--%>
Assignment Help - homework help

Problem on arbitrage opportunity

John Chan considers purchasing a six-month stock futures contract on the shares of Li & Fung Limited. Shares of Li & Fung Limited are now presently trading at $50 per share and it is predicted that Li & Fung Limited will pay a dividend of $1 per share in one and four months. The risk free interest rate is around 5% per annum with continuous compounding.

a) Compute the estimated price of the six-month Li & Fung Limited stock futures contract.

b) When the actual futures price of Li & Fung Limited shares is $50, is there any arbitrage opportunity? Outline the steps needed to do the arbitrage.

E

Expert

Verified

a) Based on the theoretical pricing model we get the following:-

Futures Price = Underlying stock price X (1+ annualized interest rate – dividend)
Underlying stock price is $ 50 per share . Rate of interest = 5% and dividend is $1 per share
$50 x ( 1+ .005 - $ 1 per share
$ 50 x ( 1.05-1)= $ 2.5
Futures price will be $ 50+$2.5= $ 52.5

b) The attempt to make a profit by exploiting the differences in identical stocks or any financial instruments is defined as arbitrage. In the above case the actual future price being $ 50 is the same as the current trading price and hence there is no arbitrage opportunity.

   Related Questions in Corporate Finance

  • Q : Explain accurately value bond options

    If the model could not even find bond prices right, how could this hope to accurately value bond options?

    		•
  • Q : Did you see Vueling case Did you notice

    Did you notice the Vueling case? How is this possible that an investment bank sets the objective price of its shares in €2.50 per share upon the 2nd of October, 2007, just after replacing Vueling shares at €31 per share in J

    		•
  • Q : Problem on annual lease payments Taurus

    Taurus Corporation needs a computer, which it can buy for $100,000. Taurus will depreciate the computer uniformly over its useful life of 5 years. An investment tax credit of 7% is also available, and the computer will have no residual value. Taurus plans to borrow th

    		•
  • Q : How form a portfolio with higher

    Does this make any sense to form a portfolio comprised of companies along with a higher return/dividend?

    		•
  • Q : NPV and Other Investment Criteria The

    The XYZ Manufacturing Company is considering the below investment proposal. The initial investment is $100,000. It was an expected economic life of 10 years. The net cash flow in the initial year is expected to be $25,000 and annual net cash flow is expected to develo

    		•
  • Q : Bond price problem ABC Corp is issuing

    ABC Corp is issuing a 10-year bond with a coupon rate of 7 %. The interest rate for similar bonds is at present 9 %. Supposing annual payments, what is the current value of the bond? (Round to the closest dollar.) (a) $872 (b) $1,066 (c) $990 (d) $945.

    Q : Compute a company's cost of capital in

    How can we compute a company's cost of capital in emerging nations, particularly when there is no state bond that we could take as a reference?

    		•
  • Q : Finance I need the answers for the

    I need the answers for the midterm exam for FIN6000

    		•
  • Q : Could we explain that goodwill is equal

    Could we explain that goodwill is equal to brand value?

    		•
  • Q : Problem on Bank branch networks While

    While banks across the United States and Europe are cutting down their number of branches, the number of bank branches in Hong Kong has increased in the same period. Hong Kong Monetary Authority statistics show the number of bank branches in Hong Kong at the end of 20

    		•