Answer: 0.63

## Explanation For a call option on a stock paying continuous dividends, the delta is given by: \[ \Delta_{call} = e^{-qT} \cdot N(d_1) \] Where: - \( q \) = continuous dividend yield = 1% = 0.01 - \( T \) = time to maturity = 2 years - \( N(d_1) \) = 0.64 Substituting the values: \[ \Delta_{call} = e^{-0.01 \times 2} \times 0.64 \] \[ \Delta_{call} = e^{-0.02} \times 0.64 \] \[ \Delta_{call} = 0.9802 \times 0.64 \] \[ \Delta_{call} = 0.6273 \approx 0.63 \] Therefore, the correct delta is approximately 0.63. **Key Points:** - The delta of a call option is not simply \( N(d_1) \) when there are dividends - The dividend yield reduces the delta by the factor \( e^{-qT} \) - Without dividends, delta would be 0.64, but with 1% dividend yield over 2 years, it's reduced to 0.63

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