Derivatives Flashcards
(10 cards)
Forward payoff
Payoff = S(T) - K; gain if price > strike, loss if price < strike.
Call option payoff
Payoff = max(S(T) - K, 0); right to buy at strike.
Put option payoff
Payoff = max(K - S(T), 0); right to sell at strike.
Digital option payoff
Payoff = 1 if price in [a,b] at T; otherwise 0.
Chooser option payoff
Payoff = max(call, put) at T; you choose best payoff.
Put–Call Parity
C - P = F - D·K (forwards) or S₀ - D·K (no dividends).
Binomial replication
Find Δ and cash by matching payoffs in up/down states.
Risk-neutral pricing
Price = e^{-rT}(q_u·payoff_up + q_d·payoff_down) using risk-neutral q.
Monte Carlo pricing
Take average of many simulated discounted payoffs.
Black–Scholes
Benchmark of continuous state
models