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GMC is considering three mutually exclusive electronic breaking systems for its

ID: 1228547 • Letter: G

Question

GMC is considering three mutually exclusive electronic breaking systems for its cars. MARR is 12% per year and the study period is 4 years. Data for the fixture costs of the systems are as follows:

Alternatives

A

B

C

Capital Investments

$10,000

$14,000

$7,000

Annual Savings

$4,000

$5,200

$3,000

MV (After 4 years)

$3,000

$3,500

$1,500

1. Calculate the IRR for each case

Alternatives

A

B

C

Capital Investments

$10,000

$14,000

$7,000

Annual Savings

$4,000

$5,200

$3,000

MV (After 4 years)

$3,000

$3,500

$1,500

Explanation / Answer

NPVA = -10000 + 4000*r*(1-r4)/(1-r) + 3000*r4 

NPVB = -14000 + 5200*r*(1-r4)/(1-r) + 3500*r4 

NPVC = -7000 + 3000*r*(1-r4)/(1-r) + 1500*r4 

Equate NPV to zero in each case and solve for r

then IRR = (1/r) - 1   for that case

sorry I am not able to solve this, I dont know why my calculator is not solving equations..:( but they can be easily done by calculator