12 Services from invest-math.x402tookit.com

Calculates the price range implied by volatility over a specified number of days, returning one and two standard deviation move bounds.

Calculates reward-to-risk ratio, break-even win rate, and expectancy for a trade given entry, stop-loss, and profit target prices.

Computes the expected return, volatility, and minimum-variance weight for a two-asset portfolio given each asset's return, volatility, and their correlation.

Calculates the financial-independence target (FIRE number) from annual spending and withdrawal rate, plus the estimated years to reach it given current savings and yearly contributions.

Calculates the number of units to buy, dollars at risk, position cost, and R-multiple profit targets from account size, risk percentage, entry price, and stop-loss price.

Computes performance statistics from a series of period returns: mean, volatility, Sharpe ratio, Sortino ratio, CAGR, max drawdown, win rate, and more.

Calculates the inflation-adjusted future cost of an amount and the real return after inflation for a given nominal return rate.

Calculates the margin call trigger price for shares bought on margin, given the number of shares, purchase price, cash invested, and maintenance margin requirement.

Calculates dividend yield, annual/monthly income, yield on cost, and projected cumulative dividends over time with optional dividend growth.

Calculates expiry profit/loss for a long or short call or put option, including break-even price, maximum gain, maximum loss, and a payoff table across price scenarios.

Compares dollar-cost averaging (equal periodic buys) against a single lump-sum investment on the first date, given a series of prices, returning returns, units acquired, and a verdict on which strategy won.

Calculates the gain needed to recover from a percentage loss, or computes maximum drawdown and required recovery gain from a series of period returns.