A stock has had the following year-end prices and dividends:Year Price Dividend1 $ 64.73 â 2 71.60 $ .68 3 77.40 .73 4 63.67 .79 5 73.91 .88 6 83.75 .95 What are the arithmetic and geometric returns for the stock? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e. g., 32.16.)Arithmetic average return %Geometric average return %

Arithmetic average return = 7.23%

Geometric average return=6.44%

Explanation:

Calculation for the Arithmetic average return

First step is to calculate the return for each year

Using this formula

Return=(Current year price amount-Previous price amount + Current year dividend)/ Previous year price amount ×100

Let plug in the formula

Year 1 Return= ($71.60-$64.73 + $.68) / $64.73

Year 1 Return=$7.55/$64.73

Year 1 Return= 11.66%

Year 2 Return= ($77.40-$71.60 + $.73) / $71.60

Year 2 Return=$6.53=$71.60

Year 2 Return = 9.12%

Year 3 Return= ($63.67-$77.40 +$ .79) / $77.40 Year 3 Return=$-12.94/$77.40

Year 3 Return=-16.72%

Year 4 Return= ($73.91-$63.67 +$ .88) / $63.67

Year 4 Return=$11.12/$63.67

Year 4 Return = 17.47%

Year 5 Return= ($83.75-$73.91 + $.95) / $73.91 Year 5 Return=$10.79/$73.91

Year 5 Return= 14.60%

The second step is to calculate the arithmetic average return

Using the formula

Arithmetic average return = (Addition of the each year return percentage /Numbers of years)

Let plug in the formula

Arithmetic average return (.1166 + .0912-.1672 + .1747 + .1460) / 5

Arithmetic average return =0.3613/5

Arithmetic average return = .0723 ×100

Arithmetic average return = 7.23%

Calculation for the geometric average return

Using this formula

Geometric average return=(1+Each year return percentage)^1/Numbers of years-1)

Let plug in the formula

Geometric average return== [(1 + .1166)×(1 + .0912)×(1-.1672)×(1 + .1747)×(1 + .1460)]^1/5-1

Geometric average return=[(1.1166)×(1.0912)(0.8328)×(1.1747)×(1.146)]^1/5-1

Geometric average return=(1.366011)^1/5-1

Geometric average return=1.0644

Geometric average return=1.0644-1

Geometric average return=0.0644

Geometric average return=0.0644 ×100

Geometric average return=6.44%

Therefore the Arithmetic average return is 7.23% while Geometric average return is 6.44%.

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whole quiz

1. the sum of all activities involved in getting high-quality products into the marketplace

2.operations

3. the principle of looking at the supply chain as a whole in order to improve the overall flow through the system.

4. produced; performed

5. activities producing tangible products, such as radios, newspapers, buses, and textbooks.

6. activities producing intangible and tangible products, such as entertainment, transportation, and education.

7.   customer focus

8. analyzing a competitor's products to identify desirable improvements

9. the systematic direction and control of the processes that transform resources into finished projects that create value for and provide benefits to consumers.

10. operation management.

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