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Implements all phases of the derivatives expansion plan: Rust core (crates/ferro_ta_core/src/options/, src/futures/): - BSM and Black-76 pricing (scalar + vectorized batch) - Greeks: delta, gamma, vega, theta, rho - Implied volatility solver (Newton + bisection fallback) - Smile/skew metrics: ATM IV, 25-delta RR/BF, skew slope, convexity - Chain helpers: moneyness labels, strike selection by offset or delta - Synthetic forwards, basis, annualized basis, implied carry, carry spread - Continuous contract stitching: weighted, back-adjusted, ratio-adjusted - Curve analytics: calendar spreads, slope, contango/backwardation summary PyO3 bindings (src/options/, src/futures/): - All Rust functions registered and exposed via _ferro_ta extension Python API (python/ferro_ta/analysis/): - options.py: pricing, greeks, IV, smile, chain, legacy iv_rank/percentile/zscore - futures.py: basis, carry, curve, roll, synthetic, continuous contracts - options_strategy.py: typed strategy schemas (expiry/strike selectors, leg presets, risk controls, simulation limits) - derivatives_payoff.py: multi-leg payoff aggregation and Greeks aggregation Bug fix: wrap _to_f64 calls in iv_rank/iv_percentile/iv_zscore to raise FerroTAInputError (not plain ValueError) for 2D array input. Docs: derivatives.rst, derivatives-analytics.md, options-volatility.md, quickstart.rst, index.rst, api/analysis.rst all updated. Tests: 2053 pass, 12 skipped. All CI checks pass locally. Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
2.2 KiB
2.2 KiB
Options and Implied Volatility
ferro-ta exposes options analytics from ferro_ta.analysis.options.
Scope
The module now covers both classic IV-series helpers and model-based option analytics:
iv_rank,iv_percentile,iv_zscore- Black-Scholes-Merton pricing
- Black-76 pricing
- Delta, gamma, vega, theta, rho
- Implied volatility inversion
- Smile metrics and chain helpers
Heavy computation runs in Rust through the _ferro_ta extension.
IV-series helpers
The original rolling helpers remain available and keep their public names:
import numpy as np
from ferro_ta.analysis.options import iv_rank, iv_percentile, iv_zscore
iv = np.array([18.5, 22.3, 19.1, 25.0, 30.2, 27.8, 21.4, 19.0])
rank = iv_rank(iv, window=5)
pct = iv_percentile(iv, window=5)
z = iv_zscore(iv, window=5)
These helpers accept a 1-D IV series and return rolling statistics with
NaN during the warmup period.
Pricing and Greeks
from ferro_ta.analysis.options import greeks, implied_volatility, option_price
price = option_price(100.0, 100.0, 0.05, 1.0, 0.20, option_type="call")
iv = implied_volatility(price, 100.0, 100.0, 0.05, 1.0, option_type="call")
g = greeks(100.0, 100.0, 0.05, 1.0, 0.20, option_type="call")
Conventions:
- Volatility is decimal annualized volatility:
0.20means 20%. - Rates are decimal annualized rates:
0.05means 5%. time_to_expiryis measured in years.model="bsm"uses spot as the underlying input.model="black76"uses forward as the underlying input.
Smile and chain helpers
from ferro_ta.analysis.options import label_moneyness, select_strike, smile_metrics
strikes = [80, 90, 100, 110, 120]
vols = [0.30, 0.25, 0.20, 0.22, 0.27]
metrics = smile_metrics(strikes, vols, 100.0, 0.5)
labels = label_moneyness(strikes, 100.0, option_type="call")
atm = select_strike(strikes, 100.0, selector="ATM")
delta_strike = select_strike(
strikes,
100.0,
selector="DELTA0.25",
option_type="call",
volatilities=vols,
time_to_expiry=0.5,
)
Related futures analytics
See ferro_ta.analysis.futures and
docs/derivatives-analytics.md for synthetic
forwards, basis, carry, curve, and roll analytics.