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Problem 10-10 Capital Budgeting Methods Project S has a cost of $11,000 and is expected to...

Problem 10-10
Capital Budgeting Methods

Project S has a cost of $11,000 and is expected to produce benefits (cash flows) of $3,400 per year for 5 years. Project L costs $23,000 and is expected to produce cash flows of $6,900 per year for 5 years.

  1. Calculate the two projects' NPVs, assuming a cost of capital of 14%. Round your answers to the nearest cent.

    Project S $      
    Project L $      

    Which project would be selected, assuming they are mutually exclusive?
    -Select-Project SProject LItem 3

  2. Calculate the two projects' IRRs. Round your answers to two decimal places.
    Project S %
    Project L %

    Which project would be selected, assuming they are mutually exclusive?
    -Select-Project SProject LItem 6

  3. Calculate the two projects' MIRRs, assuming a cost of capital of 14%. Round your answers to two decimal places.

    Project S %
    Project L %

    Which project would be selected, assuming they are mutually exclusive?
    -Select-Project SProject LItem 9

  4. Calculate the two projects' PIs, assuming a cost of capital of 14%. Round your answers to two decimal places.
    Project S     
    Project L     

    Which project would be selected, assuming they are mutually exclusive?
    -Select-Project SProject LItem 12

    Which project should actually be selected?
    -Select-Project SProject LItem 13

Solutions

Expert Solution

a )

Project S : - NPV

NPV = Cash flow / ( 1 +r )1 + Cash flow / ( 1 +r )2 +Cash flow / ( 1 +r )3 - Initial investment

= 3400 / ( 1.14)1 + 3400 / ( 1.14)2 +3400 / ( 1.14)3 +3400 / ( 1.14)4​​​​​​​ +3400 / ( 1.14)5​​​​​​​ - 11000

= 2982.45 +2616.18 +2294.90 +2013.07 +1765.85 - 11000

=11672.48 - 11000

= $ 672.48

Project L :

NPV =  6900 / ( 1.14)1 + 6900 / ( 1.14)2​​​​​​​ +6900 / ( 1.14)3​​​​​​​ +6900 / ( 1.14)4​​​​​​​ +6900 / ( 1.14)5​​​​​​​ - 23000

= 6052.63 + 5309.32 + 4657.30 +4085.35 +3583.64 - 23000

= 23688.26 - 23000

= $ 688.26

Project L have higher NPV . so it should be selected

b )

IRR Project S = 16.52%

IRR Project l = 15.24 %

Here Project S have higher IRR than Project L. so it should be selected

c )

MIRR Project S = 15.36 %

MIRR Project L = 14.67%

Project S have higher MIRR than Project L. so Project S should be select

d )

Profitability index = Present value of cash inflow / initial investment

Project S

Present value of cash inflow = 11672.48

Initial invetsment = 11000

Profitability index = 11672.48 / 11000

= 1.076

Project L

Present value of cash inflow = 23688.26

Initial invetsment = 23000

Profitability index = 23688.26 / 23000

= 1.02

When they are mutually exclusive Higher PI should be select. here Project S have higher profitability index.so it should be selected

in general rule any profitability index results more than 1 should be selected. here both projects PI values are higher than 1.so both projects are selected

jeff jeffy answered 2 years ago
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