*1 need step by step explanation on how the answer in bold were gotten.* Conside
ID: 2635332 • Letter: #
Question
*1 need step by step explanation on how the answer in bold were gotten.* 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). Use this information to answer questions 1 through lo. 1. What is your profit if you buy a call, hold it to expiration and the stock price at expiration is $37? a. $700 b. -S289 c. $2,711 d. $411 e. none of the aboveExplanation / Answer
Stock Price= $30
Exercise Price= $30
Call Price= $2.89
Stock Price on the expiration date is $37, hence the call is exercised.
Payoff = ($37-$30) * 100 = $700
Call Premium Paid initially= $2.89 * 100= $289
Hence, Profit= $700- $289= $411
Thus, the answer is (d) $411.
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