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//! Market world model for dynamics simulation.
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//!
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//! Implements a simplified world model for market state evolution.
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use marketsim_shared::{EconomicFactors, MarketIndicators, ScenarioType};
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/// Market dynamics parameters.
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#[derive(Debug, Clone)]
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pub struct DynamicsParams {
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/// Base drift (annualized).
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pub drift: f64,
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/// Base volatility (annualized).
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pub volatility: f64,
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/// Mean reversion speed.
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pub mean_reversion: f64,
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/// Correlation with market.
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pub market_correlation: f64,
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/// Jump intensity (probability per day).
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pub jump_intensity: f64,
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/// Jump size (mean).
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pub jump_size_mean: f64,
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/// Jump size (std).
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pub jump_size_std: f64,
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}
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impl Default for DynamicsParams {
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fn default() -> Self {
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Self {
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drift: 0.08,
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volatility: 0.20,
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mean_reversion: 0.1,
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market_correlation: 0.6,
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jump_intensity: 0.01,
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jump_size_mean: -0.03,
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jump_size_std: 0.02,
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}
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}
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}
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/// Market world model.
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#[derive(Debug)]
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pub struct MarketWorldModel {
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/// Default dynamics parameters.
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default_params: DynamicsParams,
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/// Risk-free rate.
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risk_free_rate: f64,
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}
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impl Default for MarketWorldModel {
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fn default() -> Self {
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Self::new()
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}
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}
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impl MarketWorldModel {
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/// Create a new world model.
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#[must_use]
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pub fn new() -> Self {
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Self {
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default_params: DynamicsParams::default(),
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risk_free_rate: 0.04,
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}
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}
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/// Get parameters adjusted for scenario type.
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#[must_use]
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pub fn get_scenario_params(
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&self,
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scenario_type: ScenarioType,
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severity: f64,
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) -> DynamicsParams {
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let base = self.default_params.clone();
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match scenario_type {
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ScenarioType::Crisis => DynamicsParams {
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drift: base.drift - 0.30 * severity,
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volatility: base.volatility * (1.0 + 2.0 * severity),
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mean_reversion: base.mean_reversion * 0.5,
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market_correlation: 0.9, // Correlations spike in crisis
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jump_intensity: base.jump_intensity * (1.0 + 5.0 * severity),
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jump_size_mean: -0.05 - 0.05 * severity,
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jump_size_std: base.jump_size_std * 2.0,
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},
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ScenarioType::Rally => DynamicsParams {
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drift: base.drift + 0.20 * severity,
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volatility: base.volatility * (1.0 - 0.3 * severity),
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mean_reversion: base.mean_reversion,
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market_correlation: 0.7,
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jump_intensity: base.jump_intensity * (1.0 + severity),
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jump_size_mean: 0.02 + 0.02 * severity,
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jump_size_std: base.jump_size_std,
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},
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ScenarioType::HighVolatility => DynamicsParams {
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drift: base.drift,
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volatility: base.volatility * (1.0 + 1.5 * severity),
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mean_reversion: base.mean_reversion * 1.5,
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market_correlation: 0.5,
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jump_intensity: base.jump_intensity * (1.0 + 3.0 * severity),
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jump_size_mean: 0.0,
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jump_size_std: base.jump_size_std * 2.0,
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},
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ScenarioType::LowVolatility => DynamicsParams {
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drift: base.drift * 0.8,
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volatility: base.volatility * (1.0 - 0.5 * severity),
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mean_reversion: base.mean_reversion * 2.0,
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market_correlation: 0.4,
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jump_intensity: base.jump_intensity * (1.0 - 0.5 * severity),
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jump_size_mean: 0.0,
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jump_size_std: base.jump_size_std * 0.5,
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},
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ScenarioType::SectorRotation => DynamicsParams {
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drift: base.drift,
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volatility: base.volatility * 1.2,
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mean_reversion: base.mean_reversion,
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market_correlation: 0.3, // Lower correlations
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jump_intensity: base.jump_intensity,
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jump_size_mean: 0.0,
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jump_size_std: base.jump_size_std,
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},
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ScenarioType::RateShock => DynamicsParams {
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drift: base.drift - 0.10 * severity,
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volatility: base.volatility * (1.0 + 0.5 * severity),
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mean_reversion: base.mean_reversion,
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market_correlation: 0.7,
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jump_intensity: 0.0,
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jump_size_mean: 0.0,
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jump_size_std: 0.0,
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},
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ScenarioType::InflationSpike => DynamicsParams {
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drift: base.drift - 0.15 * severity,
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volatility: base.volatility * (1.0 + 0.8 * severity),
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mean_reversion: base.mean_reversion * 0.8,
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market_correlation: 0.6,
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jump_intensity: base.jump_intensity,
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jump_size_mean: -0.02 * severity,
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jump_size_std: base.jump_size_std,
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},
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ScenarioType::Custom => base,
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}
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}
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/// Simulate one step of market dynamics.
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#[must_use]
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pub fn step(
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&self,
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current_price: f64,
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params: &DynamicsParams,
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dt: f64,
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z: f64, // Standard normal random
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z_jump: f64, // For jump size
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u_jump: f64, // Uniform for jump occurrence
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) -> f64 {
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// Daily drift
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let drift = (params.drift - 0.5 * params.volatility.powi(2)) * dt;
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// Diffusion
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let diffusion = params.volatility * dt.sqrt() * z;
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// Jump component
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let jump = if u_jump < params.jump_intensity * dt {
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params.jump_size_mean + params.jump_size_std * z_jump
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} else {
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0.0
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};
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// New price (geometric Brownian motion with jumps)
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current_price * (drift + diffusion + jump).exp()
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}
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/// Evolve market indicators based on scenario.
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#[must_use]
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pub fn evolve_indicators(
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&self,
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current: &MarketIndicators,
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scenario_type: ScenarioType,
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severity: f64,
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dt: f64,
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) -> MarketIndicators {
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let vix_target = match scenario_type {
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ScenarioType::Crisis => 40.0 + 30.0 * severity,
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ScenarioType::Rally => 12.0 - 2.0 * severity,
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ScenarioType::HighVolatility => 30.0 + 15.0 * severity,
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ScenarioType::LowVolatility => 10.0 - 3.0 * severity,
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_ => current.vix,
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};
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// Mean reversion towards target
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let vix_speed = 0.1;
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let new_vix = current.vix + vix_speed * (vix_target - current.vix) * dt * 252.0;
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MarketIndicators {
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vix: new_vix.clamp(8.0, 80.0),
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sp500: current.sp500, // Updated separately
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treasury_10y: current.treasury_10y,
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credit_spread: current.credit_spread
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+ if scenario_type == ScenarioType::Crisis {
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0.01 * severity
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} else {
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0.0
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},
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put_call_ratio: current.put_call_ratio,
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}
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}
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/// Evolve economic factors.
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#[must_use]
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pub fn evolve_economic_factors(
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&self,
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current: &EconomicFactors,
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scenario_type: ScenarioType,
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severity: f64,
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_dt: f64,
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) -> EconomicFactors {
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match scenario_type {
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ScenarioType::Crisis => EconomicFactors {
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gdp_growth: current.gdp_growth - 0.5 * severity,
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inflation: current.inflation - 0.2 * severity,
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unemployment: current.unemployment + 0.3 * severity,
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fed_funds_rate: current.fed_funds_rate - 0.25 * severity,
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consumer_sentiment: current.consumer_sentiment - 10.0 * severity,
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},
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ScenarioType::InflationSpike => EconomicFactors {
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gdp_growth: current.gdp_growth - 0.3 * severity,
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inflation: current.inflation + 2.0 * severity,
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unemployment: current.unemployment + 0.1 * severity,
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fed_funds_rate: current.fed_funds_rate + 0.5 * severity,
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consumer_sentiment: current.consumer_sentiment - 5.0 * severity,
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},
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_ => current.clone(),
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}
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}
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/// Get the risk-free rate.
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#[must_use]
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pub fn risk_free_rate(&self) -> f64 {
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self.risk_free_rate
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}
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}
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#[cfg(test)]
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mod tests {
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use super::*;
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#[test]
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fn test_world_model_creation() {
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let model = MarketWorldModel::new();
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assert!(model.risk_free_rate() > 0.0);
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}
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#[test]
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fn test_crisis_params() {
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let model = MarketWorldModel::new();
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let params = model.get_scenario_params(ScenarioType::Crisis, 0.8);
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// Crisis should have negative drift
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assert!(params.drift < 0.0);
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// Crisis should have high volatility
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assert!(params.volatility > model.default_params.volatility);
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// Crisis should have high jump intensity
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assert!(params.jump_intensity > model.default_params.jump_intensity);
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}
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#[test]
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fn test_rally_params() {
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let model = MarketWorldModel::new();
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let params = model.get_scenario_params(ScenarioType::Rally, 0.6);
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// Rally should have positive drift
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assert!(params.drift > model.default_params.drift);
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// Rally should have lower volatility
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assert!(params.volatility < model.default_params.volatility);
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}
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#[test]
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fn test_step() {
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let model = MarketWorldModel::new();
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let params = model.default_params.clone();
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let new_price = model.step(100.0, ¶ms, 1.0 / 252.0, 0.0, 0.0, 1.0);
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// With z=0 and no jump, price should change slightly due to drift
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assert!((new_price - 100.0).abs() < 1.0);
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}
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#[test]
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fn test_evolve_indicators() {
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let model = MarketWorldModel::new();
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let current = MarketIndicators::default();
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let evolved = model.evolve_indicators(¤t, ScenarioType::Crisis, 0.8, 1.0 / 252.0);
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// VIX should increase towards crisis target
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assert!(evolved.vix > current.vix);
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}
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}
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