(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 cashdividends:

Time	Marsh
1	$9
2	13
3	18
4	5
5	9

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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?

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Part 1

a. The annual rate of return at the end of year 2 is

44.4444.44%.

(Round to two decimal places.)

Part 2

The annual rate of return at the end of year 3 is

38.4638.46%.

(Round to two decimal places.)

Part 3

The annual rate of return at the end of year 4 is

negative 72.2272.22%.

(Round to two decimal places.)

Part 4

The annual rate of return at the end of year 5 is

8080%.

(Round to two decimal places.)

Part 5

b. The arithmetic average rate of return earned by investing in Marsh's stock over this period is

22.6722.67%.

(Round to two decimal places.)

Part 6

c. The geometric average rate of return earned by investing in Marsh's stock over this period is

enter your response here%.

(Round to two decimal places.)