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Answer: Decreases by USD 0.94 | Increases by USD 0.01
The call option is deep in-the-money and must have a delta close to one. The put option is deep out-of-the-money and must have a delta close to zero. Therefore, when the underlying stock falls by USD 1, the value of the deep in-the-money call will decrease by close to USD 1, and the value of the deep out-of-the-money put will increase by an amount very close to zero. The choice that is closest to satisfying both conditions is C. **Key Concepts:** - **Delta**: Measures the sensitivity of an option's price to changes in the underlying asset price - **Deep in-the-money call**: Delta ≈ 1 (price moves almost 1:1 with stock) - **Deep out-of-the-money put**: Delta ≈ 0 (price barely changes with stock movement) - **Current scenario**: Stock at $80, strike at $50 → Call is $30 ITM, Put is $30 OTM
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The current stock price of a company is USD 80. A risk manager is monitoring a call option and a put option on the stock. Both options have an exercise price of USD 50 and a time to maturity of 5 days. Which of these scenarios is most likely to occur if the stock price falls by USD 1?
A
Decreases by USD 0.07 | Increases by USD 0.89
B
Decreases by USD 0.07 | Increases by USD 0.01
C
Decreases by USD 0.94 | Increases by USD 0.01
D
Decreases by USD 0.94 | Increases by USD 0.89