Question

In: Accounting

10) Make a benefit/cost analysis by evaluating B/C for the following: a) a project with initial...

10) Make a benefit/cost analysis by evaluating B/C for the following:

a) a project with initial cost = $7,254 , annual cost= $868, annual benefits= $ 1,867, disbenefits having a present worth PW value of $1,613, interest rate= 9% and life = 5 years

b) a project with initial cost = $2,126 , annual cost= $1,806, annual benefits= $ 1,434, annual disbenefits= $408, interest rate= 3% and life = 9 years.

c) a project with total annual cost= $7,744, annual benefits= $ 9,376, annual disbenefits= $614.

d)for a project with a total PW of cost of $6,439, annual benefits of $ 1,444, annual disbenefits of $482,interest rate of 7% and life of 7 years

Solutions

Expert Solution

Solution:

a).

Particulars/Year            1            2            3            4            5 Total
Annual Cost (B)       868       868       868       868       868    4,340
Annual Benefit (C)    1,867    1,867    1,867    1,867    1,867    9,335
PVF @ 9%      0.92      0.84      0.77      0.71      0.65
PV of Annual Cost       796       731       670       615       564    3,376
PV of Annual Benefits    1,713    1,571    1,442    1,323    1,213    7,262
Total Cost = Initial Cost + PV of annual cost
                     = 7,254 + 3,376 = 10,630
Total Benefits = PV of Annual Benefits - Disbenefits
                              = 7,262 - 1,613 = 5,649
Benefit/Cost Ratio = 5,649/10,630
                                       = 0.53

b).

Particulars/Year            1            2              3            4            5            6            7              8            9 Total
Annual Cost (B)    1,806    1,806      1,806    1,806    1,806    1,806    1,806      1,806    1,806    16,254
Annual Benefit (C)    1,434    1,434      1,434    1,434    1,434    1,434    1,434      1,434    1,434    12,906
Annual Disbenefits       408       408          408       408       408       408       408          408       408      3,672
PVF @ 3%      0.97      0.94        0.92      0.89      0.86      0.84      0.81        0.79      0.77
PV of Annual Cost    1,753    1,702      1,653    1,605    1,558    1,512    1,468      1,426    1,384    14,062
PV of Annual Benefits    1,392    1,352      1,312    1,274    1,237    1,201    1,166      1,132    1,099    11,165
PV of Annual Disbenefits       409       409          409       409       409       409       409          409       409      3,680
Total Cost = Initial Cost + PV of annual cost
                     = 2,126 + 14,062 = 16,188
Total Benefits = PV of Annual Benefits - PV of Disbenefits
                              = 11,165 - 3,680 = 7,485
Benefit/Cost Ratio = 7,485/16,188
                                       = 0.46

c).

Assuming life is 1 year

Total Cost = 7,744
  
Total Benefits = Annual Benefits - Disbenefits
                              = 9,376 - 614 = 8,762
Benefit/Cost Ratio = 8,762/7,744
                                       = 1.13

d).

Particulars/Year            1            2              3            4            5            6            7 Total
Annual Benefit (C)    1,444    1,444      1,444    1,444    1,444    1,444    1,444    10,108
Annual Disbenefits       482       482          482       482       482       482       482      3,374
PVF @ 7%      0.93      0.87        0.82      0.76      0.71      0.67      0.62
PV of Annual Benefits    1,350    1,261      1,179    1,102    1,030       962       899      7,782
PV of Annual Disbenefits       483       483  

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