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`UGPW = ((1+ i )^ n -1)/( i ^2(1+ i )^ n )- n /( i (1+ i )^ n ) `

Enter a value for all fields

The **Uniform Gradient Present Worth (UGPW)** calculator computes the Uniform Gradient Present Worth factor based on the interest rate and number of cash flow periods.

**INSTRUCTIONS:** Enter the following:

**i%**- interest rate per period**n**- number of periods (e.g. cash flow periods)

**Uniform Gradient Present Worth (UGPW):** The calculator returns the UGPW factor as a real number.

The UGPW is a Discrete Compounding Discount Factor. The formula for Uniform Gradient Present Worth is:

`UGPW =((1+i)^n-1)/(i^2(1+i)^n) - n/i`

where:

- UGPW is the Uniform Gradient Present Worth factor
**i**is the interest rate**n**is the number of cash flow periods.

This equation calculates the Uniform Gradient Present Worth (UGPW) discount factor. It is a popular equation in engineering economics.

The uniform gradient present worth, UGPW, is a Discrete Compounding Discount factor.

This discount factor is used to calculate the present worth of the future value of a cash flow changing by a uniform gradient.

Present value = Future value * discount factor.

- (SPCA) Single Payment Compound Amount Factor
- (USSF) Uniform Series Sinking Fund Factor
- (SPPW) Single Payment Present Worth Factor
- (UGFW) Uniform Gradient Future Worth Factor
- (UGPW) Uniform Gradient Present Worth Factor
- (UGUS) Uniform Gradient Uniform Series Factor
- (USCA) Uniform Series Compound Amount Factor
- (USPW) Uniform Series Present Worth Factor

The discount factor computed from a uniformly increasing cash flow over a period of **n** = 5 compounding periods at an interest rate of **i** =6.5% would be approximately: 7.789

- Lindeburg, Michael R (1992). Engineer In Training Reference Manual. Professional Publication, Inc. 8th Edition.