Question: This is a problem that has THREE questions. Therefore, please choose THREE answers (one choice for each question) to get full credit for this questions,
This is a problem that has THREE questions. Therefore, please choose THREE answers (one choice for each question) to get full credit for this questions, otherwise you will only get partial points.
Consider a forward contract on a non-dividend-paying stock in 4 months. Assume the current stock price is $60 and the 4-month risk free interest rate is 7% per annum (with continuous compounding). Suppose that the current forward price is $65.
1) What should the (theoretical) forward price that leads to no-arbitrage opportunity?
2) With current forward price, what arbitrage opportunities does this create?
3) How much of arbitrage profit is realized?
| 1) F* = $63.21 | ||
| 1) F* = $61.42 | ||
| 1) F* = $65.98 | ||
| 1) F* = $69.77 | ||
| 2) long forward contract, and buy the stock now | ||
| 2) long forward contract, and short sell the stock now | ||
| 2) short forward contract, and short sell the stock now | ||
| 2) short forward contract, and buy the stock now | ||
| 3) arbitrage profit = $1.78 | ||
| 3) arbitrage profit = $0.88 | ||
| 3) arbitrage profit = $3.58 | ||
| 3) arbitrage profit = $4.68 |
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