Master foundational physics, finance, calculus, and engineering equations with live evaluators, derivations, and worked examples.
Calculates accumulated future value A from principal P compounded n times per year at nominal annual interest rate r over t years.
Discounts a stream of n equal periodic cash flows PMT at periodic rate r to their lump-sum present value PV.
Nobel-winning partial differential equation closed-form solution for pricing European call and put options under geometric Brownian motion.
Links an asset's required expected return E(R_i) to the risk-free rate R_f, its non-diversifiable systematic beta β_i, and the equity market risk premium.
Blends a corporation's cost of equity R_e and after-tax cost of debt R_d(1 − T_c) weighted by market capital structure.
Decomposes Return on Equity (ROE) into three distinct operational drivers: profitability (Net Margin), capital efficiency (Asset Turnover), and financial leverage (Equity Multiplier).
Measures the net value added in today's dollars by discounting future project cash flows CF_t back to t = 0 at hurdle rate r and subtracting initial capex C₀.
Values a mature equity or terminal DCF cash flow stream growing perpetually at constant rate g < r.
Nobel laureate William Sharpe's reward-to-variability metric measuring portfolio excess return per unit of total volatility σ_p.
Bell Labs information-theoretic formula for the exact fraction of bankroll f* to allocate to a positive-expectancy wager or portfolio to maximize long-run compounding.