
To determine: The number of periods of investment.
Introduction:
The

Answer to Problem 5QP
Solution:
The number of periods is as follows:
Particulars | Years | Interest Rate | Future value | |
Investment A | $625 | 10.64 | 7% | $1,284 |
Investment B | $810 | 14.81 | 12% | $4,341 |
Investment C | $16,500 | 20.35 | 17% | $402,662 |
Investment D | $21,500 | 25.01 | 8% | $147,350 |
Explanation of Solution
Given information:
Investment A has a present value of $625, future value of $1,284, and an interest rate of 7%. Investment B has a present value of $810, future value of $4,341, and an interest rate of 12%
Investment C has a present value of $16,500, future value of $402,662, and an interest rate of 17%. Investment D has a present value of $21,500, future value of $147,350, and an interest rate of 8%.
Formula:
Derive the formula to calculate the number of periods from the present value equation as follows:
The formula to calculate the number of periods:
Where,
“t” refers to the number of years or periods of investment,
“ln” refers to the log value,
“FV” refers to the future value,
“PV” refers to the present value,
“r” refers to the simple rate of interest.
Compute the number of periods for Investment A:
Hence, the number of periods of Investment A is 10.64 years.
Compute the number of periods for Investment B:
Hence, the number of periods of Investment B is 14.81 years.
Compute the number of periods for Investment C:
Hence, the number of periods of Investment C is 20.35 years.
Compute the number of periods for Investment D:
Hence, the number of periods of Investment D is 25.01 years.
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