Consider the three mutually exclusive alternatives below. Determine which alternative is preferable at an interest rate of 9% per year. Alternative A B C
Capital Investment $400,000 $230,000 $150,000
Annual Expense $189,000 $122,500 $134,000
Annual Revenue $309,000 $222,500 $234,000
Salvage Value $65,000 $180,000 $130,000
Life (Years) 24 5 12

Required:
a. What is the AW for project M?
b. What is the AW for project N?
c. What is the AW for project P?

a. AW, A($) = 79646

b. AW, B ($) =  29,367

c. AW, C ($) = 80738

Explanation:

Solution:

First of let's sort out the data given for all three alternatives:

Alternative A:

Capital Investment = $400,000

Annual Expense = $189,000

Annual Revenue = $309,000

Salvage Value = $65,000

Life = 24 Years

Alternative B:

Capital Investment = $230,000

Annual Expense = $122,500

Annual Revenue = $222,500

Salvage Value = $180,000

Life = 5 Years

Alternative C:

Capital Investment = $150,000

Annual Expense = $134,000

Annual Revenue = $234,000

Salvage Value = $130,000

Life = 12 Years

a.

AW, A($) = - 400,000 x A/P(9%, 24) + (309,000 - 189,000) + 65,000 x P/F(9%, 24) x A/P(9%, 24)

AW, A($) = - 400,000 x 0.103 + 120,000 + 65,000 x 0.1264 x 0.103

AW, A($) = - 41,200 + 120,000 + 846.25

AW, A($) = 79646

b.

AW, B ($) = -230,000  x A/P(9%, 5) + (222,500 - 134,000)

AW, B ($) = -230,000  x 0.2571 + (222,500 - 134,000)

AW, B ($) =  29,367

c.  

AW, C ($) = - 150,000 x A/P(9%, 12) + (234,000 - 134,000) + 130,000 x P/F(9%, 12) x A/P(9%, 12)

AW, C ($) = - 150,000 x 0.1397 + 100,000 + 130,000 x 0.3555 x 0.1397

AW, C ($) = - 20,955 + 100,000 + 1,692.50

AW, C ($) = 80738

rational decision making is a multi-step process for making choices between alternatives. the process of rational decision making favors logic, objectivity, and analysis over subjectivity and insight. the word “rational” in this context does not mean sane or clear-headed as it does in the colloquial sense.

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