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Igoryamba
3 years ago
6

Your younger sister is just starting high school, and 4 years from today she should be entering college. Your father plans to st

art a college fund for her, beginning today. He will invest $6,000 per year in a mutual fund, beginning today, and he expects to earn an annual return of 9%. What is the expected value of the college fund when your sister enters college
Business
1 answer:
Gre4nikov [31]3 years ago
3 0

Answer:

$29,908.26

Explanation:

The formula for calculating future value:

FV = P (1 + r) nm

FV = Future value  

P = Present value  

R = interest rate  

m = number of compounding

N = number of years  

Present value value is the sum of discounted cash flows

Present value can be calculated using a financial calculator

Cash flow from year 0 to 3 = 6000

I = 9%

PV = 21,187.77

FV = 21,187.77 X (1,09)^4

To find the PV using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.  

3. Press compute  

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Answer:

Bramble Corp.

1. Journal Entries:

Feb. 1 Debit Cash $27,000

Credit Common Stock $18,000

Paid in excess - Common $9,000

To record the issue of 4,500 shares of common stock at $6 per share.

Mar 20: Debit Treasury Stock $6,300

Credit Cash $6,300

To record the purchase of 900 shares of treasury stock at $7 per share.

Oct. 1: Debit Dividends: Preferred $18,900

Credit Dividends payable $18,900

To record the declaration of 7% cash dividend on preferred stock.

Nov. 1: Debit Dividends payable $18,900

Credit Cash $18,900

To record dividend paid on preferred stock.

Dec. 1: Debit Dividends: Common Stock $112,050

Credit Dividends Payable $112,050

To record the declaration of dividend.

Dec. 31 Debit Dividends payable $112,050

Credit Cash $112,050

To record the payment of dividends.

Closing Journal Entries:

Dec. 31 Debit Income summary $252,000

Credit Retained Earnings $252,000

To close net income to retained earnings.

Debit Retained Earnings $130,950

Credit Dividends $18,900

Credit Dividends - Common $112,050

To close dividends to retained earnings.

2. Stockholders' Equity Section of the Balance Sheet at December 31, 2017:

Preferred Stock (7%, $100 par noncumulative, 4,500 shares authorized)

Issued and outstanding, 2,700 shares = $270,000

Common Stock ($4 stated value, 270,000 shares authorized)

Issued 229,500 shares at $4 = $918,000

Paid-in Capital In Excess of Par Value-Preferred Stock = $13,500

Paid-in Capital in Excess of Stated Value-Common Stock $441,000

Retained Earnings $740,250

Treasury Stock (5,400 common shares) ($42,300)

Total common equity       $2,070,450

Total equity = $2,340,450

3. Payout ratio:

= Total dividends/Net Income

= $130,950/$252,000

= 0.52

Earnings per share

Earnings after preferred dividends/Outstanding common stock

= $233,100/224,100

= $1.04 per share

Return on Common Stockholders' equity:

= $233,100/ $2,070,450 * 100

= 11.26%

Explanation:

a) Data

Preferred Stock (7%, $100 par noncumulative, 4,500 shares authorized)

Issued and outstanding, 2,700 shares = $270,000

Common Stock ($4 stated value, 270,000 shares authorized)

Issued 225,000 shares at $4 = $900,000

Paid-in Capital In Excess of Par Value-Preferred Stock = $13,500

Paid-in Capital in Excess of Stated Value-Common Stock $432,000

Retained Earnings $619,200

Treasury Stock (4,500 common shares) $36,000

Transaction Analysis:

Feb. 1 Cash $27,000 Common Stock, 4,500 shares $27,000

Mar 20: Treasury Stock $6,300 Cash $6,300

Oct. 1: Dividends: Preferred $18,900 Dividends payable $18,900

Nov. 1: Dividends payable $18,900 Cash $18,900

Dec. 1: Dividends: Common Stock $112,050 Dividends Payable $112,050

Dec. 31 Net Income = $252,000

Dec. 31 Dividends payable $112,050 Cash $112,050

Common Stock shares:

Beginning balance = 225,000

Treasury stock              (4,500)

Issued                            4,500

Treasury stock                (900)

Outstanding shares  224,100

Retained Earnings    $619,200

Net Income                252,000

Less Dividends:

Preferred stock            18,900

Common stock          112,050

Retained Earnings $740,250

Treasury stock (4,500 + 900) = 5,400 shares $42,300 ($36,000 + 6,300)

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