Answer:
a. Compute the ratio of times-interest-earned.
times-interest-earned = EBIT / interest expense
EBIT = $4,839,900interest expense = $2,210,000times-interest-earned = $4,839,900 / $2,210,000 = 2.19
b. Compute the debt-to-equity ratio.
debt-to-equity ratio = total liabilities / total stockholders' equity
total liabilities = $900,000total stockholders' equity = $400,000debt-to-equity ratio = $900,000 / $400,000 = 2.25
A stock had returns of 9.62 percent, −14.65 percent, 19.85 percent, 25.35 percent, and 7.65 percent over the past five years. What was the geometric average return for this stock?
Answer:
The geometric average return for this stock was 8.64%.
Explanation:
Geometric average return refers to the return which will result in the correct compounded dollars at the end of the time period.
Geometric average return can be computed using the following formula:
Geometric average return = {[(1 + r1)(1 + r2) ... (1 + rn)]^(1/n)} - 1 ......... (1)
Where r is returns from year 1 to year n.
For the stock in the question, we have:
r1 = 9.62%, 0.0962
r2 = -14.65%, or -0.1465
r3 = 19.85%, or 0.1985
r4 = 25.35%, or 0.2535
r5 = 7.65%, or 0.0765
n = 5
Substituting the values into equation (1), we have:
Geometric average return = {[(1 + 0.0962)(1 - 0.1465)(1 + 0.1985)(1 + 0.2535)(1 + 0.0765)]^(1/5)} - 1
Geometric average return = {1.51310732605096^0.20} - 1
Geometric average return = 0.0864, or 8.64%
Therefore, the geometric average return for this stock was 8.64%.
Expenses that are not easily associated with a specific department, and which are incurred for the joint benefit of more than one department, are:
Answer:Indirect Expenses
Explanation: Indirect Expenses are those expenses which are not directly related to the product manufactured or service rendered by a company but are generally incurred in the operating and running of a business and cannot be traced to a particular department because the benefits are enjoyed collectively-The reason why its expenses are usually shared among departments or sectors.
Examples of indirect expenses include Rent, salaries to employees, legal charges, insurance of building, depreciation, printing charges, office expenses, telephone bills, advertising, marketing, stationery etc.
Rogers, a national manufacturer of lawn-mowing and snow-blowing equipment, segments its business according to customer type: Professional and Residential. Assume the following divisional information was available for the past year (in thousands of dollars):
Sales Operating Income Total Assets
Residential $850,000 $68,000 $200,000
Professional $1,095,000 $153,300 $365,000
Assume that management has a 25% target rate of return for each division.
Requirements
a. Calculate each division’s ROI.
b. Calculate each division’s sales margin. Interpret your results.
c. Calculate each division’s capital turnover. Interpret your results.
d. Use the expanded ROI formula to confirm your results from Requirement a. What can you conclude?
e. Calculate each division’s residual income (RI). Interpret your results.
Answer:
A.Residential 34%
Professional 42%
B.Residential 8%
Professional 14%
C.Residential 4.25%
Professional 3%
D.Residential 34%
Professional 42%
E.Residential $18,000.00
Professional $62,050.00
Explanation:
A.Calculation for each division’s ROI
Using this formula
Return on Investment
=Net Income / Average Invested Assets
Let plug in the formula
Residential $68,000.00/$200,000.00 = 34.00%
Professional $153,300.00/$365,000.00 = 42.00%
B.Calculation for each division’s sales margin. Interpret your results
Using this formula
Sales Margin= Operating income/Sales
Let plug in the formula
Residential $68,000.00/$850,000.00 = 8.00%
Professional $153,300.00/$1,095,000.00 = 14.00%
C.Calculation for each division’s capital turnover
Using this formula
Capital Turnover=Sales/Average operating assets
Let plug in the formula
Residential $850,000.00 /$200,000.00 = 4.25
Professional $1,095,000.00/$365,000.00 = 3.00
D.Using the expanded ROI formula to confirm the results from Requirement a.
Using this formula
Return on Investment=Profit Margin * Investment Turnover
Let plug in the formula
Residential 8.00% * 4.25% 34.0%
Professional 14.00% * 3.00% 42.0%
E.Calculation for each division’s residual income (RI)
Residential Professional
Average investment
$200,000.00 $365,000.00
×Target return 25% 25%
=Target income
$50,000.00 $91,250.00
Hence,
Operating income $68,000.00 $153,300.00
Less:Target income$50,000.00 $91,250.00
Residual income $18,000.00 $62,050.00
Bon Nebo Co. sold 25,000 annual subscriptions of Bjorn 20XX for $85 during December 2014. These new subscribers will receive monthly issues, beginning in January 2015. In addition, the business had taxable income of $840,000 during the first calendar quarter of 2015. The federal tax rate is 40%. A quarterly tax payment will be made on April 12, 2015.
Prepare the Current Liabilities section of the balance sheet for Bon Nebo Co. on March 31, 2015.
Answer:
Current Liabilities
Federal Income Taxes Payable $336,000
Advances on Magazine Subscriptions $1,593,750
Total Current Liabilities $1,929,750
Explanation:
Federal Income Taxes Payable
This is a current Liability as it falls under a period of a year. As March ends the first quarter, the quarterly tax is;
= 840,000 x 40%
= $336,000
Advances on Magazine Subscriptions
They are to deliver monthly subscriptions for 12 months to the tune of 25,000 copies which they have already been paid for. Under the Accrual system they cannot recognize this as revenue until they have fulfilled their obligation to deliver the magazines and until then, they are current Liabilities. As of end of March, they have fulfilled their obligations for 3 months leaving 9 in the year.
= 25,000 x $85 x 9/12
=$1,593,750
hi , what is third-party companies??? thank
Answer:
A 'third party', is any entity that a company does business with. This may include suppliers, vendors, contract manufacturers, business partners and affiliates, brokers, distributors, resellers, and agents.
Now that you have studied monopolistic competition, let's see how well you can distinguish a firm in a monopolistically competitive market from a firm in a perfectly competitive market. Given the description of the firm below, decide whether it applies to monopolistic competition, perfect competition, or both. You may have to adjust the scroll bar to see the complete list.
1. a firm that produces with excess capacity in
2. a firm that has a firm that sets price greater than marginal cost
3. a firm that may earn an econom profit or loss in the short run
4. a firm that faces a downward sloping demand curve.
5. a firm that that maximizes profits profit in the long by producing where MR = MC
Answer:
Monopolistic Competition:
4. a firm that faces a downward sloping demand curve.
Perfect Competition:
1. a firm that produces with excess capacity in
3. a firm that may earn in an economy profit or loss in the short run
5. a firm that that maximizes profits profit in the long by producing where MR = MC
Both:
2. a firm that has a firm that sets price greater than marginal cost.
Explanation:
On January 1, Bramble Corp. has a beginning cash balance of $42000. During the year, the company expects cash disbursements of $300000 and cash receipts of $340000. If Bramble requires an ending cash balance of $40000, the company must borrow:________
Answer:
this question is confusing me
Beverages manufactures its own . The bottles are made from polyethylene terephthalate (PET), a lightweight yet strong plastic. uses as much PET recycled resin pellets in its bottles as it can, both because using recycled PET helps to meet its sustainability goals and because recycled PET is less expensive than virgin PET.
Riley is continuing to search for ways to reduce its costs and its impact on the environment. PET plastic is melted and blown over soda bottle molds to produce the bottles. One idea Riley's engineers have suggested is to retrofit the soda bottle molds and change the plastic formulation slightly so that 25 % less PET plastic is used for each bottle. The average kilograms of PET per soda bottle before any redesign is 0.004 kg. The cost of retrofitting the soda bottle molds will result in a one-time charge of $22,112, while the plastic reformulation will cause the average cost per kilogram of PET plastic to change from $3.00 to $3.30.
Required:
a. Using the original data (before any redesign of soda bottles ), prepare a direct materials budget to calculate the cost of PET purchases in each quarter for the upcoming year and for the year in total.
b. Assume that the company retrofits the soda bottle molds and changes the plastic formulation slightly so that less PET plastic is used in each bottle. Now prepare a direct materials budget to calculate the cost of PET purchases in each quarter for the upcoming year and for the year in total for this possible scenario.
c. Compare the cost of PET plastic for Requirement 1 (original data) and for Requirement 2 (making change to using less PET.) What is the direct material cost savings from making the change to using less PET?
Answer:
I prepared an excel spreadsheet because there is not enough space here.
C) total savings = previous materials costs - total cost per year after retrofitting - cost of retrofitting the molding machine = $137,105.10 - $102,168.00 - $22,112 = $12,825.10
When constructing a risky portfolio consisting only of risky assets, an investment manager should offer _____.
Answer:
a customized risky portfolio to each client based on their risk aversion
Explanation:
It is always believed that when it comes to investment analysis or issue, there are higher returns for higher risk portfolios and lower returns for lower risk portfolios.
Therefore, in order to make a better decision, it is pertinent to note that, the level of risk aversion varies according to each or individual investor.
Hence, when constructing a risky portfolio consisting only of risky assets, an investment manager should offer a customized risky portfolio to each client based on their risk aversion.
A mail-order house uses 18,000 boxes a year. Carrying costs are 60 cents per box a year, and ordering costs are $96. The following price schedule applies.
Determine:
A. The optimal order quantity.
B. The number of orders per year.
of boxes: 1,000-1,999 Price per box: $1.25
of boxes: 2,000- 4,999 Price per box: $1.20
of boxes: 5,000- 9,999 Price per box : $1.15
of boxes: 10,000 or more Price per box : $1.10
Answer:
Explanation:
Given that:
A mail-order house uses 18,000 boxes a year.
Carrying costs are 60 cents per box a year =$0.60
and ordering costs are $96.
Determine:
A. The optimal order quantity.
The optimal order quantity can be calculated by using the formula:
[tex]Q_o = \sqrt{\dfrac{2DS}{H}}[/tex]
[tex]Q_o = \sqrt{\dfrac{2*18000*96}{0.60}}[/tex]
[tex]Q_o = \sqrt{\dfrac{3456000}{0.60}}[/tex]
[tex]Q_o = \sqrt{5760000}[/tex]
[tex]Q_o = 2400 \ boxes[/tex]
B. The number of orders per year.
of boxes: 1,000-1,999 Price per box: $1.25
of boxes: 2,000- 4,999 Price per box: $1.20
of boxes: 5,000- 9,999 Price per box : $1.15
of boxes: 10,000 or more Price per box : $1.10
SInce 2400 boxes lies within ''of boxes: 2,000- 4,999 Price per box: $1.20 ''
Total cost = Carrying cost + ordering cost + Purchasing cost
[tex]Total \ cost =(\dfrac{Q}{2} )H +(\dfrac{D}{Q}) S+PD[/tex]
[tex]Total \ cost =(\dfrac{2400}{2} )0.60 +(\dfrac{18000}{2400}) 96+1.20*18000[/tex]
Total cost = ( 1200) 0.60 + 7.5(96) + 1.20(18000)
Total cost = 720 + 720 + 21600
Total cost = $ 23040
If the order size is 5000, the price per box will be 1.15
[tex]Total \ cost =(\dfrac{Q}{2} )H +(\dfrac{D}{Q}) S+PD[/tex]
[tex]Total \ cost =(\dfrac{5000}{2} )0.60 +(\dfrac{18000}{5000}) 96+1.15*18000[/tex]
Total cost = 2500 (0.60) + 3.6 (96) + 20700
Total cost = 1500 + 345.6 + 20700
Total cost = $22545.6
If the order size is 10000 , the price per box will be 1.10
[tex]Total \ cost =(\dfrac{Q}{2} )H +(\dfrac{D}{Q}) S+PD[/tex]
[tex]Total \ cost =(\dfrac{10000}{2} )0.60 +(\dfrac{18000}{10000}) 96+1.10*18000[/tex]
Total cost = 5000 (0.60) + 1.8(96) + 19800
Total cost = 3000 + 172.8 + 19800
Total cost = $22972.8
From the three total cost, the least minimum cost of ordering is: 5000
So; the number of orders per year = total number of boxes per year/ boxes per order
the number of orders per year = 18000/5000
the number of orders per year = 3.6 orders per year
In the basic EOQ model, an annual demand of 40 units, an ordering cost of $5, and a holding cost of $1 per unit per year will result in an EOQ of:
Answer:
20
Explanation:
The formula for Economic order quantity ( EOQ ) = √2DS/H,
Where,
D annual demand = 40 units
S Ordering cost = $5
H Holding cost = $1
Hence ,
EOQ = √ 2 × 40 units × $5 / 1$
= √ $400 / $1
= 20
The Murdock Corporation reported the following balance sheet data for 2016 and 2015:
2016 2015
Cash $ 96,245 $ 33,155
Available-for-sale securities (not cash equivalents) 24,000 102,000
Accounts receivable 97,000 83,550
Inventory 182,000 160,300
Prepaid insurance 3,030 3,700
Land, buildings, and equipment 1,284,000 1,142,000
Accumulated depreciation (627,000) (589,000)
Total assets $ 1,059,275 $ 935,705
Accounts payable $ 91,640 $ 165,670
Salaries payable 26,800 33,000
Notes payable (current) 40,300 92,000
Bonds payable 217,000 0
Common stock 300,000 300,000
Retained earnings 383,535 345,035
Total liabilities and shareholders' equity $ 1,059,275 $ 935,705
Additional information for 2016:
Sold available-for-sale securities costing $78,000 for $84,200.
Equipment costing $20,000 with a book value of $6,700 was sold for $8,550.
Issued 6% bonds payable at face value, $217,000.
Purchased new equipment for $162,000 cash.
Paid cash dividends of $28,500.
Net income was $67,000.
Required:
Prepare a statement of cash flows for 2016 in good form using the indirect method for cash flows from operating activities. (Amounts to be deducted should be indicated with a minus sign.)
Answer:
The Murdock Corporation
Statement of Cash Flows for the year ended December 31, 2016, using the indirect method:
Operating Activities:
Net Income $67,000
Add depreciation 38,000
Accounts receivable -$13,450
Inventory -$21,700
Accounts payable -$74,030
Salaries payable -$6,200
Notes payable (current) -$51,700
Net cash from operations -$62,080
Investing Activities:
Sale of securities $84,200
Sale of Equipment $8,550
New Equipment -$162,000
Net cash from investing activities -$69,250
Financing Activities:
Issue of bonds $217,000
Dividends -$28,500
Net cash from financing activities $188,500
Net cash flows $57,170
Explanation:
a) Data and Calculations:
Balance Sheet for 2016 and 2015:
2016 2015
Cash $ 96,245 $ 33,155
Available-for-sale securities
(not cash equivalents) 24,000 102,000
Accounts receivable 97,000 83,550
Inventory 182,000 160,300
Prepaid insurance 3,030 3,700
Land, buildings, and equipment 1,284,000 1,142,000
Accumulated depreciation (627,000) (589,000)
Total assets $ 1,059,275 $ 935,705
Accounts payable $ 91,640 $ 165,670
Salaries payable 26,800 33,000
Notes payable (current) 40,300 92,000
Bonds payable 217,000 0
Common stock 300,000 300,000
Retained earnings 383,535 345,035
Total liabilities and shareholders'
equity $ 1,059,275 $ 935,705
Additional information for 2016:
Proceeds from sale of securities = $84,200
Proceeds from sale of Equipment = $8,550
Proceeds from issue of bonds = $217,000
Cash Payments:
New Equipment = $162,000
Dividends = $28,500
Net Income for the year = $67,000
Depreciation:
2016 accumulated depreciation = $627,000
2015 accumulated depreciation = 589,000
Depreciation charge for 2016 = $38,000
Net Increases/decreases in working capital:
2016 2015 Cash Effect
Accounts receivable 97,000 83,550 ($13,450)
Inventory 182,000 160,300 ($21,700)
Accounts payable 91,640 165,670 ($74,030)
Salaries payable 26,800 33,000 ($6,200)
Notes payable (current) 40,300 92,000 ($51,700)
The Murdock Corporation's Statement of Cash Flows is one of the financial statements that are prepared at the end of the accounting period to show the inflow and outflow of cash during the period. It shows the cash flows from operating, investing, and financing activities of the corporation. There are two methods for preparing this statement: the direct method and the indirect method. The direct method shows the actual inflows and outflows for operating activities while the indirect method starts with the net income to reconcile the accrual basis of accounting to the cash basis.
A company reports merchandise inventory on December 31 at $250,000 but LCM applied to items is $200,000. Record the journal entry to report merchandise inventory at the correct amount:
Answer:
The adjusting journal will be :
Loss on write down of Inventory $50,000 (debit)
Inventory $50,000 (credit)
Explanation:
The inventory must be presented at the Lower of Cost and Market Value.
The adjusting journal will be :
Loss on write down of Inventory $50,000 (debit)
Inventory $50,000 (credit)
The Loss on write down of Inventory is an expense in the trading account.
Answer:
See journal below
Explanation:
The journal entries below will be recorded in the books of account in order to report the merchandise inventory at the correct amount.
The cost of goods sold account Dr $50,000
($250,000 - $200,000)
To merchandise inventory account Cr $50,000
(Being record of inventory on LCM)
The cost of goods sold was debited with $50,000 while same amount was credited to merchandise inventory account.
People decide to save 20 percent of their incomes. The value of the marginal propensity to consume is ________ and the value of the spending multiplier is ________.
Answer: 0.8; 5
Explanation:
From the question, we are informed that people decide to save 20 percent of their incomes. We should note that the addition of the marginal prospensity to consume(MPC) and the marginal prospensity to save(MPS) will be equal to 1.
Therefore, the value of the marginal propensity to consume will be:
= 1 - 20%
= 1 - 0.2
= 0.8
The value of the spending multiplier will be calculated as:
= 1/MPS
= 1/0.2
= 5
The HIJ bond has a current price of $800, a maturity value of $1,000, and matures in 5 years. If interest is paid semi-annually and the bond is priced to yield 8%, what is the bond's annual coupon rate
Answer:
Explanation:
The coupon rate is defined as the interest rate paid on a bond by its issuer for the term of the security.
Hence,
Par Value = $800
Face Value = $1,000
N = 5 x 2 = 10
Since the interest is semi annual
i = 8% / 2 = 4%
CF = $15.34
Coupon = $30.68 per year or 3.068%
Janitor Supply produces an industrial cleaning powder that requires 31 grams of material at $0.30 per gram and 0.40 direct labor hours at $10.00 per hour. Overhead is applied at the rate of $16 per direct labor hour. What is the total standard cost for one unit of product that would appear on a standard cost card
Answer:
Total standard cost per unit will be $19.7
Explanation:
The standard cost card of the product will be,
$
Material (0.3 * 31) 9.3
Direct Labor (0.4 * 10) 4
Overheads (0.4 * 16) 6.4
Total cost per unit 19.7
Thus, the standard cost per unit will be $19.7
Suppose you know a company's stock currently sells for $70 per share and the required return on the stock is 14 percent. You also know that the total return on the stock is evenly divided between a capital gains yield and a dividend yield. If it's the company's policy to always maintain a constant growth rate in its dividends, what is the current dividend per share?
Answer: $4.58
Explanation:
The required return is said to be evenly divided between a capital gains yield and a dividend yield.
That means that Dividend Yield = 7%
Capital gains yield = 7%
The Dividend Yield is based on the next dividend and given the expected return the dividend is;
Expected Return = Dividend Yield + Capital gains yield
Expected Return = Dividend(1 + g)/stock price + Capital gains yield
0.14 = Dividend ( 1 + 0.07)/70 + 0.07
70 * (0.14 - 0.07 ) = Dividend ( 1.07)
4.9 = Dividend ( 1.07)
Dividend = 4.9/1.07
Dividend = $4.58
What is the value of a perpetuity that pays $100 every 3 months forever? The interest rate quoted on an APR basis is 6%.
Answer:
$6,666.67
Explanation:
According to the given situation, the computation of the value of a perpetuity is shown below:-
Value of Perpetuity = Quarterly Payment ÷ Quarterly Interest Rate
Now, we will put the values into the above formula to reach the value of a perpetuity
= $100 ÷ (6% ÷ 4)
= $100 ÷ 0.0150
= $6,666.67
Therefore for computing the value of perpetuity we simply applied the above formula.
Ten years ago, Kronan Corporation earned $0.50 per share. Its earnings this year were $2.20. What was the growth rate in earnings per share (EPS) over the 10-year period?
Answer:
The growth rate in earnings per share (EPS) is 15.97%
Explanation:
Assuming annual growth rate is r%, hence
$0.5 x (1 + r)^10 = $2.20
(1 + r)10 = $2.20 / $0.5
(1 + r)10 = $4.4
Taking 10th root at each side,
(1 + r)10 = $4.4
[tex]\sqrt[10]{1 + r}[/tex] = [tex]\sqrt[10]{4.4}[/tex]
1+r = 1.1597
r = 1.1597 - 1
r = 0.1597
r= 15.97%
Abey Kuruvilla, of Parkside Plumbing, uses 1,210 of a certain spare part that costs $26 for each order, with an annual holding cost of $24. a) Calculate the total cost for order sizes of 25, 40, 50, 60, and 100 (round your responses to two decimal places).
Answer:
Annual demand(D) = 1,210
Ordering cost(S) = $26
Annual holding cost (H) = $24
With the order quantity(Q) = 25,
Total cost = Holding cost + ordering cost
= [(Q/2)H] + [(D/Q)S]
= [(25/2)24] + [(1210/25)26]
= $300 + $1258.4
= $1558.4
With the order quantity(Q) = 40,
Total cost = Holding cost + ordering cost
= [(Q/2)H] + [(D/Q)S]
= [(40/2)24] + [(1210/40)26]
= $480 + $786.5
= $1266.5
With the order quantity(Q) = 50,
Total cost = Holding cost + ordering cost
= [(Q/2)H] + [(D/Q)S]
= [(50/2)24] + [(1210/50)26]
= $600 + $605
= $1205
With the order quantity(Q) = 60,
Total cost = Holding cost + ordering cost
= [(Q/2)H] + [(D/Q)S]
= [(60/2)24] + [(1210/60)26]
= $720 + $524.33
= $1244.33
With the order quantity(Q) = 100,
Total cost = Holding cost + ordering cost
= [(Q/2)H] + [(D/Q)S]
= [(100/2)24] + [(1210/100)26]
= $1200 + $314.6
= $1514.6
The fixed cost of a production system is $20,000, and the variable cost per unit product is $17. The product has a revenue of $28 per unit. Calculate the breakeven quantity and determine the profit or loss amount when 1,500 units are produced. g
Answer:
Results are below.
Explanation:
Giving the following information:
Fixed costs= $20,000
Unitary variable cost= $17
Selling price= $28 per unit.
To calculate the break-even point in units, we need to use the following formula:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 20,000 / (28 - 17)
Break-even point in units= 1,818 units
Now, the profit for 1,500 units:
Loss= 1,500*11 - 20,000= -$3,500
The total factory overhead for Bardot Marine Company is budgeted for the year at $1,038,750, divided into two departments: Fabrication, $645,000, and Assembly, $393,750. Bardot Marine manufactures two types of boats: speedboats and bass boats. The speedboats require four direct labor hours in Fabrication and three direct labor hours in Assembly. The bass boats require two direct labor hours in Fabrication and four direct labor hours in Assembly. Each product is budgeted for 5,000 units of production for the year.
When required, round all per unit answers to the nearest cent.
a. Determine the total number of budgeted direct labor hours for the year in each department.
Fabrication direct labor hours
Assembly direct labor hours
b. Determine the departmental factory overhead rates for both departments.
Fabrication $ per dlh
Assembly $ per dlh
c. Determine the factory overhead allocated per unit for each product using the department factory overhead allocation rates.
Speedboat: $ per unit
Bass boat: $ per unit
Answer:
Instructions are below.
Explanation:
Giving the following information:
Fabrication, $645,000
Assembly, $393,750.
Speedboats:
Fabrication Direct labor hours= 4
Assembly Direct labor hours= 3
Bassboats:
Fabrication Direct labor hours= 2
Assembly Direct labor hours= 4
Each product is budgeted for 5,000 units of production for the year.
First, we need to calculate the budgeted direct labor hours:
Fabrication= 4*5,000 + 2*5,000= 30,000
Assembly= 3*5,000 + 4*5,000= 35,000
Now, we can determine the predetermined overhead rate using the following formula:
Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base
Fabrication= 645,000/30,000= $21.5 per direct labor hour
Assembly= 393,750/35,000= $11.25 per direct labor hour
Finally, we can allocate overhead to each product:
Allocated MOH= Estimated manufacturing overhead rate* Actual amount of allocation base
Speedboat= 4*21.5 + 3*11.25= $119.75
Bassboat= 2*21.5 + 4*11.25= $88
If the rate of inflation is 2.2% per year, the future price pt (in dollars) of a certain item can be modeled by the following exponential function, where t is the number of years from today.
p(t)=1200(1.039^t)
Find the current price of the item and the price 9 years from today.
Answer:
1693.25
Explanation:
The computation of the current price of the item and the price 9 years from today is shown below:-
p(t) = 1,200 × (1.039)^t
Now, the current price can be found by putting t = 0
p(0) is
[tex]1,200\times (1.039)^0 = $1,200[/tex]
The price 10 years from today
p(9) is
[tex]1,200\times (1.039)^9[/tex]
Now we will solve the above equation
= 1,200 × 1.411041958
= 1693.25035
or
= 1693.25
assume the following information about the market and JumpMaster's stock. JumpMaster's beta = 1.50, the risk free rate 2%, the market risk premium is 10.0%. Using CAPM, what is the expected return for JumpMaster's stock?
Answer:
Expected market return = 17%
Explanation:
Given the Jump master’s beta = 1.50
Risk free rate = 2%
Market risk premium = 10%
To find the expected return we have to use the below formula.
Expected market return = Riskfree rate + Beta × Market risk premium
Now insert all the values in order to get the expected market return.
Expected market return = 2 + 1.50 × 10
Expected market return = 17%
You own two bonds. Both bonds pay annual interest, have 7 percent coupons, and currently have 7 percent yields to maturity. Bond A has 5 years to maturity and Bond B has 10 years to maturity. If the market rate of interest changes unexpectedly to 6 percent, the price of Bond A will change by _____ percent and the price of Bond B will change by _____ percent.
Answer:
the price of Bond A will change by 4.21% and the price of Bond B will change by 7.36%.
Explanation:
Bonds A and B
current bond price $1,000
interest rate 7%
Bond A matures in 5 years, annual payments
Bond B matures in 10 years, annual payments
if market interest decreases to 6%
Bond A:
$1,000 / (1 + 6%)⁵ = $747.26
$70 x 4.2124 (annuity factor, 6%, 5 periods) = $294.87
market price = $1,042.13
% change = 4.21%
Bond B:
$1,000 / (1 + 6%)¹⁰ = $558.39
$70 x 7.3601 (annuity factor, 6%, 10 periods) = $515.21
market price = $1,073.60
% change = 7.36%
Ultimo Co. operates three production departments as profit centers. The following information is available for its most recent year. Department 1's contribution to overhead as a percent of sales is:
Dept. Sales Cost of Goods Sold Direct Expenses Indirect Expenses
1 $ 1,080,000 $ 708,000 $ 102,000 $ 88,000
2 480,000 158,000 48,000 108,000
3 780,000 308,000 158,000 28,000
Multiple Choice
56.7%
25.0%
34.7%
34.0%
61.6%
The B&T Company's production costs for May are: direct labor, $19,000; indirect labor, $7,100; direct materials, $15,600; property taxes on production facility, $860; factory heat, lights and power, $1,060; and insurance on plant and equipment, $260. B&T Company's factory overhead incurred for May is:
Multiple Choice
A. $9,280.
B. $43,880.
C. $7,100.
D. $2,180.
E. $22,700.
Answer:
1) 25%
Dept. Sales COGS Direct Expenses Indirect Expenses
1 1,080,000 708,000 102,000 88,000
2 480,000 158,000 48,000 108,000
3 780,000 308,000 158,000 28,000
total 2,340,000 1,174,000 308,000 224,000
contribution to overhead = sales - COGS - direct expenses = $1,080,000 - $708,000 - $102,000 = $270,000
contribution to overhead as percentage of sales = $270,000 / $1,080,000 = 0.25 = 25%
2) A. $9,280.
overhead:
direct labor, NOT INCLUDED
indirect labor, $7,100
direct materials, NOT INCLUDED
property taxes on production facility, $860
factory heat, lights and power, $1,060
insurance on plant and equipment, $260
total overhead = $9,280
The following income statement and additional year-end information is provided.
SONAD COMPANY
Income Statement
For Year Ended December 31
Sales $1,647,000
Cost of goods sold 807,030
Gross profit 839,970
Operating expenses
Salaries expense $225,639
Depreciation expense 39,528
Rent expense 44,469
Amortization expenses—Patents 4,941
Utilities expense 18,117 332,694
507,276
Gain on sale of equipment 6,588
Net income $513,864
Accounts receivable $29,000 increase Accounts payable $14,925 decrease
Inventory 23,425 increase Salaries payable 5,000 decrease
Prepare the operating activities section of the statement of cash flows using the indirect method.
Answer:
Cash flow from Operating Activities
Net income $513,864
Adjustment for Non-cash items :
Depreciation expense $39,528
Amortization expenses—Patents $4,941
Adjustment for Changes in Working Capital :
Increase in Accounts receivable ($29,000)
Decrease in Accounts payable ($14,925)
Increase in Inventory ($23,425)
Decrease in Salaries payable ($5,000)
Net Cash flow from Operating Activities $485,983
Explanation:
The Indirect method, reconciles the Operating Profit to the Operating Cash Flow by adjusting for the following items :
Non-cash items previously added or deducted from the Operating ProfitAdjustments for Changes in Working Capital itemsYou own a stock that had returns of 12.05 percent, −16.76 percent, 21.64 percent, 25.41 percent, and 9.29 percent over the past five years. What was the arithmetic average return for this stock?
Answer:Arithmetic average return =10.326%
Explanation:
Year Returns
1 12.05%
2 - 16.76%
3 21.64%
4 25.41%
5 9.29%
Total returns = 51.63%
Arithmetic average is The sum of all of the numbers in a considered list divided by the number of items of the list.
Therefore,
Arithmetic average return = Sum of year 1 to year 5 returns / number of items(year)
= 51.63% / 5
= 10.326%
Your firm has estimated the following cash flows for two mutually exclusive capital investment projects. The firm's required rate of return is 13%.
Year Project A Cash Flow Project B Cash Flow
0 -$100,000 -$100,000
1 28,900 48,000
2 28,900 40,000
3 28,900 40,000
4 28,900 5 28,900
Which of the following statements best describes projects A and B?
a) Project A should be accepted because it has the highest NPV.
b) Project A should be accepted because it has the highest EAA.
c) Project B should be accepted because it has the highest EAA.
d) Both projects should be accepted because they have positive NPVs and EAAs.
e) Neither project is acceptable.
Answer:
c) Project B should be accepted because it has the highest EAA.
Explanation:
EAA is the annuity payment that is equal to the value of the NPV
Net present value is the present value of after tax cash flows from an investment less the amount invested.
NPV can be calculated using a financial calculator
NPV for project A
Cash flow in year 0 = -$100,000
Cash flow each year from year 1 to 5 = $28,900
I = 13%
NPV = $1647.98
Please find attached the formula used i calculating EAA = $468.54
NPV for project B
Cash flow in year 0 = -$100,000
Cash flow in year 1 = $48,000
Cash flow in year 2 = $40,000
Cash flow in year 3 = $40,000
I = 13%
NPV = $1,525.75
EAA = $646.19
When comparing projects with unequal lives, choose the project with the higher EAA. This is project B. Only project B can be chosen because the projects are mutually exclusive.
To find the NPV 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
Answer:
c) Project B should be accepted because it has the highest EAA.
Explanation:
First determine the Net Present Value of Project A and Project B.
Using a Financial Calculator the Net Present Values will be
Project A
-$100,000 CFj
$28,900 CFj
$28,900 CFj
$28,900 CFj
$28,900 CFj
13% I/YR
Shift NPV - $14,037.78
Project B
-$100,000 CFj
$48,000 CFj
$40,000 CFj
$40,000 CFj
$28,900 CFj
13% I/YR
Shift NPV $19250.66
The only correct statement is that Project B should be accepted because it has the highest EAA.
Today’s business headlines frequently cite pensions being underfunded, thus costing companies more in contributions to their pension fund as well as pensioners risking not receiving what they had planned for retirement. This has been caused by underperformance of the pension fund itself and the over promising of benefits to retirees. Take the following example:_______.
Assume $20m was invested today to provide for pension payments for a group of employees. Assume also that the average return on these funds was 8.5%
1. How big will the fund be in 25 years?
2. Suppose at year 12 the fund decreased in value by 30%. What returns would be required for the next 13 years to achieve the 25 year amount?
3. Advisor's counseled the company that a conservative investment return of 6% annually for the next 13 years would be advisable and that the company would have to contribute annually to make up the shortfall. How much would have to be contributed annually beginning year 13 if the fund earned 6% in order to achieve the 25 year goal?
Please show the method used to solve this problem.
Answer:
1) in 25 years, the pension fund should equal:
future value = present value x (1 + interest rate)ⁿ
FV = $20,000,000 x (1 + 8.5%)²⁵ = $153,735,247
2) the value in 12 years = $20,000,000 x (1 - 30%) = $14,000,000
future value = present value x (1 + interest rate)ⁿ
$153,735,247 = $14,000,000 x (1 + interest rate)¹³
(1 + interest rate)¹³ = $153,735,247 / $14,000,000 = 10.981
¹³√(1 + interest rate)¹³ = ¹³√10.981
1 + interest rate = 1.2024
interest rate = 1.2024 - 1 = 20.24%
3) if the fund only earns 6%, in 13 years it will be worth:
FV = $14,000,000 (1 + 6%)¹³ = $29,860,996
so you need $153,735,247 - $29,860,996 = $123,874,251 more
we need to use the future value of an annuity formula:
FV of an annuity = annuity payment x annuity factor
FV of an annuity = $123,874,251annuity payment = ?annuity factor (6%, 13 periods) = 18.882annuity payment = $123,874,251 / 18.882 = $6,560,441
