Question: Use the data in the table below to calculate the Black-Scholes-Merton prices of the 22.50, JAN call given that there are 112 days till the
Use the data in the table below to calculate the Black-Scholes-Merton prices of the 22.50, JAN call given that there are 112 days till the JAN expiration, the VOL, = 25%, and the annual risk-free rate with continuous compounding is 5%. In your calculation, use the interpolation in order to calculate N(d1) and N(d2).
| S | K | Calls | Puts | ||||
| NOV | DEC | JAN | NOV | DEC | JAN | ||
| 25 | 20 | - | - | 7.30 | .10 | - | .55 |
| 25 | 22.50 | 3.20 | 3.40 | - | .60 | - | 1.25 |
| 25 | 25 | 1.50 | - | 4.00 | 1.40 | 1.95 | 2.10 |
| 25 | 27.50 | .60 | .88 | - | 3.50 | - | 4.00 |
| 25 | 30 | .16 | .55 | .90 | 5.10 | 5.40 | 5.50 |
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