(Calculating the geometric and arithmetic average rate of return) The common stock of the Brangus Cattle Company had the following end-of-year stock prices over the last five years and paid no cash dividends: Brangus cattle Comapny $16 Time 1 2 3 11 4 21 5 29 (Click on the icon in order to copy its contents into a spreadsheet.) 8 a. Calculate the annual rate of return for each year from the above information. b. What is the arithmetic average rate of return earned by investing in Brangus Cattle Company's stock over this period? c. What is the geometric average rate of return earned by investing in Brangus Cattle Company's stock over this period? d. Which type of average rate of return best describes the average annual rate of return earned over the period (the arithmetic or geometric)? Why?

International Financial Management
14th Edition
ISBN:9780357130698
Author:Madura
Publisher:Madura
Chapter13: Direct Foreign Investment
Section: Chapter Questions
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(Calculating the geometric and arithmetic average rate of return) The common stock of the Brangus Cattle Company had the following end-of-year stock prices
over the last five years and paid no cash dividends:
Time
1
23WN
Brangus cattle Comapny
$16
8
11
21
5
29
(Click on the icon in order to copy its contents into a spreadsheet.)
4
a. Calculate the annual rate of return for each year from the above information.
b. What is the arithmetic average rate of return earned by investing in Brangus Cattle Company's stock over this period?
c. What is the geometric average rate of return earned by investing in Brangus Cattle Company's stock over this period?
d. Which type of average rate of return best describes the average annual rate of return earned over the period (the arithmetic or geometric)? Why?
Transcribed Image Text:(Calculating the geometric and arithmetic average rate of return) The common stock of the Brangus Cattle Company had the following end-of-year stock prices over the last five years and paid no cash dividends: Time 1 23WN Brangus cattle Comapny $16 8 11 21 5 29 (Click on the icon in order to copy its contents into a spreadsheet.) 4 a. Calculate the annual rate of return for each year from the above information. b. What is the arithmetic average rate of return earned by investing in Brangus Cattle Company's stock over this period? c. What is the geometric average rate of return earned by investing in Brangus Cattle Company's stock over this period? d. Which type of average rate of return best describes the average annual rate of return earned over the period (the arithmetic or geometric)? Why?
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