The delta of a call option with continuous dividend yield is calculated as:
Delta=e−qTN(d1)
Given:
- N(d₁) = 0.64
- q = 1% = 0.01
- T = 2 years
Calculation:
Delta=0.64×e−0.01×2=0.64×e−0.02=0.64×0.9802≈0.63
The dividend yield reduces the delta of the call option because dividends decrease the expected future price of the underlying asset.