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iris [78.8K]
3 years ago
15

EZ Rental Car offers rental cars in an off-airport location near a major tourist destination in Florida Management would like to

better understand the behaviour of the company's costs. One of those costs is the cost of washing cars. The company operates its own car wash facility in which each rental car that is returned is thoroughly cleaned before being released for rental to another customer Management believes that the costs of operating the car wash should be related to the number of rental returns. Accordingly, the following data have been compiled:
Month Rental Returns Car Wash Costs
January 2,470 $11,713
February 2,533 $13,491
March 2,801 $12,505
April 3,114 $15,349
May 3,700 $16,934
June 5,181 $24,655
July 5,592 $22,870
August 5,668 $23,930
September 4,788 $23,460
October 4,522 $23,183
November 2,266 $11,430
December 3,055 $16,681
Required:
Using least-squares regression, estimate the fixed cost and variable cost elements of monthly car wash cost.
Fixed cost
Variable cost per unit
Business
1 answer:
trapecia [35]3 years ago
8 0

Answer:

I used an excel spreadsheet to calculate this:

the least squares regression line:

y = a + bx

y = $2,937 + 3.96x

where y = total cash wash costs and x = rental returns

fixed costs = $2,937 per month

variable cost = $3.96 per car washed            

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Calculate the opportunity cost of capital for a firm with the following capital structure: 30% preferred stock, 50% common stock
expeople1 [14]

Answer:

11.21%

Explanation:

the opportunity cost of capital can be determined by calculating the weighted average cost of capital

WACC = [weight of equity x cost of equity[ + [weight of debt x cost of debt x (1 - tax rate)] + [weight of preferred stock x cost of preferred stock]

0.3 x 10.76 + (0.5 x 13.91) + (0.2 x 0.65 x 7,87)

3.228 + 6.955 + 1.231

11.21%

5 0
3 years ago
You are interested in valuing a 2-year semi-annual corporate coupon bond using spot rates but there are no liquid strips availab
Scorpion4ik [409]

Answer:

Following are the solution to this question:

Explanation:

Assume that r_1  will be a 12-month for the spot rate:

\to 1.25 \% \times \frac{100}{2} \times 0.99 + \frac{(1.25\% \times \frac{100}{2}+100)}{(1+\frac{r_1}{2})^2}=98\\\\\to \frac{1.25}{100} \times \frac{100}{2} \times 0.99 + \frac{(\frac{1.25}{100} \times \frac{100}{2}+100)}{(1+\frac{r_1}{2})^2}=98\\\\\to \frac{1.25}{2} \times 0.99 + \frac{(\frac{1.25}{2} +100)}{(1+\frac{r_1}{2})^2}=98\\\\\to 0.61875 + \frac{( 0.625 +100)}{(\frac{2+r_1}{2})^2}=98\\\\\to 0.61875 + \frac{( 100.625)}{(\frac{2+r_1}{2})^2}=98\\\\\to 0.61875 + \frac{402.5}{(2+r_1)^2}=98\\\\

\to 0.61875 + \frac{402.5}{(2+r_1)^2}=98\\\\\to 0.61875 -98 = \frac{402.5}{(2+r_1)^2}\\\\\to -97.38125= \frac{402.5}{(2+r_1)^2}\\\\\to (2+r_1)^2= \frac{402.5}{ -97.38125}\\\\\to (2+r_1)^2= -4.13\\\\ \to r_1=3.304\%

Assume that r_2  will be a 18-month for the spot rate:

\to 1.5\% \times \frac{100}{2} \times 0.99+1.5\%  \times \frac{100}{2} \times \frac{1}{(1+ \frac{3.300\%}{2})^2}+\frac{(1.5\%  \times  \frac{100}{2}+100)}{(1+\frac{r_2}{2})^3}=97\\\\\to \frac{1.5}{100} \times \frac{100}{2} \times 0.99+\frac{1.5}{100}  \times \frac{100}{2} \times \frac{1}{(1+ \frac{\frac{3.300}{100}}{2})^2}+\frac{(\frac{1.5}{100}  \times  \frac{100}{2}+100)}{(1+\frac{r_2}{2})^3}=97\\\\

\to \frac{1.5}{2}  \times 0.99+\frac{1.5}{2}\times \frac{1}{(1+ \frac{\frac{3.300}{100}}{2})^2}+\frac{(\frac{1.5}{2} +100)}{(1+\frac{r_2}{2})^3}=97\\\\\to 0.7425+0.75 \times \frac{1}{(1+ \frac{\frac{3.300}{100}}{2})^2}+\frac{(0.75  +100)}{(1+\frac{r_2}{2})^3}=97\\\\\to 1.4925 \times \frac{1}{(1+0.0165)^2}+\frac{(100.75 )}{(1+\frac{r_2}{2})^3}=97\\\\\to 1.4925 \times \frac{1}{(1.033)}+\frac{(100.75 )}{(1+\frac{r_2}{2})^3}=97\\\\

\to 1.4925 \times 0.96+\frac{(100.75 )}{(1+\frac{r_2}{2})^3}=97\\\\\to 1.4328+\frac{(100.75 )}{(1+\frac{r_2}{2})^3}=97\\\\\to 1.4328-97= \frac{(100.75 )}{(1+\frac{r_2}{2})^3}\\\\\to -95.5672= \frac{(100.75 )}{(1+\frac{r_2}{2})^3}\\\\\to (1+\frac{r_2}{2})^3= -1.054\\\\\to r_2=3.577\%

Assume that r_3  will be a 18-month for the spot rate:

\to 1.25\% \times \frac{100}{2} \times 0.99+1.25\% \times \frac{100}{2} \times \frac{1}{(1+\frac{3.300\%}{2})^2}+1.25\%\times\frac{100}{2} \times \frac{1}{(1+\frac{3.577\%}{2})^3}+(1.25\% \times \frac{\frac{100}{2}+100}{(1+\frac{r_3}{2})^4})=96\\\\

to solve this we get r_3=3.335\%

4 0
3 years ago
Because your mother is about to retire, she wants to buy an annuity that will provide her with $75,000 of income a year for 20 y
siniylev [52]

The calculated present value of the annuity is $915,166.70.

Explanation and Solution:

Annuity is a collection of fixed payments made or earned either at the close or at the beginning of any term such that a significant initial payment or receipt may be turned into a set of comparatively minor payments or receipts. An annuity that lasts indefinitely is called perpetuity.

The formula for the present value of the annuity is given by:

P = \frac{1- (1+i)^{-n} }{i}  * R

Where;

R = annual payment = $75,000

i = interest rate = 5.25%

P = Present value of annuity

n = number of years = 20 years

P = \frac{1- (1+5.25)^{-20} }{5.25}  * 75,000

P = $915,166.70

5 0
3 years ago
In 2016, teller company sold 3,000 units at $600 each. variable expenses were $420 per unit, and fixed expenses were $270,000. t
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Assuming that you have the values for the year 2017, the break-even point would be 1500 units for the year 2017. To calculate this, we use the idea that at the breaking point, total sales is equal to the total cost or expenses made. Which would be:

selling (x) = fixed + variable (x)

x = fixed / (selling - variable)
x = 270000 / (600-420)
x = 1500 units
6 0
3 years ago
Por que debemos minimizar la escasez?
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Porque los humanos tienen recursos limitados pero deseos y necesidades ilimitados. Actividades realizadas por otros para nosotros. Recursos que están ampliamente disponibles y que nunca se pueden usar.

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4 0
3 years ago
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