Suppose the value of the S&P 500 Stock Index is currently $2,000. If the one-year T-bill rate is 4.5% and the expected dividend yie on the S&P 500 is 4.0%. . What should the one-year maturity futures price be? (Do not round intermediate calculations.) Futures price . What would the one-year maturity futures price be, if the T-bill rate is less than the dividend yield, for example, 3.0% ? (Do not ro Intermediate calculations.) Futures price $

Suppose the value of the S&P 500 Stock Index is currently $2,000. If the one-year T-bill rate is 4.5% and the expected dividend yie on the S&P 500 is 4.0%. . What should the one-year maturity futures price be? (Do not round intermediate calculations.) Futures price . What would the one-year maturity futures price be, if the T-bill rate is less than the dividend yield, for example, 3.0% ? (Do not ro Intermediate calculations.) Futures price $

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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Suppose the value of the S&P 500 stock index is currently $3,700. Required: If the 1-year T-bill rate is 3% and the expected dividend yield on the S&P 500 is 1%, what should the 1-year maturity futures price be? What if the T-bill rate is less than the dividend yield, for example, 1%?
Suppose the value of the S&P 500 stock index is currently 2,400. a. If the 1-year T-bill rate is 6% and the expected dividend yield on the S&P 500 is 4%, what should the 1-year maturity futures price be? Futures price b. What if the T-bill rate is less than the dividend yield, for example, 1%? The T-bill rate is less than the dividend yield, then the futures price should be less than the spot price.
Suppose the 180-day S&P 500 futures price is 1,404.98, while the cash price is 1,390.2. What is the implied dividend yield on the S&P 500 if the risk free interest rate is 3.5 percent? (Round your answer to 2 decimal places. Omit the "%" sign in your response.) Implied dividend %
Suppose the 6-month Mini S&P 500 futures price is 1,345.99, while the cash price is 1,335.81. What is the implied difference between the risk-free interest rate and the dividend yield on the S&P 500? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Implied difference %
Suppose a stock is currently (time t = 0) worth 100. Further, suppose the one year annually compounded interest rate is 2%, and the two year annually compounded rate is 3%. Find the following:a) The forward price for a forward contract on the stock with maturity year T1 = 1. b) The forward price for a forward contract on the stock with maturity year T2 = 2.c) The forward price for a forward contract with maturity T1 = 1 on a ZCB with maturity T2 = 2.d) The forward price for a forward contract with maturity T1 = 1 on a forward contract on the stock with maturity T2 = 2 and delivery price K = 101.
Suppose that the current price of Roblox Corporation common stock is (RBLX) is $100. If the price of RBLX will be either $150 or $50 one year from now, what is the price of a call option with a strike price of $120 expiring one year from now? Assume that the current risk free rate is 1%. What is the risk neutral probability of the stock being $150 one year from now?
5) Find today's closing price of the S&P 500 index and one-year Treasury yield. What is the futures price of the index contract for maturity in one year (Assuming dividend yield of 2%)
Suppose the 1-year futures price on a stock-index portfolio is 1,914, the stock index currently is 1,900, the 1-year risk-free interest rate is 3%, and the year-end dividend that will be paid on a $1,900 investment in the market index portfolio is $40.a. By how much is the contract mispriced?b. Formulate a zero-net-investment arbitrage portfolio and show that you can lock in riskless profits equal to the futures mispricing.c. Now assume (as is true for small investors) that if you short sell the stocks in the market index, the proceeds of the short sale are kept with the broker, and you do not receive any interest income on the funds. Is there still an arbitrage opportunity (assuming that you don’t already own the shares in the index)? Explain.d. Given the short-sale rules, what is the no-arbitrage band for the stock-futures price relation-ship? That is, given a stock index of 1,900, how high and how low can the futures price be without giving rise to arbitrage opportunities?
Consider a European call option and a European put option that have the same underlying stock, the same strike price K = 40, and the same expiration date 6 months from now. The current stock price is $45. a) Suppose the annualized risk-free rate r = 2%, what is the difference between the call premium and the put premium implied by no-arbitrage? b) Suppose the annualized risk-free borrowing rate = 4%, and the annualized risk-free lending rate = 2%. Find the maximum and minimum difference between the call premium and the put premium, i.e., C − P such that there is no arbitrage opportunities.
An index level of 1,000, what is the value of each contract? If a long stock index futures position on S& P 500 index futures at 1, 051 and has an index of 1, 058 at the settlement date, how much would be the trader’s gain? Complete Solution.
Consider a European put and a European call option which are both written on a non-dividend paying stock, have the same strike price K = £80 and expire in T = 2 months. These options are trading for p = £21 and c = £30.80, respectively. The underlying stock price is S0 = £90. The continuously compounded risk-free rate of interest is r = 10% per annum. What is the present value of the arbitrage profit? Please explain your answer and show your workings. In your response, please show all cash flows (both today and at expiration) and explain why this is an arbitrage (i.e. risk-less) profit.
Consider the futures contract on XYZ Inc. stock. Suppose that the annual dividend yield for the stock is 2.5% and the risk-free rate is 6.3%. Both rates are based on continuous compounding. The current futures price of the XYZ Inc. futures contract maturing in 18 months is $900 per share. Assume that the no arbitrage Futures-Spot parity when asset provides a known yield holds. What is the current spot price of XYZ Inc. per share? Please explain and show calculation. a. $934.39 b. $952.79 c. $850.13 d. $900.00 e. $944.37

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