# THE NUMBER OF YEARS (n) OF A LUMP SUM CALCULATOR

To get the number of years it will take to accumulate a particular lump sum, enter the future value, interest rate, and present in the box. Also, select the applicable compounding frequency

Compounded annually Semi-annually Quarterly Monthly weekly daily

### How do you calculate the number of years in a lump sum?

We may compute the number of years (n) in a case where we know the present value, future value, and interest rate of a lump sum using the following formula:

$$n=\frac{\log \left(\frac{FV}{PV}\right)}{m × \log\left(1+\frac{r}{m}\right)}$$

### What is n?

The number of years (n) is the amount of time between the present value and the future value of a lump sum.

In other words, n indicates how long a lump sum will take to compound to a specific amount in the future.

### What is PV?

The present value of a lump sum is represented by the letter PV.

The Present value tells you how much a future sum of money is worth now.

To calculate the present value of a lump sum, I recommend that you use our present value of the lump sum calculator.

### What is FV?

FV is the future value of a lump sum. The future value of a lump sum is the amount that a lump sum will be worth at some point in the future if it is compounded at a given interest rate.

This calculator can be used to calculate the future value of a lump amount.

### What is r?

r is the interest rate, which signifies the cost of not holding money for one year.

It signifies the annual rate of interest that applies to the compounded amount.

### What is m?

m stand for compounding frequency, which is the number of times interest is compounded per year.

The compounding frequency may be annual, (in which m=1), semi-annually (where m=2), quarterly (where m=4), bi-quarterly (where m=8), monthly( where m=12), bi-monthly (where m=24), weekly (in which m=7), bi-weekly (where m=14) and daily (where m=365 or 360).

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