--%>
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 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 : Who proposed modern quantitative

    Who proposed a modern quantitative methodology for portfolio selection?

    		•
  • Q : Determine weighting of shares done and

    When computing the WACC, is the weighting of the shares done and the debt with book values of debt and shareholder’s equity or along with market values?

    		•
  • Q : Explain Value Chain Value Chain : The

    Value Chain: The value chain is a theory from business management that was first described and popularized Michel Porter in his 1985 best seller, Competitive Advantage: Creating and Sustaining Superior Performance.

  • Q : Explain usual value of the sales of net

    Does the usual value of the sales and of the net income of Spanish companies have anything to do along with sustainable growth?

    		•
  • Q : Abnormal profits based on fundamental

    If it is possible to make abnormal profits based on fundamental analysis, you can conclude that the market is: A) Not weak-form efficientB) Weak-form efficientC) Not semi-strong-form efficientD) Semi-strong-form e

    		•
  • 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 : Problem on exponential growth rate

    Atlanta Company stock is predicted to follow an exponential growth rate. The relationship among the current stock price P0, future price PT after time T, and continuously compounded rate of the return r, is: PT = P0eγT. The stock doesn’t pay any

    		•
  • Q : Regarding WACC Regarding the WACC which

    Regarding the WACC which has to be applied to a project, must it be an expected return, the average historical return or an opportunity cost on similar projects?

    		•
  • Q : Define the term Commercial Paper

    Commercial Paper: It is an unsecured obligation issued by the corporation or bank to finance its short-term credit requirements, like accounts inventory and receivable. Maturities usually range from 2 to 270 days. The commercial paper is accessible in

    		•