# Future Value FV Formula + Calculator

The “time value of money” states that a dollar today is worth more than a dollar tomorrow, so future cash flows must be discounted back to the present date to be comparable to present values. The concept of future value is often closely tied to the concept of present value. Whereas future value calculations attempt to figure out the value of something in the future, present value attempts to figure out what something in the future will be worth today. Using it, you can calculate the worth of something today when you know its value in the future. This process is also referred to as “discounting” because, for any positive rate of return, the present value will be less than what it is worth in the future.

However, if the interest compounds semi-annually, the investment is worth \$121 instead. The number of compounding periods is equal to the term length in years multiplied by the compounding frequency. For investors and corporations alike, the future value is calculated to estimate the value of an investment at a later date to guide decision-making. Where r is the annual rate, i the periodic rate, and n the number of compounding periods per year.

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Future value is also useful to decide the mix of stocks, bonds, and other investments in your portfolio. The higher the rate of interest, or return, the less money you need to invest to reach a financial goal. Future value represents the worth of a current asset, investment, or cash flow at a specific date in the future based on an assumed rate of growth. It’s the opposite of present value, which measures what your assets are worth right now.

For example, if you decided to invest \$100.00 at an interest rate of 10% – assuming a compounding frequency of 1 – the investment should be worth \$110 by the end of one year. Therefore, to evaluate the real worthiness of an amount of money today after a given period of time, economic agents compound the amount of money at a given interest rate. Most actuarial calculations use the risk-free interest rate which corresponds the minimum guaranteed rate provided the bank’s saving account, for example. If one wants to compare their change in purchasing power, then they should use the real interest rate (nominal interest rate minus inflation rate). Future value is used for planning purposes to see what an investment, cashflow, or expense may be in the future. Investors use future value to determine whether or not to embark on an investment given its future value.

## Understanding Future Value (FV)

However, external economic factors, such as inflation, can adversely affect the future value of the asset by eroding its value. A common use of future value is planning for a financial goal, such as funding a retirement savings plan. Future value is used to calculate what you need to save and invest each year at a given rate of interest to achieve that goal. Future value is what a sum of money invested today will become over time, at a rate of interest. The more frequently that the deposit is compounded, the greater the amount of interest earned, which we can confirm by adjusting the compounding frequency.

• The future value is important to investors and financial planners, as they use it to estimate how much an investment made today will be worth in the future.
• If one wants to compare their change in purchasing power, then they should use the real interest rate (nominal interest rate minus inflation rate).
• In other words, assuming the same investment assumptions, \$1,050 has the present value of \$1,000 today.
• The concept of future value is often closely tied to the concept of present value.
• In conclusion, the implied future value (FV) of the bond increases with a higher frequency of compounding.

For example, if you invest \$1,000 in a five-year certificate of deposit (CD) that pays 5%, compounded annually, the future value of that \$1,000 is \$1,276.28. So the bond has increased from \$1,000 to \$1,485 after eight years, given the annual interest rate of 5.0% compounded on a semi-annual basis. Since the number of compounding periods is equal to the term length (8 years) multiplied by the compounding frequency (2x), the number of compounding periods is 16.

## Future Value

Typically, cash in a savings account or a hold in a bond purchase earns compound interest and so has a different value in the future. The calculated future value is a function of the interest rate assumption – i.e. the rate of return earned on the original amount of capital invested, or the present value (PV). The future value (FV) is a fundamental concept to corporate finance, whether it be for determining the valuation of a potential investment or projecting cash flows to support capital budgeting decisions.

• A common use of future value is planning for a financial goal, such as funding a retirement savings plan.
• Investing in alternative assets involves higher risks than traditional investments and is suitable only for sophisticated investors.
• Future value represents the worth of a current asset, investment, or cash flow at a specific date in the future based on an assumed rate of growth.
• It may be useful for an investor to know how much their investment may be in five years given an expected rate of return.

Let’s take a look at the inner workings of future value, why it deserves your attention, and how you can use the future value calculation to support your financial decisions. The future value of an annuity is the value of a group of recurring payments at a certain date in the future, assuming a particular rate of return, or discount rate. For example, consider if a taxpayer anticipates filing their return one month late. The taxpayer can calculate the future value of their obligation assuming a 5% penalty imposed on the \$500 tax obligation for one month. In other words, the \$500 tax obligation has a future value of \$525 when factoring in the liability growth due to the 5% penalty. The future value calculation allows investors to predict, with varying degrees of accuracy, the amount of profit that can be generated by different investments.

## What is future value?

If a taxpayer knows they have filed their return late and are subject to the 5% penalty, that taxpayer can easily calculate the future value of their owed taxes based on the imposed growth rate of their fee. With simple interest, it is assumed that the interest rate is earned only on the initial investment. With compounded interest, the rate is applied to each period’s cumulative account balance. In the example above, the first year of investment earns 10% × \$1,000, or \$100, in interest. Wondering how much your hard-earned money will be worth in five years, or 10, or by retirement?

## What Is the Future Value of an Annuity?

You can use the future value formula to calculate how your current savings may turn into a home down payment, car down payment, or funds used to pay tuition. To understand the core concept, however, simple and compound interest rates are the most straightforward examples of the future value calculation. Knowing the future value enables investors to make sound investment decisions based on their anticipated needs.