Answer:
Some information is missing, specifically the % of credit sales. Similar questions use 80%, so I will use that %. Also, November sales were $85,000 and December sales were $115,000.
Cash collections budgetJanuary February March
Cash sales $30,000 $26,000 $35,000
Collection from Nov. sales $16,320
Collection from Dec. sales $36,800 $22,080
Collection from Jan. sales $24,000 $48,000 $28,800
Collection from Feb. sales $20,800 $41,600
Collection from March sales $28,000
Total cash collections $107,120 $116,880 $133,400
Suppose you invested in the Ishares High Yield Fund (HYG) a month ago. It paid a dividend of today and then you sold it for . What was your dividend yield and capital gains yield on the investment?
Complete Question:
Suppose you invested $100 in the Ishares High Yield Fund HYG your dividend yield and capital gains yield on the investment?
It paid a dividend of $2 today and then you sold it for $95. What was Dividend Yield and Capital Gains Yield on the investment?
Answer:
Dividend Yield is 2%
Capital Gains Yield is -5%
Explanation:
Dividend Yield:
We can calculate the Dividend Yield using the following formula:
Dividend Yield = D0 / Initial Stock Price
Here
D1 was Dividend paid just now and is $2 per share
Initial Stock Price before the dividend payment was $100 per share
By putting values, we have:
Dividend Yield = $2 per share / $100 per share = 2%
Capital Gains Yield:
We can find capital gains yield by using following formula:
Capital Gains Yield = (P1 - P0) / P0
Here
P1 is $95
P0 is $100
By putting values we have:
Capital Gains Yield = ($95 - $100) / $100 = -5%
Which of these conditions helped establish the foundation for a market revolution in the United States
Question Completion:
Choices: Rapid improvements in transportation and communication; the production of goods for a cash market; and the use of inventions and innovations to produce goods for a mass market.
Answer:
The condition that helped to establish the foundation for a market revolution in the United States is:
Rapid improvements in transportation and communication
Explanation:
Rapid improvements in transportation and communication spurred innovations. With innovations, capitalism was born. Innovations needed factories for mass production. In turn, according to American History, "factories and mass production increasingly displaced individual artisans and farmers," who survived at subsistent levels. Large farms grew and produced crops for distant markets, no longer only for family and local markets. Most of the crops were further processed, packaged, preserved, and shipped through cheap transportation systems like the Erie Canal, using steamboats. And the rest, they say, is history.
Blossom, Inc., manufactures golf clubs in three models. For the year, the Big Bart line has a net loss of $4,700 from sales $201,000, variable costs $175,000, and fixed costs $30,700. If the Big Bart line is eliminated, $19,800 of fixed costs will remain. Prepare an analysis showing whether the Big Bart line should be eliminated. (Enter negative amounts using either a negative sign preceding the number e.g. -45 or parentheses e.g. (45).) g
Answer:
Analysis of the Big Bart line discontinuity
Opportunity Costs :
Sales ($201,000)
Savings :
Variable Costs $175,000
Fixed Costs ($30,700 - $19,800) $10,900
Financial Advantage / (Disadvantage) ($15,100)
Conclusion :
Do not eliminate / discontinue Big Bart line.
Explanation:
The results show that closing Big Bart line results in a contribution towards fixed cost being lost to the amount of $15,100. Therefore leaving the entire company in a worse off position.
Luther Corporation
Consolidated Income Statement
Year ended December 31 (in $millions)
2006 2005
Total sales 610.1 578.8
Cost of sales (500.2) (355.3)
Gross profit 109.9 223.5
Selling, general, and
administrative expenses (40.5) (38.7)
Research and development (24.6) (21.8)
Depreciation and amortization (3.6) (3.9)
Operating income 41.2 159.1
Other income −− −−
Earnings before interest and taxes (EBIT) 41.2 159.1
Interest income (expense) (25.1) (15.3)
Pretax income 16.1 143.8
Taxes (5.5) (50.33)
Net income 10.6 93.47
Price per share $16 $15
Sharing outstanding (millions) 10.2 8.0
Stock options outstanding (millions) 0.3 0.2
Stockholders' Equity 126.6 63.6
Total Liabilities and Stockholders' Equity 533.1 386.7
Refer to the income statement above. Luther's operating margin for the year ending December 31, 2005 is closest to:_________.
A. 13.7413.74%
B. 21.9921.99%
C. 27.4927.49%
D. 32.9932.99%
Answer:
27.48%
Explanation:
Calculation for Luther's operating margin for the year ending December 31, 2005
Using this formula
Operating margin = Operating income / Sales
Let plug in the formula
Operating margin= 159.1/578.8
Operating margin=0.2748*100
Operating margin=27.48%
Therefore Luther's operating margin for the year ending December 31, 2005 is 27.48%
TB MC Qu. 9-251 Turrubiates Corporation makes a product that ... Turrubiates Corporation makes a product that uses a material with the following standards: Standard quantity 6.7 liters per unit Standard price $ 1.20 per liter Standard cost $ 8.04 per unit The company budgeted for production of 2,500 units in April, but actual production was 2,600 units. The company used 18,000 liters of direct material to produce this output. The company purchased 18,800 liters of the direct material at $1.30 per liter. The direct materials purchases variance is computed when the materials are purchased. The materials quantity variance for April is:
Answer:
Direct material quantity variance= $696 unfavorable
Explanation:
Giving the following information:
Standard quantity 6.7 liters per unit
Standard price $ 1.20 per liter
Actual production was 2,600 units.
The company used 18,000 liters of direct material to produce this output.
To calculate the direct material quantity variance, we need to use the following formula:
Direct material quantity variance= (standard quantity - actual quantity)*standard price
Standard quantity= 6.7*2,600= 17,420
Direct material quantity variance= (17,420 - 18,000)*1.2
Direct material quantity variance= $696 unfavorable
When preparing an income statement vertical analysis, each revenue and expense is expressed as a percent of net income.
A. True
B. False
Granger Inc. Comparative Balance Sheets December 31
Assets 2017 2016
Cash $80,800 $48,400
Accounts receivable 87,800 38,000
Inventory 112,500 102,850
Prepaid expenses 28,400 26,000
Long-term investments 138,000 109,000
Plant assets 285,000 242,500
Accumulated depreciation (50,000) (52,000)
Total $682,500 $514,750
Liabilities and Stockholders' Equity
Accounts payable $102,000 $67,300
Accrued expenses payable 16,500 21,000
Bonds payable 110,000 146,000
Common stock 220,000 175,000
Retained earnings 234,000 105,450
Total $682,500 $514,750
Granger Inc. Income Statement Data For the Year Ended December 31, 2017
Sales revenue $388,460
Less:
Cost of goods sold $135,460
Operating expenses, excluding depreciation 12,410
Depreciation expense 46,500
Income tax expense 27,280
Interest expense 4,730
Loss on disposal of plant assets 7,500 233,880
Net income $154,580
Additional information:
1. New plant assets costing $90,000 were purchased for cash during the year.
2. Old plant assets having an original cost of $51,750 and accumulated depreciation of $43,650 were sold for $1,350 cash.
3. Bonds payable matured and were paid off at face value for cash.
4. A cash dividend of $23,427 was declared and paid during the year.
Required:
Prepare a statement of cash flows for Granger Inc. using the direct method.
Answer:
GRANGER INC.
STATEMENT OF CASH FLOWS (USING INDIRECT METHOD)
FOR THE YEAR ENDED DECEMBER 31, 2017
Particulars Amount$
Cash flow from operating activities
Net Income 154,580
Adjustments to reconcile net income to net cash
provided by operating activities
Adjustment for non cash effects
Depreciation expense 46,500
Loss on sale of plant assets 7,500
Change in operating assets & liabilities
Increase in Accounts receivable -49,800
Increase in inventory -9,650
Increase in prepaid expenses -2,400
Increase in accounts payable 34,700
Decrease in accrued expenses payable -4,500
Net cash flow from operating activities (a) 176,930
Cash Flow from Investing activities
Old Plant assets sold 1,350
New plant assets purchased -90,000
Long-term investments purchased -29,000
Net cash Flow from Investing activities (b) -117,650
Cash Flow from Financing activities
Cash dividends paid -23,427
Common stock issued 45,000
Bonds paid -36,000
Net cash Flow from Financing activities (c) -14,427
Net Change in cash c=a+b+c 44,853
Add: Beginning cash balance 48,400
Closing cash balance 93,253
how will a new front desk manager address a problem of lateness in a hotel.
Answer:
They will have a system like a lot book where they would take in the visitors details and then Mark in or out and time of arrival and leaving
Hope this helps :)
Explanation:
Bramble Corp. recorded operating data for its shoe division for the year. Sales$1300000 Contribution margin360000 Controllable fixed costs180000 Average total operating assets720000 How much is controllable margin for the year
Answer:
controllable margin for the year is $180,000.
Explanation:
The Controllable Margin is the Profit that is controllable by the divisional manager.
Calculation of Controllable Margin :
Contribution Margin $360,000
Less Controllable fixed costs ($180,000)
Division Controllable Margin $180,000
Q3) Creative Sports Design (CSD) manufactures a standard-size racket and an oversize racket. The firm’s rackets are extremely light due to the use of a magnesium-graphite alloy that was invented by the firm’s founder. Each standard-size racket uses 0.125 kilograms of the alloy and each oversize racket uses 0.4 kilograms; over the next two-week production period only 80 kilograms of the alloy are available. Each standard-size racket uses 10 minutes of manufacturing time and each oversize racket uses 12 minutes. The profit contributions are $10 for each standard-size racket and $15 for each oversize racket, and 40 hours of manufacturing time are available each week. Management specified that at least 20% of the total production must be the standard-size racket. How many rackets of each type should CSD manufacture over the next two weeks to maximize the total profit contribution? Assume that because of the unique nature of their products, CSD can sell as many rackets as they can produce.
Answer:
165 oversize rackets = 32 machine hours (79.71% of total production)
42 standard size rackets = 7 machine hours (20.29% of total production)
total profit contribution = (165 x $15) + (42 x $10) = $2,895
Explanation:
materials machine hours profit
standard size 0.125 kg 1/6 $10
oversize 0.4 kg 1/5 $15
constraints 80 kilograms of materials
40 hours of manufacturing
profit per machine hour:
standard size $10 x 6 = $60 x 40 hours = $2,400 (total possible production = 240 rackets)
oversize $15 x 5 = $75 x 40 hours = $3,000 (total possible production = 200 rackets)
profit per kilogram of alloy:
standard size $10 / 0.125 = $80 x 80 kgs = $6,400 (total possible production = 480 rackets)
oversize $15 / .4 = $37.50 x 80 hours = $3,000 (total possible production = 200 rackets)
since the most important constraint is the manufacturing hours available, the company should try to produce the products that yield the highest contribution margin per machine hour. In this case, at least 20% of total production must be standard size rackets, so the remaining 80% should be oversize rackets that yield a higher profit.
165 oversize rackets = 32 machine hours (79.71% of total production)
42 standard size rackets = 7 machine hours (20.29% of total production)
total manufacturing time = 40 hours
if we produce 166 oversize rackets and 41 standard size rackets, total manufacturing time will exceed 40 hours (40.03 hours exactly).
Which one of these is the best description of a comparative market analysis? It shows what similar homes in the area have recently sold for It shows the list prices of similar homes in the area It’s a guide to the minimum acceptable offer It discloses issues with the home that are known to the seller
Answer:
It shows what similar homes in the area have recently sold for.
Explanation:
Answer:
The statement "It shows the same types of homes in the area that are presently sold" is considered to be the best description for the comparative market analysis.
Explanation:
A comparative market analysis is a tool that is used by the real estate agent in order to remove the value of the particular property via evaluation of the same types of homes that could be presently sold in a similar area.
For finding the best description regarding the comparative market analysis, we need to determine the following information:
It does not show the list prices of the same types of homes in the area.It does not guide for a minimum acceptable offer.Also, it does not disclose the issues for the income that are aware to the seller.Therefore we can conclude that the first statement is correct
Learn more about the comparative market analysis here: brainly.com/question/16715737
It is important negotiators consider the shadow negotiation carefully before meeting with the other party so they:________
a. understand where the boundaries of the current negotiations are and should be.
b. are clear in their own minds about the scope of the negotiations.
c. understand how they would ideally like to work with the other party.
d. determine what ground the negotiation is going to cover and how the negotiators are going to work together.
e. understand that all the above are important to the shadow negotiations.
Answer:
b. are clear in their own minds about the scope of the negotiations.
Explanation:
Shadow negotiations refer to the unspoken assumptions that determine how those involved in a deal with each other, whose opinions get heard, whose interests hold sway. Therefore, this is important so the negotiators are clear in their own minds about the scope of the negotiations. Meaning that they go into the negotiation knowing who has more bargaining power and how far they can actually take the negotiation.
Which of the following goals of a performance evaluation system is accomplished when the company's actual results are compared to industry standards?
A) Benchmarking
B) Motivating unit managers
C) Promoting goal congruence
D) Providing feedback
Answer:
A) Benchmarking
Explanation:
Benchmarking refers to a process in which the performance of the company could be measured with respect to the product, services, processes as compared with the industry performance
Here in the given situation, when an actual result is compared with the industry standards than we called as a benchmarking and the same is to be used for the evaluation of the performance system
Cantor Corporation acquired a manufacturing facility on four acres of land for a lump-sum price of $9,000,000. The building included used but functional equipment. According to independent appraisals, the fair values were $4,500,000, $3,000,000, and $2,500,000 for the building, land, and equipment, respectively. The initial values of the building, land, and equipment would be:
Answer:
Initial value of building = $4,050,000
Initial value of land = $2,700,000
Initial value of equipment = $2,250,000
Explanation:
The fair value of an asset refers to a unbiased estimate of the likely market price of the asset.
The initial value of a fixed asset refers to the amount of money that spent to acquire or create the asset.
The initial value of each asset from a group of asset can be calculated using the following formula:
Initial value of an asset = Lump-sum price * (FVA / TFV) ............ (1)
Where, from the questio;
Lump-sum price = $9,000,000
FVA = Fair value of a particular asset. From the question, we have:
Building fair value = $4,500,000
Land fair value = $3,000,000
Land fair value = $2,500,000
TFV =Total fair value = Building fair value + Land fair value + Land fair value = $4,500,000 + $3,000,000 + $2,500,000 = $10,000,000
Substituting the values into equation (1), we can determine the initial value of each asset as follows:
Initial value of building = $9,000,000 * ($4,500,000 / $10,000,000) = $9,000,000 * 0.45 = $4,050,000
Initial value of land = $9,000,000 * ($3,000,000 / $10,000,000) = $9,000,000 * 0.30 = $2,700,000
Initial value of equipment = $9,000,000 * ($2,500,000 / $10,000,000) = $9,000,000 * 0.25 = $2,250,000
who are the customers for textbooks? What do these customers want in terms of goods and services related to textbooks? From the publishers point of view, who are the key customer?
Answer:
the customers for textbooks are students and schools
Do you believe the cash flows from investing activities should include not only the return of investment, but also the return on investment, that is the interest and dividend revenue?
Answer:
Yes. Cash flows from investing activities should also include return on investment.
Explanation:
Dividend and Interest revenue arise as a result of the Investments that were made by the company and as such constitutes cash flow from investing activities of a Company.
The advantages of using typedef do not include:a. Making programs more portable by allowing data types to be easily changed to meet system specifications.b. Making type names shorter.c. Making programs more readable.d. Increasing the efficiency of accessing struct member variables.
Answer:
d. Increasing the efficiency of accessing struct member variables.
Explanation:
In the programming language C and C++ there is a keyword i.e typedef that function is to provide a new name. It is to be used to develop an extra name for the other data type but it does not develop a new data type
Here the advantage of using typedef is as follows
1. It allows the data types for meeting the specifications of the system
2. The name would become shorter
3. Readable program
but it does not increase the efficiency
Hence, the last option is correct
The amortization of bond premium on long-term debt should be presented in a statement of cash flows (using the indirect method for operating activities) as a(n)
Answer:
Operating Activity
Explanation:
The Indirect method, reconciles the Operating Profit to the Operating Cash Flow by adjusting the following items (1) Non Cash flow items previously added or deducted from Operating Profit and (2) Changes in Working Capital items.
Amortization of bond premium is an item of non-cash flow that was previously deducted from Operating Profit and needs to be added back.
A project has estimated annual net cash flows of $56,600. It is estimated to cost $339,600.
Required:
Determine the cash payback period.
Answer:
It will take exactly 6 full years to cover for the initial investment.
Explanation:
Giving the following information:
Cash flow= $56,600
Initial investment= 339,600
The payback period is the time required for the cash flow to cover the initial investment:
Year 1= 56,600 - 339,600= -283,000
Year 2= 56,600 - 283,000= -226,400
Year 3= 56,600 - 226,400= -169,800
Year 4= 56,600 - 169,800= -113,200
Year 5= 56,600 - 113,200= -56,600
Year 6= 56,600 - 56,600= 0
It will take exactly 6 full years to cover for the initial investment.
Ohno Company specializes in manufacturing a unique model of bicycle helmet. The model is well accepted by consumers, and the company has enough orders to keep the factory production at 10,000 helmets per month (80% of its full capacity). Ohno’s monthly manufacturing cost and other expense data are as follows.
Rent on factory equipment $11,600
Insurance on factory building 2,500
Raw materials (plastics, polystyrene, etc.) 79,700
Utility costs for factory 900
Supplies for general office 300
Wages for assembly line workers 63,700
Depreciation on office equipment 800
Miscellaneous materials (glue, thread, etc.) 1,200
Factory manager’s salary 6,400
Property taxes on factory building 500
Advertising for helmets 14,500
Sales commissions 10,600
Depreciation on factory building 1,600
Required:
Prepare an answer sheet with the following column headings:
Cost Item Direct Materials Direct Labor Manufacturing Overhead Period Costs
Answer:
Cost Item Direct Direct Manufacturing Period
materials labor overhead costs
Rent on factory $11,600
equipment
Insurance on $2,500
factory building
Raw materials $79,700
Utility costs $900
for factory
Supplies for $300
general office
Wages assembly $63,700
line workers
Depreciation on $800
office equipment
Miscellaneous $1,200
materials
Factory manager’s $6,400
salary
Property taxes on $500
factory building
Advertising for $14,500
helmets
Sales commissions $10,600
Depreciation on $1,600
factory building
TOTALS $79,700 $63,700 $24,700 $26,200
Bryce Co. sales are $801,000, variable costs are $465,100, and operating income is $287,000. What is the contribution margin ratio
Answer:
Contribution margin ratio= 0.42
Explanation:
Giving the following information:
Bryce Co. sales are $801,000
Variable costs are $465,100
Operating income is $287,000.
To calculate the contribution margin ratio, we need to use the following formula:
contribution margin ratio= (sales - variable cost) / sales
contribution margin ratio= (801,000 - 465,100) / 801,000
contribution margin ratio= 0.42
You find a zero coupon bond with a par value of $10,000 and 14 years to maturity. The yield to maturity on this bond is 5.1 percent. Assume semiannual compounding periods. What is the price of the bond
Answer:
Bond Price = $4940.8468 rounded off to $4940.85
Explanation:
The price of a zero coupon bond is simply calculated by calculating the present value of the face value of the bond that the bond pays at maturity. The formula for the price of a zero coupon bond is,
Bond Price = Face Value / ( 1 + r )^n
Where,
r is the rate or YTM n is the number of periods left to maturityAssuming that the r or YTM is always stated in annual terms, the semi annual YTM will be 5.1% / 2 = 2.55%
Assuming semi annual compounding periods, the total number of periods or n will be,
n = 14 * 2 = 28
Bond Price = 10000 / (1 + 0.0255)^28
Bond Price = $4940.8468 rounded off to $4940.85
Assume you have a margin account with a 50% initial margin. You purchase 100 shares of stock at $80 per share. The price increases to $100 per share. What is the net value of your investment (margin) now
Answer:
Net value of the investment (margin) is $6,000
Explanation:
The initial margin = (100 shares * $80) * 50%
The initial margin = $4,000
Increase in the Margin value = 100 shares* ($100-$80)
Increase in the Margin value = 100 shares * $20
Increase in the Margin value =$2,000
Net value of the investment (margin) = $4,000 + $2,000
Net value of the investment (margin) = $6,000
Harry and Sally formed the Evergreen partnership by contributing the following assets in exchange for a 50 percent capital and profits interest in the partnership.
Basis Fair Market Value Harry:
Cash $30,000 $30,000
Land $100,000 $120,000
Totals $130,000 $150,000
Sally:
Equipment used in business $200,000 $150,000
Totals $200,000 $150,000
a. How much gain or loss will Harry recognize on the contribution?
b. How much gain or loss will Sally recognize on the contribution?
c. Should Sally consider selling the property to the partnership rather than contributing it?
A. Yes
B. No
Answer:
a) $0
Generally, partners recognize gain on property contributed to a partnership only when the cash they are deemed to receive from debt relief exceeds their basis in the partnership prior to the deemed distribution. Harry did not have any debt relief.
b) $0.
Partners may never recognize loss when property is contributed to a partnership even when they are relieved of debt.
c) Sally should consider selling the property to the partnership rather than contributing it. By selling the property, she could recognize the $50,000 built-in loss on the equipment.
Solve the consumer’s problem for John’s optimal demand for Germ-X and Purell. (You should find actual numbers representing the quantity of Germ-X chosen and the quantity of
Answer:
Hello your question is incomplete below is the missing part and the needed diagram
suppose John is shopping and has $20 to spend on hand sanitizer. He can go with Germ-X (G) at $1 per fluid ounce (pG=1), or he can purchase purell (P) at $1.25 per fluid ounce (Pp=1.25). His utility function for the two different hand sanitizers is as follows:
U = G +1.1P
where G and P are measured in fluid ounces.
Solve the consumer’s problem for John’s optimal demand for Germ-X and Purell. (You should find actual numbers representing the quantity of Germ-X chosen and the quantity of purell chosen
ANSWER: The solution = (Germ-x,Purell ) = (20,0).
Explanation:
The consumers problem for John's optimal demand for Germ-x and Purell as seen in the diagram can solved by John going maximizing his utility given the constraint of the budget,
that means that John will purchase/spend the constrained budget of ($20) on Germ-x since the unit price of Germ X is at $1 while Purell's unit price is at $1.25 per fluid ounce
What was the ratio of per capita income in each of the following countries to that in the United States in the year 2010:
a. Ethiopia
b. Mexico
c. India
d. Japan
Answer:
For Countries (per capita) United States of America (per capita)
Ethiopia:
$380 $48,468
Mexico:
$9,271 $48,468
India:
$1,358 $48,468
Japan:
$44,508 $48,468
Explanation:
Ratio per Capita also known as Gross Domestic Product per Capita (GDP Capita) is the monetary measure of the market value of all the final goods and services produced in a specific time period within the country in view. It is useful for comparing national economies of different countries on the international market.
In decision making under ________, there are several possible outcomes for each alternative, and the decision maker knows the probability of occurrence of each outcome
Answer: risk
Explanation:
In the decision making under risk, there are several possible outcomes for each alternative, and the decision maker knows the probability of occurrence of each outcome.
Unlike in uncertainties whereby the decision maker won't know the probability of the occurrence of the outcomes, in risk, one is aware.
Geese Company utilizes the LIFO retail inventory method. Its cost-to-retail percentage is 60% based on beginning inventory and 64% based on current-period purchases. The company determined that beginning inventory at retail was $200,000 and that during the current period a new layer was added with retail value of $50,000. The cost of ending inventory should be
Answer:
$152,000
Explanation:
Calculation for the cost of the ending inventory
First step is to calculate the cost-to-retail percentage of the beginning inventory amount
Using this formula
Beginning Inventory =Cost-to-retail percentage*Beginning inventory at retail
Let plug in the formula
Beginning Inventory =60%*$200,000
Beginning Inventory =$120,000
Second step is to calculate current-period purchases percentage of the new layer amount
Using this formula
Current period purchases= Purchases percentage* New layer
Let plug in the formula
Current period purchases=64%*50,000
Current period purchases=$32,000
The last step is to find the cost of the ending inventory using this formula
Ending inventory cost=Beginning Inventory+Current period purchases
Let plug in the formula
Ending inventory cost=$120,000+$32,000
Ending inventory cost=$152,000
Therefore the cost of the ending inventory will be $152,000
Steady Company's stock has a beta of . If the risk-free rate is and the market risk premium is , what is an estimate of Steady Company's cost of equity?
The question is incomplete as it misses the figures. The following is the complete question.
Steady Company's stock has a beta of 0.21. If the risk-free rate is 6.2% and the market risk premium is 6.9%, what is an estimate of Steady Company's cost of equity?
Answer:
The cost of equity is 0.07649 or 7.649%
Explanation:
The required rate of return or cost of equity capital is the rate required by the investors to invest in a stock based on the systematic risk of the stock as measure by the beta. The required rate of return or cost of equity can be calculated using the CAPM equation. The CAPM equation is,
r = rRF + Beta * rpM
Where,
rRf is the risk free raterpM is the risk premium on marketr = 0.062 + 0.21 * 0.069
r = 0.07649 or 7.649%
An annuity provides for 30 annual payments. The first payment of 100 is made immediately and the remaining payments increase by 8 percent per annum. Interest is calculated at 13.4 percent per annum. Calculate the present value of this annuity.
Answer:
$1423.38
Explanation:
number of payments ( number of years )(n) = 30
first payment = $100
interest calculated at : 13.4 % = 0.134
increment rate : 8 percent = 0.08
we can calculate the present value using this Equation
= (p / (r-g)) * [1 - [(1+g)/(1+r)]^n ]
where :
p / (r-g) = 100 / (0.134 - 0.08 ) = $1852
[1 - ((1+g)/(1+r)]^n ) = (1 - ((1.08/1.134)^30 ) = 0.7686
hence the present value of this annuity = $1852 * 0.7686 = $1423.38
Note :
p ( first principal payment ) = $100
r ( calculated interest ) = 13.4% = 0.134
g ( increment interest ) = 8 % = 0.08
