Answer:
$14,143.86 can be withdrawn each month from the account for 20 years.
Explanation:
To determine this, the first step is to use the formula for calculating the future value (FV) of ordinary annuity to calculate the FV of both stock and bond as follows:
Calculation of Future Value of Stock
FVs = M × {[(1 + r)^n - 1] ÷ r} ................................. (1)
Where,
FVs = Future value of the amount invested in stock after 25 years =?
M = Monthly investment = $880
r = Monthly interest rate = 10.8% ÷ 12 = 0.9%, or 0.009
n = number of months = 25 years × 12 months = 300
Substituting the values into equation (1), we have:
FVs = $880 × {[(1 + 0.009)^360 - 1] ÷ 0.009}
FVs = $880 × 1,522.3445923122
FVs = $1,339,663.24
Calculation of Future Value of Bond
FVd = M × {[(1 + r)^n - 1] ÷ r} ................................. (1)
Where,
FVd = Future value of the amount invested in bond after 25 years =?
M = Monthly investment = $480
r = Monthly interest rate = 6.8% ÷ 12 = 0.566666666666667%, or 0.00566666666666667
n = number of months = 25 years × 12 months = 300
Substituting the values into equation (1), we have:
FVd = $480 × {[(1 + 0.00566666666666667)^300 - 1] ÷ 0.00566666666666667}
FVd = $480 × 784.895879465925
FVd = $376,750.02
Calculation of the amount that can be withdrawn monthly for 20 years
To calculate this, the formula for calculating the present value of an ordinary annuity is used as follows:
PV = P × [{1 - [1 ÷ (1+r)]^n} ÷ r] …………………………………. (3)
Where;
PV = Combined present values of stock and bond investments after retirement = FVs + FVb = $1,339,663.24 + $376,750.02 = $1,716,413.26
P = Monthly withdrawal = ?
r = Monthly interest rate = 7.8% ÷ 12 = 0.65%, or 0.0065
n = number of months = 20 years * 12 months = 240
Substitute the values into equation (3) and solve for P to have:
PV = P × [{1 - [1 ÷ (1+r)]^n} ÷ r]
$1,716,413.26 = P × [{1 - [1 ÷ (1 + 0.0065)]^240} ÷ 0.0065]
$1,716,413.26 = P × 121.353915567094
P = $1,716,413.26 / 121.353915567094
P = $14,143.86
Therefore, $14,143.86 can be withdrawn each month from the account for 20 years.
A proposed new investment has projected sales of $543,000. Variable costs are 46 percent of sales, and fixed costs are $129,500; depreciation is $50,250. Prepare a pro forma income statement assuming a tax rate of 21 percent. What is the projected net income? (Input all amounts as positive values. Do not round intermediate calculations.)
Answer:
Pro forma Income Statement
Projected Sales $543,000
Variable costs 249,780
Contribution $293,220
Sales /Fixed costs 129,500
Depreciation 50,250
Pre-tax Income $113,470
Income Tax (21%) 23,828.70
After-tax Income $89,641.30
Explanation:
This company's pro forma income statement shows the contribution to be made by a project and the projected after-tax income. With it management can decide whether to accept the project or not. Preparing this pro forma income statement also enables management to know the impact on profits that the project will make. When the project is complete, this pro forma income statement becomes a basis for reviewing the actual income statement to understand variances.
"expects to generate free cash flows of $200,000 per year for the next five years. Beyond that time, free cash flows are expected to grow at a constant rate of 5 percent per year forever. If the firm’s average cost of capital is 15 percent, the market values of the firm’s debt and preferred stock are $400,000 and $100,000, respectively. There are 125,000 shares of stock outstanding. What is the value of the firm’s stock"
Answer:
The value of the firm's stock is $703,920
The price is $5.63 per share ($703,920/125,000 shares)
Explanation:
a) Data and Calculations:
Free cash flows = $200,000
Present value of the free cash flows = $200,000 x Annuity Factor, for 5 years at cost of capital of 15% x (1 + growth rate)
= $200,000 x 3.352 x 1.05
= $703,920
Therefore, common equity = $703,920
To calculate Company XYZ's free cash flows in their present value, they are discounted, using the present value table. The resulting amount is equivalent to the value of the common stock. The company's free cash flow is the amount that is left after settling operating expenses and capital expenditure.
"A customer opens a margin account by purchasing 300 shares of XYZ stock at $80 per share and deposits the required margin. If the stock declines in value by 25%, the customer's equity in the account will:"
Answer:
Equity will increased by 50%
Explanation:
Given:
Number of stock = 300
Per share value = $80
Stock value decline = 25%
Find:
Customer's equity will ?
Computation:
Market value = 300 × $80 = $24,000
New market value = $24000 × (100% - 25%) = $18,000
Margin = $24000 × 50% = $12,000
Credit balance = $24,000 (100% / 75%)
Credit balance = $24,000 + $12,000
Credit balance = $36,000
Equity % = [Credit balance - New market value / Credit balance]100
Equity % = [($36,000 - $18,000) / $18,000]100
Equity will increased by 50%
Lucas Corp. has a debt-equity ratio of .8. The company is considering a new plant that will cost $115 million to build. When the company issues new equity, it incurs a flotation cost of 8.5 percent. The flotation cost on new debt is 4 percent.
A. What is the initial cost of the plant if the company raises all equity externally?
B. What is the initial cost of the plant if the company typically uses 55 percent retained earnings?
C. What is the initial cost of the plant if the company typically uses 100 percent retained earnings?
Answer:
$122,475,000; $119,489,600; $117,047,000
Explanation:
Given the following :
Cost of new plant = $115m
Debt to equity ratio =. 0.8
After issuing new equity:
Floatation cost incurred (equity) = 8.5%
Floatation on new debt = 4%
Calculating weighted return of debt and equity:
Debt: = [0.8/(1 + 0.8)] × 4% = 0.0178
Equity : [1 / (1+ 0.8)] * 8.5% = 0.0472
A) all equity raised externally:
Weighted average Floatation cost:
0.0178 + 0.0472 = 0.065
Initial cash flow will the be :
(1 + 0.065) * cost of new plant
1.065 * $115,000,000 = $122,475,000
B.) company uses 55% Retained earning:
Weighted return on equity will the be :
0.0472 * (1 - 55%) = 0.02124
Weighed Floatation cost = 0.02124 + 0.0178 = 0.03904
(1+0.03904) * $115,000,000 = $119,489,600
C.) Company uses 100% Retained earnings :
Equity return will be 0%
(1 + 0.0178) * 115000000
= $117,047,000
In March, Coronado Company completes Jobs 10 and 11. Job 10 cost $29,900 and Job 11 $40,300. On March 31, Job 10 is sold to the customer for $40,300 in cash. Journalize the entries for the completion of the two jobs and the sale of Job 10. (Credit account titles are automatically indented when amount is entered. Do not indent manually.)
Answer:
Mar. 31
Dr Finished Goods Inventory 70,200
Cr Work in Process 70,200
Mar. 31
Dr Cash 40,300
Cr Sales 40,300
Mar. 31
Dr Cost of Goods Sold 29,900
Cr Finish Goods in Inventory 29,900
Explanation:
Preparation of the Journal entries for the completion of the two jobs and the sale of Job 10
1.Based on the information given we were told that Job 10 cost the amount of $29,900 while Job 11 cost the amount of $40,300 , this means that the Journal entry will be:
Mar. 31
Dr Finished Goods Inventory 70,200
Cr Work in Process 70,200
($29,900 + 40,300)
(To record completion of jobs.)
2. Based on the information given we were told that On March 31, Job 10 was sold to the customer for the amount of $40,300 in cash, this means that the Journal entry will be
Mar. 31
Dr Cash 40,300
Cr Sales 40,300
(To record sale of job.)
3. Based on the information given we were told that the sales of Job 10 cost the amount of $29,900, this means that the transaction will be recorded as:
Mar. 31
Dr Cost of Goods Sold 29,900
Cr Finish Goods in Inventory 29,900
(To record cost of job.)
Which of the following statements is false?
A) All of the governmental funds use the modified accrual basis of accounting.
B) Debt service funds are required to report accrued interest payable.
C) General fixed assets that are acquired with governmental fund resources are recorded as expenditures in the governmental funds but are displayed as capital assets in the governmental-wide financial statements.
D) Permanent funds reflect resources that are legally restricted so that principal may not be expended and earnings are used to benefit the government or its citizenry.
Answer: Debt service funds are required to report accrued interest payable.
Explanation:
The modified accrual basis of accounting is utilized for governmental funds. It should also be noted that permanent funds reflect resources that are legally restricted so that principal may not be expended and earnings are used to benefit the government or its citizenry.
Therefore, the option that debt service funds are required to report accrued interest payable is not true.
Concord Corporation has 34000 units in beginning finished goods. If sales are expected to be 140000 units for the year and Concord desires ending finished goods of 40000 units, how many units must the company produce
Answer:
146,000 units
Explanation:
The computation of units must the company produce is shown below:-
As we know that
Units sold = opening inventory + units produced - Closing inventory
So,
Units Produced = Units sold - opening inventory + Closing inventory
= 140,000 - 34,000 + 40,000
= 146,000 units
Hence, the number of units produced by the company is 146,000 units
_____is the function of coordinating the diverse activities and human resources of a company to produce a smooth-running operation.
a) planning.
b) directing.
c) controlling.
d) accounting.
Answer:
b) directing
Explanation:
The four main management functions are:
planningorganizingdirectingcontrollingOriginally, there were 5 main management functions developed by Henri Fayol (staffing was the fifth one) in the early 20th century. Fayol's management theory is still applied today, although it has been modified and updated.
Pacific Cruise Lines is a defendant in litigation involving a swimming accident on one of its three cruise ships.Required:a. The likelihood of a payment occurring is probable, and the estimated amount is $1.17 million. b. The likelihood of a payment occurring is probable, and the amount is estimated to be in the range of $0.97 to $1.17 million. c. The likelihood of a payment occurring is reasonably possible, and the estimated amount is $1.17 million. d. The likelihood of a payment occurring is remote, while the estimated potential amount is $1.17 million.
Answer:
a. The likelihood of a payment occurring is probable, and the estimated amount is $1.17 million.
THE CONTINGENT LIABILITY NEEDS TO BE RECORDED SINCE IT IS PROBABLE THAT IT WILL OCCUR AND THE AMOUNT CAN BE ESTIMATED.
b. The likelihood of a payment occurring is probable, and the amount is estimated to be in the range of $0.97 to $1.17 million.
YOU ONLY HAVE TO DISCLOSE THE LIABILITY IN THE NOTES OF THE FINANCIAL STATEMENTS SINCE THE AMOUNT CANNOT BE DETERMINED.
c. The likelihood of a payment occurring is reasonably possible, and the estimated amount is $1.17 million.
YOU ONLY HAVE TO DISCLOSE THE LIABILITY IN THE NOTES OF THE FINANCIAL STATEMENTS SINCE THE EVENT IS ONLY REASONABLY POSSIBLE AND NOT PROBABLE.
d. The likelihood of a payment occurring is remote, while the estimated potential amount is $1.17 million.
NO RECORDING NOR DISCLOSING IS REQUIRED SINCE THE POSSIBILITY OF OCCURRING IS REMOTE.
The earliest time that an activity can be completed is equal to the latest time it can begin minus the time to perform the activity. Group of answer choices True False
Answer: False
Explanation:
The earliest time of an activity os necessary in order to reduce the duration of a project. The earliest start time of an activity is the time that is earliest where an activity can begin.
The earliest finish time is the addition of the early time with the completion time of the activity.
When selecting the best alternative in a cost-benefit analysis, what are the issues to be considered?
Answer: Analyse cost, risk with impacts and project benefits.
Explanation:
The best alternative in a cost-benefit analysis situation are the following;
•The cost types should be analyzed
•Potential risk and their impacts should be looking into
•It is recommended to weigh all the risk even when there is a lot of project benefits.
Lindley Corp.'s stock price at the end of last year was $33.50, and its book value per share was $25.00. What was its market/book ratio
Answer:
1.34
Explanation:
Computation for the market/book ratio
Using this formula
Market/book ratio=Stock price/Book value per share
Let plug in the formula
Market/book ratio=$33.50/$25.00
Market/book ratio=1.34
Therefore the Market/book ratio will be 1.34.
The health care workforce during the current market-driven changes is experiencing: A. Significant expansion at professional levels B. Experimentation and variation in staffing C. Continued stability in numbers and staffing patterns D. Substantial reductions
Answer:
A. Significant expansion at professional level.
Explanation:
The hospitals provide health care facilities to the public. It is crucial place where one mistake by a doctor or other staff could lead to death of a patient. The patients coming in he hospital need to be treated carefully and timely. The professional and experience will have the skills and expertise to treat the patient carefully and diagnose the problem quickly. There are increased number of professional today than in the previous years. The education has now become more common and people understand the importance of gaining technical education before practical experiments.
Compute the current ratio, acid-test ratio, and gross margin ratio as of January 31, 2013. (Round your answers to 2 decimal places.)?
Current ratio
Acid-test ratio
Gross margin ratio
NELSON COMPANY
Unadjusted Trial Balance
January 31, 2013
Debit Credit
Cash $ 24,600
Merchandise inventory 12,500
Store supplies 5,900
Prepaid insurance 2,300
Store equipment 42,900
Accumulated depreciation—Store equipment $ 19,950
Accounts payable 13,000
J. Nelson, Capital 39,000
J. Nelson, Withdrawals 2,100
Sales 115,200
Sales discounts 2,000
Sales returns and allowances 2,250
Cost of goods sold 38,000
Depreciation expense—Store equipment 0
Salaries expense 31,300
Insurance expense 0
Rent expense 14,000
Store supplies expense 0
Advertising expense 9,300
Totals $ 187,150 $ 187,150
Rent expense and salaries expense are equally divided between selling activities and the general and administrative activities. Nelson Company uses a perpetual inventory system.
a. Store supplies still available at fiscal year-end amount to $2,800.
b. Expired insurance, an administrative expense, for the fiscal year is $1,500.
c. Depreciation expense on store equipment, a selling expense, is $1,675 for the fiscal year.
d. To estimate shrinkage, a physical count of ending merchandise inventory is taken. It shows $10,300 of inventory is still available at fiscal year-end.
Answer:
NELSON COMPANY
A. Current Ratio = Current Assets/Current Liabilities
= $38,500/$13,000
= 2.96 : 1
B. Acid-test Ratio = Current Assets - Inventory/Current Liabilities
= $24,600/$13,000
= 1.89 : 1
C. Gross margin ratio = Gross margin/Net Sales x 100
= $70,750/$110,950 x 100
= 63.77%
Explanation:
a) Data and Calculations:
NELSON COMPANY
1. Unadjusted Trial Balance as of January 31, 2013
Debit Credit
Cash $ 24,600
Merchandise inventory 12,500
Store supplies 5,900
Prepaid insurance 2,300
Store equipment 42,900
Accumulated depreciation—
Store equipment $ 19,950
Accounts payable 13,000
J. Nelson, Capital 39,000
J. Nelson, Withdrawals 2,100
Sales 115,200
Sales discounts 2,000
Sales returns and allowances 2,250
Cost of goods sold 38,000
Depreciation expense—
Store equipment 0
Salaries expense 31,300
Insurance expense 0
Rent expense 14,000
Store supplies expense 0
Advertising expense 9,300
Totals $ 187,150 $ 187,150
2. Adjusted Trial Balance as of January 31, 2013
Debit Credit
Cash $ 24,600
Merchandise inventory 10,300
Store supplies 2,800
Prepaid insurance 800
Store equipment 42,900
Accumulated depreciation—
Store equipment $ 21,625
Accounts payable 13,000
J. Nelson, Capital 39,000
J. Nelson, Withdrawals 2,100
Sales 115,200
Sales discounts 2,000
Sales returns and allowances 2,250
Cost of goods sold 40,200
Depreciation expense—
Store equipment 1,675
Salaries expense 31,300
Insurance expense 1,500
Rent expense 14,000
Store supplies expense 3,100
Advertising expense 9,300
Totals $ 188,825 $ 188,825
3. NELSON COMPANY
Income Statement for the year ended January 31, 2013:
Sales Revenue $110,950
Cost of goods sold 40,200
Gross profit $70,750
Depreciation expense—
Store equipment 1,675
Salaries expense 31,300
Insurance expense 1,500
Rent expense 14,000
Store supplies expense 3,100
Advertising expense 9,300 60,875
Net Income $ 9,875
4. Sales Revenue $115,200
Sales discount & allowances (4,250)
Net Sales Revenue $110,950
5. NELSON COMPANY
Balance Sheet as of January 31, 2013:
Assets:
Cash $ 24,600
Merchandise inventory 10,300
Store supplies 2,800
Prepaid insurance 800
Current Assets: 38,500
Store equipment 42,900
Accumulated depreciation—
Store equipment (21,625) 21,275
Total Assets $ 59,775
Liabilities + Equity:
Accounts payable $13,000
J. Nelson, Capital 39,000
J. Nelson, Withdrawals (2,100 )
Net Income $ 9,875
Total Liabilities + Equity $ 59,775
a) Nelson Company's current ratio is the measure of the company's ability to settle maturing short-term liabilities with short-term financial resources. It is is measured as the relationship between current assets and current liabilities.
b) Nelson's acid-test ratio takes away the encumbrances that can slow the conversion of current assets into cash for the settlement of current liabilities. In this case, the inventory, stores supplies, and prepaid insurance are excluded.
c) Nelson has a robust gross margin ratio of more than 60%. This means that it is able to limit the cost of goods sold to below 40%. However, management of Nelson Company is unable to control its periodic costs in order to generate reasonable net income, as it can only turn less than 9% of the sales into returns for J. Nelson.
According to the NELSON COMPANY
Current ratioA. The Current Ratio = Current Assets/Current Liabilities
Then = $38,500/$13,000
now = 2.96 : 1
B. After that Acid-test Ratio = Current Assets - Inventory/Current Liabilities
Then = $24,600/$13,000
Now = 1.89 : 1
C. When the Gross margin ratio = Gross margin/Net Sales x 100
Then = $70,750/$110,950 x 100
Now = 63.77%
1. when Unadjusted Trial Balance as of January 31, 2013
Debit Credit
Cash $ 24,600
Merchandise inventory 12,500
Store supplies 5,900
Prepaid insurance 2,300
Store equipment 42,900
Accumulated depreciation—
Store equipment $ 19,950
Accounts payable 13,000
J. Nelson, Capital 39,000
J. Nelson, Withdrawals 2,100
Sales 115,200
Sales discounts 2,000
Sales returns and allowances 2,250
Cost of goods sold 38,000
Depreciation expense—
Store equipment 0
Salaries expense 31,300
Insurance expense 0
Rent expense 14,000
Store supplies expense 0
Advertising expense 9,300
Totals $ 187,150 $ 187,150
2. when Adjusted Trial Balance as of January 31, 2013
Debit Credit
Cash $ 24,600
Merchandise inventory 10,300
Store supplies 2,800
Prepaid insurance 800
Store equipment 42,900
Accumulated depreciation—
Store equipment $ 21,625
Accounts payable 13,000
J. Nelson, Capital 39,000
J. Nelson, Withdrawals 2,100
Sales 115,200
Sales discounts 2,000
Sales returns and allowances 2,250
Cost of goods sold 40,200
Depreciation expense—
Store equipment 1,675
Salaries expense 31,300
Insurance expense 1,500
Rent expense 14,000
Store supplies expense 3,100
Advertising expense 9,300
Totals $ 188,825 $ 188,825
3. NELSON COMPANY
Income Statement for the year ended January 31, 2013:
Sales Revenue $110,950
Cost of goods sold 40,200
Gross profit $70,750
Depreciation expense—
Store equipment 1,675
Salaries expense 31,300
Insurance expense 1,500
Rent expense 14,000
Store supplies expense 3,100
Advertising expense 9,300 60,875
Net Income $ 9,875
4. Sales Revenue $115,200
Sales discount & allowances (4,250)
Net Sales Revenue $110,950
5. NELSON COMPANY
Balance Sheet as of January 31, 2013:
Assets:
Cash $ 24,600
Merchandise inventory 10,300
Store supplies 2,800
Prepaid insurance 800
Current Assets: 38,500
Store equipment 42,900
Accumulated depreciation—
Store equipment (21,625) 21,275
Total Assets $ 59,775
Liabilities + Equity:
Accounts payable $13,000
J. Nelson, Capital 39,000
J. Nelson, Withdrawals (2,100 )
Net Income $ 9,875
Total Liabilities + Equity $ 59,775
When the Nelson Company's current ratio is the measure of the company's ability to settle maturing short-term liabilities with short-term financial resources. also, It is measured as the relationship between current assets and also current liabilities.
Although when Nelson's acid-test ratio takes away the encumbrances that can slow the conversion of current assets into cash for the settlement of current liabilities. Thus, In this case, the inventory, stores supplies, and also prepaid insurance are excluded.
When Nelson has a robust gross margin ratio of more than 60%. This means that it can limit the cost of goods sold to below 40%. Thus, the management of Nelson Company is unable to control its periodic costs to generate reasonable net income, also as it can only turn less than 9% of the sales into returns for J. Nelson.
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Assuming that the standard fixed overhead rate is based on full capacity, the cost of available but unused productive capacity is indicated by the a.fixed factory overhead volume variance b.direct labor rate variance c.variable factory overhead controllable variance d.direct labor time variance
Answer: a.fixed factory overhead volume variance.
Explanation:
Fixed overhead costs are the costs that are incurred by an organization that doesn't change even when the lre is a change in the volume of production activity. The fixed overhead costs are vital in order for the effective operation of the company.
When the standard fixed overhead rate is based on full capacity, the cost of available but unused productive capacity is indicated by the a.fixed factory overhead volume variance.
Variance is the data analysis tool that helps in measuring the gap between the actual and budgeted or the standard data. The standards are set based on past records and performances. There are various types of variances such as cost variance, efficiency variance, rate variance, volume variance, and many more.
The cost of available but unused productivity capacity is indicated by fixed factory overhead volume variance.
When the standard fixed overhead rate or can be said as the fixed overhead cost is constant and remains at full capacity irrespective of the changes in the volume of production activity.
In this case, the cost of productive capacity can be determined by using the fixed factory overhead volume variance. This is because it determines the difference between the fixed cost based upon the budgets and the production capacity.
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To be registered as a broker-dealer, the Administrator typically requires the posting of a surety bond in the amount of:
Answer:
$10,000
Explanation:
Most of the time the Administrator requires a posting of a $10,000 surety bond to be registered as a broker-dealer, due to the Uniform Securities act but each separate state administrator can change this amount to what they seem fit. A surety bond makes sure that the individual assumes responsibility for that amount of debt obligation if the borrower defaults on the payment.
A company has 825 shares of $50 par value preferred stock outstanding, and the call price of its preferred stock is $63 per share. It also has 17,000 shares of common stock outstanding, and the total value of its stockholders' equity is $626,575. The company's book value per common share equals:
Answer:
Book Value Per Common Share = $33.80
Explanation:
Book Value Per Common Share = Stockholders' equity - Shares * Call Price per shares) / Shares of common stock outstanding
= ($626,575 - 825*63) / 17000
= ($626,575 - $51,975) / 17,000
= $574,600 / 17,000
= $33.80
If someone has a power of attorney to sign the purchase agreement on behalf of the seller, which of the following would be the proper way to sign?
a. Philip Adams, seller
b. Philip Adams, by Alice Jackson, his attorney in fact
c. Alice Jackson, attorney in fact for the seller
d. Philip Adams, by his attorney in fact
Answer:
b. Philip Adams, by Alice Jackson, his attorney in fact
Explanation:
A power of attorney is the legal document in which it allows someone to act on behalf of you. In this, the person has the authority to act on behalf of the other person with respect to the legal, financial matters, etc
Here the proper way to sign is the option B
Philip Adams, by Alice Jackson, his attorney in fact
Therefore all the other options are wrong
Trendy Coats is looking at financials to prepare end of year reports. Actual hours used were 4,000. Standard hours allowed were 5,000. Actual wage paid per hour was $13. The total labor flexible budget variance was ($23,000) Favorable. What was Trendy Coat’s standard price? Select one: a. $15.00 b. $12.00 c. $17.00 d. $13.50
Answer
a) $15
Explanation:
We will use the formula for Total labor variance to arrive at Standard rate.
Total labor variance = (Actual hours × Actual rate) - (Standard hours × Standard rate)
Substituting the data above into the formula, we'll have;
-$23,000 = (4,000 × $13) - (5,000 × SR)
-$23,000 = $52,000 - 5,000SR
Collect like terms
5,000SR = $52,000 + $23,000
5,000SR = $75,000
SR = $75,000 / 5,000
SR = $15
A stock had returns of 15.51 percent, 22.47 percent, −8.68 percent, and 9.43 percent over four of the past five years. The arithmetic average return over the five years was 12.71 percent. What was the stock return for the missing year?
Answer:
24.82%
Explanation:
Arithmetic average = sum of observations / number of observations
Let x = the stock return for year 5
12.71 % = (15.51% + 22.47% −8.68% + 9.43 + x) /5
Multiply both sides by 5
63.55% = (5.51% + 22.47% −8.68% + 9.43 + x)
63.55% = 38.73% + x
x = 63.55% - 38.73% = 24.82%
Red Sun Rising just paid a dividend of $2.43 per share. The company said that it will increase the dividend by 15 percent and 10 percent over the next two years, respectively. After that, the company is expected to increase its annual dividend at 4.1 percent. If the required return is 11.5 percent, what is the stock price today
Answer:
P0 = $39.76
Explanation:
The dividend discount model or DDM can be used to calculate the price of the share today. The DDM values a stock based on the present value of the expected future dividends from the stock. The price of this stock under this model can be calculated as follows,
P0 = D0 * (1+g1) / (1+r) + D0 * (1+g1) * (1+g2) / (1+r)^2 +
[ (D0 * (1+g1) * (1+g2) * (1+g3) / (r - g3)) / (1+r)^2 ]
Where,
g1 is the growth rate in the first year which is 15% g2 is the growth rate in the second year which is 10% g3 is the constant growth rate which is 4.1% r is the required rate of return P0 is the stock price today
P0 = 2.43 * (1+0.15) / (1+0.115) + 2.43 * (1+0.15) * (1+0.1) / (1+0.115)^2 +
[ (2.43 * (1+0.15) * (1+0.1) * (1+0.041) / (0.115 - 0.041)) / (1+0.115)^2 ]
P0 = $39.76
Midwest Fabricators Inc. is considering an investment in equipment that will replace direct labor. The equipment has a cost of $85,000 with a $7,000 residual value and a ten-year life. The equipment will replace one employee who has an average wage of $20,210 per year. In addition, the equipment will have operating and energy costs of $4,130 per year. Determine the average rate of return on the equipment, giving effect to straight-line depreciation on the investment. If required, round to the nearest whole percent. %
Answer:
17.89%
Explanation:
Calculation Determine the average rate of return on the equipment
Using this formula
Average rate of return =Avarage annual income /Average investment
Where,
Avarage annual income=Annual saving - Annual depreciation- Annual operating costs
Average investment= (Beginning costs + Residual value)÷2
Let plug in the formula
Average rate of return=$20,210 - ($85,000- $7,000)÷10 years-$4,130/($85,000+$7,000)÷2
Average rate of return=$20,210-($78,000÷10)-$4,180/($92,000)÷2
Average rate of return=$20,210-$7,800-$4,180/$46,000
Average rate of return=$8,230/$46,000
Average rate of return=0.1789*100
Average rate of return=17.89%
Therefore the average rate of return on the equipment will be 17.89%
Answer:
18%
Explanation:
This can be calculated as using the formula for calculating the average rate of return as follows:
Average rate of return = Average annual income / Average investment in equipment .................. (1)
To use equation (1), we first calculate the following:
Annual cost saving = $20,210
Annual depreciation = (Equipment cost - Residual value) / Useful number of years = ($85,000 - $7,000) / 10 = $7,800
Annual operating and energy costs = $4,130
Average annual income = Annual cost saving - Annual depreciation - Annual operating and energy costs = $20,210 - $7,800 - $4,130 = $8,280
Average investment in equipment = (Equipment cost + Residual value) / 2 = $46,000
Substituting the values for Average annual income and Average investment in equipment into equation (1), we have:
Average rate of return = $8,280 / $46,000 = 0.18, or 18%
Consider a 10 year bond with a face value of $1000 that has a coupon rate of 5.3%, with semiannual payments. What is the coupon payment for this bond?
Answer:
$26.5
Explanation:
the question says that the bond has a face value equal to 1000 dollars
coupon rate = 5.3%
and that the bond pays semiannually. semiannually means that it pays after 6 months.
semi annual coupon payment formula is given by = coupon rate/2 multiplied by face value
= 5.3%/2 multiplied by 1000
= 0.0265 x 1000
= $26.5
therefore from this calculation, the coupon payment on the bond is $26.5 dollars in every six months or semiannually.
Och, Inc., is considering a project that will result in initial aftertax cash savings of $1.75 million at the end of the first year, and these savings will grow at a rate of 2 percent per year indefinitely. The firm has a target debt-equity ratio of .8, a cost of equity of 11.5 percent, and an aftertax cost of debt of 4.3 percent. The cost-saving proposal is somewhat riskier than the usual projects the firm undertakes; management uses the subjective approach and applies an adjustment factor of +3 percent to the cost of capital for such risky projects. What is the maximum initial cost the company would be willing to pay for the project?
Answer:
$18,191,268.19
Explanation:
the company's WACC = (weight of equity x Re) + (weight of debt x after tax cost of debt) = (0.6 x 11.5%) + (0.4 x 4.3%) = 6.9% + 1.72% = 8.62%
discount rate adjustment factor = 8.62% + 3% = 11.62%
to determine the value of the project:
$1,750,000 / (11.62% - 2%) = $1,750,000 / 9.62% = $18,191,268.19
If the initial outlay is $18,191,268.19, then the project's NPV = $0. This is the maximum amount that the firm should be willing to invest in this project.
Purvis Manufacturing, which produces a single product, has prepared the following standard cost sheet for one unit of the product. Direct materials (6 pounds at $2 per pound) $12 Direct labor (2 hours at $12 per hour) $24 During the month of April, the company manufactures 300 units and incurs the following actual costs.
Direct materials purchased and used (1,850 pounds) $4,070
Direct labor (620 hours) $7,130
Compute the total, price, and quantity variances for materials and labor. Identify whether the variance is favorable or unfavorable?
Answer:
1. Actual Quantity = 1,850 pounds
Actual materials cost = $4,070
Standard rate per pound = $2
Standard Quantity = 6 pounds per unit * 300 units
Standard Quantity = 1,800
Standard materials cost = Standard Quantity * Standard rate per pound
Standard materials cost = 1,800 * $2
Standard materials cost = $3,600
1a. Total Materials Variance = Actual materials cost - Standard materials cost
Total Materials Variance = $4,070 - $3,600
Total Materials Variance = $470 Unfavorable
1b. Materials Price Variance = Actual materials cost - Actual Quantity * Standard rate per pound
Materials Price Variance = $4,070 - 1,850 * $2
Materials Price Variance = $370 Unfavorable
1c. Materials Quantity Variance = Standard rate per pound * (Actual Quantity - Standard Quantity)
Materials Quantity Variance = $2.00 * (1,850 - 1,800)
Materials Quantity Variance = $100 Unfavorable
2. Actual labor hours = 620
Actual labor cost = $7,130
Standard rate per hour = $12
Standard labor hours = 2 hours per unit * 300 units
Standard labor hours = 600
Standard labor cost = Standard labor hours * Standard rate per hour
Standard labor cost = 600 * $12
Standard labor cost = $7,200
2a. Total Labor Variance = Actual Labor cost - Standard Labor cost
Total Labor Variance = $7,130 - $7,200
Total Labor Variance = $70 Favorable
2b. Labor Price Variance = Actual Labor cost - Actual labor hours * Standard rate per hour
Labor Price Variance = $7,130 - 620 * $12
Labor Price Variance = $310 Favorable
2c. Labor Quantity Variance = Standard rate per hour * (Actual labor hours - Standard labor hours)
Labor Quantity Variance = $12.00 * (620 - 600)
Labor Quantity Variance = $240 Unfavorable
Which method of evaluating capital investment proposals uses present value concepts to compute the rate of return from the net cash flows
Answer:
Internal rate of return
Explanation:
The internal rate of return is that return in which the net present value equivalent to zero
i.e.
Net present value = 0
That means
Initial investment = Present value of cash inflows after charging the discounting factor like 10% 12% etc
So as per the given situation, the internal rate of return is the correct answer
Motorcycle Manufacturers, Inc. projected sales of 78,000 machines for the year. The estimated January 1 inventory is 6,500 units, and the desired December 31 inventory is 6,000 units. What is the budgeted production (in units) for the year
Answer:
77,500 units
Explanation:
Projected sales = 78,000 machines
Opening inventory = 6,500 units
Closing inventory = 6,000 units
We will use the formulae below to calculate Budgeted production in unit.
Closing inventory = Opening inventory + Production - Sales
6,000 = 6,500 + Production - 78,000
Production = 6,000 - 6,500 + 78,000
= 77,500 units.
Therefore, Budgeted production is 77,500 units
The percent change in nominal gross domestic product (GDP) minus the percent change in price level equals
Answer:
Real GDP
Explanation:
Nominal GDP less percent change in price levels equals to real GDP
Nominal GDP is GDP calculated using current year prices
Real GDP is GDP using base year prices. it has been adjusted for inflation.
Gross domestic product is the total sum of final goods and services produced in an economy within a given period which is usually a year
A $5,000 bond with a coupon rate of 5.1% paid semiannually has eight years to maturity and a yield to maturity of 8.9%. If interest rates rise and the yield to maturity increases to 9.2%, what will happen to the price of the bond?
Answer:
The bond's market price will decrease by $72.08 (1.83%) from $3,928.89 to $3,856.81.
Explanation:
bond's current market price:
$5,000 / (1 + 4.45%)¹⁶ = $2,491.35
$127.50 x 11.27483 (PV annuity factor, 4.45%, 16 periods) = $1,437.54
current market price = $3,928.89
if interests rise and YTM increases to 9.2%, then new market price:
$5,000 / (1 + 4.6%)¹⁶ = $2,434.80
$127.50 x 11.15305 (PV annuity factor, 4.45%, 16 periods) = $1,422.01
current market price = $3,856.81
rue or False: The following statement accurately describes how firms make decisions related to issuing new common stock. Taking flotation costs into account will reduce the cost of new common stock.
Answer: False
Explanation:
Flotation costs are the costs that are incurred by a company whenever the company is issuing new securities. They are fee that are charged by the financial institutions for services such as legal and underwriting services.
Flotation costs are additional costs associated that are incurred when a new common stock is raised.
