--%>
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 : Which taxes do I have to use for

    Which taxes do I have to utilize when calculating Free Cash Flow (FCF) – is this the medium tax rate or the marginal tax rate of the leveraged company?

    		•
  • Q : Financing EBIT problem Rusk Inc needs

    Rusk Inc needs $50 million in new capital that it might obtain by selling bonds at par with coupon of 12% or by selling stock at $40 (net) per share. The current capital structure of Rusk consists of $300 million (face value) of 10% coupon bonds selling at 90 and 10 m

    		•
  • Q : Problem on annual obligation payment

    ABC Corp. has a challenge: The CEO wants to set aside annual, end of year payments into a sinking fund account earning 5% over the next 6 years in order to retire $25 million in bonds that will be outstanding at that time. Determine the annual payment required each ye

    		•
  • Q : Bank assignment You have just been

    You have just been hired as the branch manager for a big bank in XYZ. You were told that the bank is going to open a new branch at Island Learning Centre of the Open University of XYZ. The management of the bank is much concerned that the new branch might not be able

    		•
  • Q : Relation between book value of shares

    Is the relation in between book value of shares or capitalization a good guide to investments?

    		•
  • Q : Tax credit for lease payments problem

    ABC Inc. is planning to lease a computer for $3000 per annum, payable in advance, for a period of 4 years. The lease will cover maintenance costs. ABC CFO feels that if he buys the same computer he should be able to sell it at 15% of the purchase price after 4 years.

    		•
  • Q : How could we acquire an indisputable

    How could we acquire an indisputable discount rate?

    		•
  • Q : Sinking Fund problem Berks Corporation

    Berks Corporation is expecting to have EBIT next year of $12 million, with a standard deviation of $6 million. Berks have $30 million in bonds with coupon of 10%, selling at par, which are being retired at the rate of $2 million annually. Berks also have 100,000 share

    		•
  • Q : FIN3000 Corporate Finance Task

    Task Description Length: 1000-2000 words (up to 500 words above 2000 permitted) Description: • Complete this assignment in groups of 4-5 students. • Maintain a portfolio of financial issues taken from 8 news sources. • Analyse the articles with reference to theory covered in class and h

    		•
  • 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

    		•