Put-call parity

PrepNuggets

An equation that expresses the parity of a portfolio of a call option and a bond with a portfolio of a put option and the underlying. This equation helps explain the relationship between put and call prices.

Derived from the relationship: Protective put = Fiduciary call

S0 + p0 = c0 + X/(1+rf)T

S0: Long underlying at its spot price

p0: Long put option

c0: Long call option

X/(1+rf)T: Lend $X at risk-free rate (X: strike price)