--%>

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 : Illustrates cost of its equity is zero

    Is this true that the cost of its equity is zero, if a company does not distribute dividends?

  • Q : Who were the creators of uncertain

    Who were the creators of uncertain volatility model?

  • Q : Problem on financial manager

    Assume that you are a financial manager of Yuen Cheong Manufacturng Company. Due to the rising demand of product X, Yuen Cheong Manufacturng Company decides to open a new production plant in China, so it needs to take a loan of US$1 million. Bank A offers Yuen Cheong

  • Q : Is there any optimal capital structure

    Is there any optimal capital structure?

  • Q : Effective annual yield problem Stanley

    Stanley invested in a municipal bond which promised an annual yield of 6.7 %. The bond pays coupons twice a year. What is the effective annual yield (abbreviated as EAY) on this investment? (1) 13.4%  (2) 6.81%  (3) 6.70%  (4) None of the above

  • Q : Explain value of shares is Is this

    Is this correct that the value of the shares is, the “value of the results’ capitalization” that, as per to the Institute of Accounting and Auditing (ICAC) shows “the sum of the expected future results of the company throughout a certain period

  • Q : Problem on HIBOR Below are the

    Below are the three-month HIBOR and three-year EFN futures (that is, Exchange Fund Note) prices for the September 2010 contracts.a) Find out the HIBOR in three-months for settling the future contract utilizing the quotation on August 16.

    Q : MIRR & IRR Projects Answer using

    Answer using Microsoft Word and your answer should be between 100 and 150 words Question1. Identify the major

  • Q : Define Effective Utilization of Funds

    Effective Utilization of Funds: It is just the decision to maximize the return on investment of funds. When finance manager is not capable to raise the return by investing fund in profitable assets or other profitable projects, company’s busines

  • 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