--%>

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 : Cost of capital 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

  • Q : Define Initial public offering or IPO

    Initial public offering: An initial public offering (IPO) otherwise called as stock market launch, is the first time company selling stock to public. Usually raised for capital expansion and to become publicly traded company. Investment banking firms

  • 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 raising new capital AB

    AB Corporation has 3 million shares of common stock selling at $19 each. It also contains $25 million in bonds with coupon rate of 8%, selling at par. AB requires $10 million in new capital that it can raise by selling stock at $18, or bonds at 9% interest. The expect

  • Q : Determining Profitable purchasing ABC

    ABC Corporation is interested in purchasing a machine which will cost $50,000, and it will depreciate it on the straight-line basis over a 5-year period. The machine is predicted to last for 7 years and then Milan will sell it for $5,000. The expected earnings before

  • Q : Is cash flow is a flow of cash to

    The often known as "cash flow" that is net income plus depreciation, is a flow of cash, but is this a flow to the company or to the shareholders?

  • Q : Explain merits and demerits of standard

    Explain merits and demerits of standard market practice to find the volatility as a function of underlying.

  • Q : Financial engineering financial

    financial engineering examples,benifits,disadvantages

  • Q : DCF Analysis AB Corp. is in the

    AB Corp. is in the business of making white-board markers. They are computing the potential of investing in some new equipment that will enhance their manufacturing process.  The initial cost of the latest machinery is $470,000 plus a one-time installation cost o

  • Q : Calculate their after tax cost of debt

    Your Corp, Inc. has a corporate tax rate of 35%. Please calculate their after tax cost of debt expressed as a percentage. Your Corp, Inc. has several outstanding bond issues all of whichrequire semiannual interest payments. Bond A has a coupon rate of 4.0%; a price qu