Rankin Corp. common stock is priced at $74.20 per share. The company just paid its $1.10 quarterly dividend. Interest rates are 6.0%. A $70.00 strike European call, maturing in 6 months, sells for $6.50. How much arbitrage profit/loss is made by shorting the European call, which is priced at $2.50?

The answer is $0.12 gain

Explanation:

We will be obtaining the no-arbitrage premium of the corresponding put as dictated by put-call parity, as follows: V P (0, K = 70, T = 0.5) = V C (K = 70, T = 0.5) + e rt K S(0) + P V 0,T (Dividends)

= 6.50 + exponential (0.03 70 74.20) + e (0.06 0.25 1.10) + e (0.06 0.5 1.10)

= 67.70 + 0.97 70 + 0.98 1.10 + 0.97 1.10

= 67.70 + 68.97 + 1.08 = 2.38.

Since we have decided to short the call at a premium higher by $0.12, the answer is $0.12 gain.

Thank you.

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