Can you explain to me how did they get all of these calculations for Payback Analysis:

Time-adjusted costs (adjusted to present value)

Cumulative time-adjusted costs over lifetime

Benefits derived from operation of new

Time-adjusted benefits (current of present value)

Cumulative time-adjusted benefits over time

Cumulative lifetime time adjusted costs + benefits

4 Cash flow description 5 Year 0 Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 418,040 Development cost: Operation & maintenance cost: $15,045 $16,000) ($17000 ($18,000 $19,000) 0.567 0.893 1.000 0.797 0.712 0.636 Discount factors for12%; Time-adjusted costs (adjusted to Cumulative time-adjusted costs 0.507 10,773 0,14 resent value over lifetime: $431 475) (3444 456,331) ($467 ,779) ($478,552) ($488,692 418,04 Benefits derived from operation of em: Discount factors fol 12%; Time-adjusted benefits (current of $0$150,000$170,000 $190 1.000 $210,000 $230,000 $250 new 797 0.636 507 $0 | 3133,950 | $135,490 | $135,280 | $133,560 | $130,410 | $126,750 30 | $133.950 | 3269,440 $404,720 | $538,280 | 3668,690 | $795,440 0.712 $0.567 13 resent value Cumulative time-adjusted benefits over lifetime: 0 2 6 Cumulative lifetime time-adjusted costs +benefits: ($418 040) ($297 525) 1747 51 611)$70 501$190138 $306 748 17 Payback Analysis $400,000 $200,000 $0 ($200,000) $400,000] ($600,000 21 23 24 25 Year