
Explanation:
Check put-call parity:
Since , the combination put + stock is overpriced relative to call + bond.
Arbitrage: sell the expensive side and buy the cheap side.
Initial arbitrage profit:
So the trade collects about $0.82 today, with no risk and no net future profit/loss at maturity.
Correct answer: C ($0.82).
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Q-181.4. The price of a non-dividend-paying stock is $20.00. The price of a one-year European call option on the stock with a strike price of $21.00 is $4.00. The price of a one-year European put option on the stock with a strike price of $21.00 is $5.00. The risk-free rate is 4.0%. What is the future net profit collected by the arbitrage trade, assuming no transaction costs?
A
Zero
B
$0.42
C
$0.82
D
$0.86