

3. Suppose that the risk-free interest rate is 6% per annum dividend yield on a stock...
Suppose that the risk-free interest rate is 8% per annum with continuous compounding and that the dividend yield on a stock index is 3% per annum with continuous compounding. The index is standing at 350 and the futures price for a contract deliverable in 6months is 360. #1) What should be the theoretical futures price for the stock index? #2) What arbitrage opportunities does this create? #1) theoretical futures price = $366.38 #1) theoretical futures price = $358.86 #1) theoretical...
A stock index currently stands at 500. The risk-free interest rate is 5 percent per annum (with continuous compounding) and the dividend yield is 3 percent per annum. What should the futures price for a 3-month contract be?
A stock is currently priced at $47.00 and pays a dividend yield of 3.7% per annum. The risk-free rate is 5.3% per annum with continuous compounding. In 18 months, the stock price will be either $40.89 or $52.64. Using the binomial tree model, compute the price of a 18 month European call with strike price $48.74.
A stock is currently priced at $51.00 and pays a dividend yield of 4.3% per annum. The risk-free rate is 5.7% per annum with continuous compounding. In 12 months, the stock price will be either $41.31 or $57.12. Using the binomial tree model, compute the price of a 12 month European call with strike price $50.32.
50.The oil price is currently $95 per barrel. The risk-free interest rate is 3% per annum, and the convenience yield of oil is 4% per annum. Consider an oil futures contract with a maturity of 6 months. Assuming the 6 months storage cost is equal to $1.50 per barrel, the no-arbitrage futures price is closest to: (a) 95.02 (b) 95.55 (c) 96.02 (d)96.55
Suppose HSU stock price is currently $50 per share. The stock pays no dividends. The futures price for a HSU contract deliverable in 4 months is $48 per share. The contract size is 200 shares. The interest rate is 3% per annum with continuous compounding. Assume that there are no transaction costs. (a) Is there an arbitrage opportunity for a trader? Explain with calculations. (8 marks) (b) Explain the details of the arbitrage transaction now and in 4 months respectively....
Consider a futures contract on an equity index. You have the following data. The equity index has an annualized, continuously compounded dividend yield of 2.46%. The futures contract expires in 7 months. The risk-free rate of interest with continuous compounding is 2.8% per annum. The spot market value of the index is 36.4. What is the no-arbitrage futures price of this equity index futures contract?
3. A stock is expected to pay a dividend of $1.25 per share in 3 months and also in 6 months. The stock price is $46 and the risk-free rate of interest is 6.5 % per annum with continuous compounding on all maturities. An investor has taken a short position in a six-month forward contract on the stock. What is the forward price?
6) Consider an option on a non-dividend paying stock when the stock price is $38, the exercise price is $40, the risk-free interest rate is 6% per annum, the volatility is 30% per annum, and the time to maturity is six months. Using Black-Scholes Model, calculating manually, a. What is the price of the option if it is a European call? b. What is the price of the option if it is a European put? c. Show that the put-call...
Exercise 3. A short forward contract on a dividend-paying stock was entered some time ago. It currently has 9 months to maturity. The stock price and the delivery price is s25 and $24 respectively. The risk-free interest rate with continuous compounding is 8% per annum. The underlying stock is expected to pay a dividend of $2 per share in 2 months and an another dividend of $2 in 6 months. (a) What is the (initial) value of this forward contract?...