work on calculations
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371
libs/utils/test/calculations/position-sizing.test.ts
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371
libs/utils/test/calculations/position-sizing.test.ts
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/**
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* Test suite for position sizing calculations
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*/
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import { describe, it, expect } from 'bun:test';
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import {
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fixedRiskPositionSize,
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kellyPositionSize,
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fractionalKellyPositionSize,
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volatilityTargetPositionSize,
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equalWeightPositionSize,
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atrBasedPositionSize,
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expectancyPositionSize,
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monteCarloPositionSize,
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sharpeOptimizedPositionSize,
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fixedFractionalPositionSize,
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volatilityAdjustedPositionSize,
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correlationAdjustedPositionSize,
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calculatePortfolioHeat,
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dynamicPositionSize,
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liquidityConstrainedPositionSize,
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multiTimeframePositionSize,
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riskParityPositionSize,
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validatePositionSize,
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type PositionSizeParams,
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type KellyParams,
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type VolatilityParams
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} from '../../src/calculations/position-sizing';
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describe('Position Sizing Calculations', () => {
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describe('fixedRiskPositionSize', () => {
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it('should calculate correct position size for long position', () => {
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const params: PositionSizeParams = {
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accountSize: 100000,
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riskPercentage: 2,
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entryPrice: 100,
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stopLoss: 95,
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leverage: 1
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};
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const result = fixedRiskPositionSize(params);
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// Risk amount: 100000 * 0.02 = 2000
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// Risk per share: 100 - 95 = 5
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// Position size: 2000 / 5 = 400 shares
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expect(result).toBe(400);
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});
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it('should calculate correct position size for short position', () => {
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const params: PositionSizeParams = {
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accountSize: 100000,
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riskPercentage: 2,
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entryPrice: 100,
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stopLoss: 105,
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leverage: 1
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};
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const result = fixedRiskPositionSize(params);
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// Risk per share: |100 - 105| = 5
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// Position size: 2000 / 5 = 400 shares
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expect(result).toBe(400);
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});
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it('should return 0 for invalid inputs', () => {
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const params: PositionSizeParams = {
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accountSize: 0,
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riskPercentage: 2,
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entryPrice: 100,
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stopLoss: 95
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};
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expect(fixedRiskPositionSize(params)).toBe(0);
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});
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it('should return 0 when entry price equals stop loss', () => {
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const params: PositionSizeParams = {
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accountSize: 100000,
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riskPercentage: 2,
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entryPrice: 100,
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stopLoss: 100
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};
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expect(fixedRiskPositionSize(params)).toBe(0);
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});
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});
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describe('kellyPositionSize', () => {
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it('should calculate correct Kelly position size', () => {
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const params: KellyParams = {
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winRate: 0.6,
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averageWin: 150,
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averageLoss: -100
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};
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const result = kellyPositionSize(params, 100000);
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// Kelly formula: f = (bp - q) / b
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// b = 150/100 = 1.5, p = 0.6, q = 0.4
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// f = (1.5 * 0.6 - 0.4) / 1.5 = (0.9 - 0.4) / 1.5 = 0.5 / 1.5 = 0.333
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// With safety factor of 0.25: 0.333 * 0.25 = 0.083
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// Capped at 0.25, so result should be 0.083
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// Position: 100000 * 0.083 = 8300
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expect(result).toBeCloseTo(8333, 0);
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});
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it('should return 0 for negative expectancy', () => {
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const params: KellyParams = {
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winRate: 0.3,
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averageWin: 100,
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averageLoss: -200
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};
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const result = kellyPositionSize(params, 100000);
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expect(result).toBe(0);
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});
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it('should return 0 for invalid inputs', () => {
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const params: KellyParams = {
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winRate: 0,
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averageWin: 100,
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averageLoss: -100
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};
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expect(kellyPositionSize(params, 100000)).toBe(0);
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});
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});
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describe('volatilityTargetPositionSize', () => {
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it('should calculate correct volatility-targeted position size', () => {
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const params: VolatilityParams = {
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price: 100,
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volatility: 0.20,
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targetVolatility: 0.10,
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lookbackDays: 30
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};
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const result = volatilityTargetPositionSize(params, 100000);
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// Volatility ratio: 0.10 / 0.20 = 0.5
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// Position value: 100000 * 0.5 = 50000
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// Position size: 50000 / 100 = 500 shares
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expect(result).toBe(500);
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});
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it('should cap leverage at 2x', () => {
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const params: VolatilityParams = {
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price: 100,
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volatility: 0.05,
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targetVolatility: 0.20,
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lookbackDays: 30
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};
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const result = volatilityTargetPositionSize(params, 100000);
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// Volatility ratio would be 4, but capped at 2
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// Position value: 100000 * 2 = 200000
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// Position size: 200000 / 100 = 2000 shares
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expect(result).toBe(2000);
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});
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});
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describe('equalWeightPositionSize', () => {
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it('should calculate equal weight position size', () => {
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const result = equalWeightPositionSize(100000, 5, 100);
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// Position value per asset: 100000 / 5 = 20000
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// Position size: 20000 / 100 = 200 shares
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expect(result).toBe(200);
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});
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it('should return 0 for invalid inputs', () => {
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expect(equalWeightPositionSize(100000, 0, 100)).toBe(0);
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expect(equalWeightPositionSize(100000, 5, 0)).toBe(0);
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});
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});
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describe('atrBasedPositionSize', () => {
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it('should calculate ATR-based position size', () => {
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const result = atrBasedPositionSize(100000, 2, 5, 2, 100);
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// Risk amount: 100000 * 0.02 = 2000
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// Stop distance: 5 * 2 = 10
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// Position size: 2000 / 10 = 200 shares
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expect(result).toBe(200);
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});
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it('should return 0 for zero ATR', () => {
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const result = atrBasedPositionSize(100000, 2, 0, 2, 100);
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expect(result).toBe(0);
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});
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});
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describe('expectancyPositionSize', () => {
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it('should calculate expectancy-based position size', () => {
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const result = expectancyPositionSize(100000, 0.6, 150, -100, 5);
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// Expectancy: 0.6 * 150 - 0.4 * 100 = 90 - 40 = 50
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// Expectancy ratio: 50 / 100 = 0.5
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// Risk percentage: min(0.5 * 0.5, 5) = min(0.25, 5) = 0.25
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// Position: 100000 * 0.0025 = 250
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expect(result).toBe(250);
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});
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it('should return 0 for negative expectancy', () => {
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const result = expectancyPositionSize(100000, 0.3, 100, -200);
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expect(result).toBe(0);
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});
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});
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describe('correlationAdjustedPositionSize', () => {
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it('should adjust position size based on correlation', () => {
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const existingPositions = [
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{ size: 1000, correlation: 0.5 },
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{ size: 500, correlation: 0.3 }
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];
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const result = correlationAdjustedPositionSize(1000, existingPositions, 0.5);
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// Should reduce position size based on correlation risk
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expect(result).toBeLessThan(1000);
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expect(result).toBeGreaterThan(0);
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});
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it('should return original size when no existing positions', () => {
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const result = correlationAdjustedPositionSize(1000, [], 0.5);
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expect(result).toBe(1000);
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});
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});
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describe('calculatePortfolioHeat', () => {
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it('should calculate portfolio heat correctly', () => {
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const positions = [
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{ value: 10000, risk: 500 },
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{ value: 15000, risk: 750 },
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{ value: 20000, risk: 1000 }
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];
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const result = calculatePortfolioHeat(positions, 100000);
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// Total risk: 500 + 750 + 1000 = 2250
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// Heat: (2250 / 100000) * 100 = 2.25%
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expect(result).toBe(2.25);
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});
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it('should handle empty positions array', () => {
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const result = calculatePortfolioHeat([], 100000);
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expect(result).toBe(0);
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});
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it('should cap heat at 100%', () => {
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const positions = [
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{ value: 50000, risk: 150000 }
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];
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const result = calculatePortfolioHeat(positions, 100000);
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expect(result).toBe(100);
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});
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});
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describe('dynamicPositionSize', () => {
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it('should adjust position size based on market conditions', () => {
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const result = dynamicPositionSize(1000, 0.25, 0.15, 0.05, 0.10);
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// Volatility adjustment: 0.15 / 0.25 = 0.6
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// Drawdown adjustment: 1 - (0.05 / 0.10) = 0.5
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// Adjusted size: 1000 * 0.6 * 0.5 = 300
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expect(result).toBe(300);
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});
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it('should handle high drawdown', () => {
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const result = dynamicPositionSize(1000, 0.20, 0.15, 0.15, 0.10);
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// Should significantly reduce position size due to high drawdown
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expect(result).toBeLessThan(500);
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});
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});
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describe('liquidityConstrainedPositionSize', () => {
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it('should constrain position size based on liquidity', () => {
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const result = liquidityConstrainedPositionSize(1000, 10000, 0.05, 100);
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// Max shares: 10000 * 0.05 = 500
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// Should return min(1000, 500) = 500
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expect(result).toBe(500);
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});
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it('should return desired size when liquidity allows', () => {
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const result = liquidityConstrainedPositionSize(500, 20000, 0.05, 100);
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// Max shares: 20000 * 0.05 = 1000
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// Should return min(500, 1000) = 500
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expect(result).toBe(500);
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});
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});
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describe('multiTimeframePositionSize', () => {
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it('should weight signals correctly', () => {
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const result = multiTimeframePositionSize(100000, 0.8, 0.6, 0.4, 2);
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// Weighted signal: 0.8 * 0.2 + 0.6 * 0.3 + 0.4 * 0.5 = 0.16 + 0.18 + 0.2 = 0.54
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// Adjusted risk: 2 * 0.54 = 1.08%
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// Position: 100000 * 0.0108 = 1080
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expect(result).toBe(1080);
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});
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it('should clamp signals to valid range', () => {
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const result = multiTimeframePositionSize(100000, 2, -2, 1.5, 2);
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// Signals should be clamped to [-1, 1]
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// Weighted: 1 * 0.2 + (-1) * 0.3 + 1 * 0.5 = 0.2 - 0.3 + 0.5 = 0.4
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// Adjusted risk: 2 * 0.4 = 0.8%
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expect(result).toBe(800);
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});
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});
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describe('riskParityPositionSize', () => {
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it('should allocate based on inverse volatility', () => {
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const assets = [
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{ volatility: 0.10, price: 100 },
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{ volatility: 0.20, price: 200 }
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];
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const result = riskParityPositionSize(assets, 0.15, 100000);
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// Asset 1: 1/0.10 = 10, Asset 2: 1/0.20 = 5
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// Total inverse vol: 15
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// Weights: Asset 1: 10/15 = 0.667, Asset 2: 5/15 = 0.333
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expect(result).toHaveLength(2);
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expect(result[0]).toBeGreaterThan(result[1]);
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});
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it('should handle zero volatility assets', () => {
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const assets = [
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{ volatility: 0, price: 100 },
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{ volatility: 0.20, price: 200 }
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];
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const result = riskParityPositionSize(assets, 0.15, 100000);
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expect(result[0]).toBe(0);
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expect(result[1]).toBeGreaterThan(0);
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});
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});
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describe('validatePositionSize', () => {
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it('should validate position size against limits', () => {
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const result = validatePositionSize(500, 100, 100000, 10, 2);
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// Position value: 500 * 100 = 50000 (50% of account)
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// This exceeds 10% limit
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expect(result.isValid).toBe(false);
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expect(result.violations).toContain('Position exceeds maximum 10% of account');
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expect(result.adjustedSize).toBe(100); // 10000 / 100
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});
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it('should pass validation for reasonable position', () => {
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const result = validatePositionSize(50, 100, 100000, 10, 2);
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// Position value: 50 * 100 = 5000 (5% of account)
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expect(result.isValid).toBe(true);
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expect(result.violations).toHaveLength(0);
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expect(result.adjustedSize).toBe(50);
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});
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it('should handle fractional shares', () => {
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const result = validatePositionSize(0.5, 100, 100000, 10, 2);
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expect(result.isValid).toBe(false);
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expect(result.violations).toContain('Position size too small (less than 1 share)');
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expect(result.adjustedSize).toBe(0);
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});
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});
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});
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80
libs/utils/test/dateUtils.test.ts
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80
libs/utils/test/dateUtils.test.ts
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import { describe, it, expect } from 'bun:test';
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import { dateUtils } from '../src/dateUtils';
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describe('dateUtils', () => {
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describe('isTradingDay', () => {
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it('should return true for weekdays (Monday-Friday)', () => {
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// Monday (June 2, 2025)
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expect(dateUtils.isTradingDay(new Date(2025, 5, 2))).toBe(true);
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// Tuesday (June 3, 2025)
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expect(dateUtils.isTradingDay(new Date(2025, 5, 3))).toBe(true);
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// Wednesday (June 4, 2025)
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expect(dateUtils.isTradingDay(new Date(2025, 5, 4))).toBe(true);
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// Thursday (June 5, 2025)
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expect(dateUtils.isTradingDay(new Date(2025, 5, 5))).toBe(true);
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// Friday (June 6, 2025)
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expect(dateUtils.isTradingDay(new Date(2025, 5, 6))).toBe(true);
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});
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it('should return false for weekends (Saturday-Sunday)', () => {
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// Saturday (June 7, 2025)
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expect(dateUtils.isTradingDay(new Date(2025, 5, 7))).toBe(false);
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// Sunday (June 8, 2025)
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expect(dateUtils.isTradingDay(new Date(2025, 5, 8))).toBe(false);
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});
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});
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describe('getNextTradingDay', () => {
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it('should return the next day when current day is a weekday and next day is a weekday', () => {
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// Monday -> Tuesday
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const monday = new Date(2025, 5, 2);
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const tuesday = new Date(2025, 5, 3);
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expect(dateUtils.getNextTradingDay(monday).toDateString()).toBe(tuesday.toDateString());
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});
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it('should skip weekends when getting next trading day', () => {
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// Friday -> Monday
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const friday = new Date(2025, 5, 6);
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const monday = new Date(2025, 5, 9);
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expect(dateUtils.getNextTradingDay(friday).toDateString()).toBe(monday.toDateString());
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});
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it('should handle weekends as input correctly', () => {
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// Saturday -> Monday
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const saturday = new Date(2025, 5, 7);
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const monday = new Date(2025, 5, 9);
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expect(dateUtils.getNextTradingDay(saturday).toDateString()).toBe(monday.toDateString());
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// Sunday -> Monday
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const sunday = new Date(2025, 5, 8);
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expect(dateUtils.getNextTradingDay(sunday).toDateString()).toBe(monday.toDateString());
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});
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});
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describe('getPreviousTradingDay', () => {
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it('should return the previous day when current day is a weekday and previous day is a weekday', () => {
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// Tuesday -> Monday
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const tuesday = new Date(2025, 5, 3);
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const monday = new Date(2025, 5, 2);
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expect(dateUtils.getPreviousTradingDay(tuesday).toDateString()).toBe(monday.toDateString());
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});
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it('should skip weekends when getting previous trading day', () => {
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// Monday -> Friday
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const monday = new Date(2025, 5, 9);
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const friday = new Date(2025, 5, 6);
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expect(dateUtils.getPreviousTradingDay(monday).toDateString()).toBe(friday.toDateString());
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});
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it('should handle weekends as input correctly', () => {
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// Saturday -> Friday
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const saturday = new Date(2025, 5, 7);
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const friday = new Date(2025, 5, 6);
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expect(dateUtils.getPreviousTradingDay(saturday).toDateString()).toBe(friday.toDateString());
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// Sunday -> Friday
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const sunday = new Date(2025, 5, 8);
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expect(dateUtils.getPreviousTradingDay(sunday).toDateString()).toBe(friday.toDateString());
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});
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});
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});
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19
libs/utils/test/simple-test.ts
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19
libs/utils/test/simple-test.ts
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import { fixedRiskPositionSize } from '../src/calculations/position-sizing.js';
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try {
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console.log('Testing position sizing calculations...');
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const result = fixedRiskPositionSize({
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accountSize: 100000,
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riskPercentage: 2,
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entryPrice: 100,
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stopLoss: 95
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});
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console.log('Fixed risk position size result:', result);
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console.log('Expected: 400 shares');
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console.log('Test passed:', result === 400);
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} catch (error) {
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console.error('Error:', error);
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}
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138
libs/utils/test/validation.ts
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138
libs/utils/test/validation.ts
Normal file
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/**
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* Validation script for position sizing calculations
|
||||
*/
|
||||
import {
|
||||
fixedRiskPositionSize,
|
||||
kellyPositionSize,
|
||||
volatilityTargetPositionSize,
|
||||
equalWeightPositionSize,
|
||||
atrBasedPositionSize,
|
||||
expectancyPositionSize,
|
||||
calculatePortfolioHeat,
|
||||
validatePositionSize
|
||||
} from '../src/calculations/position-sizing.js';
|
||||
|
||||
console.log('=== Position Sizing Calculation Validation ===\n');
|
||||
|
||||
// Test 1: Fixed Risk Position Sizing
|
||||
console.log('1. Fixed Risk Position Sizing');
|
||||
const fixedRiskResult = fixedRiskPositionSize({
|
||||
accountSize: 100000,
|
||||
riskPercentage: 2,
|
||||
entryPrice: 100,
|
||||
stopLoss: 95,
|
||||
leverage: 1
|
||||
});
|
||||
console.log(` Account: $100,000, Risk: 2%, Entry: $100, Stop: $95`);
|
||||
console.log(` Result: ${fixedRiskResult} shares`);
|
||||
console.log(` Expected: 400 shares (Risk: $2,000 ÷ $5 risk per share = 400)`);
|
||||
console.log(` ✓ ${fixedRiskResult === 400 ? 'PASS' : 'FAIL'}\n`);
|
||||
|
||||
// Test 2: Kelly Criterion
|
||||
console.log('2. Kelly Criterion Position Sizing');
|
||||
const kellyResult = kellyPositionSize({
|
||||
winRate: 0.6,
|
||||
averageWin: 150,
|
||||
averageLoss: -100
|
||||
}, 100000);
|
||||
console.log(` Win Rate: 60%, Avg Win: $150, Avg Loss: $100`);
|
||||
console.log(` Result: $${kellyResult.toFixed(0)}`);
|
||||
console.log(` Kelly formula with safety factor applied`);
|
||||
console.log(` ✓ ${kellyResult > 0 && kellyResult < 25000 ? 'PASS' : 'FAIL'}\n`);
|
||||
|
||||
// Test 3: Volatility Target Position Sizing
|
||||
console.log('3. Volatility Target Position Sizing');
|
||||
const volResult = volatilityTargetPositionSize({
|
||||
price: 100,
|
||||
volatility: 0.20,
|
||||
targetVolatility: 0.10,
|
||||
lookbackDays: 30
|
||||
}, 100000);
|
||||
console.log(` Price: $100, Asset Vol: 20%, Target Vol: 10%`);
|
||||
console.log(` Result: ${volResult} shares`);
|
||||
console.log(` Expected: 500 shares (Vol ratio 0.5 * $100k = $50k ÷ $100 = 500)`);
|
||||
console.log(` ✓ ${volResult === 500 ? 'PASS' : 'FAIL'}\n`);
|
||||
|
||||
// Test 4: Equal Weight Position Sizing
|
||||
console.log('4. Equal Weight Position Sizing');
|
||||
const equalResult = equalWeightPositionSize(100000, 5, 100);
|
||||
console.log(` Account: $100,000, Positions: 5, Price: $100`);
|
||||
console.log(` Result: ${equalResult} shares`);
|
||||
console.log(` Expected: 200 shares ($100k ÷ 5 = $20k ÷ $100 = 200)`);
|
||||
console.log(` ✓ ${equalResult === 200 ? 'PASS' : 'FAIL'}\n`);
|
||||
|
||||
// Test 5: ATR-Based Position Sizing
|
||||
console.log('5. ATR-Based Position Sizing');
|
||||
const atrResult = atrBasedPositionSize(100000, 2, 5, 2, 100);
|
||||
console.log(` Account: $100,000, Risk: 2%, ATR: $5, Multiplier: 2`);
|
||||
console.log(` Result: ${atrResult} shares`);
|
||||
console.log(` Expected: 200 shares (Risk: $2k ÷ Stop: $10 = 200)`);
|
||||
console.log(` ✓ ${atrResult === 200 ? 'PASS' : 'FAIL'}\n`);
|
||||
|
||||
// Test 6: Expectancy Position Sizing
|
||||
console.log('6. Expectancy Position Sizing');
|
||||
const expectancyResult = expectancyPositionSize(100000, 0.6, 150, -100, 5);
|
||||
console.log(` Win Rate: 60%, Avg Win: $150, Avg Loss: $100`);
|
||||
console.log(` Result: $${expectancyResult.toFixed(0)}`);
|
||||
console.log(` Expectancy: 0.6*150 - 0.4*100 = 50 (positive expectancy)`);
|
||||
console.log(` ✓ ${expectancyResult > 0 ? 'PASS' : 'FAIL'}\n`);
|
||||
|
||||
// Test 7: Portfolio Heat Calculation
|
||||
console.log('7. Portfolio Heat Calculation');
|
||||
const heatResult = calculatePortfolioHeat([
|
||||
{ value: 10000, risk: 500 },
|
||||
{ value: 15000, risk: 750 },
|
||||
{ value: 20000, risk: 1000 }
|
||||
], 100000);
|
||||
console.log(` Positions with risks: $500, $750, $1000`);
|
||||
console.log(` Result: ${heatResult}%`);
|
||||
console.log(` Expected: 2.25% (Total risk: $2250 ÷ $100k = 2.25%)`);
|
||||
console.log(` ✓ ${heatResult === 2.25 ? 'PASS' : 'FAIL'}\n`);
|
||||
|
||||
// Test 8: Position Size Validation
|
||||
console.log('8. Position Size Validation');
|
||||
const validationResult = validatePositionSize(50, 100, 100000, 10, 2);
|
||||
console.log(` Position: 50 shares @ $100, Account: $100k, Max: 10%`);
|
||||
console.log(` Result: ${validationResult.isValid ? 'Valid' : 'Invalid'}`);
|
||||
console.log(` Position value: $5,000 (5% of account - within 10% limit)`);
|
||||
console.log(` ✓ ${validationResult.isValid ? 'PASS' : 'FAIL'}\n`);
|
||||
|
||||
// Test edge cases
|
||||
console.log('=== Edge Case Testing ===\n');
|
||||
|
||||
// Zero/negative inputs
|
||||
console.log('9. Zero/Negative Input Handling');
|
||||
const zeroResult = fixedRiskPositionSize({
|
||||
accountSize: 0,
|
||||
riskPercentage: 2,
|
||||
entryPrice: 100,
|
||||
stopLoss: 95
|
||||
});
|
||||
console.log(` Zero account size result: ${zeroResult}`);
|
||||
console.log(` ✓ ${zeroResult === 0 ? 'PASS' : 'FAIL'}`);
|
||||
|
||||
const equalStopResult = fixedRiskPositionSize({
|
||||
accountSize: 100000,
|
||||
riskPercentage: 2,
|
||||
entryPrice: 100,
|
||||
stopLoss: 100
|
||||
});
|
||||
console.log(` Equal entry/stop result: ${equalStopResult}`);
|
||||
console.log(` ✓ ${equalStopResult === 0 ? 'PASS' : 'FAIL'}\n`);
|
||||
|
||||
// Negative expectancy Kelly
|
||||
console.log('10. Negative Expectancy Kelly');
|
||||
const negativeKellyResult = kellyPositionSize({
|
||||
winRate: 0.3,
|
||||
averageWin: 100,
|
||||
averageLoss: -200
|
||||
}, 100000);
|
||||
console.log(` Win Rate: 30%, Avg Win: $100, Avg Loss: $200`);
|
||||
console.log(` Result: $${negativeKellyResult}`);
|
||||
console.log(` Expected: $0 (negative expectancy)`);
|
||||
console.log(` ✓ ${negativeKellyResult === 0 ? 'PASS' : 'FAIL'}\n`);
|
||||
|
||||
console.log('=== Validation Complete ===');
|
||||
console.log('All position sizing calculations have been validated!');
|
||||
console.log('The functions now include proper input validation, edge case handling,');
|
||||
console.log('and mathematically correct implementations.');
|
||||
Loading…
Add table
Add a link
Reference in a new issue