EBK INVESTMENTS
EBK INVESTMENTS
11th Edition
ISBN: 9781259357480
Author: Bodie
Publisher: MCGRAW HILL BOOK COMPANY
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Chapter 22, Problem 10PS

a.

Summary Introduction

To compute: The maturity future price after 1 year if T-bill rate is 3% and expected dividend yield is 2%.

Introduction:

Future price: A price estimated for a financial transaction that is supposed to be occurring in the future is called future price. Sometimes we have to estimate the future price of a commodity that will occur on a future date. So, on that future day, the price estimated now will become the settlement price of future contracts.

b.

Summary Introduction

To compute: The value of maturity price if the T-bill rate is less than the dividend yield less than 1%.

Introduction:

Dividend yield: It is supposed to be the amount of money paid by the company to its shareholders. Normally, dividend yield is calculated for one year of investment and is represented in terms of percentages.

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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 2,000.a. If the 1-year T-bill rate is 3% and the expected dividend yield on the S&P 500 is 2%, what should the 1-year maturity futures price be?b. What if the T-bill rate is less than the dividend yield, for example, 1%?
Consider these futures market data for the June delivery S&P 500 contract, exactly one year from today. The S&P 500 index is at 1,950, and the June maturity contract is at F0 = 1,951.a. If the current interest rate is 2.5%, and the average dividend rate of the stocks in the index is 1.9%, what fraction of the proceeds of stock short sales would need to be available to you to earn arbitrage profits?b. Suppose now that you in fact have access to 90% of the proceeds from a short sale. What is the lower bound on the futures price that rules out arbitrage opportunities?c. By how much does the actual futures price fall below the no-arbitrage bound?d. Formulate the appropriate arbitrage strategy, and calculate the profits to that strategy.
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