1 4.5%2 6.0%3 1.5%4 −2.0%5 0.0%6 4.5%7 3.5%8 2.5%9 5.5%10 4.0%QuestionThe harmonic mean return over the 10 years is closest to:

To calculate the harmonic mean return over the 10 years, we first need to convert each percentage into a decimal and add 1 to each. This is because we are dealing with returns, which are typically expressed in this format.

1. 1 + 4.5/100 = 1.045
2. 1 + 6.0/100 = 1.06
3. 1 + 1.5/100 = 1.015
4. 1 - 2.0/100 = 0.98
5. 1 + 0.0/100 = 1.0
6. 1 + 4.5/100 = 1.045
7. 1 + 3.5/100 = 1.035
8. 1 + 2.5/100 = 1.025
9. 1 + 5.5/100 = 1.055
10. 1 + 4.0/100 = 1.04

Next, we take the reciprocal of each of these results:

1. 1/1.045
2. 1/1.06
3. 1/1.015
4. 1/0.98
5. 1/1.0
6. 1/1.045
7. 1/1.035
8. 1/1.025
9. 1/1.055
10. 1/1.04

We then sum up these reciprocals:

Sum = Σ (1/return)

Next, we divide the number of years (10) by this sum:

Harmonic Mean Return = 10 / Sum

Finally, we subtract 1 from this result and multiply by 100 to get the harmonic mean return as a percentage.

Please note that the actual calculation would require a calculator to get the precise value.