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- For each amount of money Y to be received n periods in the future, divide Y by (1+r)n, where r is the discount rate per period (usually the interest rate, or the guaranteed risk-free rate of return).<\/li>\n
- In more practical terms, it is the amount of money that would need to be invested today to generate a specific income down the road.<\/li>\n
- If you work this monthly payment into your company’s budget, you can replace the obsolete equipment in three years, paying cash and not taking on additional debt.<\/li>\n
- In contrast, future value shows the value of today’s money in the future.<\/li>\n
- Consider an annuity that pays W dollars every period for n periods starting k periods from now.<\/li>\n
- Assuming that the discount rate is 5.0% \u2013 the expected rate of return on comparable investments \u2013 the $10,000 in five years would be worth $7,835 today.<\/li>\n<\/ul>\n
The FV equation is based on the assumption of a constant growth rate, a single initial payment that remains unchanged throughout the investment’s lifespan, and a risk-free option. Assuming that the discount rate is 5.0% \u2013 the expected rate of return on comparable investments \u2013 the $10,000 in five years would be worth $7,835 today. It’s important to consider that in any investment decision, no interest rate is guaranteed, and inflation can erode the rate of return on an investment. A comparison of present value with future value (FV) best illustrates the principle of the time value of money and the need for charging or paying additional risk-based interest rates. Simply put, the money today is worth more than the same money tomorrow because of the passage of time. Future value can relate to the future cash inflows from investing today’s money, or the future payment required to repay money borrowed today.<\/p>\n
Present Value Formula and Calculation<\/h2>\n