Processing...
`PV = "PMT" *( 1/ "r" - 1/( "r" *(1+ "r" )^t))`
Enter a value for all fields
The Present Value of an Ordinary Annuity calculator computes the present value (PV) of a fixed rate annuity based on:
- (PMT) regular annuity payment,
- (r) fixed interest rate of return per period, and
- (t) number of periods defining the duration.
Present Value (PV): The calculator computes the Present Value in U.S. dollars (USD). However, this can be automatically converted into other currency units (e.g. Russian Ruble) via the pull-down menu.
The Math / Science
The Present Value of a an Ordinary Annuity formula calculates the current lump-sum value of of a future annuity paid in fixed payments (PMT) based on a fixed interest rate (r) over a number of payments (t). This formula could be used to assess whether to receive a lump sum lottery award or to receive an annuity over time.
Personal Finance Calculators
- Monthly Loan Payment: Computes the monthly payment of a fixed interest rate loan (e.g., home mortgage or car loan).
- Credit Card Equation: Computes the number of months to pay off a credit card.
- Mortgage Affordability: Compute the amount of principal one can borrow based on monthly payment, duration and interest rate.
- Leverage Ratio: Calculates a ratio describing debt to income.
- Compound Interest: Computes the compounded interest on a fixed interest rate investment
- CAGR: Computes the compounded annual growth rate achieved on an investment.
- Rule of 72: Provides a quick estimate on time to double an investment
- Simple Interest Earned: Computes a rough estimate on interest earned over time.
- Wage Calculator: Computes the annual, monthly and weekly pay amounts base on hourly wage and hours per week.
- Current Mortgage Rates:
- 30 Year Fixed Interest Rate: 7.04 %
- 15 Year Fixed Interest Rate: 6.43 %
- 7/6 SOFR ARM: 6.98 %
Basic Investor Calculators
- Black-Scholes Equation: Compute the Call and Put Option based on the Black-Scholes equation and the stock or spot price, strike price, number of years to maturity, percent volatility and the risk-free rate.
- 30 Day Yield Equation: Computes the SEC's 30 day yield function for bond funds based on the income in the prior 30 days, accrued expenses in the prior 30 days, outstanding shares and max price per share.
- Investment Return Rate: Computes the return rate based on the beginning and end price and dividends paid.
- Inflation Adjusted Return: Computes the return rate based on the Inflation Rate and the Investment Return.
- Present Value- computes the present value of a fixed annuity.
- Future Value- computes the future value of a fixed annuity.
- Interest Rate for Future Value - computes the annual fixed interest rate required for a present value to accrue to the future value over a number of periods.
- Number of Periods Required - computes the number of periods required to achieve a future value from a present value at a fixed annual interest rate.
- Precious Metal Value - computes the current market value of gold, platinum, silver and palladium based on bullion weight and purity.
- Credit Card Equation - computes the time required to payoff a debt based on an interest rate, initial balance and monthly payment.
- Currency Conversion - computes the current value of a currency amount (e.g., $2,000 US dollars) in Euros, Great Britain Pounds, Canadian Dollars, Yuan, Yen, Rubbles, Swiss Francs, Australian Dollars, South African Rands, Brazial Reals, Mexican Pesos, Indian Rupees and U.S. dollars.