Consider a six-month forward contract on a non-dividend paying stock. Assume the current stock price is...
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.
Homework Answers
Forward price is spot price * exp ^rt = $ 30*exp ^ (12%*0.5) = $ 30* 1.061837 = $31.8551
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Consider a six-month forward contract on a non-dividend paying stock. Assume the current stock price is...
Suppose that you enter into a six-month forward contract on a non-dividend-paying stock when the stock...
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 long forward contract to purchase a non-dividend-paying stock in 3 months. Assume the current...
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)
1. A 1 year long forward contract an a non-dividend paying stock is entered into when...
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?
Consider a forward contract to purchase a non-dividend-paying stock in 6 months. Assume the current stock...
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.
A one-year long forward contract on a non-dividend-paying stock is entered into when the stock price...
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 six-month European call option on a non-dividend-paying stock is currently selling for $6. The stock...
A six-month European call option on a non-dividend-paying stock is currently selling for $6. The stock price is$64, the strike price is S60. The risk-free interest rate is 12% per annum for all maturities. what opportunities are there for an arbitrageur? (2 points) 1. a. What should be the minimum price of the call option? Does an arbitrage opportunity exist? b. How would you form an arbitrage? What is the arbitrage profit at Time 0? Complete the following table. c....
On 8/15/2019, a 3-year forward contract, expiring 8/15/2022, on a non-dividend-paying stock was entered into when...
On 8/15/2019, a 3-year forward contract, expiring 8/15/2022, on a non-dividend-paying stock was entered into when the stock price was $50 and the risk-free interest rate was 10.5% per annum with continuous compounding. 1 year later, on 8/15/2020, the stock price becomes $57. What is the "delivery" price of the forward contract entered into on 8/15/2019?
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. T...
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?...
- On 8/15/2019, a 3-year forward contract, expiring 8/15/2022, on a non-dividend-paying stock was entered into...
- On 8/15/2019, a 3-year forward contract, expiring 8/15/2022, on a non-dividend-paying stock was entered into when the stock price was $55 and the risk-free interest rate was 10.8% per annum with continuous compounding. 1 year later, on 8/15/2020, the stock price becomes $58. What is the "delivery" price of the forward contract entered into on 8/15/2019? Round your answer to the nearest 2 decimal points. For example, if your answer is $12.345, then enter "12.35" in the answer box....
A 2-month European put option on a non-dividend paying stock is currently selling for $2. The...
A 2-month European put option on a non-dividend paying stock is currently selling for $2. The stock price is $47, the strike price is $50, and the risk-free rate is 6% per year (with continuous compounding) for all maturities. Does this create any arbitrage opportunity? Why? Design a strategy to take advantage of this opportunity and specify the profit you make.
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?
A six-month European call option on a non-dividend-paying stock is currently selling for $6. The stock price is$64, the strike price is S60. The risk-free interest rate is 12% per annum for all maturities. what opportunities are there for an arbitrageur? (2 points) 1. a. What should be the minimum price of the call option? Does an arbitrage opportunity exist? b. How would you form an arbitrage? What is the arbitrage profit at Time 0? Complete the following table. c....
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?...
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