--%>

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 : How present value of tax shields be

    I have two valuations of the company that we set as an objective. Within one of them, the present value of tax shields (D Kd T) computed using Ku (required return to unlevered equity) and, in one, by using Kd (required return to debt). The second valuation is too high

  • Q : Problem on Corp stocking Cheever Corp

    Cheever Corp stock is selling at $40 a share. Its dividend in subsequent year will be $2 a share and its β is 1.25. Crane Company has similar growth rate as Cheever. The current stock price of Crane is $55 a share, and its dividend this year is $3. The riskless r

  • Q : Probability of dividend Universal

    Universal Corporation has the following dividend policy: if the earnings after taxes are less than $1 million, the dividend payout ratio will be 35%, but if these earnings are over $1 million, the dividend payout ratio will be 45%. The EBIT of Universal for next year

  • Q : What is Stock Market Stock Market : To

    Stock Market: To trade company shares (or stock) and derivatives, a stock market or equity market is public entity where these shares and derivatives are sold at agreed price. These are to be listed on a stock exchange in order to trade publicly.

  • Q : Problem on maintaining dividend Jackson

    Jackson Company has 6 million shares of common stock selling at $55 each. It also has $120 million in long-term bonds with coupon 7%, selling at 90. The tax rate of Jackson is 33%. Next year its EBIT is expected to be $25 million with a standard deviation of $7 millio

  • 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 : How companies accuse investors make

    Sometimes, companies accuse investors of performing credit sales which they make their quotations fall. Is it true?

  • Q : Cost of Equity AB Corporation has 16%

    AB Corporation has 16% cost of equity, 35% tax rate, and debt-to-equity ratio of 30%. XY Corporation has 30% tax rate and debt-to-equity ratio of 40%. Both AB and XY are in the same business of selling automotive parts. If the riskless rate is 4% and the expected retu

  • Q : What is the sales of the firm The

    The financial ratios of a firm are as follows. Current ratio = 1.33 Acid-test ratio = 0.80 Current liabilities = 40,000 Inventory turnover ratio = 6  What is the sales of the firm?

  • Q : Is it correct to use valuation of

    Is this correct to use in the valuation of the shares of a certain company the “the real net assets value” which, as per to the Institute of Accounting and Auditing (ICAC), shows the “book value of shareholder’s equity, corrected through increa