B is correct. The calculation is:
put=KeβrTN(βd2β)βSN(βd1β)
Given:
- K = 20
- r = 4.25% = 0.0425
- T = 0.5
- S = 25
- N(-d_2) = 1 - 0.9651 = 0.0349
- N(-d_1) = 1 - 0.9737 = 0.0263
Step-by-step calculation:
- KeβrT=20Γeβ0.0425Γ0.5=20Γeβ0.02125β20Γ0.97896=19.5792β2
. $Ke^{-rT}N(-d_2) = 19.5792 \times 0.0349 \approx 0.6833β.SN(-d_1) = 25 \times 0.0263 = 0.6575$4. put=0.683β0.6575=0.0255β0.03
The put option value is approximately 0.03.