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 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). Suppose the investor constructed a covered call. At expiration the stock price is $27. What is the investor's profit

Answer 1

-$11

Step-by-step explanation:

Covered Call involves Buy stocks and Sell call options

Earning $2.89 by selling call. So, at stock price of $27, the payoff from options is $2.89 per option

Options Profits = $2.89 * 100

Options Profits = $289

Profit of stock = ($27 - $30) * 100

Profit of stock = -$300

Investor Net Profit = Profit of stock + Options Profits

Investor Net Profit = -$300 + $289

Investor Net Profit = -$11