In finance, it is implied that the value of the money will increase over a period of time if it is invested properly. The value of money which is received at present is more than the value of money which has to be received at a later date. This concept of money is based on the fact that an investor can invest the money he has received in the various options, and earn some more money in the form of interest or dividends or capital gain after some time. If he receives the money later, after a year or more, he will not earn the income he would have otherwise got till the receipt of the money. Hence investors wish to calculate the value of money available with them at present, at a future date.
Definition
What is future value factor ?
The Future Value Factor or future value interest factor, which is abbreviated as FVF or FVIF is the factor used to calculate the value of a specific amount at a future date. This factor is used by investors to estimate the value of the money they have at a future date, assuming a certain rate of interest. It is also used for calculating the annuity payments or annuity due. For calculating the FVF, the interest is compounded based on the period specified. It is assumed that the interest earned on the principal during the period for compounding will also be reinvested and earn interest. Either a formula or tables can be used for determining FVF
FVF Formula – How to calculate future value factor ?
The formula for calculating the FFV uses the interest rate in percentage
FVF = ( 1 + r)^n
where r is the interest rate in percentage for the period after which it is compounded
n = number of periods for which the investment is compounded.
The annual interest rate for the investment should match the interest rate for each period and the number of periods when the interest is compounded.
an alternate formula for calculating the FVF uses the number of compounding periods in a year
FVF = (1+ (APR/m))^nXm
In this alternate formula, APR is the annual percentage rate for the investment, m is the number of periods in the year, when the interest is compounded, and n is total the number of years. Similar formulas with some variations are used for calculating the FVF for the annuities, annuity due to FVF Table.
Since calculating the FVF using the formula is time-consuming and tedious as it involves compounding many investors are preferring to use tables for determining the FVF for different interest rates and periods. The table is usually available for 1 to 30 periods depending on the duration of the investment. Since the interest rate on debt is usually limited to a maximum of 18% only for most investments, the FVF corresponding to interest rates up to 18% are usually provided in the table. However, it is possible to generate tables with more periods and higher interest rates depending on the investment which is being considered.
Future value interest factor Table example :
Using the table for determining the FVF is comparatively simple, the investor will only have to look at the interest rate, and the compounding period. The table is also convenient, since the investor can compare the FVF for the different periods, and different interest rates easily to take a decision accordingly, he does not have to manually calculate values. Similar tables are also available for annuities and annuity due. Most financial consultants will use the tables while advising the investor on the options available for investing their money.
Explanation
The FVF is used to determine the value of one dollar invested at a later date, for different interest rates and compounding periods. The factor which is obtained by calculation using the FVF formula or derived from the FVF table is then multiplied by the actual amount which is available. This can be used by investors to choose between debt investments which are less risky, and offer low returns, and equity investments which offer better returns yet may also result in losses for the investor. FVF highlights the time concept of money, that it is better for a business or individual to get the payment due at the earliest, so that it can be invested, instead of waiting to receive the amount, and losing the interest otherwise earned.
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