System Development Approach
Sheet1
| PW comparison | |||||||
| MARR= | 15% | ||||||
| plan A | plan B | ||||||
| Years | Investment | Deosit returns | Annual lease cost $ per year | Investment | Deosit returns | Annual lease cost $ per year | |
| 1 | $15000 | $3500 | $18000 | $3100 | |||
| 2 | $3500 | $3100 | |||||
| 3 | $3500 | $3100 | |||||
| 4 | $3500 | $3100 | |||||
| 5 | $3500 | $3100 | |||||
| 6 | $15000 | $1000 | $3500 | $3100 | |||
| 7 | $3500 | $3100 | |||||
| 8 | $3500 | $3100 | |||||
| 9 | $3500 | $18000 | $2000 | $3100 | |||
| 10 | $3500 | $3100 | |||||
| 11 | $3500 | $3100 | |||||
| 12 | $15000 | $1000 | $3500 | $3100 | |||
| 13 | $3500 | $3100 | |||||
| 14 | $3500 | $3100 | |||||
| 15 | $3500 | $3100 | |||||
| 16 | $3500 | $3100 | |||||
| 17 | $3500 | $3100 | |||||
| 18 | $1000 | $3500 | $2000 | $3100 | |||
| PW 18 years | |||||||
| PwA= -15,000 - 15,000(P/F, 15%, 6) + 1,000(P/F, 15%, 6) | |||||||
| = -15,000(P/F, 15%, 12) + 1,000(P/F, 15%, 12) + 1,000(P/F, 15%, 18) | |||||||
| -3,500(P/A, 15%, 18) | |||||||
| = $-45,036 | |||||||
| PwB= -18,000 - 18,000(P/F,15%,9) + 2,000(P/F,15%,9) + 2,000(P/F,15%,18) | |||||||
| -3,100(P/A,15%,18) | |||||||
| = $-41,384 |
Sheet2
| MARR= | 15% | ||||||
| plan A | plan B | ||||||
| Years | Investment | Deosit returns | Annual lease cost $ per year | Investment | Deosit returns | Annual lease cost $ per year | |
| 1 | $15000 | $3500 | $18000 | $3100 | |||
| 2 | $3500 | $3100 | |||||
| 3 | $3500 | $3100 | |||||
| 4 | $3500 | $3100 | |||||
| 5 | $3500 | $3100 | |||||
| 6 | $15000 | $1000 | $3500 | $3100 | |||
| 7 | $3500 | $3100 | |||||
| 8 | $3500 | $3100 | |||||
| 9 | $3500 | $18000 | $2000 | $3100 | |||
| 10 | $3500 | $3100 | |||||
| 11 | $3500 | $3100 | |||||
| 12 | $15000 | $1000 | $3500 | $3100 | |||
| 13 | $3500 | $3100 | |||||
| 14 | $3500 | $3100 | |||||
| 15 | $3500 | $3100 | |||||
| 16 | $3500 | $3100 | |||||
| 17 | $3500 | $3100 | |||||
| 18 | $1000 | $3500 | $2000 | $3100 | |||
| PW comparison for 6 years | |||||||
| For a 6-year study period no cycle repeats are necessary. The PW analysis is | |||||||
| PwA= -15,000 – 3,500(P/A,15%,6) + 1,000(P/F,15%,6) | |||||||
| = $ -27,813.36 | |||||||
| PwB= -18,000 – 3,100(P/A,15%,6) + 2,000(P/F,15%,6) | |||||||
| = $ -28,867.24 | |||||||
Sheet3
| MARR= | 15% | ||||||
| plan A | plan B | ||||||
| Years | Investment | Deosit returns | Annual lease cost $ per year | Investment | Deosit returns | Annual lease cost $ per year | |
| 1 | $15000 | $3500 | $18000 | $3100 | |||
| 2 | $3500 | $3100 | |||||
| 3 | $3500 | $3100 | |||||
| 4 | $3500 | $3100 | |||||
| 5 | $3500 | $3100 | |||||
| 6 | $15000 | $1000 | $3500 | $3100 | |||
| 7 | $3500 | $3100 | |||||
| 8 | $3500 | $3100 | |||||
| 9 | $3500 | $18000 | $2000 | $3100 | |||
| 10 | $3500 | $3100 | |||||
| 11 | $3500 | $3100 | |||||
| 12 | $15000 | $1000 | $3500 | $3100 | |||
| 13 | $3500 | $3100 | |||||
| 14 | $3500 | $3100 | |||||
| 15 | $3500 | $3100 | |||||
| 16 | $3500 | $3100 | |||||
| 17 | $3500 | $3100 | |||||
| 18 | $1000 | $3500 | $2000 | $3100 | |||
| PWA comparison for 10 years | |||||||
| PwA= -15,000(P/F, 10%, 12) + 1,000(P/F, 10%, 12) + 1,000(P/F, 10%, 18) -3,500(P/A, 10%, 18) | |||||||
| = $ - 15000*0.3186+1000*0.3186+1000*0.1799-8.2014*3500 | |||||||
| = $-32985.4 | |||||||
| PwB= -18,000 - 18,000(P/F,10%,9) + 2,000(P/F,10%,9) + 2,000(P/F,10%,18) - 3,100(P/A, 10%, 18) | |||||||
| = $ -32119.14 |
Sheet4
| MARR= | 15% | ||||||
| plan A | plan B | ||||||
| Years | Investment | Deosit returns | Annual lease cost $ per year | Investment | Deosit returns | Annual lease cost $ per year | |
| 1 | $15000 | $3500 | $18000 | $3100 | |||
| 2 | $3500 | $3100 | |||||
| 3 | $3500 | $3100 | |||||
| 4 | $3500 | $3100 | |||||
| 5 | $3500 | $3100 | |||||
| 6 | $15000 | $1000 | $3500 | $3100 | |||
| 7 | $3500 | $3100 | |||||
| 8 | $3500 | $3100 | |||||
| 9 | $3500 | $18000 | $2000 | $3100 | |||
| 10 | $3500 | $3100 | |||||
| 11 | $3500 | $3100 | |||||
| 12 | $15000 | $1000 | $3500 | $3100 | |||
| 13 | $3500 | $3100 | |||||
| 14 | $3500 | $3100 | |||||
| 15 | $3500 | $3100 | |||||
| 16 | $3500 | $3100 | |||||
| 17 | $3500 | $3100 | |||||
| 18 | $1000 | $3500 | $2000 | $3100 | |||
| PWA comparison for 6 years | |||||||
| PwA= -15,000 – 3,500(P/A,10%,6) + 1,000(P/F,10%,6) = $ -29678.8 | |||||||
| PwB= -18,000 – 3,100(P/A,10%,6) + 2,000(P/F,10%,6) = $ -30372.32 |