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Goryan [66]
3 years ago
15

Just because a​ project's payback period is relatively long​ doesn't mean it is not profitable in the long run. Consider an inve

stment in LED lights with a price tag of ​$225 comma 000. The estimated annual savings in electricity and routine maintenance is ​$40 comma 700 and the life of the LED lights is 15 years. Assume that the payback period of three years or less is desired by the investor. a. What is the simple payback period for the​ lights? b. What is the IRR of this​ investment? c. What do you conclude from Part ​(a) and Part ​(b)​?
Business
2 answers:
8_murik_8 [283]3 years ago
7 0

Answer:

(a)   investment in LED=$225,000

       Annual savings in electricity and routine maintenance =​$40,700

<em>Simple Payback Period </em>=<u>Investment Outlay </u>=  <u>$225,000 </u> =5.528 years

                                              Annual Savings       $40,700

(b)  <em>The IRR of this​ investment=    </em><em><u>rα+ NPVα    (rβ-rα)</u></em>

<em>                                                           (NPVα-NPVβ)</em>

<em>Where  IRR is Internal Rate of Return</em>

<em>              NPV  stand for Net Present Value</em>

<em>              rα=Lower discount rate chosen</em>

<em>             rβ= Higher discount rate chosen</em>

<em>            NPVα= NPV at rα</em>

<em>             NPVβ= NPV at  Rβ</em>

<em> DCF stands for Discount Factor.</em>

<em>Calculation of NPVα & NPVβ</em>

<u><em>Year          $              [email protected]%   PV               [email protected]%                PV</em></u>

0          (225,000)        1             (225,000)          1                      (225,000)    

1-15          40,700        4.1772         <u>170,014    </u>       8.1371             <u>331,178.41</u>

                                                      <em><u>  (54,986)   </u></em><u>  </u>                            <em><u>106,178.41</u></em>

<em><u /></em>

rα=10% ; rβ=15% ; NPVα= (54,986); NPVβ=106,178.41

IRR=10%+<u> (54,986) (15%-10%) </u>          =0.1+ (0.3412)(0.5)=0.2705=27.05%  

                   (54,986)-106,178.41

<em>IRR=27.05% </em>

<em>(c) Conclusions:</em>

Part ​(a): The payback calculated above is 5 years and 6 months. This did not meet payback period of three years or less desirable by the investor.

Part ​(b)​: IRR of 27.05% should be compared with the firm cost of capital. If firm cost of capital is lower than 27.05%, the project should be accepted otherwise, it should rejected.                                              

<em></em>

Explanation:

<em>Payback period</em> means the time required to get back money spent on an investment through annual savings or cash inflow.

<em>Internal Rate of Return (IRR)</em> refers to the interest rate at which the net present value of all the cash flows from an investment equal zero.

hichkok12 [17]3 years ago
6 0

<u>Solution: </u>

a. Since annual net revenue increase is equivalent i.e. any duration of the same cash flow), the plan payback period can be determined with the following formula:

\bold{Payback \ period = \frac{Investment \ required}{Net \ annual \ cash \ inflow}}

\Rightarrow \frac{\$225,000}{\$40,700}

\Rightarrow 5.5 years

The simple payback period for the lights is 5.5years

b. See the inner Return Factor value (5.5) for the current Return Factor of 15 years for \$1 panel. After this factor has been located see the corresponding Rate of Interest, It is 16\%.

c. The conclusion is both Part (a) and Part (b).

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Mauro Products distributes a single product, a woven basket whose selling price is $13 per unit and whose variable expense is $1
Ira Lisetskai [31]

Answer:

Break-even point in unit sales = 2,300 units

Break-even point in dollar sales = $29,908.97 (Approx)

New break-even point in unit sales = 2,600 units

New break-even point in dollar sales = $33,810.14 (Approx)

Explanation:

Given:

Selling price = $13 per unit

Variable expense = $11 per unit

Fixed expense = $4,600

Computation:

Break-even point in unit sales = Fixed expense / [Selling price - Variable expense]

Break-even point in unit sales = 4,600 [13-11]

Break-even point in unit sales = 2,300 units

Contribution margin = [(13-11)] / 13 = 15.38%

Break-even point in dollar sales =  Fixed expense / Contribution margin

Break-even point in dollar sales = $4,600 / 15.38%

Break-even point in dollar sales = $29,908.97 (Approx)

New break-even point in unit sales = [4,600+600][13-11]

New break-even point in unit sales = 2,600 units

New break-even point in dollar sales =  Fixed expense / Contribution margin

New break-even point in dollar sales = $5,200 / 15.38%

New break-even point in dollar sales = $33,810.14 (Approx)

4 0
3 years ago
Assume that we are in the MM world. The beta of an all-equity firm is 1.4. Suppose the firm changes its capital structure to 40
balu736 [363]

Answer:

2.3

Explanation:

Levered Beta = Unlevered Beta x (1+D/E)

D/E = Debt-to-Equity Ratio

1.4 x (1 + 04 / 0.6) = 1.4 x 1.667 = 2.3

8 0
3 years ago
Milano Pizza Club owns three identical restaurants popular for their specialty pizzas. Each restaurant has a debt–equity ratio o
algol13

Answer:

A. $516,000

B. $696,600

Explanation:

A. Calculation to to determine the value of the Company's equity

First step is to calculate the Net income

Sales1,540,000

Less: Cost of goods sold790,000

Less: General and administrative costs525,000

Less: Interest expenses53,000

Income before corporate tax 172,000

Less: Corporate tax 40% 68,800

(40%*172,000)

Net income103,200

(172,000-68,800)

Now let determine the value of the Company's equity using this formula

Value of the Company's equity

= Net income/ cost of the firm’s levered equity

Let plug in the formula

Value of the Company's equity = $103,200/0.20

Value of the Company's equity = $516,000

Therefore The Value of the Company's equity is $516,000

B. Calculation to determine the total value of Company equity

First step is to calculate the Debt

Debt equity Ratio = 0.35

Debt/Equity = 0.35

Debt/ $516,000 = 0.35

Debt = $516,000 * 0.35

Debt =$180,600

Now let determine The Company’s value using this formula

Company’s Total value = Equity + Debt

Let plug in the formula

Company’s Total value = $516,000 + $180,600

Company’s Total value = $696,600

Therefore the total value of Company equity is $696,600

7 0
2 years ago
Turnbull Co. has a target capital structure of 58% debt, 6% preferred stock, and 36% common equity. It has a before-tax cost of
OLga [1]

Answer:

Turnbull’s weighted average cost of capital (WACC) will be higher by 0.64% if it has to raise additional common equity capital by issuing new common stock instead of raising the funds through retained earnings.

Explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Turnbull Co. has a target capital structure of 58% debt, 6% preferred stock, and 36% common equity. It has a before-tax cost of debt of 8.2%, and its cost of preferred stock is 9.3%. If Turnbull can raise all of its equity capital from retained earnings, its cost of common equity will be 12.4%. However, if it is necessary to raise new common equity, it will carry a cost of 14.2%. If its current tax rate is 40%, how much higher will Turnbull’s weighted average cost of capital (WACC) be if it has to raise additional common equity capital by issuing new common stock instead of raising the funds through retained earnings? (Note: Round your intermediate calculations to two decimal places.)

The explanation to the answer is now given as follows:

Step 1: Calculation of WACC when all of its equity capital is raised from retained earnings

This can be calculated using WACC formula as follows:

WACCR = (WS * CE) + (WP * CP) + (WD * CD * (1 - T)) ………………… (1)

Where;

WACCR = Weighted average cost of capital when all of its equity capital is raised from retained earnings = ?

WS = Weight of common equity = 36%, or 0.36

WP = Weight of preferred stock = 6%, or 0.06

WD = Weight of debt = 58%, or 0.58

CE = Cost of equity = 12.4%, or 0.124

CP = Cost of preferred stock = 9.3%, 0.093

CD = Before-tax cost of debt = 8.2%, or 0.082

T = Tax rate = 40%, or 0.40

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

WACCR = (0.36 * 0.124) + (0.06 * 0.093) + (0.58 * 0.082 * (1 - 0.40))

WACCR = 0.078756, or 7.8756%

Rounding to 2 decimal places, we have:

WACCR = 7.88%

Step 2: Calculation of WACC if it raises new common equity

This can also be calculated using WACC formula as follows:

WACCE = (WS * CE) + (WP * CP) + (WD * CD * (1 - T)) ………………… (2)

Where;

WACCE = Weighted average cost of capital if it raises new common equity = ?

WS = Weight of common equity = 36%, or 0.36

WP = Weight of preferred stock = 6%, or 0.06

WD = Weight of debt = 58%, or 0.58

CE = Cost of equity = 14.2%, or 0.142 (Note: This is the only thing that has changed compared to what we have in Step 1 above.)

CP = Cost of preferred stock = 9.3%, 0.093

CD = Before-tax cost of debt = 8.2%, or 0.082

T = Tax rate = 40%, or 0.40

Substituting the values into equation (2), we have:

WACCE = (0.36 * 0.142) + (0.06 * 0.093) + (0.58 * 0.082 * (1 - 0.40))

WACCE = 0.085236, or 8.5236%

Rounding to 2 decimal places, we have:

WACCE = 8.52%

Step 3: Caculation of how much higher will Turnbull’s weighted average cost of capital (WACC) be if it has to raise additional common equity capital by issuing new common stock instead of raising the funds through retained earnings.

This can be calculated as follows:

Percentage by which WACC is higher = WACCE - WACCR

Percentage by which WACC is higher = 8.52% - 7.88%

Percentage by which WACC is higher = 0.64%

Therefore, Turnbull’s weighted average cost of capital (WACC) will be higher by 0.64% if it has to raise additional common equity capital by issuing new common stock instead of raising the funds through retained earnings.

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