Question
The following financial instruments are available: A stock with a current price of $50. A zero-coupon bond which pays $60 in one year. The continuously-compounded
The following financial instruments are available:
- A stock with a current price of $50.
- A zero-coupon bond which pays $60 in one year. The continuously-compounded discount rate is 5% and the price of the zero-coupon bond today is $57.07.
- A European call option on the stock with a maturity of one year and an exercise price of $60. The price of the call option today is $1.
- A European put option on the stock with a maturity of one year and an exercise price of $60. The price of the put option today is $7.
If you want to exploit a risk-free arbitrage opportunity using these instruments, which strategy would you use? What would be the risk-free profit of that strategy today?
CHOICES:
Strategy: Buy the stock and the put, sell the call and the bond. Profit: $1.07
Strategy: Buy the stock and the call, sell the put and the bond. Profit: $13.07
Strategy: Sell the stock and the put, buy the call and the bond. Profit: $1.07
Strategy: Sell the stock and the bond, buy the call and the put. Profit: $99.07
These instruments do not offer a risk-free arbitrage opportunity
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