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mote1985 [20]
3 years ago
8

Suppose that a young couple has just had their first baby and they wish to insure that enough money will be available to pay for

their child's college education. They decide to make deposits into an educational savings account on each of their daughter's birthdays, starting with her first birthday. Assume that the educational savings account will return a constant 7%. The parents deposit $2000 on their daughter's first birthday and plan to increase the size of their deposits by 5% each year. Assuming that the parents have already made the deposit for their daughter's 18th birthday, then the amount available for the daughter's college expenses on her 18th birthday is closest to:A) $42,825B) $97,331C) $67,998D) $103,063
Business
1 answer:
tankabanditka [31]3 years ago
5 0

Answer:

$97,331.30

Explanation:

To calculate the amount available on the daughter's 18th birthday the following should be taken into cognisance

First, the yearly deposit increases by 5% every year, therefore year one is $2,000 but year 2 is $2,000 x1.05= $2,100 and continuing like that.

Secondly, the total deposit pre year is calculated as annual deposit for the year (1+interest rate)∧year on a descending basis.

It is therefore as follows;

Years Annual deposit    Total value of deposit including interest

1           $2,000.00            $2,000(1+0.07)∧17= $6,317.63

2           $2,100.00            $2,100(1+0.07)∧16= $6,199.54

3           $2,205.00            $2,205(1+0.07)∧15=$6,083.66

4           $2,315.25            $2,315.25(1+0.07)∧14=$5,969.95

5           $2,431.01            $2,431.01(1+0.07)∧13=$5,858.36

6           $2,552.56            $2,552.56(1+0.07)∧12=$5,748.86

7           $2,680.19            $2,680.19(1+0.07)∧11=$5,641.41

8           $2,814.20            $2,814.20(1+0.07)∧10=$5,535.96

9           $2,954.91            $2,954.91(1+0.07)∧9=$5,432.48

10           $3,102.66            $3,102.66(1+0.07)∧8=$5,330.94

11           $3,257.79            $3,257.79(1+0.07)∧7=$5,231.30

12           $3,420.68            $3,420.68(1+0.07)∧6=$5,133.52

13            $3,591.71            $3,591.71(1+0.07)∧5=$5,037.56

14            $3,771.30            $3,771.30(1+0.07)∧4=$4,943.40

15            $3,959.86            $3,959.86(1+0.07)∧3=$4,851.00

16            $4,157.86            $4,157.86(1+0.07)∧2=$4,760.33

17            $4,365.75            $4,365.75(1+0.07)∧1=$4,671.35

18            $4,584.04            $4,584.04(1+0.07)∧0=$4,584.04

Total     $56,264.77                                                $97,331.30

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3 0
3 years ago
Suppose that the inverse demand equation is p​ = 100 minus 2Q and the supply equation is p​ = 2Q. If the price is controlled at
Irina18 [472]

Answer: P =$50

Q= 25

Explanation: P= 100-2Q

P= 2Q

To get the quantity supplied Q, we have to educate both equations

100-2Q=2Q, 100=2Q+2Q

100=4Q, Q=100/4 , Q=25

To get the equilibrium price we have to substitute the value of Q which is 25 into any of the equation.

Using equation 1

P=100-2Q, P=100-2(25)

P=100-50, P=$50.

If the price is controlled at $60, then the production pays the producer this is because a commodity is not expected to be sold at the equilibrium price, price flooring is a way that government or a group control the market price of a commodity or produce by imposing a particular price on it. This is to ensure that the producers are not at loss with their production, a price floor is always higher than the equilibrium price to be effective as seen in the example given above, price floor is $60 while equilibrium price is $50.

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4 0
3 years ago
OMG Inc. has 4 million shares of common stock outstanding, 3 million shares of preferred stock outstanding, and 50 thousand bond
babymother [125]

Answer:

w_{d} = 0.3274 or, 32.74%

Explanation:

We know,

Capital Structure = Debt + Common Stock + Preferred stock

Given,

Common Stock = 4,000,000 shares

Share price = $21

Total common stock = No. of shares x share price

Total common stock = 4,000,000 shares × $21 = $84,000,000

Preferred Stock = 3,000,000 shares

Share price = $10

Total preferred stock = $10 x 3,000,000 shares

Total preferred stock = $30,000,000

Debt rate = 111% = 1.11

Debt = 50,000 bonds x $1000 par x 1.11

Debt = $55,500,000

Total Capital = $(55,500,000 + 84,000,000 + 30,000,000)

Total capital structure = $169,500,000

The weight for debt in the computation of OMG's WACC

= \frac{Debt}{Total Capital Structure}

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8 0
3 years ago
Rs.4000 becomes Rs.8000 in 10 years .What is the rate of interest ?​
kaheart [24]

Answer:

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3 0
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In the current year, Borden Corporation had sales of $2,190,000 and cost of goods sold of $1,295,000. Borden expects returns in
NNADVOKAT [17]

Answer:

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Credit: Accounts Receivables $131,400

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Credit: Inventory on Sales on Returns $77,700

Explanation:

To derive the figure for Sales Refund payable for the year

6% of $2,190,000

= \frac{6}{100} * 2,190,000 = $131,400

To derive the figure for Inventory cost on Sales Refund payable for the year

6% of $1,295,000

= \frac{6}{100} * 1,295,000 = $77,700

3 0
3 years ago
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