--%>
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 : Zurich Pvt Ltd. You have joined Zurich

    You have joined Zurich Pvt. Ltd as a Finance manager. You are given the following information: Zurich Pvt Ltd. is a diversified manufacturing firm dealing with electrical appliances. In 2012, the firm reported an operating income of Rs. 857.60 million and faced a tax rate of 35% on income. The firm

    		•
  • Q : How could we acquire an indisputable

    How could we acquire an indisputable discount rate?

    		•
  • 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 : Tax benefits of lease FedEx would like

    FedEx would like to acquire 300 vans for its business. It can buy each van for $35,000, depreciate it completely over 5 years, and then sell it for $10,000. The tax rate of FedEx is 30%, and its cost of debt is 10%. Avis Fleet Rental will lease these vans to FedEx for

    		•
  • Q : Problem on car rental plans Ape Car

    Ape Car Rental plans to begin its business by buying 10 cars at the average price of $18,000 each, depreciating them entirely over 5 years utilizing the straight-line method. It will rent space in a parking lot for $300 a month, paying the rent in advance every month.

    		•
  • Q : Explain useful properties of

    Explain useful properties of low-discrepancy sequence theory or quasi random number theory.

    		•
  • Q : Public Finance which type of tax,

    which type of tax, direct or indirect is applicable in underdeveloped countries? Why? Show your critical areas and weaknesses.

    		•
  • 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 : Explain lognormal random walk based on

    Explain lognormal random walk based on Brownian motion.

    		•
  • 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?

    		•