Question: Consider a stock priced at $30 with a standard deviation of 0.3. The risk-free rate is 0.05. There are put and call options available at
Consider a stock priced at $30 with a standard deviation of 0.3. The risk-free rate is 0.05. There are put and call options available at exercise prices of 30 and a time to expiration of six months. The calls are priced at $2.89 and the puts cost $2.15. There are no dividends on the stock and the options are European. Assume that all transactions consist of 100 shares or one contract (100 options).
- What is your profit if you buy a call, hold it to expiration and the stock price at expiration is $37?
a.$700
b.-$289
c.$2,711
d.$411
e.none of the above
2. Suppose the buyer of the call in problem 1 sold the call two months before expiration when the stock price was $33. How much profit would the buyer make?
a.$32.89
b.$30.11
c.$78.00
d.$11.00
e.none of the above
3. Suppose the investor constructed a covered call. At expiration the stock price is $27. What is the investor's profit?
a.$589
b.$289
c.$2,989
d.$2,711
e.none of the above
4. If the transaction described in problem 3 is closed out when the option has three months to go and the stock price is at $36, what is the investor's profit?
a.$600
b.$311
c.$889
d.$229
e.none of the above
How to calculate 2 and 4? Please show me the processes.
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