(Related to Checkpoint 7.2) (Calculating the geometric and arithmetic average rate of return) Marsh Inc. had the following end-of-year stock prices over the last five years and paid no cash dividends: Time Marsh $12 1 2 3 4 5 10 20 5 12 (Click on the icon in order to copy its contents into a spreadsheet.) 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 Marsh's stock over this period? c. What is the geometric average rate of return earned by investing in Marsh's stock over this period? d. Considering the beginning and ending stock prices for the five-year period are the same, which type of average rate of return (the arithmetic or geometric) better describes the average annual rate of return earned over the period?

Managerial Accounting
15th Edition
ISBN:9781337912020
Author:Carl Warren, Ph.d. Cma William B. Tayler
Publisher:Carl Warren, Ph.d. Cma William B. Tayler
Chapter16: Financial Statement Analysis
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(Related to Checkpoint 7.2) (Calculating the geometric and arithmetic average rate of return) Marsh Inc. had the
following end-of-year stock prices over the last five years and paid no cash dividends:
Time
1
Marsh
$12
2
3
10
20
4
5
12
(Click on the icon in order to copy its contents into a spreadsheet.)
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 Marsh's stock over this period?
c. What is the geometric average rate of return earned by investing in Marsh's stock over this period?
d. Considering the beginning and ending stock prices for the five-year period are the same, which type of average rate
of return (the arithmetic or geometric) better describes the average annual rate of return earned over the period?
4
a. The annual rate of return at the end of year 2 is
%. (Round to two decimal places.)
Transcribed Image Text:(Related to Checkpoint 7.2) (Calculating the geometric and arithmetic average rate of return) Marsh Inc. had the following end-of-year stock prices over the last five years and paid no cash dividends: Time 1 Marsh $12 2 3 10 20 4 5 12 (Click on the icon in order to copy its contents into a spreadsheet.) 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 Marsh's stock over this period? c. What is the geometric average rate of return earned by investing in Marsh's stock over this period? d. Considering the beginning and ending stock prices for the five-year period are the same, which type of average rate of return (the arithmetic or geometric) better describes the average annual rate of return earned over the period? 4 a. The annual rate of return at the end of year 2 is %. (Round to two decimal places.)
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