# Time Value of Money

1

. A plant engineer is considering two machines to purchase:

Item                                  Model A                          Model B

Initial Cost                        \$8,000                             \$9,000

Annual Savings                \$1,750                             \$2,000

Annual Maintenance        \$200                                \$350

Expected Life                   8 years                            8 years

Salvage Value                  \$800                                \$900

The firm’s MARR is 10%. On the basis of the IRR criterion, which machine is the better choice?

Given

MARR

Initial cost

Annual savings

Annual Maintenance

Expected life

Salvage value

Model A

year 1year 2year 3year 4year 5year 6year 7

Initial cost-8000

Annual savings175017501750175017501750

Annual Maintenance-200-200-200-200-200-200

Salvage value

Net cash flow-8000155015501550155015501550

Model B

year 1year 2year 3year 4year 5year 6year 7

Initial cost-9000

Annual savings200020002000200020002000

Annual Maintenance-350-350-350-350-350-350

Salvage value

Net cash flow-9000165016501650165016501650

Given MARR = 10%, we accept project A (IRR 10%) and reject project B (IRR 8%)

22

Given: Purchasing cost of Tesla Model = \$35,000

Downpayment = \$5000

Monthly Repayment = \$ 775 for 48 Months

Find ARR

Amount of Repayments = \$775 * 48 37200

Down Payment5000

total value42200

Profit on sale=9200

ARR =(Profit/Initial cost)/Number of years(9200/35000)/2

13%

3     Period                                                  Net Cash Flow

n                            A                   B                  C                 D

0                       \$45,000       -\$15,000        -\$12,500      \$10,000

1                      -\$15,000       -\$15,000         \$5,000       -\$9,000

2                      -\$15,000       -\$15,000         \$5,000       -\$11,500

3                      -\$20,000        \$60,000         \$3,000        \$10,000

a)      Which of the projects represent simple investments?

b)      Which of the projects represent nonsimple investments?

c)      Compute the i* for each project.

d)     Which of the projects has no rate of return?

a) A simple investment is an investment in which the initial cash flow is a negative value,

in addition, it has only one sign change in the net cash flow series.

Project C is a simple investment

b) A non simple investment is one where the cahs flow has more than one sign change,

ABCD

045000-15000-1250010000

1-15000-150005000-9000

2-15000-150005000-11500

3-200060000300010000

i*-19%15%2%14%