6. Stock A has a spot price of $50. It is expected to appreciate by 2% over the nextquarter. The risk-free rate for the next quarter is 2% in continuously-compoundedand annualized terms, and the quarterly continuous dividend payment is also 2%in continuously-compounded and annualized terms. The three-month forwardprice is(a) $50.00(b) $50.25(c) $50.50(d) $50.75

Forward price=spot price×e(risk free rate-dividend pay rate)tIn the given question the risk free…

Answered: 6. Stock A has a spot price of $50. It…

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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The current market share price of Belta Airlines plc is $20. Every month, the stock price is expected either to increase by a multiplicative factor u = 1.1, or decrease by d = 0.91. The relevant annual continuously compounded risk-free rate of interest is 6%. 2. (a) What, according to the binomial option pricing model, will be the price of a 3-month European put option on a share of Belta stock, with a strike price of £19.50? (b) (c) What would the price of the put option was American style? If your answers to parts (a) and (b) differ, why do they differ?
Assume the current Treasury yield curve shows that the spot rates for six months, one year, and one and a half years are 1.0%, 1.1%, and 1.3%, all quoted as semiannually compounded APRs. What is the price of a $1,000 par, 4.75% coupon bond maturing in one and a half years (the next coupon is exactly six months from now)? The price of this bond is $ (Round to the nearest cent.)
Suppose stock A is priced at $30/share and the company will pay a dividend of $0.30/share after one month. An investor short sells 50 shares of A and after three months covers the short position when the stock prices is $33.30/share. The continuously compounded risk-free rate is 5%. Calculate the 3-month profit.
am. 66.
Assume the current Treasury yield curve shows that the spot rates for six months, one year, and one and a half years are 1.0%, 1.1%, and 1.3%, all quoted as semiannually compounded APRs. What is the price of a $1,000 par, 4.25% coupon bond maturing in one and a half years (the next coupon is exactly six months from now)? The price of this bond is $ (Round to the nearest cent.)
A non-dividend-paying stock is currently selling for $50, and the risk-free rate of interest is 8% per annum with continuous compounding for all maturities. An investor has just taken a short position in a six-month forward contract on the stock. a. What is the forward price？ (sample answer: $25.45) b. What is the initial value of the forward contract? (sample answer: $25.45) c. Three months later, the price of the stock is $48 and the risk-free rate is still 8% per annum. What is the forward price now? (sample answer: $25.45) What is the value of the short position in the forward contract? (sample answer: $25.45 or -$25.45
A stock has a current price of 50. The continuously compounded risk - free interest rate is 8%. The stock is going to pay a dividend of 0.5 one month from now and another dividend of 1 five months from now. Suppose that the market prepaid forward price of a prepaid forward contract that delivers one share after 6 months is 49. Construct an arbitrage portfolio and give the arbitrage profit.
The shares of XYZ Inc. are currently selling for $120 per share. The shares are expected to go up by 10 percent or down by 5 percent in each of the following two months (Month 1 and Month 2). XYZ Inc. is also expected to pay a dividend yield of 2 percent at the end of Month 1. The risk-free rate is 0.5 percent per month. a. What is the value of an American call option on XYZ shares, with an exercise price of $125 and two months to expiration? Use the binomial model to obtain the answer. b. Draw a binomial tree diagram for this American call option, showing the share price, call price, and whether the call should be exercised at each state during the next two months. ***Answer b only
A stock is currently trading at $54 and we assume a three-period binomial tree model where each period the stock can either increase by 20%, or fall by 18%. Each step in the tree is 3 months. The interest rate is 1.1% per year (continuous compounding). In this model, what is the risk-neutral probability that the stock price will go up twice and drop once over the three periods? [Provide your answer as a percentage rounded to two decimals, i.e. 40.25 for 0.4025=40.25%]

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