--%>
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 deducing yield curve model

    Explain deducing yield curve model of HJM.

    		•
  • 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 : Real estate problem Eric Rowan is

    Eric Rowan is planning to buy a house for $155,000 by borrowing money at the rate of 9%. He expects to rent the house for 5 years, collecting $20,000 annual rent in advance each year. He thinks that he can sell the house for $175,000 after five years. Fulton has incom

    		•
  • Q : Illustrates reserves are real money or

    The part of the net income which is not distributed to shareholders goes to reserves (to shareholders’ equity). As dividends shows real money, reserves are real money as well. Is it true?

    		•
  • Q : Explain company creates value for its

    Is this true that a company creates value for its shareholders in a year when this distributes dividends or when the quotation of the shares increases?

    		•
  • Q : Probability of dividend Universal

    Universal Corporation has the following dividend policy: if the earnings after taxes are less than $1 million, the dividend payout ratio will be 35%, but if these earnings are over $1 million, the dividend payout ratio will be 45%. The EBIT of Universal for next year

    		•
  • Q : Does the book value of the debt

    Does the book value of the debt all the time coincide with its market value?

    		•
  • Q : Explain exotic option-value of option

    Explain exotic option’s value of option pricing method.

    		•
  • Q : Explain Value Chain Value Chain : The

    Value Chain: The value chain is a theory from business management that was first described and popularized Michel Porter in his 1985 best seller, Competitive Advantage: Creating and Sustaining Superior Performance.

  • Q : Problem on annual obligation payment

    ABC Corp. has a challenge: The CEO wants to set aside annual, end of year payments into a sinking fund account earning 5% over the next 6 years in order to retire $25 million in bonds that will be outstanding at that time. Determine the annual payment required each ye

    		•