Question

In: Finance

(b) Company X is currently making its capital budgeting decisions for the upcoming year. Among the...

(b) Company X is currently making its capital budgeting decisions for the upcoming
year. Among the projects they are considering, are two equipment: Equipment A
and equipment AA. Equipment A costs $50,000 but will produce expected
after-tax cash inflows of $30,000 at the end of each of the next 2 years.
Equipment AA also costs $50,000 but will produce expected after tax cash
inflows of $16,500 at the end of each of the next 4 years. Both projects have a
12% cost of capital.Assume that these are Mutual excusive projects. Using NPV,
Which project or projects should the company accept? [5]


(c) year CFX
0 (50,000)
1 20,850
2 20,850
3 20,850
4 20,850
It is now determined that the cost of capital for both projects is 14%.
Using IRR, should the Project be selected? [6]


(d) What are two (2) disadvantages of the Payback Period?

Solutions

Expert Solution

b

EquiPment A
Discount rate 12.000%
Year 0 1 2
Cash flow stream -50000 30000 30000
Discounting factor 1.000 1.120 1.254
Discounted cash flows project -50000.000 26785.714 23915.816
NPV = Sum of discounted cash flows
NPV Equitment A = 701.53
Where
Discounting factor = (1 + discount rate)^(Corresponding period in years)
Discounted Cashflow= Cash flow stream/discounting factor
Equipment AA
Discount rate 12.000%
Year 0 1 2 3 4
Cash flow stream -50000 16500 16500 16500 16500
Discounting factor 1.000 1.120 1.254 1.405 1.574
Discounted cash flows project -50000.000 14732.143 13153.699 11744.374 10486.048
NPV = Sum of discounted cash flows
NPV Equipment AA = 116.26
Where
Discounting factor = (1 + discount rate)^(Corresponding period in years)
Discounted Cashflow= Cash flow stream/discounting factor

Accept equipment A as it has higher NPV

c

Project
IRR is the rate at which NPV =0
IRR 24.14%
Year 0 1 2 3 4
Cash flow stream -50000.000 20850.000 20850.000 20850.000 20850.000
Discounting factor 1.000 1.241 1.541 1.913 2.375
Discounted cash flows project -50000.000 16795.107 13528.807 10897.735 8778.351
NPV = Sum of discounted cash flows
NPV Project = 0.000
Where
Discounting factor = (1 + discount rate)^(Corresponding period in years)
Discounted Cashflow= Cash flow stream/discounting factor

Accept project as IRR is more than cost of capital of 14%

d

Doesnot take account of time value of money

Does not take account of cash flows after the payback period


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