Calls Puts Strike Close Price Expiration Vol Last Vol Hendreek:s Last 100 100 10

Question

Calls Puts Strike Close Price Expiration Vol Last Vol Hendreek:s Last 100 100 100 Feb Mar Apr Jul 72 41 16 5.20 8.40 10.68 103 50 2.40 103 29 4.90 10 10.10 103 6.60 100 103 14.30 Suppose you buy 50 February 100 put option contracts. 1. What is your maximum gain? On the expiration date, Hendreeks is selling for $87.45 per share. How much is your options investment worth? What is your net gain? 2. A call option is currently selling for $5.30. It has a strike price of S60 and six months to maturity. A put option with the same strike price sells for $7.80. The risk-free rate is 4.3 percent, and the stock will pay a dividend of $2.80 in three months. What is the current stock price? 3. Suppose you buy one SPX call option contract with a strike of 1,300. At maturity, the S&P; 500 Index is at 1,321. What is your net gain or loss if the premium you paid was S14?

Explanation / Answer

1.

Option worth=50*max(100-87.45)=627.5

Net gain=627.5-50*last price of 100 put

The image is not clear w.r.t. last price of 100 put

2.

S+P-De^(-rt)=C+Xe^(-rt)

S=C+Xe^(-rt)-P+De^(-rt)

=>S=5.3+60e^(-4.3%*3/12)-7.8+2.8e^(-4.3%*3/12)

=>S=59.63

3.

Payoff=max(S-X,0)=max(1321-1300)=21

Profit=Payoff-Premium=21-14=7

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