--%>
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 : State Exploitation of favorable market

    Exploitation of favorable market conditions: The firms after estimating WCR are in a position to clearly identify their status of excess current assets. After this realization they can use this knowledge to encash conditions arising in market even for

    		•
  • Q : Determine the future value What would

    What would the future value after 5 years of $100 be at 10% compound interest?

    		•
  • Q : Define Credit and Collections Credit &

    Credit & Collections: Usually, credit is stated as the procedure of providing a loan, in which one party transfers wealth to the other with the expectation that it will be re-paid in full plus interest. The definition of collections is connected t

    		•
  • Q : Could we explain that the shares’ value

    Could we explain that the shares’ value is intangible?

    		•
  • Q : Who published a book regarding

    Who published a book regarding option formula and risk neutrality?

    		•
  • Q : What are capital investment The capital

    The capital investment appraisal techniques such as NPV, IRR, ARR, PV and Time value of money have become irrelevant post Celtic Tiger. Due to the depth of the recession companies do not have budgets to invest. Discus First use this information when you are writing this essay: 1.&

    		•
  • Q : Expected return for a portfolio What is

    What is the expected return for a portfolio consisting of 200 shares of Nike, 200 shares of Home Depot, and 400 shares of Intel if their expected returns are 10%, 8% and 12% respectively, and their current prices are $25, $50, and $25 per share respec

    		•
  • Q : Explain the working of breakthrough for

    Explain the working of breakthrough in low-discrepancy sequences used for option valuation.

    		•
  • Q : Who wrote famous paper- distribution of

    Who wrote famous paper of on distribution of cotton price returns?

    		•
  • 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

    		•