
Explanation:
The Black-Scholes-Merton formula for pricing a European put option is given by:
Since no dividend yield is mentioned, we assume . We are given:
Now substituting the values into the formula:
The price of the put option is closest to USD 3.12.
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Q.26 A trader at an investment bank was requested to value non-standardized options on stocks of RNK Construction using the Black-Scholes-Merton model. Stocks are currently trading at USD 120 per share on the market, and the risk-free rate is 5%. The options contract has the following features:
| Option type | European Put |
|---|---|
| Strike price | USD 100 |
| Expiration | 1 year |
The trader calculates the following parameters for the model: ; and . The price of the option is closest to:
A
USD 2.88
B
USD 3.01
C
USD 3.12
D
USD 3.47
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