Future Value vs Present Value: Key Formula & Investment Impact
Present Value is what a future cash flow is worth today, discounted by time and risk. Future Value is what today’s cash will grow to after compounding interest.
People confuse the two because they both deal with time and money, yet they answer opposite questions: “How much do I need now?” versus “How much will I have later?” The mix-up often costs investors real money.
Key Differences
Present Value uses discounting; Future Value uses compounding. PV shrinks tomorrow’s dollars to today’s worth; FV inflates today’s dollars into tomorrow’s amount. Each has a distinct formula: PV = FV/(1+r)^n and FV = PV*(1+r)^n.
Which One Should You Choose?
Use Present Value when deciding whether to fund a project or buy a bond today. Use Future Value when setting retirement targets or comparing savings plans. Match the tool to the decision.
Examples and Daily Life
A $1,000 bond paying $1,100 in one year at 5% has a PV of $1,048; if you invest $1,000 now at 5%, its FV in one year is $1,050. Small difference, huge impact over decades.
How fast does a small rate change affect FV?
A 1% bump from 5% to 6% turns $10,000 into $17,908 in 10 years instead of $16,289—extra $1,619.
Is PV ever larger than FV?
No, PV is always smaller unless the discount rate is zero or negative.