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ElenaW [278]
3 years ago
7

Ralph buys a perpetuity due paying 500 annually. He deposits the payments into a savings account earning interest at an effectiv

e annual rate of 10%. Ten years later, before receiving the eleventh payment, Ralph sells the perpetuity based on an effective annual interest rate of 10%. Using the proceeds from the sale plus the money in the savings account, Ralph purchases an annuity due paying X per year for 20 years at an effective annual rate of 10%. Calculate X.
Business
1 answer:
Leto [7]3 years ago
3 0

Answer:

X = 1523

Explanation

Perpetuity due = (C/r) + C. Where Annual payment C =500, Annual effective interest rate = 10%

Perpetuity due = (500/10%) + 500 = 5500

Value of perpetuity due will remain same after 10 years

Money in saving account can be calculated with FV of an Annuity due formula

FV = C*(1+r) *{(1+r) ^n−1} / r

Where n = 10 years

FV = 500*(1+10%) * {(1+10%)^10 - 1} / 10%

FV = 500*1.10 * [1.10^10 - 1 / 0.10}

FV = 550 * 1.5937424601/0.10

FV = 550 * 15.937424601

FV = 8765.58353055

FV = 8766

Total proceeds = 5500 + 8766 = 14266

Now this proceed is the present value for annual payment of X calculation  . Formula of the present value (PV) of annuity due: PV = X * [1- (1+r) ^-n / r] * (1+r) : Where  PV = 14266, Annuity payment X = ?, Interest rate r = 10%, Period of annuity = 20 years.

1.10^-20

PV = X * [1- (1+r)^-n / r] * (1+r)

14266 = X * (1 - (1+10%)^-20 / 10%) * (1+10%)

14266 = X * [1 - 0.14864362802/0.10]*1.10

14266 = X * [8.5135637198*1.10]

14266 = X * 9.3649

X = 14266 / 9.3649

X = 1523.347820051469

X = 1523

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Answer:

A

Explanation:

An investment of $40,000 to generate 2,000 conversions and a CPA of $20 will help Molly with her marketing goal to generate more sales than other investment plan

4 0
3 years ago
The relationship between financial leverage and profitability Pelican Paper, Inc., and Timberland Forest, Inc., are rivals in th
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Answer:

Pelican Paper, Inc., and Timberland Forest, Inc.

Financial leverage and profitability Ratio Analysis

A. Computation of debt and coverage ratios:

1. debt ratio  = Total debt to Total assets x 100

Pelican = $1,000,000/$10,000,000 x 100

= 10%

Timberland =v$5,000,000/$10,000,000 x 100

= 50%

2. times interest earned ratio = EBIT/Interests

Pelican = $6,250,000/$100,000

= 62.5 times

Timberland = $6,250,000/$500,000

= 12.5 times

A discussion of their financial risk and ability to cover the costs:

Pelican Paper's financial leverage is 10% compared to Timberland's 50%, showing that debt creditors finance and lay claim to half of the company's assets.  This is very high and not attractive to potential investors and creditors.  Timberland has already hampered its ability to borrow more as it is highly leveraged.  Whereas Pelican Paper can meet its debt obligations and pay its interest expenses 62.5 times from current earnings, these pale in comparison with Timberland's 12.5 times, further jeopardizing its opportunities for more debt financing.

B. Calculation of the profitability ratios:

1. Operating profit margin  = EBIT/Sales x 100

Pelican Paper = $6,250,000/$25,000,000 x 100 = 25%

Timberland = $6,250,000/$25,000,000 x 100 = 25%

2. Net profit margin  = (EBIT less Interest)/Sales x 100

Pelican Paper = ($6,250,000 - $100,000)/$25,000,000 x 100

= $6,150,000/$25,000,000 x 100 = 24.6%

Timberland = ($6,250,000 - $500,000)/$25,000,000 x 100

= $5,750,000/$25,000,000 x 100 = 23%

3. Return on total assets  = EBIT/Total Assets x 100

Pelican Paper = $6,250,000/$10,000,000 x 100

= 62.5%

Timberland = $6,250,000/$10,000,000 x 100

= 62.5%

4. Return on common equity = Earnings available to Common Stockholders/Equity x 100

Pelican = $3,690,000/$9,000,000 x 100

= 41%

Timberland = $3,450,000/$5,000,000 x 100

= 69%

A discussion of their profitability relative to one another:

The two companies make the same level of operating profit margin at 25%, but Pelican's net profit margin of 24.6% is better than Timberland's 23%.  They show that Pelican's management has better ability to control expenses than Timberland's.

The returns on assets are similar for both companies, but Timberland performed better than Pelican Paper in terms of the return on equity.  This shows that Timberland with ROE of 69% is making larger returns for its common stockholders than Pelican because it is leveraging debts, whose interests are tax-deductible, and also using less equity in generating the returns.

C. The larger debt of Timberland has made it more profitable than Pelican Paper because the debt interests are deductible from EBIT before tax expense is computed and it reduces the tax burden for the company, thus making it to pay less tax and saving more profits for distribution to its stockholders.

However, this higher return to the investors in Timberland also comes with higher risks, as the investors are exposed to debt risks, higher pressure to satisfy debt creditors, heightened interference and oversight from creditors since they own half of the assets of the company, and an increased threat of business takeover in case of debt default.

Explanation:

a) Data:

Items                        Pelican Paper, INC    Timberland Forest, INC

Total assets              $10,000,000               $10,000,000

Total equity                  9,000,000                   5,000,000

Total Debt                     1,000,000                   5,000,000

Annual Interest                100,000                      500,000

Total Sales                 25,000,000                25,000,000

EBIT                              6,250,000                  6,250,000

Earnings available for  common

stockholders               3,690,000                   3,450,000

b) Ratio computation and analysis help companies to compare their performances and positions with competitors.  They can spot risks facing a company and even point out ways to address such business risks.

8 0
3 years ago
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Answer: See explanation

Explanation:

The journal entry to record the transaction for Sherman systems will be:

Oct-11

Debit Treasury Stock (5,900 × $34) =

$200,600

Credit Cash = $200,600

(To record repurchase of 5900 own shares)

Nov-01

Debit Cash (1,225 × $40) = $49,000

Credit Treasury stock (1,225 × $34) = $41,650

Credit Paid in capital-Treasury Stock = $7,350

(To record sale 1225 shares from treasury stock)

Nov-25

Debit Cash (5,900-1,225) × $29) = $135,575

Debit Paid in capital-Treasury Stock = $7,350

Debit Retained earnings = $16,025

Credit Treasury stock (5,900-1,225) × $34) = $158,950

(To record sale balance from treasury stock)

7 0
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Answer:

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Answer:

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