Time Value of Money
Learn present value, future value, annuities, and discounting for class problems. TVM is the foundation of every finance course and appears on virtually every exam. Once you master the timeline approach, most other finance topics become variations of the same discounting logic.
Solve Time Value of Money Problems with AI
Snap a photo of any time value of money problem and get instant step-by-step solutions.
Download FinanceIQKey Concepts
Study Tips
- ✓Draw a timeline first
- ✓Match rate and period units
- ✓Keep sign convention consistent
- ✓Estimate the answer before computing
Common Mistakes to Avoid
Students mix annual and monthly rates and skip timeline setup. Always convert APR to the matching period rate before plugging into the formula. Another frequent error is using D0 instead of D1 in growing perpetuity problems.
Time Value of Money FAQs
Common questions about time value of money
Use PV when discounting a future cash flow to today and FV when compounding a present amount forward. If the question asks 'what is it worth today,' use PV. If it asks 'what will it grow to,' use FV.
Ordinary annuity payments occur at the end of each period; annuity due payments occur at the beginning. Annuity due is worth more because each payment is received one period sooner, so multiply the ordinary annuity PV by (1+r) to convert.
Divide the APR by 12. For example, 12% APR becomes 1% per month. If you need the effective annual rate, use EAR = (1 + APR/m)^m - 1, where m is the number of compounding periods per year.
Related Topics
All Finance Topics
Master Time Value of Money with AI
Download FinanceIQ and solve any finance problem instantly.
Download for iOS