--%>
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 : Discounting Free Cash Flow or

    Which of these two ways is better: discounting the Free Cash Flow or discounting the Equity Cash Flow?

    		•
  • Q : Selling or purchasing problem Atlas

    Atlas Realty Company is interested in buying a house and renting it out for $12,000 a year, collecting the rent in advance each year. This will depreciate the house over 25 years; however sell it after 15 years at twice its purchase price. The maintenance expenditures

    		•
  • Q : Explain investment of bank for

    When my company is not listed, therefore the investment banks apply an illiquidity premium. In fact, they say this is an illiquidity premium but then they call this a small cap premium. Only one of the banks, apparently based upon Tit

    		•
  • Q : Problems under Time Value of Money One

    One of the projects the US loan would fund is to build earthquake-resistant buildings. The projectwill begin in March 2013, last for two years and is expected to have the following expenditures:start-up costs of $200,000 paid at the beginning of the first month; renta

    		•
  • Q : Who was the first to quantify the idea

    Who was the first to quantify the idea of Brownian motion?

    		•
  • Q : In which cases use different WACCs Is

    Is this possible to use different WACCs within order to discount each year’s flows? In which cases?

    		•
  • Q : Which capital structure must consider

    Which capital structure must we consider when estimating the WACC for a subsidiary valuation: the one which is reasonable according to the risk of the subsidiary’s business that the average of the company or the one the subsidiary as “tolerates/per

    		•
  • Q : Calculate valuation realized by

    Is a valuation realized through a prestigious investment bank a scientifically approved result that any investor could utilize as a reference?

    		•
  • 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 : Real estate problem Eric Rowan is

    Eric Rowan is planning to buy a house for $155,000 by borrowing money at the rate of 9%. He expects to rent the house for 5 years, collecting $20,000 annual rent in advance each year. He thinks that he can sell the house for $175,000 after five years. Fulton has incom

    		•