An investor executed an arbitrage trade three month ago by selling a protective put and buying a fiduciary call. At expiration, the stock price was below the same strike price of the call and put options involved in the trade.
At expiration, to close out all positions, the investor will:
A receive a bond payoff, buy stock via the call option, and deliver the stock to settle a short stock position.
B receive a bond payoff, buy stock via the put option, and deliver the stock to settle a short stock position.
C sell stock via the call option, and then take proceeds from stock sale to pay off the risk-free loan.
D sell stock via the put option, and then take proceeds from stock sale to pay off the risk-free loan.
An investor executed an arbitrage trade three month ago by selling a protective put and buying a fiduciary call. At expiration, the stock price was below the same strike price of the call and put options involved in the trade.
At expiration, to close out all positions, the investor will:
A | receive a bond payoff, buy stock via the call option, and deliver the stock to settle a short stock position. |
B | receive a bond payoff, buy stock via the put option, and deliver the stock to settle a short stock position. |
C | sell stock via the call option, and then take proceeds from stock sale to pay off the risk-free loan. |
D | sell stock via the put option, and then take proceeds from stock sale to pay off the risk-free loan. |
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Related questions
A European call option has a strike price of $20 and an expiration date in six months. The premium for the call option is $5. The current stock price is $25. The risk-free rate is 2% per annum with continuous compounding. What is the payoff to the portfolio, short selling the stock, lending $19.80 and buying a call option? (Hint: fill in the table below.)
Value of ST | Payoff |
ST ⤠20 | |
ST > 20 |
How much do you pay for (or receive with) this portfolio at date 0?
Is there an arbitrage opportunity?
If there is an arbitrage opportunity, then answer the following:
What is the minimum profit, expressed as a present value?
Will investors trade to exploit the opportunity?
If they will trade to exploit the opportunity, explain why security prices change and describe how security prices change.
Consider a single-stock futures contract on Wal-Mart common stock. Assume that no dividends will be paid until after the expiration of the futures contract. Consider the following scenario:
Continuously compounded, annualized risk-free interest rate: r = 5%.
Current spot price of Wal-Mart stock: $65 per share.
Futures price on Wal-Mart single-stock futures: $65 per share.
Contract expiration: T = 0.25 year.
Does a risk-free arbitrage opportunity exist? If so, what is the basic strategy?
a.) No arbitrage opportunity exists at the moment. |
b.) | Yes. Buy Wal-Mart stock, invest at the risk-free rate, and enter a long position in Wal-Mart single-stock futures. |
c.) | Yes. Take a loan at the risk-free rate, buy Wal-Mart stock, and enter a short position in Wal-Mart single-stock futures. |
d.) | Yes. Sell Wal-Mart stock short, invest the proceeds at the risk-free rate, and enter a long position in Wal-Mart single-stock futures. |
e.) | Yes. Take a loan at the risk-free rate, sell Wal-Mart stock short, and enter a short position in Wal-Mart single-stock futures. |