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Q-725.3 If a call option's value increases by $1.440 and the stock price does not change, by how much does the corresponding put option's value change? | Financial Risk Manager Part 1 Quiz - LeetQuiz

Explanation:

Using put-call parity,

p = c + K e^{-rT} - S

so the change in the put value is

\Delta p = \Delta c + \Delta(K e^{-rT}) - \Delta S

Because the stock price does not change, $\Delta S = 0$ . The call increases by $1.440, and the strike discount term changes by:

30e^{-0.03\times 1.0} - 30e^{-0.03\times 0.5} = -0.440

Therefore,

\Delta p = 1.440 - 0.440 = 1.00

So the put option value increases by +$1.00.

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