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natita [175]
3 years ago
14

A family starts an education fund for their son Patrick when he is 8 years old, investing $500 on his eighth birthday, and incre

asing the yearly investment by $500 per year until Patrick is 21 years old. The fund pays 6% annual interest. What is the fund’s future worth after the deposit when Patrick is 21?
Business
1 answer:
Bas_tet [7]3 years ago
3 0

Answer:

The fund’s future worth after the deposit when Patrick is 21 is $8,713,691.01.

Explanation:

This can be calculated using the for formula for calculating the future value of a growing annuity as follows:

FW = C * (((1 + r)^n - (1 + g)^n) / (r - g))

Where;

FW = future worth or future value = ?

C = first deposit = $500

r = annual interest rate = 6%, or 0.06

g = growth rate of investment = Yearly investment increase / First deposit = $500 / $500 = 1

n = number of years = 21 - 8 + 1 = 14

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

FW = $500 * (((1 + 0.06)^14 - (1 + 1)^14) / (0.06 - 1))

FW = $500 * ((1.06^14 - 2^14) / - 0.94)

FW = $500 * (2.26090395575443 - 16,384) / -0.94)

FW = $500 * (-16,381.7390960442 / -0.94)

FW = $500 * 17,427.3820170683

FW = $8,713,691.00853415

Rounding to 2 decimal places, we have:

FW = $8,713,691.01

Therefore, the fund’s future worth after the deposit when Patrick is 21 is $8,713,691.01.

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How is the measure of occupational prestige determined? a. Employers are asked how prestigious they believe their businesses are
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Answer:

The measure of occupational prestige is determined through the process in which a nationwide sample of people is asked to evaluate a series of different jobs.

Explanation:

Occupational prestige is also known as job prestige. It is a way used by sociologists to define the social position or standing of people based on their occupation. Rather than using the personal attributes of individuals, it ranks people according to their profession or occupation. The ranks lie from 0 to 100, with 0 being lowest score and 100 the highest. These ranks are alloted to different professions by conducting nationwide surveys.

7 0
3 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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3 years ago
For a piece of legislation to proceed to the Senate, it needs a certain number of votes. Whose job is it to organize votes by me
Zigmanuir [339]

Answer:

The Whip

Explanation:

According to my research on the process that every legislation goes through in order to proceed to the senate, I can say that based on the information provided within the question it is the job of The Whip to organize the votes. Formally known as the "assistant party leader", The Whip's primary job is to keep track and sum up the number of votes for and against a piece of legislation.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

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3 years ago
Galactic Inc. is considering an investment in new equipment that will be used to manufacture a smartphone. The phone is expected
Stella [2.4K]

Answer:

24%

Explanation:

The computation of the average rate of return is shown below;

As we know that

The Average rate of return = Net income ÷ Average investment

where,

Net income is

= (Selling price per unit - totat cost per unit) × additional units sales

= ($212 - $200) × $4,500 units

= $54,000

And, the average investment is

= (cost price + equipment) ÷ 2

= ($418,500 + $31,500) ÷ 2

= $225,000

So, the average rate of return is

= $54,000 ÷ $225,000 × 100

= 24%

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3 years ago
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Answer:

Rather than the borrower paying a small rate of interest in each cycle like with a credit card, the borrower using a payday loan... doesnt make you go thourgh the cycle of interest.

Explanation:

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