Time Value of Money Concepts

VARIABLES

Compound Interest

  • PV - present value
  • FV - future value
  • i - interest rate (the nominal annual rate)
  • n - number of compounding periods in the term
  • PMT - periodic payment
  • m - compounding frequency (compounding intervals per year)
  • Y - number of years in term

Simple Interest

  • P - principal (analogous to PV)
  • S - amount (analogous to FV)
  • r - interest rate (analogous to i)
  • t - time (analogous to n)
  • I - interest earned


SIMPLE INTEREST

Present Value (PV) - Simple Interest

There are 2 sample problems that use this formula in their solution. View them here.

  (1.01)

Discount Factor - Simple Interest

There are currently no sample problems that reference this formula in their solution.

  (1.02)

Future Value (FV) - Simple Interest

There are 2 sample problems that use this formula in their solution. View them here.

  (1.03)

Accumulation Factor - Simple Interest

There are 1 sample problems that use this formula in their solution. View them here.

  (1.04)

Simple Interest Amount (I)

There are currently no sample problems that reference this formula in their solution.

  (1.05)

Time - Exact (t)

There are currently no sample problems that reference this formula in their solution.

  (1.06)

Time - Ordinary (t)

There are currently no sample problems that reference this formula in their solution.

  (1.07)


SINGLE SUM

Present Value (PV) - Single Sum

There are 14 sample problems that use this formula in their solution. View them here.

  (2.01)

Discount Factor - Compound Interest

There are 1 sample problems that use this formula in their solution. View them here.

  (2.02)

Continuous Compounding (PV) - Present Value

There are 1 sample problems that use this formula in their solution. View them here.

  (2.03)

Future Value (FV) - Single Sum

There are 13 sample problems that use this formula in their solution. View them here.

  (2.04)

Accumulation Factor - Compound Interest

There are 1 sample problems that use this formula in their solution. View them here.

  (2.05)

Continuous Compounding (FV) - Future Value

There are currently no sample problems that reference this formula in their solution.

  (2.06)

Number of Periods (n) - Single Sum

There are 2 sample problems that use this formula in their solution. View them here.

  (2.07)

Interest Rate (i) - Single Sum

There are 4 sample problems that use this formula in their solution. View them here.

  (2.08)


ANNUITY

Present Value (PV) - Ordinary Annuity

There are 6 sample problems that use this formula in their solution. View them here.

  (3.01)

Number of Periods (n) - Present Value of Annuity

There are currently no sample problems that reference this formula in their solution.

  (3.02)

Payment (PMT) - Present Value of Annuity

There are 5 sample problems that use this formula in their solution. View them here.

  (3.03)

Interest Rate (i) - PV Annuity

There are 1 sample problems that use this formula in their solution. View them here.

  (3.04)

Future Value (FV) - Ordinary Annuity

There are 4 sample problems that use this formula in their solution. View them here.

  (3.05)

Number of Periods (n) - Future Value of Annuity

There are currently no sample problems that reference this formula in their solution.

  (3.06.)

Payment (PMT) - Future Value of Annuity

There are 1 sample problems that use this formula in their solution. View them here.

  (3.07)

Interest Rate (i) - FV Annuity

There are currently no sample problems that reference this formula in their solution.

  (3.08)

Annuity Due

There are 2 sample problems that use this formula in their solution. View them here.

  (3.09)

Perpetuity (PV Annuity)

There are currently no sample problems that reference this formula in their solution.

  (3.10)


INTEREST RATE

Interest Rate (i) - Effective

There are 8 sample problems that use this formula in their solution. View them here.

  (4.01)

Continuous Compounding (i) - Max Effective Interest Rate

There are currently no sample problems that reference this formula in their solution.

  (4.02)


ALGEBRA

Natural Logarithm - Base Identity

There are currently no sample problems that reference this formula in their solution.

  (5.01)

Natural Logarithm - Inverse

There are currently no sample problems that reference this formula in their solution.

  (5.02)

Exponential Equation

There are 1 sample problems that use this formula in their solution. View them here.

  (5.03)

Fractional Exponent

There are currently no sample problems that reference this formula in their solution.

  (5.04)

Receiprocal Exponent

There are currently no sample problems that reference this formula in their solution.

  (5.05)


BONDS

Yield on Discount Basis (YDB)

There are 1 sample problems that use this formula in their solution. View them here.

  (6.01)

Bond Equivalent Yield (BEY) for t <= 182

There are 1 sample problems that use this formula in their solution. View them here.

  (6.02)