Consider a forward contract to purchase a non-dividend-paying stock in 6 months. Assume the current stock price is $34 and the continuously compounded risk-free interest rate is 6.5% per annum.
a. Explain the arbitrage opportunities if the forward price is $37 in the market.
b. Explain the arbitrage opportunities if the forward price is $33 in the market.
Consider a forward contract to purchase a non-dividend-paying stock in 6 months. Assume the current stock...
Consider a long forward contract to purchase a non-dividend-paying stock in 3 months. Assume the current stock price is $40 and the risk-free interest rate is an APR of 5% compounded quarterly. If the market forward price is $43, show explicitly the arbitrage opportunity. note: this is not continuous compounding but discrete! so please do not use the Se^(rT) ( exponential formula)
Consider a six-month forward contract on a non-dividend paying stock. Assume the current stock price is $50 and the risk-free interest rate is 7.84% per annum with continuous compounding. Suppose the price of this six-month forward price is $53.50. Show that it creates an arbitrage opportunity? Write down the complete strategy for an arbitrageur --- you must list down all the actions that are required now and later and demonstrate how arbitrageur earns a risk-less profit.
1. A 1 year long forward contract an a non-dividend paying stock is entered into when the stock price is $39 and the risk-free rate of interest is 6.5% per annum with continuous compounding (a) What is the forward price? (b) Six months later; the price of the stock is $42.50 and the risk-free interest rate is still 6.5%. What is the forward price?
Suppose that you enter into a six-month forward contract on a non-dividend-paying stock when the stock price is $30 and the risk-free interest rate (with quarterly compounding) is 12% per annum. a) What is equivalent continuously compounding rate? b) What is the forward price?
Consider a forward contract to purchase a coupon-bearing bond whose current price is $900. Suppose the forward contract matures in 9 months. Assume the coupon payment of $40 is expected after 4 months. Assume that the 4-month and 9-month risk-free continuously compounded interest rate are 3% and 4% per annum, respectively. Suppose the forward price is $910. Is there an arbitrage opportunity? If so, how do you take advantage of the arbitrage opportunity?
Problem 2. Forward prices and value [25 marks] a) [5] Suppose there is a 16 months Forward on 1 share of non- dividend paying stock traded in the market. Current stock prices are $50 and the Forward price is $57. What is the interest rate (continuously compounded) implied by the given Forward price? b) [6] Suppose that actual interest rates are 7% per annum (continuously compounded as well). Find the Fair price of Forward contract and explain your arbitrage strategy....
(b) A 6-month European call option on a non-dividend paying stock is cur- rently selling for $3. The stock price is $50, the strike price is $55, and the risk-free interest rate is 6% per annum continuously compounded. The price for 6-months European put option with same strike, underlying and maturity is 82. What opportunities are there for an arbitrageur? Describe the strategy and compute the gain.
A one-year long forward contract on a non-dividend-paying stock is entered into when the stock price is $56 and the risk-free rate (with continuous compounding) is 8%.` (1) What are the forward price and the initial value of the forward contract? (2) Five months later, the price of the stock is $60 and the risk-free rate is still 8%. What are the forward price and the value of the forward contract?
A long forward on a non-dividend-paying stock has six months to maturity. The risk free rate is 10% annually, the current stock price is $25, and the delivery price is $24. What is the value of forward contract today?
A long forward on a non-dividend-paying stock has six months to maturity. The risk free rate is 10% annually, the current stock price is $25, and the delivery price is $24. What is the value of forward contract today?