Hello,
I was working through Example 4.1 and I decided to verify the given numbers. For some reason, I was not able to verify Delta for the digital put. I went and derived the corresponding formulas for a digital put under the Black-Scholes model. I hope these are accurate:
price = e^{-rt} (1-N(d_2))
Delta = -e^{-rt} N'(d_2) / (S sigma sqrt(t))
Gamma = e^{-rt} N'(d_2) d_1 / (S^2 sigma^2 t)
Vega = exp{-rt} N'(d_2) d_1 / sigma.
In any case, I plugged the numbers in and got, for option A,
price = 0.310
Delta = -0.037901
Gamma = 0.002
Vega = 1.886
The discrepancy in Delta seems too big to be merely rounding, or what have you. If anyone out there could be kind enough to help me resolve this I would be much obliged. Thanks!
