--%>

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 : Financial statements The concept of

    The concept of conservatism has been influential in the development of accounting theory and practice.  A major effect of conservatism is that accountants tend to recognize losses but not gains.  For example, when the value of an asset is impaired, it is wri

  • Q : Explain valuation method for

    We were assigned a valuation of a pharmaceutical laboratory’ shares. Which valuation method is further convenient?

  • Q : Provide three examples of mutually

    provide three examples of mutually exclusive projects?

  • Q : Define Economy Impacts Economy Impacts

    Economy Impacts: An upcoming economy is indicated by rise in stock market, as stock market is primary indicator of a economic strength of a country. Progressing economy results in market boom. Yield of companies’ increases on improving economy,

  • Q : What is Regular supply of working

    Regular supply of working capital: The working capital requirement (WCR) estimation helps to ensure that the supply of raw material, which is essential to production, is uninterrupted. Therefore, the firm will be able to get sufficient credits and fun

  • Q : What is the expected risk premium on

    You have decided to invest 30 percent in X; 30 percent in Y; and 40 percent in Z. Theprobability of the state of the economy is Boom 25%; Normal 60%; and, Bust 15%. The rateof return for stock X is Boom .20; Normal .15; and, Bust .00. The rate of return for stock Y is

  • Q : Explain the branching structure of the

    Explain the branching structure of the binomial model.

  • Q : Working Capital - Current Assets and

    I do not know the meaning of Working Capital Requirements. I think this should be same to Working Capital (Current Assets – Current Liabilities). There am I right?

  • Q : Corporate Earnings Analysis exercise

    Identify two comparable corporations.  Explain why you think they are comparable to your corporation. Earnings analysis:  Do an earnings analysis of your corporation.  Calculate and plot.

    Q : Which capital structure must consider

    Which capital structure must we consider when estimating the WACC for a subsidiary valuation: the one which is reasonable according to the risk of the subsidiary’s business that the average of the company or the one the subsidiary as “tolerates/per