Put-Call Parity Verification

Problem

Given a European call option with the following parameters, compute the corresponding European put option price using Put-Call Parity.

• C = 10.4506 — European call option price
• S = 100.0 — current spot price of the underlying
• K = 100.0 — strike price
• T = 1.0 — time to expiry (in years)
• r = 0.05 — continuously compounded risk-free interest rate

Put-Call Parity states:

$C - P = S - K e^{-rT}$

Rearranging, the put price is:

$P = C - S + K e^{-rT}$

What is the put option price?

Enter your answer as a decimal rounded to 4 decimal places.