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Nadusha1986 [10]

3 years ago

7

Romano Corporation has three operating divisions and requires a 12% return on all investments. Selected information is presented

here:
Required:
Calculate the missing amounts for each division. (Do not round intermediate calculations. Round "Margin", "Turnover" and "ROI" to 2 decimal places.)
Division X Division Y Division Z
Revenues $1,006,000
Operating income $105,600 $104,900
Operating assets $419,800 $298,200
Margin % 14.00 % %
Turnover turn(s) 1.00 turn(s) 3.00 turn(s)
ROI % % %
Residual income $28,690

1 answer:

REY [17]3 years ago

3 0

Answer:

<u>DIVISION X</u>

Revenues = $1006000

Operating income = $105600

Operating assets = $419800

Margin = (Income*100/Revenue) = $105600*100/$1006000 = 10.50%

Turnover = (Turnover/Assets) = $1006000/$419800 = 2.4 times

ROI = (income*100/assets) = 105600*100/419800 = 25.15%

Residual Income = (105600-419800*12%) = $55224

<u>DIVISION Y</u>

Revenues = $298200*1 = $298200

Operating income = $298200*14% = $41748

Operating assets = $298200

Margin = 14%

Turnover = 1 times

ROI = (income*100/assets) = $41748*100/$298200 = 14%

Residual Income = (41748-298200*12%) = $5964

<u>DIVISION Z</u>

Revenues = $635083.33 * 3 = $1905250

Operating income = $104900

Operating assets = (104900-28690)*100/12 = $635083.33

Margin = (Income*100/Revenue) = $104900*100/$1905250 = 5.51%

Turnover = 3 times

ROI = (income*100/assets = 5.51% * 3 = 16.53%

Residual Income = $28690

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If 7000 dollars is invested in a bank account at an interest rate of 7 per cent per year, Find the amount in the bank after 14 y

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2. Interest compounded quarterly = $18,493.77

3. Interest compounded Monthly = $18,598.16

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First let me state the formula for compound interest:

The future value of a certain amount which is compounded is the total amount (Principal + interest) on the amount of money, after compound interests have been applied, and this is shown below:

FV = PV $(1+\frac{r}{n} )^{n*t}$

where:

FV = Future value

PV = Present value = $7,000

r = interest rate in decimal = 0.07

n = number of compounding periods per year

t = compounding period in years = 14

For interests compounded continuously, the Future value is given as:

FV = PV × $e^{r*t}$

where

$e$ is a mathematical constant which is = 2.7183

Now to calculate each on the compounding periods one after the other:

1. Interest compounded annually:

here n (number of compounding periods annually) = 1

Therefore,

FV = 7,000 × $(1+\frac{0.07}{1})^{14}$

FV = 7,000 × $1.07^{14}$ = $18,049.74

2. Interest compounded quarterly:

here, n = 3 ( there are 4 quarters in a year)

FV = 7,000 × $(1+\frac{0.07}{4} )^{4*14}$

FV = 7,000 × $1.0175^{56}$ = $18,493.77

3. Interest compounded Monthly:

here n = 12 ( 12 months in a year)

FV = 7,000 × $(1+\frac{0.07}{12} )^{12*14}$

FV = 7,000 × $1.005833^{168}$ = $18,598.16

4. Interests compounded continuously:

FV = PV × $e^{0.07 * 14}$

FV = 7,000 × 2.66446 = $18,651.19

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