--%>
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 : Problem on Bank branch networks While

    While banks across the United States and Europe are cutting down their number of branches, the number of bank branches in Hong Kong has increased in the same period. Hong Kong Monetary Authority statistics show the number of bank branches in Hong Kong at the end of 20

    		•
  • Q : Which method must use to valuate young

    Which method must we use to valuate young companies along with high growth but uncertain futures? Two illustrations were Boston Chicken and Telepizza while they began.

    		•
  • Q : Zero coupon bonds problem Shana wants

    Shana wants to purchase 5-year zero coupon bonds with a face value of $1,000. Her opportunity cost is 8.5 %. Supposing annual compounding, what would be the present market price of such bonds? (Round to the closest dollar.) (a) $1,023  (b) $665  (c) $890&nbs

    		•
  • Q : How companies accuse investors make

    Sometimes, companies accuse investors of performing credit sales which they make their quotations fall. Is it true?

    		•
  • Q : Continuously compounded rate of return

    Solve for the stated annual rate, r equal to the continuously compounded rate of return implicit in turning $1 at the end of 1925 (beginning of 1926) into these reported valued from RWJ9 in 2008 Figure below: 1. Determine the state

    		•
  • Q : Types of Corporate Bonds What are the

    What are the various types of Corporate Bonds?

    		•
  • Q : Explain deducing yield curve model

    Explain deducing yield curve model of HJM.

    		•
  • Q : Explain Butterfly Spread Strategies

    Butterfly Spread Strategies: In this strategy, there is no limit on the number of options that can be combined to form the butterfly spread. This strategy essentially combines both the bear spread and the bull spread. In this case, options with three

    		•
  • Q : Profitability Ratios Profitability

    Profitability Ratios: These ratios comprise the Gross profit Margin, Net profit Margin, Operating Margin, Return on Equity (ROE), and Return on Total Assets. Such ratios help the firm to examine its profitability, the trend in profits and aid to take

    		•
  • Q : What is real gross domestic product

    Real gross domestic product: If GDP of a particular year is estimated or evaluated on the basis of the base year prices it is termed as real gross domestic product.

    		•