Time Value of Money and the Future Value of a Single Investment

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01:20 – Describing the problem of the FV of a single investment

02:30 – General equation

04:00 – Calculating the duration to get a specific FV with a fixed interest

06:30 – The integrated formula in Excel

07:50 – Example of calculations

09:50 – Application in Excel

16:50 – Calculation of the interest rate to get a specific FV over a period

18:35 – The integrated formula in Excel

19:40 – Example of Calculations

21:55 – Application in Excel

26:50 – Conclusions

The general formula

Here we will look deeper into the relationship between FV and PV as a function of the number of compounding periods and the periodic interest rate. The equation will be used later to develop the specific formulas

Part 1 – Future value of a single investment – Calculate the period

In this part, I will describe how to calculate the number of periods a single investment has to be outstanding to reach a specific future value with a given interest rate.

We will transform the general equation of FV=f(PV, i, n) to deduct the number of periods n.

Part 2 – Future value of a single investment – Calculate the interest

In this part, I will describe how to calculate the interest rate a single investment has to have to reach a specific future value with a given interest rate.

We will transform the general equation of FV=f(PV, i, n) to deduct the interest rate i.

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