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lys-0071 [83]
3 years ago
12

Although the Chen Company's milling machine is old, it is still in relatively good working order and would last for another 10 y

ears. It is inefficient compared to modern standards, though, and so the company is considering replacing it. The new milling machine, at a cost of $120,000 delivered and installed, would also last for 10 years and would produce after-tax cash flows (labor savings and depreciation tax savings) of $18,900 per year. It would have zero salvage value at the end of its life. The Project cost of capital is 9%, and its marginal tax rate is 35%. Should Chen buy the new machine? Do not round intermediate calculations. Round your answer to the nearest cent. Negative value, if any, should be indicated by a minus sign.NPV: $ _________
Business
1 answer:
lora16 [44]3 years ago
5 0

Answer:

Chen should buy the new machine since it produces a positive NPV of  $1,294

Explanation:

Summary of the Project Cash Flows is as follows :

Year 0                                  = ($120,000)

Year 1 to Year 10                 =    $18,900

The Project cost of capital = 9%

Calculation of the Project`s NPV :

<em>NPV can be calculated from this summary using a financial calculator as :</em>

<em>CF0 = ($120,000)</em>

<em>CF1  = $18,900</em>

<em>Nj     = 10</em>

<em>i       = 9 %</em>

<em>NPV =  ? </em>

<em>NPV = $1,293.73 or $1,294</em>

The Project is accepted only if it has a Positive NPV

Conclusion,

Chen should buy the new machine since it produces a positive NPV of  $1,294.

You might be interested in
What is Jensen's alpha of a portfolio comprised of 45 percent portfolio A and 55 percent of portfolio B? Portfolio Average Retur
inn [45]

Answer:

The Jensen's alpha of a portfolio comprised of 45 percent portfolio A and 55 percent of portfolio B = 2.04 %

Explanation:

<em>Solution</em>

Given that:

Now,

The Jensen’s alpha of a Portfolio is computed by applying  the formula  below:

Jensen's alpha = Portfolio Return − [Risk Free Rate of Return + ( Portfolio Beta * (Market Rate of Return − Risk Free Rate of Return ) ) ]

For the information given in the question we have the following,

The Risk free rate of return = 3. 1%

In order to find the Jensen’s alpha we have to first get the following from the information given in the question :

1. Portfolio Return

2. Portfolio Beta

3.Market Rate of Return

Thus,

(A)Calculation of Portfolio Return :

The formula for calculation of Portfolio Return is  given as:

E(RP) = ( RA * WA )+ ( RB * WB )

Where

E(RP) = Portfolio Return

RA = Average Return of Portfolio A ; WA = Weight of Investment in Portfolio A

RB = Average Return of Portfolio B ;  WB = Weight of Investment in Portfolio B

For the information given in the question we have the following:

RA = 18.9 %, WA = 45 % = 0.45, RB = 13.2 %,  WB = 55 % = 0.55

By applying the values in the formula we have

= ( 18.9 % * 0.45 ) + ( 13.2 % * 0.55 )

= 8.5050 % + 7.2600 % = 15.7650 %

(B). Calculation of Portfolio Beta:

Now,

The formula for calculating the Portfolio Beta is

ΒP = [ ( WA * βA ) + ( WB * βB ) ]

Where,

βP = Portfolio Beta

WA = Weight of Investment in Portfolio A = 45 % = 0.45 ; βA = Beta of Portfolio A = 1.92

WB = Weight of Investment in Portfolio B = 55 % = 0.55 ; βB = Beta of Portfolio B = 1.27

By Applying the above vales in the formula we have

= ( 0.45 * 1.92 )   + ( 0.55 * 1.27 )

= 0.8640 + 0.6985

= 1.5625

(C). Calculation of Market rate of return :

Now,

The Market Risk Premium = Market rate of return - Risk free rate

From the Information given in the Question we have

The Market Risk Premium = 6.8 %

Risk free rate = 3. 1 %

Market rate of return = To find

Then

By applying the above information in the Market Risk Premium formula we have

6.8 % = Market rate of Return - 3.1 %

Thus Market rate of return = 6.8 % + 3.1 % = 9.9 %

So,

From the following  information, we gave

Risk free rate of return = 3.1% ; Portfolio Return = 15.7650 %

The Portfolio Beta = 1.5625 ; Market Rate of Return = 9.9 %

Now

Applying the above values in the Jensen’s Alpha formula we have

The Jensen's alpha = Portfolio Return − [Risk Free Rate of Return + ( Portfolio Beta * (Market Rate of Return − Risk Free Rate of Return )) ]

= 15.7650 % - [ 3.1 % + ( 1.5625 * ( 9.9 % - 3.1 % ) ) ]

= 15.7650 % - [ 3.1 % + ( 1.5625 * 6.8 % ) ]                  

= 15.7650 % - [ 3.1 % + 10.6250 % ]

= 15.7650 % - 13.7250 %

= 2.0400 %

= 2.04 % ( when rounded off to two decimal places )

Therefore, the Jensen's alpha of a portfolio comprised of 45 percent portfolio A and 55 percent of portfolio B = 2.04 %

7 0
3 years ago
Marquis has a gross pay of $816. By how much will his gross pay be reduced if Marquis has the following items withheld? federal
andre [41]

Gross pay is the amount of income before taxes and deductions. The amount by which the gross pay is reduced is $174.66.

<h3>What is gross pay?</h3>

The gross pay is the amount of salary or wages that is before the taxes or other deductions. The expense of tax and deductions are subtracted from the gross pay to calculate the net pay.

The gross pay of Marquis in the given question is $816. His gross pay will be reduced by the taxes to calculate the net pay.

The amount of reduction will be the sum of all the taxes levied such as federal tax, social security tax, and so on.

Therefore the amount by which the gross pay will be reduced is:

\begin{aligned} \rm Federal\: tax &= \$92\\\\\rm Social\: security\: tax (\$816\times 6.2\%) &= \$50.592\\\\\rm Medicare\:tax (\$816\times 1.45\%) &= \$11.832\\\\\rm \end

The state tax is calculated as a percentage of federal tax. The state tax is:

\rm State \:tax (\$92\times 22\%) &= \$20.24\\

Therefore the total amount of reduction is:

\rm Total\:amount\:of\:reduction = \$92 + \$\$50.592 + \$11.832 +\$20.24\\\\\rm Total\:amount\:of\:reduction = \$174.664

Hence, the correct option is d.

Learn more about gross pay here:

brainly.com/question/8067656

6 0
2 years ago
Strategy at a ________ level is primarily focused on the products and services provided to customers and on finding ways to deve
seraphim [82]

Answer:

2. business unit

Explanation:

The business-level unit strategy refers to the strategy that mainly focused on the company products and the services that would be provided to the customers with the aim of gaining maximum profit, competitive advantage so that the company goals and the objectives could be accomplished.  

Offering them better products and services create the long term relation with the customer that would result in a sustainable competitive advantage so that it could create a standardized position in a market

8 0
3 years ago
Difference between profit and loss
inessss [21]
Profit is when the selling price is more than the cost price or revenue is more than the cost while loss is the opposite of profit.
6 0
3 years ago
Sales $ 79,000 $ 65,000 $ 61,000 $ 57,000 $ 50,000 Cost of goods sold 75,900 50,100 49,800 40,200 30,000 Dollar amounts stated a
Natalija [7]

Answer:

This is a two part question and the answer is given in two separate headings.

Explanation:

<u>Trend Percentages</u>

Year                             2021      2020     2019     2018

Sales*                            58%       30%       22%       14%

Cost of Goods Sold**   153%      67%        66%      34%

*Sales is calculated by dividing the difference (between current Sales and Base Sales Year) by the Base Sale Year 2017 * 100. Example for 2018 the percentage is 14% [(57,000 - 50,000) / 50,000 * 100]. The same way other years have been calculated.

**Cost of Goods Sold has been calculated by dividing the difference (between current Cost of Goods Sold and Base Year Cost of Goods Sold) by the Base Year Cost of Goods Sold 2017 * 100. Example for 2018 the percentage is 14% [(40,200 - 30,000) / 30,000 * 100]. The same way other years have been calculated.

<u>Trends Favourable or Unfavourable</u>

It is noted that the trend is unfavourable for the five-year period. This is because the sales have been increasing but in comparison to the Cost of Goods Sold the rise is fairly slow. As shown in the above table where sales have increased by only 58% since its inception. However, the Cost of Goods Sold has increased rapidly and by the last trending year the rise in comparison to the base year 2017 was by 153%.

8 0
3 years ago
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