--%>
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 : How present value of tax shields be

    I have two valuations of the company that we set as an objective. Within one of them, the present value of tax shields (D Kd T) computed using Ku (required return to unlevered equity) and, in one, by using Kd (required return to debt). The second valuation is too high

    		•
  • Q : Problem on exponential growth rate

    Atlanta Company stock is predicted to follow an exponential growth rate. The relationship among the current stock price P0, future price PT after time T, and continuously compounded rate of the return r, is: PT = P0eγT. The stock doesn’t pay any

    		•
  • Q : Does the equity of shareholders have

    Does the equity of shareholders represents the savings a company has accumulated by the years?

    		•
  • Q : What is the sales of the firm The

    The financial ratios of a firm are as follows. Current ratio = 1.33 Acid-test ratio = 0.80 Current liabilities = 40,000 Inventory turnover ratio = 6  What is the sales of the firm?

    		•
  • Q : Difference between capitalization and

    Is the difference for the value creation in a company among the market value of the shares (capitalization) and their book value a good measure since its foundation?

    		•
  • Q : Problem on optimal capital structure

    XYZ Company has debt/assets ratio 50%, that is too high and it must be at 45% to be optimal. This debt reduction must also reduce the bankruptcy costs by $30 million. At present, XYZ has 5 million shares of common stock selling at $50 each. The tax rate of XYZ is 30%.

    		•
  • Q : How much confidence can an investor

    I heard conversation of the Earnings Yield Gap ratio, that is the difference among the inverse of the PER and the TIR on 10-year-bonds. This is said that if this ratio is positive then this is more advantageous to invest in equity. How much confidence can an investor

    		•
  • Q : Problem on price share and stock

    Brittney and Kim Wan Sun have successfully launched a successful talent agency, ABC. They expect the firm’s earnings and dividends to grow by 20% annually for the next 10 years and they establish a strong base and to grow at a constant 5% per year thereafter. AB

    		•
  • Q : Is it correct to use valuation of

    Is this correct to use in the valuation of the shares of a certain company the “the real net assets value” which, as per to the Institute of Accounting and Auditing (ICAC), shows the “book value of shareholder’s equity, corrected through increa

    		•
  • Q : Provide three examples of mutually

    provide three examples of mutually exclusive projects?

    		•