Question

Factor Company is planning to add a new product to its line. To manufacture this product, the company needs to buy a new machRequired 1 Required 2 Required 3 Required 4 Required 5 Determine expected net income and net cash flow for each year of thisRequired 1 Required 2 Required 3 Required 4 Required 5 Compute this machines payback period, assuming that cash flows occurRequired 1 Required 2 Required 3 Required 4 Required 5 Compute this machines accounting rate of return, assuming that incomeRequired 4 quired 1 Required 2 Required 3 Required 4 Required 5 Compute the net present value for this machine using a discou

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Answer #1

1.Straight Line Depreciation

Straight Line Depreciation for each year = [Cost of the machine – Salvage Value] / Useful life

= [$640,000 - $36,000] / 4 Years

= $604,000 / 4 Years

= $151,000 per year

2.Expected Net Income and Net cash Flow

EXPECTED NET INCOME

Amount ($)

Revenues

Sales

22,40,000

Expenses

Direct Materials

4,96,000

Direct Labor

6,88,000

Overhead

4,96,000

Straight Line Depreciation

1,51,000

Selling and administrative

1,76,000

20,07,000

Income Before Taxes

2,33,000

Income Tax Expense at 30%

69,900

Net Income

1,63,100

EXPECTED CASH FLOW

Net Income

163,100

Add: Straight Line Depreciation

151,000

Expected Cash Flow

314,100

3.Payback Period

Payback Period

Numerator

/

Denominator

=

Payback Period

Initial Investment

/

Annual Net Cash Flow

=

Payback Period

$604,000

/

$314,100

=

2.04 Years

4.Accounting Rate of return

Accounting Rate of return

Numerator

/

Denominator

=

Accounting Rate of return

Net Income

/

Annual average Investment

=

Accounting Rate of return

$163,100

/

$338,000

=

48.25%

Annual average Investment = [Initial Investment + Salvage Value] / 2

= [$640,000 + $36,000] / 2

= $676,000 / 2

= $338,000

Requirement 5 –Net Present Value

Chart values are based on

n =

4 Years

i =

7.00%

Cash flow

Select chart

Amount

PV Factor

Present Value

Annual cash flow

Present value of annuity of $1

$314,100

3.3872

$1,063,920

Residual Value

Present Value of $1

$36,000

0.7629

$27,464

Present Value of cash inflows

$1,091,384

Present Value of cash outflows

$640,000

Net Present Value

$451,384

NOTE

-The formula for calculating the Present Value Annuity Inflow Factor (PVIFA) is [{1 - (1 / (1 + r)n} / r], where “r” is the Discount Rate/Cost of capital and “n” is the number of years.

-The formula for calculating the Present Value Inflow Factor (PVIF) is [1 / (1 + r)n], where “r” is the Discount Rate/Cost of capital and “n” is the number of years.

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