--%>
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 : Expected return for a portfolio What is

    What is the expected return for a portfolio consisting of 200 shares of Nike, 200 shares of Home Depot, and 400 shares of Intel if their expected returns are 10%, 8% and 12% respectively, and their current prices are $25, $50, and $25 per share respec

    		•
  • Q : What is nonlinearity in option pricing

    What is nonlinearity in option pricing model?

    		•
  • Q : Structure of Interest rates Which

    Which determines the shape of the term structure of Interest rates?

    		•
  • Q : Problem regarding purchasing machine

    Alger Corp needs to buy some construction equipment for $50,000 that has a helpful life of 4 years with no salvage value. The Alger utilizes straight-line depreciation. Alger contains a tax rate of 30%, and it employs a discount rate of 10%. The equipment will produce

    		•
  • Q : What are Workpapers Workpapers : In

    Workpapers: In finance world, work papers are documents which are created during the procedure of computing the financial records of a business or individual. The accounting professional which is tasked with examining the book-keeping of a business mi

    		•
  • Q : Shall we use the arithmetic mean or the

    The market risk premium is the difference between the historical return on the stock market and the return on bonds. But how many years does “historical” imply? Shall we use the arithmetic mean or the geometric one?

    		•
  • Q : What are Stock exchanges Stock

    Stock exchanges: A stock exchange provides services useful for trading, issue and redemption of shares and other securities for traders and brokers. They will also provide facility for payment of income and dividends for listed securities. Securities

    		•
  • Q : Define the term Commercial Paper

    Commercial Paper: It is an unsecured obligation issued by the corporation or bank to finance its short-term credit requirements, like accounts inventory and receivable. Maturities usually range from 2 to 270 days. The commercial paper is accessible in

    		•
  • Q : Who explain match theoretical & market

    Who demonstrated that how to match theoretical and market prices for normal bonds?

    		•
  • Q : Weighted return and simple return to

    What is the difference between weighted return and simple return to shareholders?

    		•