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According to put-call parity, the payoff of a European put option is equivalent to the payoff of a portfolio consisting of:
Explanation:
According to put-call parity, the payoff of a European put option can be replicated by a portfolio consisting of a short asset, a long call, and a long risk-free bond. This relationship is derived from the put-call parity formula:
P₀ = C₀ - S₀ + X / (1 + r)^T
where:
P₀
is the put option price,C₀
is the call option price,S₀
is the asset price,X
is the strike price,r
is the risk-free rate,T
is the time to maturity.Option B correctly reflects this relationship, while Options A and C do not align with the put-call parity formula.