ``b_llat``, ``E``, ``Delta_R``, ``y_R``, - ``dyR``, ``sigma``, ``Pi``, ``eps_local_median``, ``eps_marginal``, and - the binned ``centres``, ``f_obs``, ``f_cf`` arrays. + ``dyR``, and the binned ``centres``, ``f_obs``, ``f_cf`` arrays. """ return _run_estimator( self.firms["annual_turnover_k"].to_numpy(), @@ -426,7 +354,6 @@ def estimate( degree=degree, window_lo=window_lo, window_hi=window_hi, - tau_e=tau_e, ) def bootstrap( @@ -446,14 +373,17 @@ def bootstrap( w = self.firms["weight"].to_numpy() n = len(turnover) p = w / w.sum() + # Each replicate carries uniform weights summing to the ORIGINAL + # weighted mass W (draws are already probability-proportional-to-w); + # unit weights would rescale mass statistics such as E by n/W. + rep_w = np.full(n, w.sum() / n) - keys = ["b", "b_llat", "E", "sigma", "Pi", - "eps_local_median", "eps_marginal", "dyR"] + keys = ["b", "b_llat", "E", "dyR"] rows = [] for _ in range(n_boot): idx = rng.choice(n, size=n, replace=True, p=p) res = _run_estimator( - turnover[idx], np.ones(n), self.t_star, **kw + turnover[idx], rep_w, self.t_star, **kw ) rows.append({k: res[k] for k in keys}) return pd.DataFrame(rows) @@ -482,13 +412,11 @@ def sensitivity( self, degrees: tuple[int, ...] = (5, 6, 7, 8), windows: tuple[float, ...] = (10.0, 15.0, 20.0, 25.0), - tau_es: tuple[float, ...] = (0.025, 0.05, 0.075, 0.10), ) -> dict[str, pd.DataFrame]: - """Point-estimate sensitivity grids. + """Point-estimate sensitivity grid. - Returns ``{"degree_window": df, "tau_e": df}``: the first sweeps the - counterfactual polynomial degree against the exclusion window - (symmetric), the second sweeps the effective wedge ``tau_e``. + Returns ``{"degree_window": df}``: the counterfactual polynomial degree + swept against the (symmetric) exclusion window. """ turnover = self.firms["annual_turnover_k"].to_numpy() w = self.firms["weight"].to_numpy() @@ -507,17 +435,7 @@ def sensitivity( "b": r["b"], "b_llat": r["b_llat"], "E": r["E"], - "sigma": r["sigma"], - "eps_local_median": r["eps_local_median"], } ) - te_rows = [] - for te in tau_es: - r = _run_estimator(turnover, w, self.t_star, tau_e=te) - te_rows.append({"tau_e": te, "sigma": r["sigma"], "Pi": r["Pi"]}) - - return { - "degree_window": pd.DataFrame(dw_rows), - "tau_e": pd.DataFrame(te_rows), - } + return {"degree_window": pd.DataFrame(dw_rows)} diff --git a/src/firm_microsim/dynamic/__main__.py b/src/firm_microsim/dynamic/__main__.py index 1e4492d..0d97328 100644 --- a/src/firm_microsim/dynamic/__main__.py +++ b/src/firm_microsim/dynamic/__main__.py @@ -108,7 +108,9 @@ def main(argv=None): for rname, (sched, label) in reforms.items(): rs = reform_revenue(df, sched, E_HEADLINE, behavioural=False) beh = {} - if args.behavioural: + # The taper (regions=None) is excluded from the behavioural layer: its + # rate varies continuously, so the region-confined solve is undefined. + if args.behavioural and getattr(sched, "regions", None) is not None: for e in elasticities: beh[e] = reform_revenue(df, sched, e, behavioural=True) diff --git a/src/firm_microsim/dynamic/model.py b/src/firm_microsim/dynamic/model.py index c90fa53..8498f16 100644 --- a/src/firm_microsim/dynamic/model.py +++ b/src/firm_microsim/dynamic/model.py @@ -36,31 +36,47 @@ * General smooth schedule FOC: ``(1 - tau(y)) - y * tau'(y) = (y/n)**(1/e)``. -ABILITY RECOVERY (accounting anchor, NOT structural identification) +SCOPE: INTENSIVE MARGIN ONLY, REGION-CONFINED +--------------------------------------------- +The behavioural layer prices the INTENSIVE margin only: each firm re-optimises +turnover *within the schedule region that contains its observed turnover* +(regions are the maximal intervals on which the effective-rate fraction ``f`` +is constant). Relocation across a notch — bunching below a threshold from +above, or de-registering past a band edge — is the EXTENSIVE margin, which is +the separate analytic object (dominated region + marginal buncher) and is +deliberately out of scope here. Confining the response to the firm's own +region makes the solve a closed form, makes the ``e -> 0`` limit collapse onto +the static costing *exactly*, and removes any dependence on solver iteration +details at schedule discontinuities (a damped fixed point has no fixed point +for abilities that straddle a notch, so its iterates oscillate and the +"solution" is an artifact of the iteration count — the previous implementation +had exactly this defect). + +RESPONSE (formulation A: value-added tax, deductible share cancels) ------------------------------------------------------------------- -Given ``e`` and a firm's observed turnover ``y_obs`` under the BASELINE £85,000 -notch, using the firm's observed net VAT rate ``tau0 = liab / y_obs`` once -registered:: +Under formulation A the firm maximises +``pi = (1 - delta)(1 - tau f(y)) y - C(y; n, e)``, so the interior optimum is +``y* = n [(1-delta)(1-tau f)]**e``. The reform response RATIO from the +baseline (fraction ``f0``) to the reform (fraction ``f1``) is therefore:: - y_obs < T* : unregistered => n = y_obs. - y_obs >= T* : registered => n = y_obs / (1 - tau0)**e. + y_star / y_obs = [(1 - tau*f1) / (1 - tau*f0)] ** e, -This rationalises the observed allocation given ``e``; it is an accounting -anchor, not structural identification (``e`` is not identified from the -synthetic data — see the placebo). +with ``tau`` the STATUTORY rate: the deductible share ``delta`` cancels, so +the response needs neither ``delta`` nor the firm's net rate — ``e`` is the +sole knob (``d ln y / d ln(1 - tau f) = e`` exactly). The ratio is clipped to +the firm's schedule region. REVENUE CONVENTION ------------------ The stored net VAT remittance ``liab`` is NOT ``0.20 * turnover`` — it is the standard rate applied to value added, ``0.20 * (turnover - input)`` (a firm-specific net rate ``liab/y_obs`` of roughly 8% of turnover, i.e. -``0.20 * value-added-share``). Under a reform schedule that scales the standard rate by a -fraction ``f(y) in [0,1]`` over the band, a registered firm's reform remittance -is ``liab * (y_star / y_obs) * f(y_star)``: the firm's net VAT-to-turnover ratio -is held fixed, turnover is re-optimised to ``y_star`` (iso-elastic response), -and the schedule fraction is applied. This is exactly ``tau_R(y_star)*y_star`` -with ``tau_R(y) = (liab/y_obs) * f(y)`` and it reproduces the trusted STATIC -reform costs in the ``e -> 0`` (no-response) limit. +``0.20 * value-added-share``). Under a reform schedule with effective-rate +fraction ``f(y) in [0,1]``, a registered firm's reform remittance is +``liab * (y_star / y_obs) * f(y_star)`` — value added stays a fixed share of +turnover, turnover is re-optimised, and the schedule fraction is applied. In +the ``e -> 0`` (no-response) limit ``y_star = y_obs`` and this reproduces the +STATIC reform costs exactly. CROSS-CHECKS (see :func:`crosscheck`) ------------------------------------- @@ -68,9 +84,15 @@ 2. Marginal buncher ``n_H(e)`` = 112,795 / 127,382 / 143,527 at e = 0.05 / 0.17 / 0.32 (our iso-elastic indifference solve matches ``notch.model`` to within ±£200). -3. Elasticity check: ``d ln(y_star)/d ln(1-tau) = e`` numerically. -4. ``e -> 0`` limit: behavioural reform costs converge to the static costs - computed on the in-repository generated population. +3. Elasticity check: ``d ln(y_star)/d ln(1-tau f) = e`` numerically. +4. ``e -> 0`` limit: behavioural reform costs equal the static costs to + first order in ``e`` (checked at e = 1e-6 to within £0.1m). +5. Baseline reproduction: solving the BASELINE schedule returns every firm's + observed turnover exactly (the accounting anchor is internally consistent). +6. Raise-to-£100k invariance: the behavioural cost of a pure threshold raise + equals its static cost at EVERY ``e`` — released firms leave the VAT base + (their expansion is untaxed) and no other firm's effective rate changes, + so a level move has no intensive-margin revenue offset in this model. """ from __future__ import annotations @@ -90,7 +112,10 @@ T_STAR = 85_000.0 # registration threshold (£) TAPER_TOP = 105_000.0 # taper / reduced-rate band upper edge (£) -# Headline elasticity bracket (median 0.17, bracketed by 0.05 and 0.32). +# ASSUMED sweep values for the e-sensitivity analysis. None is identified from +# the synthetic data. The low end (0.05) is the external Kleven-Waseem (2013) +# anchor; 0.17 and 0.32 are assumption choices spanning the range used in the +# threshold literature, reported to show how the costings move with e. ELASTICITIES = (0.05, 0.17, 0.32) E_HEADLINE = 0.17 @@ -146,6 +171,12 @@ def schedule_notch(y, T=T_STAR): return (y >= T).astype(float) +# Piecewise-flat region metadata: list of (lo, hi, fraction) half-open [lo, hi) +# intervals covering [0, inf). ``None`` marks a schedule that is NOT piecewise +# flat (the taper), for which the region-confined intensive solve is undefined. +schedule_notch.regions = [(0.0, T_STAR, 0.0), (T_STAR, np.inf, 1.0)] + + def make_schedule_raise(T_new=100_000.0): """Raise the threshold to ``T_new``: the notch simply moves to ``T_new``.""" @@ -153,6 +184,7 @@ def sched(y): y = np.asarray(y, dtype=float) return (y >= T_new).astype(float) + sched.regions = [(0.0, float(T_new), 0.0), (float(T_new), np.inf, 1.0)] return sched @@ -162,6 +194,13 @@ def schedule_taper(y, T=T_STAR, top=TAPER_TOP): return np.clip((y - T) / (top - T), 0.0, 1.0) +# The taper's fraction varies continuously with y, so it has no flat regions: +# its intensive response cannot be priced by the region-confined solve (and its +# marginal-rate channel is not represented by the flat-rate FOC), so the +# behavioural layer excludes it. +schedule_taper.regions = None + + def make_schedule_reduced_rate(tau_low, T=T_STAR, top=TAPER_TOP, tau_std=TAU_MAX): """Banded reduced rate: fraction ``tau_low/tau_std`` in [T, top], 1 above.""" frac_low = tau_low / tau_std @@ -174,6 +213,11 @@ def sched(y): f[y > top] = 1.0 return f + sched.regions = [ + (0.0, float(T), 0.0), + (float(T), float(top), float(frac_low)), + (float(top), np.inf, 1.0), + ] return sched @@ -183,22 +227,7 @@ def schedule_effective_tau(schedule, y, tau_max=TAU_MAX): # --------------------------------------------------------------------------- -# Notch geometry for a schedule: where do registration notches sit? -# --------------------------------------------------------------------------- -def _schedule_notch_threshold(schedule, T=T_STAR): - """The turnover at which registration first bites under ``schedule``. - - For the raise-to-T_new schedule this is T_new; for taper/reduced-rate it is - T*. Detected numerically as the smallest y with fraction(y) > 0. - """ - grid = np.arange(T - 50_000.0, T + 60_000.0, 100.0) - f = np.asarray(schedule(grid), dtype=float) - pos = grid[f > 1e-12] - return float(pos.min()) if pos.size else T - - -# --------------------------------------------------------------------------- -# Forward solver: iso-elastic re-optimisation under a reform schedule +# Forward solver: region-confined iso-elastic response under a reform schedule # --------------------------------------------------------------------------- def forward_solve_iso_batch( n, @@ -207,65 +236,78 @@ def forward_solve_iso_batch( tau0, *, T=T_STAR, - fp_iter=60, + y_obs=None, + base_schedule=schedule_notch, + tau_std=TAU_MAX, + **_deprecated, ): - """Vectorised iso-elastic INTENSIVE-margin response for an array of abilities. - - Each firm faces its OWN baseline net VAT rate ``tau0`` (= ``liab/y_obs``, - the share of turnover it actually remits — ~3% on average, output VAT minus - input credits; NOT the statutory 20%, which is output-only). A reform - schedule scales that by the effective-rate fraction ``f(y) in [0,1]``, so the - firm's effective rate at turnover ``y`` is ``tau0 * f(y)`` and its - iso-elastic interior optimum solves the FOC:: - - (1 - tau0*f(y)) - y*(tau0*f'(y)) = (y/n)**(1/e) => y* = n*(1-tau_eff)**e - - for the locally-relevant effective rate ``tau_eff``. This makes ``e`` the SOLE - governing knob: the response to the net-of-tax rate has elasticity exactly - ``e``, and as ``e -> 0`` every firm freezes at ``y* = n``, with the recovered - ``n -> y_obs``, so the behavioural cost collapses onto the STATIC cost - (cross-check 4). The EXTENSIVE margin (bunching / de-registration) is the - separate analytic object (dominated region + marginal buncher) and is NOT - re-litigated here, so a small intensive elasticity does not spuriously empty - the registered population. - - Implementation: a damped fixed-point on ``y = n*(1 - tau0*f(y))**e``, robust - for both the flat-rate bands (immediate convergence) and the continuously - varying taper. ``n`` below the schedule's registration threshold stays at - ``n`` (unregistered; ``f=0``). Non-finite / non-positive ``n`` is returned - unchanged. Returns ``y_star`` (£), same shape as ``n``. + """Vectorised region-confined INTENSIVE-margin response (closed form). + + Each firm's observed turnover ``y_obs`` is anchored as optimal under the + BASELINE schedule (the £85k notch, fraction ``f0``). Under a reform whose + fraction on the firm's own region is ``f1``, the formulation-A optimum is:: + + y_star = y_obs * [(1 - tau_std*f1) / (1 - tau_std*f0)] ** e, + + the deductible share cancelling in the ratio, then clipped to the reform + region containing ``y_obs``. Firms whose region fraction is unchanged + (``f1 = f0``) do not move; released firms (``f1 = 0 < f0``) expand toward + their frictionless optimum but remit nothing; band firms scale up as the + band rate falls, clipped at the band top. Crossing a notch (the extensive + margin) is out of scope by construction — see the module docstring. + + ``n`` and ``tau0`` are accepted for API compatibility; the formulation-A + response ratio requires neither (the statutory ``tau_std`` and the + schedule fractions pin it). ``schedule`` must be piecewise flat (a + ``.regions`` attribute); the taper has ``regions = None`` and raises. + Returns ``y_star`` (£), same shape as ``y_obs``. """ - n = np.asarray(n, dtype=float) - tau0 = np.broadcast_to(np.asarray(tau0, dtype=float), n.shape).astype(float) - good = np.isfinite(n) & (n > 0) + regions = getattr(schedule, "regions", None) + if regions is None: + raise ValueError( + "region-confined intensive solve requires a piecewise-flat " + "schedule; the graduated taper is excluded from the behavioural " + "layer (its rate varies continuously with turnover)." + ) + if y_obs is None: + raise TypeError("forward_solve_iso_batch requires y_obs (observed £)") - T_sched = _schedule_notch_threshold(schedule, T) + y_obs = np.asarray(y_obs, dtype=float) + good = np.isfinite(y_obs) & (y_obs > 0) - # Fixed-point for the registered interior optimum y = n*(1 - tau0*f(y))**e. - # Start at y=n; damped update keeps it stable through the taper band. - y = np.where(good, n, 1.0) - for _ in range(fp_iter): - f = np.asarray(schedule(y), dtype=float) - tau_eff = np.clip(tau0 * f, 0.0, 0.999) - y_new = n * (1.0 - tau_eff) ** e - y = 0.5 * y + 0.5 * y_new + f0 = np.asarray(base_schedule(y_obs), dtype=float) + f1 = np.asarray(schedule(y_obs), dtype=float) - # A firm whose frictionless optimum is below the schedule's registration - # threshold is unregistered and simply locates at n (no tax wedge). - y = np.where(n < T_sched, n, y) + ratio = ((1.0 - tau_std * f1) / (1.0 - tau_std * f0)) ** e + y_star = y_obs * ratio - return np.where(good, y, n) + # Clip into the reform region containing y_obs. Region membership follows + # the schedule callable itself (fraction match), so boundary conventions + # (e.g. an inclusive band top) agree exactly with the static evaluation. + penny = 0.01 + for lo, hi, frac in regions: + member = good & (np.abs(f1 - frac) < 1e-12) & (y_obs >= lo) + if not np.any(member): + continue + if np.isfinite(hi): + f_at_hi = float(np.asarray(schedule(np.array([hi])), dtype=float)[0]) + hi_clip = hi if abs(f_at_hi - frac) < 1e-12 else hi - penny + else: + hi_clip = np.inf + y_star = np.where(member, np.clip(y_star, lo, hi_clip), y_star) + return np.where(good, y_star, y_obs) -def forward_solve_iso(n, e, schedule, tau0=TAU_MAX, **kw): + +def forward_solve_iso(y_obs, e, schedule, tau0=TAU_MAX, **kw): """Scalar wrapper around :func:`forward_solve_iso_batch`. - ``tau0`` defaults to the statutory ``TAU_MAX`` so the elasticity cross-check - (which probes the registered optimum ``n*(1-tau)**e``) uses the full - statutory wedge; the population revenue solve passes each firm's own net rate. + The first argument is the firm's observed (baseline-anchored) turnover in + pounds; the response ratio is governed solely by ``e``, the statutory rate, + and the baseline/reform schedule fractions at that turnover. """ out = forward_solve_iso_batch( - np.atleast_1d(float(n)), e, schedule, tau0, **kw) + None, e, schedule, tau0, y_obs=np.atleast_1d(float(y_obs)), **kw) return float(out[0]) @@ -329,23 +371,22 @@ def reform_revenue( ``df`` must provide ``turnover`` (£), ``liab`` (£, baseline net VAT remittance), and ``weight``. - Each firm faces its OWN baseline net VAT rate ``tau0 = liab/y_obs`` (~3% of - turnover on average — the share it actually remits, output VAT minus input - credits). A reform schedule scales that by the effective-rate fraction - ``f(y)``, so the firm's effective rate is ``tau0 * f(y)`` and its remittance - is ``liab * (y/y_obs) * f(y)`` (net VAT proportional to turnover). + A firm's remittance under a schedule with effective-rate fraction ``f(y)`` + is ``liab * (y/y_obs) * f(y)``: net VAT stays proportional to turnover + (value added a fixed share) and the schedule fraction is applied. - BASELINE (£85k notch) and REFORM are evaluated SYMMETRICALLY through the same - iso-elastic forward solve: + BASELINE (£85k notch) and REFORM are evaluated SYMMETRICALLY through the + same region-confined forward solve: * STATIC (``behavioural=False``): turnover fixed at observed; only the effective-rate fraction changes (notch ``f=1`` above T* vs the reform's ``f``). This reproduces the trusted static reform costs. - * BEHAVIOURAL: firms in ``[band_lo, band_hi]`` re-optimise turnover under the - iso-elastic model with elasticity ``e`` — under the £85k notch for the - baseline (``t_notch``) and under the reform schedule (``t_new``). As - ``e -> 0`` both freeze at observed turnover, so the behavioural cost - converges to the static cost (cross-check 4). + * BEHAVIOURAL: firms in ``[band_lo, band_hi]`` re-optimise turnover within + their own schedule region (formulation-A ratio, elasticity ``e``) — under + the £85k notch for the baseline (``t_notch``, which reproduces observed + turnover exactly: the accounting anchor) and under the reform schedule + (``t_new``). As ``e -> 0`` the ratio -> 1, so the behavioural cost + collapses onto the static cost exactly (cross-check 4). Returns a dict with baseline/reform revenue, the change vs baseline, the number of firms re-optimising, the near-threshold mass change, and the @@ -356,6 +397,8 @@ def reform_revenue( w = df["weight"].to_numpy(dtype=float) # Firm-specific baseline net VAT rate (share of turnover actually remitted). + # Not needed for the formulation-A response ratio (the deductible share + # cancels); retained for diagnostics. with np.errstate(divide="ignore", invalid="ignore"): tau0 = np.where(t_obs > 0, liab / t_obs, 0.0) @@ -363,15 +406,20 @@ def reform_revenue( idx = np.where(band)[0] if behavioural: - n = recover_ability(t_obs, e, T=T, tau=tau0) t_new = t_obs.copy() t_new[idx] = forward_solve_iso_batch( - n[idx], e, schedule, tau0[idx], T=T) - # Baseline turnover under the £85k notch via the SAME machinery — the - # apples-to-apples reference (both worlds re-optimised identically). + None, e, schedule, tau0[idx], T=T, y_obs=t_obs[idx]) + # Baseline turnover under the £85k notch via the SAME machinery — this + # must reproduce observed turnover exactly (accounting anchor). t_notch = t_obs.copy() t_notch[idx] = forward_solve_iso_batch( - n[idx], e, schedule_notch, tau0[idx], T=T) + None, e, schedule_notch, tau0[idx], T=T, y_obs=t_obs[idx]) + anchor_gap = float(np.max(np.abs(t_notch - t_obs))) if idx.size else 0.0 + if anchor_gap > 1e-6: + raise AssertionError( + f"baseline solve failed to reproduce observed turnover " + f"(max gap £{anchor_gap:.4f}) — accounting anchor violated" + ) else: t_new = t_obs t_notch = t_obs @@ -500,22 +548,19 @@ def check(name, value, target, tol, unit=""): # The two solves must agree with each other to ±£200. check(f"buncher agreement(e={e})", nH_iso, nH, 200.0, " GBP") - # 3. ELASTICITY CHECK: d ln(y*)/d ln(1-tau) = e for a registered firm. - # The firm faces effective rate tau0*f(y); with tau0=TAU_MAX and a flat - # fraction f=tau/TAU_MAX the effective rate is exactly tau, so the - # registered optimum is y* = n*(1-tau)**e. Perturb tau and confirm the - # log-response equals the input e (e is the governing knob). - n_test = 200_000.0 + # 3. ELASTICITY CHECK: d ln(y*)/d ln(1 - tau*f) = e for a registered firm. + # Probe two wide reduced-rate bands (fractions 0.5 and 0.6, effective + # rates 10% and 12%); the log response ratio must equal e exactly. + y_probe = 200_000.0 for e in (0.05, 0.17, 0.32): - tau_a, dtau = 0.20, 0.01 - def flat(tau): - return lambda y: (np.asarray(y, dtype=float) >= T_STAR).astype(float) * (tau / TAU_MAX) - y0 = forward_solve_iso(n_test, e, flat(tau_a), tau0=TAU_MAX) - y1 = forward_solve_iso(n_test, e, flat(tau_a + dtau), tau0=TAU_MAX) - elas = (np.log(y1) - np.log(y0)) / (np.log(1 - (tau_a + dtau)) - np.log(1 - tau_a)) - check(f"elasticity d ln y*/d ln(1-tau) (e={e})", elas, e, 0.02, "") - - # Static + behavioural(e->0) reform costs. + s_a = make_schedule_reduced_rate(0.10, top=1e9) + s_b = make_schedule_reduced_rate(0.12, top=1e9) + y_a = forward_solve_iso(y_probe, e, s_a) + y_b = forward_solve_iso(y_probe, e, s_b) + elas = (np.log(y_a) - np.log(y_b)) / (np.log(1 - 0.10) - np.log(1 - 0.12)) + check(f"elasticity d ln y*/d ln(1-tau f) (e={e})", elas, e, 1e-9, "") + + # Static + behavioural reform costs on the in-repository population. df = load_reform_data(data_path) t = df["turnover"].to_numpy() liab = df["liab"].to_numpy() @@ -524,14 +569,27 @@ def flat(tau): record("baseline registered base", base / 1e9, " bn") reforms = build_reforms() - e_lim = 0.001 # e -> 0 limit + static_costs = {} for rname, (sched, _label) in reforms.items(): - # Static. + # Static (all reforms, including the taper). rs = reform_revenue(df, sched, E_HEADLINE, behavioural=False) + static_costs[rname] = rs["d_rev"] record(f"static {rname}", rs["d_rev"], " GBP") - # 4. e -> 0 behavioural must converge to the static cost. - rb = reform_revenue(df, sched, e_lim, behavioural=True) - check(f"behavioural(e->0) {rname}", rb["d_rev"], rs["d_rev"], 20e6, " GBP") + if getattr(sched, "regions", None) is None: + continue # taper: behavioural layer excluded (non-flat schedule) + # 4. e -> 0 nesting must be EXACT (to £0.1m at e = 1e-6). The baseline + # reproduction (check 5) is asserted inside reform_revenue itself. + rb = reform_revenue(df, sched, 1e-6, behavioural=True) + check(f"behavioural(e->0) {rname}", rb["d_rev"], rs["d_rev"], 0.1e6, " GBP") + + # 6. Raise-to-£100k invariance: a pure level move has NO intensive-margin + # revenue offset — behavioural cost equals static cost at EVERY swept e + # (released firms leave the base; no other firm's effective rate changes). + sched_raise, _ = reforms["raise100k"] + for e in ELASTICITIES: + rb = reform_revenue(df, sched_raise, e, behavioural=True) + check(f"raise100k behavioural==static (e={e})", + rb["d_rev"], static_costs["raise100k"], 0.1e6, " GBP") if verbose: print("CROSSCHECK PASSED — analytic invariants and repo-data checks passed:") diff --git a/src/firm_microsim/notch/model.py b/src/firm_microsim/notch/model.py index af7ee59..0d0cc70 100644 --- a/src/firm_microsim/notch/model.py +++ b/src/firm_microsim/notch/model.py @@ -44,8 +44,10 @@ TAU = 0.20 # statutory UK VAT rate (full effective rate once registered) ALPHA = 0.989 # returns-to-scale (near-CRS; flags taxed-branch degeneracy) -# Structural turnover elasticities for the marginal-buncher solve, calibrated to -# the paper's reduced-form bunching estimates (median ~0.17, mean ~0.32). +# ASSUMED turnover elasticities for the marginal-buncher solve. These are the +# midpoint and upper sweep values of the paper's e-sensitivity analysis (see +# dynamic.model.ELASTICITIES); they are assumption choices, NOT identified from +# the synthetic data and NOT derived from the reduced-form bunching outputs. E_MEDIAN = 0.17 E_MEAN = 0.32 diff --git a/src/firm_microsim/report.py b/src/firm_microsim/report.py index 67b3061..3d1c444 100644 --- a/src/firm_microsim/report.py +++ b/src/firm_microsim/report.py @@ -33,6 +33,12 @@ def _vintage_lines(vintage: str) -> list[str]: """Return the report lines for one vintage (or a skip notice).""" cfg = Config.for_vintage(vintage) csv_path = cfg.synthetic_dir / f"synthetic_firms_{vintage}.csv" + if not csv_path.exists(): + # A bare ``firm_microsim.generate()`` writes the generic + # ``cfg.output_file`` name rather than the vintage-suffixed one. + fallback = cfg.synthetic_dir / cfg.output_file + if fallback.exists(): + csv_path = fallback out = ["", "=" * 64, f" Vintage {vintage} | threshold £{int(cfg.vat_threshold)}k", From 26b23808eef5a888e9725b4ff4531f6a59facb84 Mon Sep 17 00:00:00 2001 From: Max Ghenis Date: Wed, 1 Jul 2026 23:54:26 +0200 Subject: [PATCH 3/9] Regenerate all results and figures on the corrected model Both vintages rebuilt with v = 0.20(turnover - inputs); all artifacts regenerated: calibration report (89.4%/89.4%), static sweep + anchor (new static_sweep.txt artifact with voluntary-retention sensitivity), reform menu (raise -698m, taper -466m, 10% band -460m, 15% band -230m on the common 184.7bn base), behavioural table (raise == static at every e; band offsets second-order), bunching (E=0 at 85k; spurious E=196k at the 90k band edge on the 2024-25 vintage), placebo (E=0 under all treatments), redesigned recovery test, dominated-region masses, iso-optimum verification. Co-Authored-By: Claude Fable 5 --- analysis/static_results_dump.py | 74 ++++++++++++++ paper/figures/dynamic_cost_vs_elasticity.png | Bin 231725 -> 174742 bytes paper/figures/dynamic_notch_fit_e005.png | Bin 0 -> 134019 bytes paper/figures/dynamic_notch_fit_e017.png | Bin 130913 -> 133446 bytes paper/figures/dynamic_notch_fit_e032.png | Bin 0 -> 134170 bytes ...distribution_raisethresholdto100k_e017.png | Bin 0 -> 206398 bytes ...distribution_reducedrate1085k105k_e017.png | Bin 0 -> 225264 bytes ...distribution_reducedrate1585k105k_e017.png | Bin 0 -> 225946 bytes paper/figures/formulation_a_optima.png | Bin 305191 -> 339068 bytes results/bunching_analysis_85k.png | Bin 266426 -> 265920 bytes results/bunching_analysis_90k.png | Bin 237807 -> 206784 bytes results/bunching_cli.log | 26 +++++ results/calibration_accuracy.txt | 30 +++--- results/dominated_region_mass.txt | 68 +++++++------ results/dynamic_cost_vs_elasticity.png | Bin 0 -> 174742 bytes results/dynamic_notch_fit_e005.png | Bin 0 -> 134019 bytes results/dynamic_notch_fit_e017.png | Bin 0 -> 133446 bytes results/dynamic_notch_fit_e032.png | Bin 0 -> 134170 bytes ...distribution_raisethresholdto100k_e017.png | Bin 0 -> 206398 bytes ...distribution_reducedrate1085k105k_e017.png | Bin 0 -> 225264 bytes ...distribution_reducedrate1585k105k_e017.png | Bin 0 -> 225946 bytes results/dynamic_reform_results.txt | 10 +- results/figures_cli.log | 14 +++ results/firms_by_turnover_band_85k.png | Bin 153794 -> 123789 bytes results/firms_by_turnover_band_90k.png | Bin 152791 -> 123542 bytes results/firms_impact_2025_26.png | Bin 174407 -> 162299 bytes results/formulation_a_optima.png | Bin 305191 -> 339068 bytes results/iso_optimum_verification.png | Bin 330959 -> 361395 bytes results/placebo_bunching.txt | 10 +- results/placebo_cli.log | 12 +++ results/recovery_bunching.txt | 94 ++++++------------ results/reform_menu_common_base.txt | 30 +++--- results/revenue_impact_2025_26.png | Bin 166845 -> 141639 bytes results/static_sweep.txt | 49 +++++++++ results/turnover_distribution_85k.png | Bin 119243 -> 108609 bytes results/turnover_distribution_90k.png | Bin 129435 -> 114107 bytes results/vat_firms_by_turnover_band_85k.png | Bin 183330 -> 135753 bytes results/vat_firms_by_turnover_band_90k.png | Bin 182857 -> 136317 bytes results/vat_threshold_revenue_impact.png | Bin 156013 -> 176121 bytes .../analysis/dominated_region_mass.py | 34 ++++--- 40 files changed, 299 insertions(+), 152 deletions(-) create mode 100644 analysis/static_results_dump.py create mode 100644 paper/figures/dynamic_notch_fit_e005.png create mode 100644 paper/figures/dynamic_notch_fit_e032.png create mode 100644 paper/figures/dynamic_reform_distribution_raisethresholdto100k_e017.png create mode 100644 paper/figures/dynamic_reform_distribution_reducedrate1085k105k_e017.png create mode 100644 paper/figures/dynamic_reform_distribution_reducedrate1585k105k_e017.png create mode 100644 results/bunching_cli.log create mode 100644 results/dynamic_cost_vs_elasticity.png create mode 100644 results/dynamic_notch_fit_e005.png create mode 100644 results/dynamic_notch_fit_e017.png create mode 100644 results/dynamic_notch_fit_e032.png create mode 100644 results/dynamic_reform_distribution_raisethresholdto100k_e017.png create mode 100644 results/dynamic_reform_distribution_reducedrate1085k105k_e017.png create mode 100644 results/dynamic_reform_distribution_reducedrate1585k105k_e017.png create mode 100644 results/figures_cli.log create mode 100644 results/placebo_cli.log create mode 100644 results/static_sweep.txt diff --git a/analysis/static_results_dump.py b/analysis/static_results_dump.py new file mode 100644 index 0000000..3f727a0 --- /dev/null +++ b/analysis/static_results_dump.py @@ -0,0 +1,74 @@ +"""Dump the static sweep, anchor comparison, and revenue bases as a text artifact. + +The paper's flagship static table (tab:static_revenue) previously existed only +as figure pixels and an HTML preview; this writes the full machine-readable +numbers to results/static_sweep.txt so every printed row is reproducible. +Also reports the voluntary-retention sensitivity on the anchor reform: the +headline convention deregisters every released firm; the sensitivity retains +the Liu et al. (2021) voluntary-registration share of released-firm liability. +""" + +from __future__ import annotations + +from firm_microsim.config import RESULTS_DIR +from firm_microsim.static.model import StaticVATModel, SWEEP_THRESHOLDS + +LLAT_VOLUNTARY_SHARE = 0.43 # Liu-Lockwood-Almunia-Tam (2021): ~43% below-threshold + + +def main() -> None: + lines = [] + W = lines.append + + sweep_model = StaticVATModel("2024-25") + anchor_model = StaticVATModel("2023-24") + + W("STATIC RESULTS DUMP") + W("=" * 74) + W("") + W("Anchor reform (85k -> 90k, 2023-24 vintage = HMRC's pre-reform basis)") + W("model vs HMRC published costing (Spring Budget 2024), by fiscal year;") + W("baseline column = counterfactual threshold path (85/85/87/89/92k).") + W("-" * 74) + anchor = anchor_model.anchor_reform() + W(anchor.to_string(index=False)) + W("") + W("Voluntary-retention sensitivity (anchor, per year): headline assumes") + W("every released firm deregisters (full liability lost). If the Liu et") + W(f"al. (2021) voluntary share ({LLAT_VOLUNTARY_SHARE:.0%}) of released-firm liability is") + W("retained, the impact scales accordingly:") + for _, row in anchor.iterrows(): + impact = float(row["policyengine_impact_m"]) + W(f" {row['year']}: headline {impact:+,.1f}m -> retention-adjusted " + f"{impact * (1 - LLAT_VOLUNTARY_SHARE):+,.1f}m " + f"(HMRC {float(row['hmrc_impact_m']):+,.0f}m)") + W("") + W("Threshold sweep (2024-25 vintage, GBP 90k baseline, 2025-26 fiscal year)") + W("counterfactual method: smooth above-threshold extrapolation (degree 1)") + W("-" * 74) + sweep = sweep_model.threshold_sweep(year="2025-26") + W(sweep.to_string(index=False)) + W("") + for year in ("2025-26", "2026-27"): + W(f"Total VAT revenue at GBP 90k, {year}: " + f"{sweep_model.total_revenue_bn(year=year):.1f}bn") + W("") + W("Bases and calibration-target comparison") + W("-" * 74) + for vintage, model in (("2023-24", anchor_model), ("2024-25", sweep_model)): + df = model._aged(1.0) + thr = 85_000.0 if vintage == "2023-24" else 90_000.0 + reg = df["turnover"] >= thr + base = float((df.loc[reg, "liab"] * df.loc[reg, "weight"]).sum()) / 1e9 + W(f" {vintage}: registered base (>= threshold, unaged) = {base:.1f}bn") + W("") + W(f"Sweep thresholds: {SWEEP_THRESHOLDS}") + + out = RESULTS_DIR / "static_sweep.txt" + out.write_text("\n".join(lines) + "\n") + print("\n".join(lines)) + print(f"\nWrote {out}") + + +if __name__ == "__main__": + main() diff --git a/paper/figures/dynamic_cost_vs_elasticity.png b/paper/figures/dynamic_cost_vs_elasticity.png index 55337a1e4ea17b1358847d652ab99d8444e65b03..ec55954115a3c939f2d0e67c982e00abba784a54 100644 GIT binary patch literal 174742 zcmeFZcR1Dk{|A2DDn)2m+3uuamh6n1kR&7{BXrW>*n1o_P-ZttWrZ>_kG+YIWM%Jc zj=i_@d%l(GzCYjZ=X+hh-@m_eUH5h0Zq7OH_v`(fkLTm@e5!I)o}84P6oo>OD_pvG z4TT~#N1;f(_V0uLBiU)_0sj)Uk=3$MGrwbFZ)jzNQZlr$z?j=$?%!gyGqSS2Z*IoV zbM`C`9~bLA8ygF2QC?otpMSw)ZgrP8xau8zBLfX`tsMM_I_mfwomk-=%kPPk?aQ-ss6Zl=m?wA^5b4YJ@;2xbxm7)+x!Bvp03FH 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