Continuous and Discrete Time Discounting

The well-known concept of discounting may be implemented as a discrete or continuous process in time, the first representing the common approach in financial institutions. The discrete time discounting term is , where is the discount rate and is the time variable. The expression may be regarded as the present value of one unit of value at time . For , the expression decreases over time. The corresponding continuous time expression is . Note that . The integral is shown as the PV (red) area (the present value of receiving one unit of value each unit of time eternally), while the PV (blue) area represents the sum. You can see the discrete time discounting as the light blue bars and/or a connecting blue line.

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.