--%>
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 : What is the value of stock Brushy

    Brushy Mountain Mining Company's ore reserves are being depleted, so its sales are falling. Also, its pit is getting deeper each year, so its costs are rising. As a result, the company's earnings and dividends are declining at the constant rate of 5% per year. I

    		•
  • Q : Explain the definition of WACC An

    An investment bank computed my WACC. The report is as: “the definition of the WACC is defined as WACC = RF + βu (RM – RF); here RF being the risk-free rate and βu the unleveraged beta and RM the market risk rate.” It is differ from what we

    		•
  • Q : Define stock variable Stock variable :

    Stock variable: It is a variable whose value is measured or evaluated at a point of time.

    		•
  • 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 : 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 : What is the sales of the firm The

    The financial ratios of a firm are as follows. Current ratio = 1.33 Acid-test ratio = 0.80 Current liabilities = 40,000 Inventory turnover ratio = 6  What is the sales of the firm?

    		•
  • Q : Problem on binomial option pricing model

    The share price of Cheung Kong (Holdings) Limited is currently at $100. Over each of the next two three-month periods, you expect its price will either increase by 10% or fall by 10% in each three-month period. If the Hong Kong interbank offered rate is 8% per annum w

    		•
  • 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 : Problem on annual mortgage payment You

    You just took out a variable-rate mortgage on your new home. The mortgage value is $100,000, the term is 30 years, and initially the interest rate is 8%. The interest rate is fixed for 5 years, after which the time rate will be adjusted according to the prevailing rat

    		•
  • Q : Who proposed modern quantitative

    Who proposed a modern quantitative methodology for portfolio selection?

    		•