Ratedrill

All 53 time value of money problems

Ratedrill is time value of money practice in your browser. Every problem is a template filled with fresh, realistic numbers on each attempt: a savings goal, a mortgage, a project, a bond. Solve it your way, enter one number, and see the formula, the calculator keystrokes and the Excel version. The problems are listed here level by level. 5 are free without an account; Pro unlocks the rest.

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Level 1: Basics

Simple vs compound interest, future and present value of a lump sum, time to double, the rate or years to reach a goal, effective rates and continuous compounding.

  1. Simple interest earnedFree
  2. Future value of a lump sumFree
  3. Present value of a lump sumFree
  4. Simple vs compound interestFree
  5. Monthly compoundingFree
  6. Return needed to reach a goalPro
  7. Years to reach a goalPro
  8. Exact time to doublePro
  9. Effective rate from a monthly APRPro
  10. Effective rate with daily compoundingPro
  11. Continuous compoundingPro

Level 2: Annuities

Savings plans, payment streams, annuity due vs ordinary, payment to reach a goal, perpetuities, growing perpetuities and growing annuities.

  1. Future value of a savings planPro
  2. Present value of a payment streamPro
  3. Annuity due: deposits at the startPro
  4. Annuity due: value of a leasePro
  5. Monthly saving to reach a goalPro
  6. PerpetuityPro
  7. Growing perpetuityPro
  8. Growing annuityPro
  9. Deferred annuityPro
  10. How long a balance lastsPro
  11. Monthly income from savingsPro

Level 3: Loans

Mortgage and car payments, balance after k payments, total interest, interest and principal in payment k, extra payments, balloons and the APR behind a payment.

  1. Monthly mortgage paymentPro
  2. Car loan paymentPro
  3. Balance after k paymentsPro
  4. Total interest over the loanPro
  5. Interest part of payment kPro
  6. Principal part of payment kPro
  7. Payoff time with extra paymentsPro
  8. Balloon paymentPro
  9. APR implied by a paymentPro
  10. How much you can borrowPro

Level 4: Investments

NPV, IRR, payback and discounted payback, profitability index, bond price, yield to maturity, current yield, holding period return and CAGR.

  1. Net present valuePro
  2. Internal rate of returnPro
  3. Payback periodPro
  4. Discounted payback periodPro
  5. Profitability indexPro
  6. Bond pricePro
  7. Yield to maturityPro
  8. Current yieldPro
  9. Holding period returnPro
  10. Compound annual growth ratePro

Level 5: Business math

Break-even units and revenue, markup vs margin, the cost of skipping a 2/10 net 30 discount, SL, DDB and SYD depreciation, real returns, WACC and after-tax cost of debt.

  1. Break-even unitsPro
  2. Break-even revenuePro
  3. Price for a target marginPro
  4. Margin from a markupPro
  5. Cost of skipping a discountPro
  6. Straight-line book valuePro
  7. Double-declining depreciationPro
  8. Sum-of-the-years'-digitsPro
  9. Real return after inflationPro
  10. Weighted average cost of capitalPro
  11. After-tax cost of debtPro

Try the first five problem types free.

No sign-up needed for the first five, with unlimited fresh numbers. If it works for you, Pro unlocks all 53, and a free account saves your progress across devices.

Start practicing free