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kari74 [83]
3 years ago
8

Daniel deposits $2,000 per year at the end of the year for the next 15 years into an IRA account that currently pays 7%. How muc

h will Daniel have on deposit at the end of the 15 years
Business
1 answer:
diamong [38]3 years ago
5 0

Answer:

$50,258.

Explanation:  

According to the scenario, computation of the given data are as follow:-

We can calculate the deposit amount at the end of 15 years by using following formula:-

Deposit Amount per year(PMT) = $2,000

Interest rate = 7% = 0.07

Deposit year (n) = 15 years

Future value(FVIFA) = PMT × [{(1 + interest rate)^number of years - 1} ÷ interest rate]

= $2,000 × [{(1 + 0.07)^15 - 1} ÷ 0.07]

= $2,000 × [{2.7590315 - 1} ÷ 0.07]

= $2,000 × [1.7590315/0.07]

= $2,000 × 25.129022

= $50,258

According to the analysis total deposit at the end of the year is $50,258.

         

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Answer:

<u>Cash Flow</u>

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year 2: cash used in operating activities (28,000)

<u>Receivables:</u>

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year 2: 40,000

<u>Net Income</u>

year 1: 32,000

year 2: 59,000

Explanation:

<u></u>

Cash flow:

<u>operating activities: year 1</u>

collected from client                    170,000

salaries paid to employees        (100,000)

utilities                                           (35,000)

insurance policy                           (63,000)

cash used in operating activities (28,000)

<u>operating activities: year 2</u>

collected from client                     200,000

salaries paid to employees           (110,000)

utilities                                             (55,000)

cash generated in operating activities:    35,000

receivable:

billed - collected

year 1 receivables 193,000 - 170,000 = 23,000

year 2 receivables 240,000 - 200,000 = 40,000

<u>Income Statement year 1</u>

fees revenues 193,000

salaries           (100,000)

utilities            (40,000) (incurred cost)

insurance        (21,000)  (63,000 for three years, the value of 1 year is 21,000)

net income          32,000

<u></u>

<u>Income Statement year 2</u>

fees revenues 240,000

salaries           (110,000)

utilities            (50,000) (incurred cost)

insurance        (21,000)  (63,000 for three years, the value of 1 year is 21,000)

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Answer:

BetterWorth and Outdoor Fun ROE and P/E Ratio Analysis:

1-a) Computation of 2018 ROE for each company.

ROE = Return on Equity.  It is a percentage of the net income over equity.  It is best to use the average equity, if given two balance sheets.  See explanation for further clarification.

Average Equity = Two balance sheets' equity divided by 2.

BetterWorth's Average Equity = (597,186 + 522,814) / 2 = 560,000

Outdoor Fun's Average Equity = (457,151 + 477,049) / 2 = 467,100

BetterWorth's 2018 ROE = 111,000 / 560,000 x 100 = 19.82%

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1-b) BetterWorth's appears to be generating greater returns on stockholders' equity in 2018.  It generated 19.82% as against Outdoor Fun's 19.79%, especially with the use of average equity.

2-a) Computation of 2018 P/E Ratio for each company:

P/E Ratio = Price/Earnings Ratio.  It is expressed as the market price per share divided by earnings per share.

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2-b) Investors appear to value BetterWorth more than Outdoor Fun.  This is because investors are ready to pay 16.15 times more for each unit of the earnings of BetterWorth.  For Outdoor Fun, investors are only willing to pay 14.37 times more for each unit of its earnings.

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But, what does ROE measure?  It measures a company's management effectiveness in using assets to make profits for shareholders.

Had we used the 2018 equity, Outdoor Fun would have appeared to have performed relatively better than BetterWorth over ROE.

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