I develop, critically assess, and apply theories of pricing derivatives. Topics: forward and futures contracts; interest rate and currency swaps; trading strategies; early exercise of American options; binomial option pricing; the Black-Scholes-Merton option pricing model; extensions of the BSM model; risk management with options; empirical evidence and time-varying volatility; the pricing and hedging of corporate securities (common stock, senior and junior bonds, callable bonds, warrants, convertible bonds, and putable bonds) and credit risk. I emphasize the application of the theory to the management of risk. I make every effort to bring out the intuition behind the results.