EQUATIONS - ECONOMICS

Formulas                    Discount Factors
 
Factor Name (click for graphic) Converts Symbol Formula
Single Payment Compound Amount  to F given P (F/P, i%, n) (1 + i)n
Single Payment Present Worth  to P given F (P/F, i%, n) (1 + i)-n
Uniform Series Sinking Fund  to A given F (A/F, i%, n) i / [(1 + i)n -1]
Capital Recovery  to A given P (A/P, i%, n) i (1 + i)n / [(1 + i)n -1]
Uniform Series Compound Amount  to F given P (F/A, i%, n) [(1 + i)n -1]/ i
Uniform Series Present Worth  to P given A (P/A, i%, n) [(1 + i)n -1]/ [i(1 + i)n]
Uniform Gradient Present Worth  to P given G (P/G, i%, n) [(1 + i)n -1]/ [i2(1 + i)n] - n/[i(1+i)n]
Uniform Gradient Future Worth  to F given G (F/G, i%, n) [(1 + i)n -1]/ i2 - n/i
Uniform Gradient Uniform Series  to A given G (A/G, i%, n)  1/i  - n/[(1 + i)n -1]
       
    A  .....Uniform amount per interest period
    F .......Future worth, value, or amount
    G ......Uniform gradient amount per interest period
    P ......Present worth, value or amount
    n ..... at time n
    i ...... interest rate per interest period
  

Single Payment Compound Amount (future value, compound interest)
The future value (F) of an amount (P) initially invested at (n) compounding periods at interest rate (i) per period. For continuous compounding; r = nominal annual interest rate, and n = years

 
   
Single Payment Present Worth (present value)
The present value (P) of a future amount (F) based on (n) compounding periods at interest rate (i) per period. For continuous compounding; r = nominal annual interest rate, and n = years

     
Uniform Series Sinking Fund (payments)
The uniform series payment/investment (A) required to be made every period for (n) periods, at interest rate (i) per period to produce a future amount (F). For continuous compounding; r = nominal annual interest rate, and n = years
   
Uniform Series Compound Amount (Annuity)
The future amount (F) for making a uniform series payment/investment (A) every period for (n) periods, at interest rate (i) per period. For continuous compounding; r = nominal annual interest rate, and n = years
   
Capital Recovery (Amortization)
The series of uniform payment, income, or amount (A) required for n periods at interest rate (i) per period to pay off a debt or to recover an initial capital investment (P). For continuous compounding; r = nominal annual interest rate, and n = years
  
Uniform Series Present Worth (Annuity)
The present value (P) of a series of uniform payments (A) to be made for (n) periods at interest rate (i) per period.  For continuous compounding; r = nominal annual interest rate, and n = years
   
Uniform Gradient Present Worth
The present value (P) of a series of uniform gradient payments (G) to be made for (n) periods at interest rate (i) per period. 
    
Uniform Gradient Future Worth
The future value (F) of a series of gradient payments (G) to be made for (n) periods at interest rate (i) per period.   
   
Uniform Gradient Uniform Series
The uniform payment (A) of a series of gradient payments (G) to be made for (n) periods at interest rate (i) per period.   

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