--%>
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 : Is there any optimal capital structure

    Is there any optimal capital structure?

    		•
  • Q : How can optimal capital structure be

    How can optimal capital structure be calculated?

    		•
  • 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 : Is net income of a year is doubtful for

    Is the net income of a year money the company made that given year or is this a number whose importance is quite doubtful?

    		•
  • Q : How must we compute the beta and the

    How must we compute the beta and the risk premium?

    		•
  • 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 : What is Stock Market Stock Market : To

    Stock Market: To trade company shares (or stock) and derivatives, a stock market or equity market is public entity where these shares and derivatives are sold at agreed price. These are to be listed on a stock exchange in order to trade publicly.

    		•
  • Q : All rates are stated annually with

    1 Assume the following (all rates are stated annually with semiannual compounding) a. Six Month Spot Rate is 2% b. Six Month Forward rate starting at month six is 2.2% c. Six Month Forward rate starting at month 12 is 2.4% d. Six Month Forward rate starting at mont

    		•
  • Q : Is Capital Cash Flow identical with

    Is Capital Cash Flow identical with Free Cash Flow?

    		•
  • Q : Which parameter good measures value

    Which parameter good measures value creation; the Economic Value Added (EVA), the CVA (Cash Value Added) or the economic profit?

    		•