--%>
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 : Operational efficiency and

    Distinguish between Operational efficiency and informational efficiency?

    		•
  • Q : Explain the working of breakthrough for

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

    		•
  • Q : Problem on Yield to maturity Shawna

    Shawna desires to invest her recent bonus in a 4-year bond which pays a coupon of 11 % semi-annually. The bonds are selling at $962.13 nowadays. When she buys such bond and holds it to the maturity, what would be her yield? (Round to the nearest answer.) (i) 11.5%&nbs

    		•
  • Q : Problem on optimal capital structure

    XYZ Company has debt/assets ratio 50%, that is too high and it must be at 45% to be optimal. This debt reduction must also reduce the bankruptcy costs by $30 million. At present, XYZ has 5 million shares of common stock selling at $50 each. The tax rate of XYZ is 30%.

    		•
  • Q : Applied approaches to theory development

    Discuss and distinguish between the following applied approaches to theory development:  true-income (income statement and balance sheet approaches), efficient markets, and predictive ability.  You may want to include in your discussion any articles or studies that either supported or u

    		•
  • Q : Expected return and standard deviation

    If an investor is considered to be risk-averse, what is his/her attitude towards expected return and standard deviation?

    		•
  • 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 : Define Economy Impacts Economy Impacts

    Economy Impacts: An upcoming economy is indicated by rise in stock market, as stock market is primary indicator of a economic strength of a country. Progressing economy results in market boom. Yield of companies’ increases on improving economy,

    		•
  • Q : Explain modern quantitative

    Explain modern quantitative methodology for portfolio selection.

    		•
  • Q : Discretion can distort results Discuss

    Discuss how management’s discretion in applying accounting rules can mislead investors. Provide three examples and how the discretion can distort results?

    		•