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 1 ​$ 2 3 4 5 ​(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?

Complete Question:

Marsh Inc. had the following​ end-of-year stock prices over the last five years and paid no cash​ dividends:

Time     Marsh

1              ​$99

2             141

3             121

4             88

5             99

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?

Marsh Inc.

a. annual rate of return for each year

Year

2             42. 4%

3             -14.2%  

4             -27.3  

5             12.5

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

= 3.35%

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

= -0.7502%

d. Considering the beginning and ending stock prices for the​ five-year period are the​ same, the geometric type of average rate of return​ better describes the average annual rate of return earned over the ​period.

Explanation:

a) Data and Calculations:

Time     Marsh   ARR

1              ​$99      

2             141       42. 4% ($42/$99 * 100)

3             121       -14.2% (-$20/$141 * 100)

4             88        -27.3 (-$33/$121 * 100)

5             99        12.5 ($11/$88 * 100)

Sum of ARR =   13.4%

Arithmetic mean = 3.35% (13.4%/4)

Geometric mean = {(1 + 0.424 * 1 - 0.142 * 1 - 0.273 * 1 + 0.125)∧1/4} - 1

= {(1.424 * 0.858 * 0.727 * 1.125)∧1/4} - 1

= {(0.99927)∧1/4} - 1

= 0.2498 - 1

= -0.7502

< 0

net worth is the difference between what you own and what you have. if you exceed your liabilities you have a positive net worth. if your liabilities are greater than your assets you have a negative net worth. its a snapshot of your financial situation. if you calculate your net worth you will see the end result of everything you've earned and spent as of now. net worth statements and all you asked of can you determine where you are, how to get where you want to be, if your spending   to much. honestly it can tell you a lot of things. i can go on, but you can paint the picture from here.

explanation:

b.

c.

d.

g.

those r all of them i believe