Present value answers how much a future payment is worth in today’s money. You divide by a growth factor that reflects the return you could earn elsewhere, or the risk of the cash flow. Higher discount rates and longer waits both push present value down.

Key takeaways

  • Comparing offers that pay at different times requires present value, not raw face amounts.
  • Choosing the discount rate is a judgement about opportunity cost and risk.
  • Bond prices and many project appraisals are present value problems in disguise.
  • A high present value estimate collapses if the cash never arrives as hoped.