--%>
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 lognormal random walk based on

    Explain lognormal random walk based on Brownian motion.

    		•
  • 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 : Calculating Beta when market

    A company with a market capitalization of $100 million has no debt and a beta of 0.8. What will its beta be after it borrows $50 million (giving that there are no other changes and no taxes)?

    		•
  • Q : Problem on leveraged beta AB

    AB Restaurants has debt/equity ratio .25, and its leveraged beta is 1.5. Its tax rate is 30%, and its cost of equity is 15%. The risk-free rate is 5%. CD Restaurants has debt/equity ratio .4, and tax rate 35%. Find the cost of equity for CD.

    		•
  • Q : State Transition Management Transition

    Transition Management: It is a financial service accessible to institutional investors who require making significant modifications to their portfolios, like merging, selling, or substantially restructuring them. This procedure can expose investors to

    		•
  • Q : Financial statements The concept of

    The concept of conservatism has been influential in the development of accounting theory and practice.  A major effect of conservatism is that accountants tend to recognize losses but not gains.  For example, when the value of an asset is impaired, it is wri

    		•
  • Q : Evaluating Beta of a Corporation

    Baldwin Corporation is planning to expand into the business of providing on-demand movies. Baldwin has debt-to-equity ratio of .25, its pretax cost of debt is 9%, and its marginal tax rate is 40%. The Harrington Corporation is already in the on-demand movie business,

    		•
  • Q : Problem on price share and stock

    Brittney and Kim Wan Sun have successfully launched a successful talent agency, ABC. They expect the firm’s earnings and dividends to grow by 20% annually for the next 10 years and they establish a strong base and to grow at a constant 5% per year thereafter. AB

    		•
  • Q : Commercial bank problems For an

    For an enhanced understanding of banking industry, it is significant to look at the atmosphere in which commercial banks operate. Production growth and globalization are two main forces reshaping the banking industry nowadays. The following two questions are associate

    		•
  • Q : Explain modern quantitative

    Explain modern quantitative methodology for portfolio selection.

    		•