Essentials of Investments (The Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Essentials of Investments (The Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
10th Edition
ISBN: 9780077835422
Author: Zvi Bodie Professor, Alex Kane, Alan J. Marcus Professor
Publisher: McGraw-Hill Education
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Chapter 17, Problem 10PS

Consider a stock that will pay a dividend of D dollars in one year, which is when a futures contract matures. Consider the following strategy: Buy the Stock, short a futures contract on the stock, and borrow S 0 dollars, where S 0 is the current price of the stock. LO 17 3
a. What are the cash flows now and in one year? (Hint: Remember the dividend the
stock will pay.)
b. Show that the equilibrium futures price mum be F o = S 0 ( 1 + r ) D to avoid arbitrage.
c. Call the dividend yield d = D / S 0 , and conclude that F 0 = S 0 ( 1 + r d ) .

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