an investment that in today's dollars returns 12% of your investment in year 1, 18% in year 2, 11% in year 3, and the remainder in year 4. Rounded to two places, what is the Duration of this investment

3.17 years

Explanation:

We can calculate the duration of Investment by duration formula,

Duration = Sum of (PV of each cashflow x year)

PV of each cash flow can be understood as Dolar return % given in the Question.

Year1 Year2 Year3 Year4

Duration = (12% x 1) + (18% x 2) + (11% x 3) + (59% x 4)

Duration = 0.12 + 0.36 + 0.33 + 2.36

Duration = 3.17 years

Note: (100%-12%-18%-11%) 59% can be calculated as the remainder of 100% after deducting each year's %.