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bija089 [108]
3 years ago
13

ACS Industries is considering a project with an initial cost of $6.2 million. The project will produce cash inflows of $1.8 mill

ion a year for five years. The firm uses the subjective approach to assign discount rates to projects. For this project, the subjective adjustment is 2%. The firm has a pre-tax cost of debt of 6.7% and a cost of equity of 9.4%. The debt-equity ratio is 0.6 and the tax rate is 35%. What is the net present value of the project
Business
1 answer:
jek_recluse [69]3 years ago
5 0

Answer:

$0.710 million

Explanation:

The net present value of the project is the present value of future cash inflows discounted at the appropriate project discount rate minus the initial investment outlay.

The weighted average cost of capital of the firm is computed using the formula below:

WACC=(weight of equity*cost of equity)+(weight of debt*after-tax cost of debt)

debt-equity ratio=debt/equity=  0.6(which means debt is 0.6 while equity is 1 since 0.6/1=0.6)

weight of equity=equity/(equity+debt)

weight of equity=1/(1+0.6)=62.50%

weight of debt=debt/(equity+debt)

weight of debt=0.6/(1+0.6)=37.50%

cost of equity=9.4%

after-tax cost of debt=pre-tax cost of debt*(1-tax rate)

pre-tax cost of debt=6.7%

tax rate=35%

after-tax cost of debt=6.7%*(1-35%)=4.36%

WACC=(62.50%*9.4%)+(37.50%*4.36%)

WACC=7.51%

The WACC would be adjusted upward by 2% to reflect the higher level of risk of the new project

project's discount rate=7.51%+2%=9.51%

present value of a future cash flow=future cash flow/(1+discount rate)^n

n is the year in which the future cash flow is expected, it is 1 for year 1  cash flow ,2 for year 2 cash flow, and so on.

NPV=$0.710 million($710,000)

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One of two alternatives will be selected to reduce flood damage in a rural community in central Arizona. The estimates associate
pochemuha

Answer:

Since the incremental B/C of 58.21 is less greater 1, it implies that the alternative that should be selected is Channel.

Explanation:

The alternative that should be selected can be determined using the Benefit-Cost (B/C) analysis as follows:

Incremental B/C = [Incremental Flood damage savings * ((1 + r)^-3 + (1 + r)^-9 + ((1 + r)^-18)] / [Incremental initial cost + (Incremental Annual Maintenance cost * ((1 - (1 / (1 + r))^n) / r))] ............... (1)

Where:

Incremental initial cost = Channel initial cost - Retention pond initial cost = $1,500,000 - $880,000 = $620,000

Incremental Annual Maintenance cost = Channel Annual Maintenance - Retention pond Annual Maintenance = $30,000 - $92,000 = -$62,000

Incremental flood damage savings = Channel Incremental flood damage savings - Retention pond incremental flood damage savings = $625,000 - $200,000 = $425,000

r = Discount rate = 8%, or 0.08

n = number of years = 20

Substituting all the relevant values into equation (1), we have:

Incremental B/C = [425000 * ((1+0.08)^-3 + (1+0.08)^-9 + (1+0.08)^-18)] / [$620,000 - ($62,000 * ((1 - (1 / (1 + 0.08))^20) / 0.08))]

Incremental B/C = $656,340.35 / $11,274.86

Incremental B/C = 58.2127235166936

Rounding to 2 decimal places, we have:

Incremental B/C = 58.21

Since the incremental B/C of 58.21 is less greater 1, it implies that the alternative that should be selected is Channel.

8 0
3 years ago
Sally’s parents deposited $15,000 into a college savings account on her third birthday. The account had an interest rate of 9.6%
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Answer:

The correct option is yes,the $15,000 will double each 7.5 years.In 15 years ,it will double twice.

Explanation:

The 72 rule stipulates that the number of years it would take an investment to achieve accumulate a certain amount- future value, can be computed by dividing 72 by the interest rate earns by the investment

N, the number of years=72/9.6

                                      =7.5 years

Invariably,in 7.5 years' when Sally would have been 10.5 years(3 years now+7.5 years) the investment would have doubled.

By another 7.5 years when Sally would have been 18 years(10.5 years +7.5 years), the investment would have doubled twice.

The 72 rule is fast-track approach to calculating the duration of an investment.

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  3. A market economy is the one in which the investment, production and distribution are dictated by the forces of demand and supply.
  4. A traditional economic system is a result of customs, history and cultural norms which include the rules and manner of their distribution as well.
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