## Budget Calculation Formulas

The system automatically calculates the value for a number of fields. This article describes those calculations, organized in the following sections:

## Formula Notation

The formulas use the following symbols for arithmetic processes.

• plus sign (+) indicates addition
• minus sign (- ) indicates subtraction
• asterisk (*) indicates multiplication
• forward slash (/) indicates division
• parentheses indicate partial calculations, done first

## Salary and Wages

### Base Salary

• Monthly Base Salary
• First period = system-generated or entered value
• Following periods = prior period’s Adjusted Monthly Base Salary
• Adjusted Monthly Base Salary = Monthly Base Salary * (1 + Salary Inflation Rate)
• Example
• Monthly Base Salary = \$5,000
• Salary Inflation Rate = 2% = 0.02 in decimal form
• Adjusted Monthly Base Salary = \$5,000 * (1 + 0.02) = \$5,100

### Effort

• Months = number of months in the period
• Percent Effort = entered value
• Monthly Hours = Percent Effort * 173.3 (standard hours in a month)
• Person Months = Months * Percent Effort
• Example
• Months = 12
• Percent Effort = 80% = 0.80
• Monthly Hours = 0.80 * 173.3 = 138.64
• Person Months = 12 * 0.80 = 9.6 months

### Total Requested Salary

• Total Requested Salary = Adjusted Monthly Base Salary * Person Months
• Example
• Adjusted Monthly Base Salary = \$5,100
• Person Months = 9.6
• Total Requested Salary = \$5,100 * 9.6 = \$48,960

Note: if you enabled a Salary Cap, the Period Salary Total used in calculations will be the capped amount. For a given period, the capped salary limit = Cap Amount * Percent Effort.

### Total Benefits on Salary

• Benefit Rate = system-generated or entered value
• Total Benefits on Salary = Total Requested Salary * Benefit Rate
• Example
• Benefit Rate = 24% = 0.24
• Total Requested Salary = \$48,960
• Total Benefits on Salary = \$48,960 * 0.24 = \$11,750.40

### Total Salary and Benefit for the Period

• Period Personnel Cost = Total Requested Salary + Total Benefits on Salary
• Example
• Total Requested Salary = \$48,960
• Total Benefits on Salary = \$11,750.40
• The personnel cost for the period = \$48,960 +  \$11,750.40 = \$60,710.40

### Sea Pay

If you enable Sea Pay in worksheet settings, you will have the option of adding sea pay to personnel. The Total Sea Pay and Total Benefits on Sea Pay are added to the Total Requested Salary and Total Benefits on Salary to get the overall personnel cost for the period.

• Hours of Sea Pay = entered value
• Sea Pay Hourly Rate = Adjusted Monthly Base Salary  / 173.3 (hours per standard month)
• Total Sea Pay = Hours of Sea Pay * Sea Pay Hourly Rate
• Sea Pay Benefit Rate = system value for personnel sub-object code 01-86, editable
• Total Benefits on Sea Pay = Sea Pay Benefit Rate * Total Sea Pay
• Example
• Hours of Sea Pay = 20
• Sea Pay Hourly Rate = \$5,100  / 173.3 = \$29.42
• Total Sea Pay = 20 * \$29.42 = \$588.57
• Sea Pay Benefit Rate = 22.2% = 0.222
• Total Benefits on Sea Pay = \$588.57 * 0.222 = \$130.66

### Salary & Benefit Costs Total

This row is a total of all the personnel costs, with a value for each period and for All Periods.

## Other Costs

### Common object code calculations

The following object codes use the same calculations:

• (02) Service Contracts
• (03) Other Contractual Services
• (04) Travel
• (05) Supplies and Materials
• (06) Equipment
• (10) Capital Projects

Those calculations are:

• Quantity = entered value
• Unit Price = entered value
• Inflation Rate = General Inflation Rate or entered value
• Total = Quantity * Unit Price  * (1 + Inflation Rate)
• Example
• Quantity = 50
• Unit Price = \$150
• Inflation Rate = 1% = 0.01
• Total = 50 * \$150 * (1 + 0.01) = \$7,500 * 1.01 = \$7,575

### Object code (08) Student Aid – Stipends and Tuition

• Stipends, 08-02
• Number of Stipends = entered value
• Stipend Amount = entered value
• Inflation Rate = General Inflation Rate or entered value
• Total = (Number of Stipends * Stipend Amount) * (1 + Inflation Rate)
• Example
• Number of Stipends = 2
• Stipend Amount = \$2,500
• Inflation Rate = 2% = 0.02
• Total (2 * \$2,500) * (1 + 0.02) = \$5,000 * 1.02 = \$5,100
• Tuition, 08-05
• Academic Quarter Rate = entered value
• Number of Academic Quarters = entered value
• Summer Quarter Amount = entered value
• Increase Percent (Acad. & Summer) = Tuition Inflation Rate (for the worksheet), editable
• Total Tuition Amount = (Academic Tuition Amount + Summer Quarter Amount) * (1 + Increase Percent)
• Example
• Academic Quarter Rate = \$6,000
• Number of Academic Quarters = 2
• Academic Tuition Amount = \$6,000 * 2 = \$12,000
• Summer Quarter Amount = \$5,000
• Increase Percent (Acad. & Summer) = 3% = o.o3
• Total Tuition Amount = (\$12,000 + \$5,000) * (1 + 0.03) = \$17,000 * 1.03 = \$17,5010Tuition and Fees, 08-05

### Object Code (38) Unallocated Line Items

• Amount = entered value
• Inflation Rate = General Inflation Rate, editable
• Total = Amount * (1 + Inflation Rate)
• Example
• Amount = \$25,000
• Inflation = 1% = 0.01
• Total = \$25,000 * (1 + 0.01) = \$25,000 * 1.01 = \$25,250

### Object Code (19) Applied Physics Lab – Prorated Direct Cost, 19-10

If you enable APL in the worksheet settings, a 19-10 line will display in the Other Costs section for APL Prorated Direct Cost. On the Budget Summary, if more than one worksheet has a Prorated Direct Cost (PDC) entry, then its section can be expanded to show each worksheet’s entry.

• Prorated Direct Costs = PDC Rate * (period costs included in the MTDC base, excluding any 19-xx costs)

Note: When APL is enabled on the primary worksheet, and the budget includes subaward worksheets, the PDC value on the primary worksheet is a sum of

• the PDC amount for the primary worksheet including the first \$25,000 of any 03-62 entry
• the first \$25,000 for any subaward worksheet

### Other Costs Total

This row is a total of all the other costs, with a value for each period and for All Periods.

## Worksheet and Budget Summary Totals

### Total Direct Costs

• For a worksheet: Total Direct Costs = Salary & Benefit Costs Total + Other Costs Total
• For the Budget Summary: Total Direct Costs = sum of TDC for all worksheets
• Expand the section to see additional details
• Total Direct Costs less Subrecipient F&A
• Subrecipient F&A is the amount of F&A charged by the subrecipient on subaward sub-budgets
• Equal to Total Direct Costs if there are no subawards
• Subrecipient F&A displays if the budget includes
• A subaward worksheet
• An 03-62 entry on the primary or an internal worksheet

This section displays a total and can be expanded to show additional details.

On the Budget Summary, the primary worksheet or an internal UW worksheet, the description column includes

• The worksheet name (Budget Summary only)
• The F&A Base Type which defines the object and sub-object codes included in the calculation
• The Location which is a factor in determining the F&A Rate

An F&A entry has four rows with values for each period and All Periods.

• Total Direct Costs = the same value as the Total Direct Costs row
• Costs Subject to F&A = the total direct costs for the object/sub-object codes included in the F&A Base Type
• F&A Rate = the value for each period from the worksheet settings for F&A
• F&A Costs = the Costs Subject to F&A * F&A Rate

### APL Fixed Fee

This entry displays if you have enabled Fixed Fee in the worksheet settings. A value displays for each period and All Periods. For a worksheet it’s a single row entry, for the Budget Summary there is a row for each worksheet with the worksheet name in the Description column.

• APL Fixed Fee = Fixed Fee Rate * (F&A costs + Total Direct Costs) 