--%>
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 : Explain the working of breakthrough for

    Explain the working of breakthrough in low-discrepancy sequences used for option valuation.

    		•
  • 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 : Variance of a portfolio The variance of

    The variance of a portfolio of 40 stocks will be the addition of _______ variance terms and _______ covariance terms. A) 40; 1560B) 40; 1600C) 80; 40D) 1600; 40

    		•
  • Q : Market for Corporate Bonds Write some

    Write some point regarding Market for Corporate Bonds.

    		•
  • Q : How could we project exchange rates How

    How could we project exchange rates within order to be capable to forecast exchange differences?

    		•
  • Q : Problem on stock market John Wong is a

    John Wong is a fresh graduate and has a limited amount of funds for investments. He expects that the Hong Kong stock market will fall soon but he is not familiar with derivatives. In order to gain more money to buy a car, he explores engaging in Hang Seng Index (HSI)

    		•
  • Q : How could we acquire an indisputable

    How could we acquire an indisputable discount rate?

    		•
  • Q : Is it correct to use valuation of

    Is this correct to use in the valuation of the shares of a certain company the “the real net assets value” which, as per to the Institute of Accounting and Auditing (ICAC), shows the “book value of shareholder’s equity, corrected through increa

    		•
  • 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 : Yield to maturity problem Jenny is

    Jenny is looking to invest in some 5-year bonds which pay annual coupons of 6.25 % and are presently selling at $912.34. What is the present market yield on these bonds? (Round to the closest Answer.) (1) 9.5%  (2) 8.5%  (3) 6.5%  (4) 7.5%