## What is Future Value?

Future value (FV) is a crucial concept for investors and financial planners, enabling them to estimate the worth of current assets at a future date based on assumed growth rates. By understanding future value, individuals can make informed investment decisions and plan for their financial goals. In this article, we will explore the definition of future value, discuss the formula and calculation methods, provide an example for better comprehension, and highlight the practical uses of future value in financial analysis.

Future value, denoted as FV, represents the anticipated value of a current asset or investment at a specified future date. It is determined by considering an assumed rate of growth over time. Investors and financial planners employ future value calculations to evaluate the potential returns of an investment made in the present.

Future value is the counterpart of present value (PV), which calculates the worth of future sums of money in terms of today's value. While present value helps determine the current value of future cash flows, future value estimates the value of current investments at a later point in time.

### Calculation of Future Value

There are two primary methods to calculate future value: simple interest and compound interest.

1. Simple Interest: The formula for calculating future value with simple interest is: FV = PV × (1 + (r × t)) Where: FV = Future value PV = Present value or initial investment r = Interest rate per period t = Number of periods

Simple interest assumes that the interest earned on the investment remains constant over time. This method is commonly used for short-term investments or when the interest rate remains unchanged.

1. Compound Interest: The formula for calculating future value with compound interest is: FV = PV × (1 + r)^t Where: FV = Future value PV = Present value or initial investment r = Interest rate per period t = Number of periods

Compound interest considers the reinvestment of earned interest, leading to exponential growth over time. This method is more suitable for long-term investments or situations where the interest compounds at regular intervals.

### Example Calculation

Let's consider an example to illustrate the calculation of future value. Suppose you invest \$5,000 in a fixed deposit account with an annual interest rate of 5% for a period of 5 years.

Using the compound interest formula: FV = \$5,000 × (1 + 0.05)^5 FV = \$5,000 × 1.27628 FV ≈ \$6,381.41

After 5 years, the future value of your investment would be approximately \$6,381.41.

### Practical Uses of Future Value

Future value plays a vital role in financial analysis and decision-making. Here are some practical uses of future value:

1. Investment Planning: Future value calculations help individuals determine the growth potential of different investment options. By comparing the future values of various investments, investors can make informed choices based on their financial goals and risk tolerance.

2. Retirement Planning: Future value estimation assists individuals in planning for their retirement. By calculating the future value of their current savings or investments, they can determine whether they are on track to meet their desired retirement income.

3. Loan Repayment: Future value calculations are useful for borrowers in understanding the long-term impact of loans. By calculating the future value of loan repayments, borrowers can assess the total cost of borrowing and make informed decisions about loan terms and repayment options.

4. Business Valuation: Future value is essential in business valuation. By estimating the future cash flows generated by a business, analysts can determine its potential worth and assess investment opportunities.

### Summary

Future Value is the hypothetical value of an investment at a specific date in the future. The future value (FV) of an investment or business is a calculation used in several types of planning and accounting.

In a Time Value of Money (TVM) calculation, the Future Value is often the starting point, and the interest rate that will be earned in the meantime is called Discount Rate, and is discounted by the number of years of periods back to the present time. This allows investors to see the Present Value (PV), which is a lesser, discounted amount from the future value, and gives us the premise for the Time Value of Money, which is that “a dollar today is worth more than a dollar tomorrow.”

This is partially due to the effects of inflation and the buying power of a unit of currency, and it also has to do with Opportunity Cost, which means that, with a dollar today, you have the opportunity to invest it and earn more money. If that dollar is not present today, or if it is used on something which doesn’t earn interest, the opportunity for a larger slice of Future Value is lost.

Disclaimers and Limitations