Question

In: Finance

Consider a stock that pays no dividends and currently sells for S0. The forward on this...

Consider a stock that pays no dividends and currently sells for S0. The forward on this stock for date-T delivery has the forward price F0 that is greater than S0erT . Suppose that short selling for this stock is NOT allowed in the market. For the forward, we can either long or short. Here, we can make an arbitrage Is this true or false?

Solutions

Expert Solution

True. We can borrow money to buy the stock today at S0. We will have to pay back S0exp(rt) at the end of the period. We will also go short on the forward and hence sell the stock later at a price greater than S0exp(rt) hence we will make a profit in this way


Related Solutions

A stock currently sells for $80, and it will pay no dividends in the future. Consider...
A stock currently sells for $80, and it will pay no dividends in the future. Consider a 2-year forward contract on this stock. The forward price is $90. The risk-free rate is 3% per annum. Is there an arbitrage? If so, show the arbitrage strategy using a table listing asset positions and cash flows.
A stock currently trades at $50. It pays dividends at a rate of 2%, and the...
A stock currently trades at $50. It pays dividends at a rate of 2%, and the risk-free rate is also 2%. A 3-month call option with a strike price of $50 is trading at $2. Calculate the implied volatility of the underlying stock. Calculate the volatility of the call option. (No Excel work. Please show step by step with formula)
Suppose ABC stock pays no dividends and has a current price of $50. The forward price...
Suppose ABC stock pays no dividends and has a current price of $50. The forward price for delivery in 1 year is $55. Suppose the 1-year effective annual interest rate is 10%. (a) Graph the payoff and profit diagrams for the one year forward contract. (b) Is there any advantage to investing in the stock or the forward contract? Why? (c) Suppose ABC paid a dividend of $2 per year and everything else stayed the same. Now is there any...
Assume a stock currently pays no dividends today, but expected to begin paying dividends $6 per...
Assume a stock currently pays no dividends today, but expected to begin paying dividends $6 per share in 4 years. The dividends are expected to have a constant growth rate of 6% at that time and firm has a cost of equity of 11.4%. Using the dividend discount model, what do you estimate the share price should be?  
Assume a stock currently pays no dividends today, but expected to begin paying dividends $8 per...
Assume a stock currently pays no dividends today, but expected to begin paying dividends $8 per share in 3 years. The dividends are expected to have a constant growth rate of 7% at that time and firm has a cost of equity of 11.6%. Using the dividend discount model, what do you estimate the share price should be?
Moutainbrook Company stock is is currently trading at $44 per share. The stock pays no dividends....
Moutainbrook Company stock is is currently trading at $44 per share. The stock pays no dividends. The standard deviation of the returns on the stock is 55%. The continuously compounded interest rate is 6% per year. A three-year European call option on Mountainbrook stock has a strike price of $50 per share. Using the Black-Scholes-Merton model, find the premium per share to four decimal places.
(a)       Consider a stock that pays annual dividends. It just paid $4.50 dividends per share, and...
(a)       Consider a stock that pays annual dividends. It just paid $4.50 dividends per share, and the next dividend will be paid in 1 year. The dividends are expected to remain constant at $4.50 per share for the next 10 years, after which the dividends are expected to decrease at a rate of 0.5% per year. The annual cost-of-capital is 15.50%. Find the fair value of the stock today. (b)       Consider the same stock as described in part (a), except...
(a) Consider a stock that pays annual dividends. It just paid $4.50 dividends per share, and...
(a) Consider a stock that pays annual dividends. It just paid $4.50 dividends per share, and the next dividend will be paid in 1 year. The dividends are expected to remain constant at $4.50 per share for the next 10 years, after which the dividends are expected to decrease at a rate of 0.5% per year. The annual cost-of-capital is 15.50%. Find the fair value of the stock today. (b) Consider the same stock as described in part (a), except...
(a)       Consider a stock that pays annual dividends. It just paid $4.50 dividends per share, and...
(a)       Consider a stock that pays annual dividends. It just paid $4.50 dividends per share, and the next dividend will be paid in 1 year. The dividends are expected to remain constant at $4.50 per share for the next 10 years, after which the dividends are expected to decrease at a rate of 0.5% per year. The annual cost-of-capital is 15.50%. Find the fair value of the stock today. (b)       Consider the same stock as described in part (a), except...
A stock is currently trading at 36$/share, has annual volatility of 17% and pays no dividends....
A stock is currently trading at 36$/share, has annual volatility of 17% and pays no dividends. The risk-free rate is 6% p.a. continuously compounded and an option trader writes a three-month call which is $4 out-of-the money. What should be the price of this call? What should be the price of this call as a percentage of the current stock price?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT