--%>
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 : Bond Price Information What is Bond

    What is Bond Price Information: Answer: Corporate bond market is not considered to be much transparent as it trades predominantly over the counter and investors do n

    		•
  • Q : Finance You expect KT industries (KTI)

    You expect KT industries (KTI) will have earnings per share of $3 this year and expect that they will pay out $1.50 of these earnings to shareholders in the form of a dividend. KTI's return on new investments is 15% and their equity cost of capital is 12%. The value of a share of KTI's stock is clos

    		•
  • Q : Standard deviation of portfolios returns

    Assume that you have $50,000 which you want to invest in two companies, XYZ Books and ABC Audio. XYZ has a return of 10% and standard deviation 15%, while ABC has return of 15% with a standard deviation of 20%. The correlation coefficient between them is .5. Your port

    		•
  • Q : Briefly describe the financial services

    1 FINANCIAL SERVICES BY BANKS Financial system facilitates the transformation of savings of individuals, government as well as business into investment and consumption. It consists of

    		•
  • 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 : What is Box Spread Box Spread: This is

    Box Spread: This is another strategy which seeks to exploit the arbitrage opportunities which are available in the market. In case that the options are correctly priced, this strategy would earn only the risk free rate. However, due to existence of im

    		•
  • Q : What are the different types of

    What are the different types of mathematics found in quantitative finance?

    		•
  • Q : Do expected equity flows coincide with

    Do expected equity flows coincide along with expected dividends?

    		•
  • Q : WCR lower cost of storage Inventory is

    Inventory is an important part of WCR estimation. It is a current asset, which depletes over period of time. Also, it requires creation of facility, which would help in storing the inventory and estimate the associated cost of maintaining and transporting it. The esti

    		•
  • Q : Problem on rules of the International

    RainFlower Trading Limited is a wholesaler of electronic calculators in Hong Kong. It has been importing goods from a Philippine manufacturer for eight years. The Philippine manufacturer had accepted payments in advance in the past. Recently, because of political turm

    		•