A call option has X=$52 and expire in 360 days (suppose we have 360 days in one year). The risk-free rate is 4%. The call is priced at $11. A put option has X=$52 and is priced at $1. The underlying asset is priced at S0=$43. Suppose in our investments, possibly obtain? could involve one call, one put, one bond, and on stock. How much arbitrage profit could we

A call option has X=$52 and expire in 360 days (suppose we have 360 days in one year). The risk-free rate is 4%. The call is priced at $11. A put option has X=$52 and is priced at $1. The underlying asset is priced at S0=$43. Suppose in our investments, possibly obtain? could involve one call, one put, one bond, and on stock. How much arbitrage profit could we

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Assume that you manage a $10.00 million mutual fund that has a beta of 1.05 and a 9.50% required return. The risk-free rate is 2.20%. You now receive another $11.50 million, which you invest in stocks with an average beta of 0.82. What is the required rate of return on the new portfolio? (Hint: You must first find the market risk premium, then find the new portfolio beta.)
Suppose you hold a diversified portfolio consisting of a $7,500 investment in each of 20 different common stocks. The portfolio beta is equal to 1.12. Now, suppose you have decide to sell one of the stocks in your portfolio with a beta equal to 1.0 for 7,500 and to use these proceeds to buy another stocks for your portfolio. Assume the new stocks beta to 1.75. Calculate your portfolios new beta.
A two-year maturity floater. Assume annual coupon payment and $1,000 par. Its discount rate is Libor + 2%. The discount rate for fixed cash flows is 2% a. What is the price of this floater if the coupon is Libor + 2%? b. What is the price of this floater if the coupon is Libor + 1%?
Suppose that the current rates on 60 and 120 day GICs are 5.50% and 5.75%, respectively. An investor is weighing the alternatives of purchasing a 120 day GIC versus purchasing a 60 day GIC and then reinvesting its maturity value in a second 60 day GIC.What would the interest rate on 60 day GICs have to be 60 days from now for the investor to end up in the same financial position with either alternative?
An investor has $1000 initial wealth for investment and he borrows another $500 at the risk free rate. He then invest the entire total amount of $1500 in the market portfolio. What is his portfolio beta? +2.0 1.0 + 1.50
You are bearish on Telecom and decide to sell short 100 shares at the current market price of $44 per share. a. How much in cash or securities must you put into your brokerage account if the broker's initial margin requirement is 50% of the value of the short position? Initial margin b. How high can the price of the stock go before you get a margin call if the maintenance margin is 30% of the value of the short position? (Round your answer to 2 decimal places.) Stock price reaches
You have just invested in a portfolio of three stocks. The amount of money that you invested in each stock and its beta are summarized below. Stock A B C Investment $196,000 294,000 490,000 Beta Expected rate of return 1.50 0.55 1.35 Calculate the beta of the portfolio and use the Capital Asset Pricing Model (CAPM) to compute the expected rate of return for the portfolio. Assume that the expected rate of return on the market is 18 percent and that the risk-free rate is 9 percent. (Round beta answer to 3 decimal places, e.g. 52.750 and expected rate of return answer to 2 decimal places, e.g. 52.75%) Beta of the portfolio %
D4) Finance Calculate the price of a 3-month American put option on a non-dividend-paying stock when the stock price is $50, the strike price is $50, the risk-free interest rate is 5% per annum, and the volatility is 25% per annum. Use a binomial tree with a time interval of 1 month.
The share price of your favourite company is currently traded at a price of £60 and interest is compounded continuously at rate 3.7% per year. Assume that the share evolves according to a discrete time LogNormal process with time measured in years, drift μ= 0.15 and volatility o = 0.24. You decide to buy a European call option with a strike price of £63 and an expiration date of two years from now. What is the no- arbitrage price for this option? State your answer to the nearest pence. Do not enter the pound sign.
Is there an arbitrage opportunity in this market? Explain.
Which of the following is correct? O A. Common stock valuation usually treats the common stock as a perpetuity. OB. The appropriate measure for risk according to the capital asset pricing model is beta. OC. The present value of a $100 perpetuity discounted at 5% is $2,000. OD. The incremental cost is the cost of making a choice defined in terms of the next best alternative that is foregone. OE. Both B and C.
An investor has $1000 initial wealth for investment and he borrows another $500 at the risk free rate. He then invest the entire total amount of $1500 in the market portfolio. What is his portfolio beta?

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