Time value of money

All financial decisions must take into account the basic idea that money has time value.

In a financial transaction each payment should have a date, the date that it falls due.

Dated values are considered to be equivalent when they have the same value on the same date.

Dated values can be summed up only provided they are all due on the same date. To sum up values due on different dates, all values must be replaced by equivalent values dated on the same day (the comparison day).

Examples

At 12 % simple interest $100 due in one year are equivalent to $112 due in two years. In the same way the $100 due in one year are equivalent to $89.29 due now.

Calculation Single Payment  
     
Input Nominal annual rate: 12 %
  Interest is compounded: never
  Periods: annually
  Number of years: 1
  Single payment: 100
     
Result Present value 89.29
  Future value: 112.00
   

At 12 % compounded annually a series of three $100 payments every year starting now has a value of:
$100 + $89.29 + $79.72 = $269.01 now, and
$125.44 + $112 + $100 = $377.93 in two years.

Calculation Annuity  
     
Input Nominal annual rate: 12 %
  Interest is compounded: annually
  Payments are made: annually
  Number of payments: 3
  Periodic payment: 100
  Number of periods before first payment: 0
     
Result Present value: 269.01
  Future value: 377.93
   
A more elaborated example can be found in the Lease payments vs. loan payments topic.

 

Related topics

Present value
Future value
Simple interest
Compound interest
Lease payments vs. loan payments