--%>
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 : Problem on implied exchange rate a) The

    a) The Australian firm sold a ship to a Swiss firm and gave the Swiss client an option of paying either AUS10,000 or SF15,000 in 9 months. (i) In above, the Australian firm efficiently gave the Swiss client a free option to buy up

    		•
  • Q : Explain the way of estimating an average

    Explain the way of estimating an average.

    		•
  • 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 : Define Initial public offering or IPO

    Initial public offering: An initial public offering (IPO) otherwise called as stock market launch, is the first time company selling stock to public. Usually raised for capital expansion and to become publicly traded company. Investment banking firms

    		•
  • Q : Variance of a portfolio The variance of

    The variance of a portfolio of 40 stocks will be the addition of _______ variance terms and _______ covariance terms. A) 40; 1560B) 40; 1600C) 80; 40D) 1600; 40

    		•
  • Q : Explain the structure

    Our company (A) is going to buy the other company (B). We need to value the shares of B and, thus, we will use three options of the structure Debt/Shareholders’ Equity in order to obtain the WACC as: 1) Present structure of A

    		•
  • Q : Who explained the high-peak/fat-tails

    Who explained the high-peak/fat-tails?

    		•
  • Q : Compute betas against local indexes

    Does it make any sense to compute betas against local indexes while a company has a great part of its operations outside such local market? I have two illustrations: BBVA and Santander.

    		•
  • Q : Explain value of shares is Is this

    Is this correct that the value of the shares is, the “value of the results’ capitalization” that, as per to the Institute of Accounting and Auditing (ICAC) shows “the sum of the expected future results of the company throughout a certain period

    		•
  • Q : Which data is the most suitable for

    Which data is the most suitable for finding betas?

    		•