| Cost Analysis | Page 4 | ![]() |
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| Contents |
| Present value | = | Future value | x | Discount factor |
| Discount factor | = | 1 / (1 + r)n |
| r | = | discount rate |
| n | = | year |
| Present value | = | Future value | x | Discount factor |
| Project | Problem data | Results | |||
|---|---|---|---|---|---|
| Discount rate (%) | Year | Future value ($) | Present value ($) | Less costly | |
| A | 5 | 1 | 100 | 97.07 | |
| B | 5 | 20 | 100 | 55.37 | |
| Project | Present value | ||
|---|---|---|---|
| PV formula | Discount factor table | Less costly | |
| A | $100 x (1 / (1 + 0.03) 1) = $97.09 | $100 x 0.9709 = $97.09 | |
| B | $100 x (1 / (1 + 0.03) 20) = $55.37 | $100 x 0.5537 = $55.37 | |
| Costs incurred at end of year | Costs incurred at beginning of year | ||||
|---|---|---|---|---|---|
| First year is discounted | First year is not discounted | ||||
| Year | Cost | Calculation | Value | Calculation | Value |
| 1 | $100 | $100 / (1 + 0.05)1 = $200 x 0.9524 | $95.24 | $100 / (1 + 0.05)0 = $100 x 1 | $100.00 |
| 2 | $200 | $200 / (1 + 0.05)2 = $200 x 0.9070 | $181.40 | $200 / (1 + 0.05)1 = $200 x 0.9524 | $190.48 |
| 5 | $300 | $300 / (1 + 0.05)5 = $300 x 0.7835 | $235.05 | $200 / (1 + 0.05)4 = $300 x 0.8227 | $246.81 |
| Total cost | $511.69 | $537.29 | |||
| CPI — Medical Care Component | |||
|---|---|---|---|
| Medical care commodities | Medical care services | ||
| Professional medical services |
Hospital and related services |
Health insurance |
|
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| YB | = | YP | ( | CPIB | / | CPIP | ) |
| YB | = | base year value |
| YP | = | past year value |
| CPIB | = | CPI value of base year |
| CPIP | = | CPI value of past year |
| CPI1997 | = | All-items component of the CPI for 1997 | = | 160.5 |
| CPI1999 | All-items component of the CPI for 1999 | = | 166.6 |
| Price1999 | = | Price1997 | x | (CPI1999 | / | CPI1997) |
| Price1999 | = | $15.00 | x | (166.6 | / | 160.5) |
| Price1999 | = | $15.00 | x | 1.038 | ||
| Price1999 | = | $15.57 |
| IB | = | IP | ( | WB | / | WP | ) |
| IB | = | income in base year |
| IP | = | income in the past year |
| WB | = | average hourly wage in base year |
| WP | = | average hourly wage in the past year |
| Productivity Loss1993 | = | $125 (10.83/10.01) | = | $135.24 Million |
| PV | = | SV x 1 / (1 + r)n |
| SV | = | Scrap value |
| r | = | Discount rate |
| n | = | Length of the item's useful life |
| A | = | ( 1 / r ) - ( 1 / ( r ( 1 + r )n) ) |
| r | = | Discount rate |
| n | = | Length of the item's useful life |
| EAC | = | ( PC - PV ) / A |
| PC | = | Purchase/Replacement cost of the capital item |
| PV | = | Present value of scrap value (from Step 1) |
| A | = | Annuity factor (from Step 2) |
| n | = | Length of the item's useful life |
| A | = | 1 / 0.03 - 1 / ( 0.03 ( 1 + 0.03 )10) | = | 8.5302 |
| EAC | = | ( 200,000 - 37,205 ) / 8.5302 | = | $19,085 |
| Year 1 | Year 2 | Year 3 | Year 4 | |
|---|---|---|---|---|
| Capital costs | ||||
| Building | $19,085 | $19,085 | $19,085 | $19,085 |
| Recurring costs | ||||
| Personnel | $100,000 | $100,000 | $100,000 | $100,000 |
| Supplies | $1,000 | $1,000 | $1,000 | $1,000 |
|
Total costs
|
$120,085 | $120,085 | $120,085 | $120,085 |
| Contents |
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Centers for Disease Control and Prevention
U.S. Department of Health & Human Services
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Acknowledgements
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Amanda Schofield (Content)
Ara Zohrabian, OWCD (Content)
Based on earlier, paper-based Framing &
Cost Analysis self-study guides by
Phaedra Corso, NCIPC
Odile Ferroussier, NCHSTP
Amanda Schofield
Additional acknowledgements
Vilma Carande-Kulis, OCSO
Sajal Chattopadhyay, OSI
Martin Meltzer, NCID
Contacts
Norbert Denil (Site design and production) 321-633-6150
ngd1@cdc.gov
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