--%>
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 : An example of use beta of Kinepolis in

    A financial consultant is valuing the company I set as an objective (an entertainment centre) by discounting the cash flows until the end of the dealership at 7.26% (interest rate on 30-year-bonds = 5.1%; market premium = 5%, and Beta = 0.47%). 0.47 is a beta provided

    		•
  • Q : Problem on binomial option pricing model

    The share price of Cheung Kong (Holdings) Limited is currently at $100. Over each of the next two three-month periods, you expect its price will either increase by 10% or fall by 10% in each three-month period. If the Hong Kong interbank offered rate is 8% per annum w

    		•
  • Q : Explain accurately value bond options

    If the model could not even find bond prices right, how could this hope to accurately value bond options?

    		•
  • Q : Continuously compounded rate of return

    Solve for the stated annual rate, r equal to the continuously compounded rate of return implicit in turning $1 at the end of 1925 (beginning of 1926) into these reported valued from RWJ9 in 2008 Figure below: 1. Determine the state

    		•
  • Q : What is the expected risk premium on

    You have decided to invest 30 percent in X; 30 percent in Y; and 40 percent in Z. Theprobability of the state of the economy is Boom 25%; Normal 60%; and, Bust 15%. The rateof return for stock X is Boom .20; Normal .15; and, Bust .00. The rate of return for stock Y is

    		•
  • Q : Historical return on stock market and

    The market risk premium is difference among the historical return upon the stock market and the risk-free rate, for yearly. Why is this negative for some years?

    		•
  • Q : Is book value the excellent proxy to

    Is book value the excellent proxy to the value of the shares?

    		•
  • Q : Which capital structure must consider

    Which capital structure must we consider when estimating the WACC for a subsidiary valuation: the one which is reasonable according to the risk of the subsidiary’s business that the average of the company or the one the subsidiary as “tolerates/per

    		•
  • Q : APR of Loan When you take out an $8,000

    When you take out an $8,000 car loan that calls for 48 monthly payments of $225 each, then what is the APR of loan?

    		•
  • Q : Problem on price share and stock

    Brittney and Kim Wan Sun have successfully launched a successful talent agency, ABC. They expect the firm’s earnings and dividends to grow by 20% annually for the next 10 years and they establish a strong base and to grow at a constant 5% per year thereafter. AB

    		•