Question

In: Finance

Show formula for immediate calc for payback (how the payback is calculated) with the answer f.   What...

Show formula for immediate calc for payback (how the payback is calculated) with the answer

f.   What is the regular payback period for these two projects?
WACC:12%
Project A
Time period 0 1 2 3 4 5 6 7
Cash flow (375) (300) (200) (100) 600 600 926 (200)
Cumulative cash flow -$375 -$675 -$875 -$975 -$375 $225 $1,151 $951
Intermediate calculation for payback
Payback using intermediate calculations 4.625
Project B
Time period 0 1 2 3 4 5 6 7
Cash flow -$575 $190 $190 $190 $190 $190 $190 $0
Cumulative cash flow -$575 -$385 -$195 -$5 $185 $375 $565 $565
Intermediate calculation for payback
Payback using intermediate calculations 3.026
Payback using PERCENTRANK 3.026 Ok because cash flows follow normal pattern.

Solutions

Expert Solution

CACULATION OF SIMPLE PPAYBACK PERIOD OF PROJECT A
Answer = A)
Years Particulars Inflow (Outflow) Cumulative Value
0 Outflow $                         -375 $                   -375.00
1 Outflow $                         -300 $                   -675.00
2 Outflow $                         -200 $                   -875.00
3 Inflow $                         -100 $                   -975.00
4 Inflow $                           600 $                   -375.00
5 Inflow $                           600 $                     225.00
6 Inflow $                           926 $                 1,151.00
7 Outflow $                         -200 $                     951.00
In year 5 all amount is collected, but whole year is not required.
So we required only $ 375 in 5th Year
Payback Period = 4 Years + $                     375.00 "/ " By $            600.00
Payback Period = 4 Years +                           0.625 Years
Payback Period = 4.625 Years
CACULATION OF SIMPLE PPAYBACK PERIOD OF PROJECT B
Years Particulars Inflow (Outflow) Cumulative Value
0 Outflow $                         -575 $                   -575.00
1 Outflow $                           190 $                   -385.00
2 Outflow $                           190 $                   -195.00
3 Inflow $                           190 $                        -5.00
4 Inflow $                           190 $                     185.00
5 Inflow $                           190 $                     375.00
6 Inflow $                           190 $                     565.00
7 Outflow $                              -   $                     565.00
In year 4 all amount is collected, but whole year is not required.
So we required only $ 5 in 4th Year
Payback Period = 3 Years + $                         5.00 "/ " By $            190.00
Payback Period = 3 Years +                           0.026 Years
Payback Period = 3.026 Years

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