Question

In: Accounting

Consider the following investment opportunities. Period A B C D 0 -12,500 -11,000 12,500 -13,000 1...

Consider the following investment opportunities.

Period

A

B

C

D

0

-12,500

-11,000

12,500

-13,000

1

5,400

-3,000

-7,000

5,500

2

14,400

21,000

-2,000

5,500

3

7,200

13,000

4,000

8,500

a) Compute the present worth of each investment, assuming a MARR of 15%

b) Compute the future worth of each investment, assuming a MARR of 15%

c) Which project or projects are acceptable?

Solutions

Expert Solution

a) Investment A

Period 0 1 2 3
Cashflow -12500 5400 14400 7200
DF 1 0.87 0.756 0.658
Present Value -12500 4698 10886 4738

Net Present Worth = 8322

Investment B

Period 0 1 2 3
Cashflow -11000 -3000 21000 13000
DF 1 0.87 0.756 0.658
PV -11000 -2610 15876 8554

Net Present Worth = 10820

Investment C

Period 0 1 2 3
CF 12500 -7000 -2000 4000
DF 1 0.87 0.756 0.658
PV 12500 -6090 -1512 2632

Net present worth = 7530

Investment D

Period 0 1 2 3
CF -13000 5500 5500 8500
DF 1 0.87 0.756 0.658
PV -13000 4785 4158 5593

Net present worth = 1536

b) Investment A

Period 0 1 2 3
Cashflow -12500 5400 14400 7200
Compounding 1.15^3 1.15^2 1.15^1 1
Future Value -19011 7142 16560 7200

Net Future Worth = 11891

Investment B

Period 0 1 2 3
Cashflow -11000 -3000 21000 13000
Compounding 1.15^3 1.15^2 1.15^1 1
FV -16730 -3968 31500 13000

Net Future Worth = 23802

Investment C

Period 0 1 2 3
CF 12500 -7000 -2000 4000
Compounding 1.15^3 1.15^2 1.15 1
FV 19011 -9258 -2300 4000

Net future worth = 11453

Investment D

Period 0 1 2 3
CF -13000 5500 5500 8500
Compounding 1.15^3 1.15^2 1.15 1
FV -19771 7274 6325 8500

Net future worth = 2328

c) All 4 projects can be acceptable because all projects are having positive Present worth and Future worth.


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