--%>
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 : Calculate valuation realized by

    Is a valuation realized through a prestigious investment bank a scientifically approved result that any investor could utilize as a reference?

    		•
  • Q : Problem on HIBOR Below are the

    Below are the three-month HIBOR and three-year EFN futures (that is, Exchange Fund Note) prices for the September 2010 contracts.a) Find out the HIBOR in three-months for settling the future contract utilizing the quotation on August 16.

    Q : Efficiency Ratios Efficiency Ratios :

    Efficiency Ratios: These ratios comprise Receivables Turnover, Inventory Turnover, Asset Turnover and Net Working Capital Turnover ratios. Efficiency ratios show the utilization of Assets of the company thus as to generate Revenue that is, the best ut

    		•
  • Q : Who proposed modern quantitative

    Who proposed a modern quantitative methodology for portfolio selection?

    		•
  • Q : Determine the future value What would

    What would the future value after 5 years of $100 be at 10% compound interest?

    		•
  • Q : APR of Loan When you take out an $8,000

    When you take out an $8,000 car loan that calls for 48 monthly payments of $225 each, then what is the APR of loan?

    		•
  • Q : Sinking Fund problem Berks Corporation

    Berks Corporation is expecting to have EBIT next year of $12 million, with a standard deviation of $6 million. Berks have $30 million in bonds with coupon of 10%, selling at par, which are being retired at the rate of $2 million annually. Berks also have 100,000 share

    		•
  • Q : What is the value of stock Brushy

    Brushy Mountain Mining Company's ore reserves are being depleted, so its sales are falling. Also, its pit is getting deeper each year, so its costs are rising. As a result, the company's earnings and dividends are declining at the constant rate of 5% per year. I

    		•
  • Q : Explain the definition of WACC An

    An investment bank computed my WACC. The report is as: “the definition of the WACC is defined as WACC = RF + βu (RM – RF); here RF being the risk-free rate and βu the unleveraged beta and RM the market risk rate.” It is differ from what we

    		•
  • Q : Which model was great breakthrough for

    Which one model was great breakthrough for side of finance theory?

    		•