Answer:
1.71
Explanation:
Systemic risk is measured by beta. The higher beta is, the higher the systemic risk and the higher the compensation demanded for by investors
The market has a beta of one. If a portfolio has the same level of systematic risk that is the same as that of the market, its beta would be equal to 1.
The beta of a risk free asset is zero
The portfolio's beta can be determined by adding together the weighted beta of each stock in the portfolio
weighed beta of a stock = percentage of the stock in the portfolio x beta of the stock
1 = (0.3 x 1.62) + (0.3 x 0) + (0.3 x a)
1 = 0.486 + 0 + 0.3a
1 - 0.486 = 0.3a
a = 1.71
(a) A lamp has two bulbs of a type with an average lifetime of 1800 hours. Assuming that we can model the probability of failure of these bulbs by an exponential density function with mean μ = 1800, find the probability that both of the lamp's bulbs fail within 2000 hours.
(b) Another lamp has just one bulb of the same type as in part (a). If one bulb burns out and is replaced by a bulb of the same type, find the probability that the two bulbs fail within a total of 1000 hours.
Answer:
a) 0.45
b) 0.11
Explanation:
A) P( both bulbs fail within 2000 hours ) = 0.45
Given data:
Average lifetime of bulbs = 1800 hours
mean μ = 1800
b) P( both bulbs fail within 1000 hours ) =
Attached below is a detailed solution of the given question
Compound value solving for n) How many years will the following take? a. $ to grow to $ if invested at percent compounded annually b. $ to grow to $ if invested at percent compounded annually c. $ to grow to $ if invested at percent compounded annually d. $ to grow to $ if invested at percent compounded annually
Answer:
Note: The complete question is attached below as picture
A = P(1+r/100)^n Where A is future value, P is present value, r is rate of interest and n is time period
1. A = P(1+r/100)^n
1042.51 = 480(1.09)^n
(1042.51/480) = 1.09^n
Taking log on both sides
log(1042.51/480) = n*log 1.09
n = log(1042.51/480)/log 1.09
n = 9 years.
2. A = P(1+r/100)^n
53.26 = 31(1.07)^n
(53.26/31) = 1.07^n
Taking log on both sides
log(53.26/31) = n*log 1.07
n = log(53.26/31)/log 1.07
n = 8 years
3. A = P(1+r/100)^n
383.59 = 100(1.13)^n
(383.59/100) = 1.13^n
Taking log on both sides
log(383.59/100) = n*log 1.13
n = log(383.59/100)/log 1.13
n = 11 years.
4. A = P(1+r/100)^n
66.91 = 53(1.06)^n
(66.91/53) = 1.06^n
Taking log on both sides
log(66.91/53) = n*log 1.06
n = log(66.91/53)/log 1.06
n = 0.10121516027 / 0.025306
n = 3.9997
n = 4 years.
A trust has been established to fund scholarships in perpetuity. The next annual distribution will be $1,200, and future payments will increase by 3 percent per year. What is the value of this trust at a discount rate of 7.4 percent
Answer:
PV= $27,272.73
Explanation:
Giving the following information:
Annual distribution (Cf)= $1,200
Interest rate (i)= 7.4% = 0.074
Growth rate (g)= 3% = 0.03
To calculate the present value (PV) of the fund, we need to use the following formula:
PV= Cf / (i - g)
PV= 1,200 / (0.074 - 0.03)
PV= $27,272.73
Based on predicted production of 26,000 units, a company anticipates $507,000 of fixed costs and $448,500 of variable costs. The flexible budget amounts of fixed and variable costs for 24,000 units are (Do not round intermediate calculations):
Answer:
u may do addition I think from that process
On January 2, 2021, L Co. issued at face value $22,000 of 3% bonds convertible in total into 1,400 shares of L's common stock. No bonds were converted during 2021. Throughout 2021, L had 1,400 shares of common stock outstanding. L's 2021 net income was $4,000. L's income tax rate is 30%. No potential common shares other than the convertible bonds were outstanding during 2021. L's diluted earnings per share for 2021 would be:
Your firm is considering a project with a discount rate of 9%. If you start the projecttoday, your firm will incur an initial cost of $490 and will receive cash inflows of$365 per year for 3 years. If you instead wait one year to start the project, the initial cost will rise to $530 and the cash flows will increase to $405 a year for the following 3 years. Would your firm be better off starting the project now or waiting to start the project in a year? Explain clearly including an estimate of the value of the option to wait.
Answer:
If the company start the project today then NPV of the project,
Year Cash Flow PV of Cash flow
0 -490 -490
1 365 365/1.09= 334.86
2 365 365/1.09^2 = 307.21
3 365 365/1.09^3= 281.85
NPV = 433.92
NPV of Project0= $ 433.92
If a company start a project after one year,
Year Cash Flow PV of Cash flow
0 0 0
1 -530 -530/1.09= -486.24
2 405 405/1.09^2 =340.88
3 405 405/1.09^3 = 312.73
4 405 405/1.09^4 = 286.91
NPV = 454.28
NPV of Project1= $ 454.28
Here for project start after one year has more Net Present Value of cash flow compared to which start now.
So, Starting a project after one year is more profitable.
Thomlin Company forecasts that total overhead for the current year will be $12,300,000 with 150,000 total machine hours. Year to date, the actual overhead is $8,270,500, and the actual machine hours are 97,300 hours. If Thomlin Company uses a predetermined overhead rate based on machine hours for applying overhead, as of this point in time (year to date), the overhead is a.$291,900 overapplied b.$291,900 underapplied c.$158,100 overapplied d.$158,100 underapplied
Answer:
b. $291,900 underapplied
Explanation:
With regards to the above information, we will calculate the predetermined overhead rate first.
Predetermined overhead rate = Estimated total overhead / Total machine hours
= $12,300,000 / 150,000
= $82 per machine hours
Total overhead = Predetermined overhead rate × Actual total machine hours
= $82 × 97,300
= $9,798,600
Then,
Overhead = Total overhead - Actual overhead
= $9,798,600 - $8,270,500
= $291,900 underapplied
Shelton Co. purchased a parcel of land six years ago for $860,500. At that time, the firm invested $132,000 in grading the site so that it would be usable. Since the firm wasn't ready to use the site itself at that time, it decided to lease the land for $47,500 a year. The company is now considering building a warehouse on the site as the rental lease is expiring. The current value of the land is $912,000. What value should be included in the initial cost of the warehouse project for the use of this land
The value should be included in the initial cost of the warehouse project for the use of this land is $912,000.
When embarking on a project, the value of the assets to be used should be their current market value because they reflect the current state of the assets at the time the project was embarked on thereby allowing for more accurate analysis for instance in terms of depreciation or net worth of the project.
The current market price of the parcel of land as the firm is about to embark on a project is $912,000 so this should be the considered the initial cost of project in terms of land.
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Stine Inc. had 1,000,000 shares of common stock issued and outstanding at December 31, 2020. On July 1, 2021 an additional 1,000,000 shares were issued for cash. Stine also had stock options outstanding at the beginning and end of 2021 which allow the holders to purchase 300,000 shares of common stock at $28 per share. The average market price of Stine's common stock was $35 during 2021. The number of shares to be used in computing diluted earnings per share for 2021 is
The number of shares to be used in computing diluted earnings per share for 2021 is 1,560,000
Diluted earnings per share=(1,000,000* 6/12) + (2,000,000 *6/12) + [((35 – 28) ÷35) *300,000]
Diluted earnings per share=500,000+1,000,000+60,000
Diluted earnings per share= 1,560,000
Therefore The number of shares to be used in computing diluted earnings per share for 2021 is 1,560,000
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A manufacturer uses machine hours to assign overhead costs to products. Budgeted information for the next year follows. Budgeted factory overhead costs $ 669,600 Budgeted machine hours 7,200 Compute the plantwide overhead rate for the next year based on machine hours.
Answer: $93 per machine hour
Explanation:
The plantwide rate shows the cost per labor hour(machine hour in this case) for overhead incurred by the entire production plant.
Plantwide overhead rate based on machine hours:
= Budgeted factory overhead costs / Budgeted machine hours
= 669,600 / 7,200
= $93 per machine hour
Colorado Cleaning has a 5-year maximum acceptable payback period. The firm is considering the purchase of a new washing machine and must choose between two alternative ones. The first machine requires an initial investment of $25,000 and generates annual after-tax cash inflows of $6,500 for each of the next 8 years. The second machine requires an initial investment of $75,000 and provides an annual cash inflow after taxes of $9,500 for 15 years.
Required:
a. Determine the payback period for each machine.
b. Comment on the acceptability of the machines, assuming that they are independent projects.
c. Which machine should the firm accept? Why?
d. Do the machines in this problem illustrate any of the weaknesses of using payback? Discuss.
Answer:
a) Payback period = period up to which cumulative cash flow is negative +
(negative cumulative cash flow /cash flow succeeding
the above period)
Project A - Up to year 4 ,cash flow recovered = 3000 * 4 = 12,000
Payback period =14,000/3,000 = 4.67 years
Project B= Cash flow recovered up to year 5 = 4000 * 5 = 20000
Payback period = 21,000/4,000 =5.25 years
b) On the basis of the Payback period, Project A should be selected, as it has a lower payback period and is also within the maximum acceptable payback period. back period.(4.67 < 5)
Project B should not be selected as its payback recovery is not within the maximum acceptable payback period (5.25 >5 )
c) Machine A should be selected as it has a lower payback period. than machine B.
d)The payback period ignores the life present value of cash flow and also the life of the machine each project has.
so the decision on the basis of the payback period may not be accurate.
Variable costs as a percentage of sales for Lemon Inc. are 71%, current sales are $551,000, and fixed costs are $207,000. How much will operating income change if sales increase by $37,600? a.$10,904 increase b.$26,696 decrease c.$26,696 increase d.$10,904 decrease
Answer: a.$10,904 increase
Explanation:
Operating income before sales increase:
= Sales - Variable costs - Fixed costs
= 551,000 - (71% * 551,000) - 207,000
= -$47,210
Operating income after sales increase:
Sales increases to:
= 551,000 + 37,600
= $588,600
= 588,600 - (71% * 588,600) - 207,000
= -$36,306
Difference:
= -47,210 - (-36,306)
= Increase of $10,904
In his work Divine Comedy, the 14-century Italian poet Dante described a trip into space. As he traveled away from Earth, he visited the following celestial bodies in order: the moon, Mercury, Venus, the sun, Jupiter, and Saturn. What view of solar system structure did Dante hold? How do you know? Compare this view with a modern understanding of the solar system’s structure.
According to Italian poet Dante;
Dante believed in a geocentric conception of the planetary system, wherein the Earth seems to be at the centre while the moon, sun, and other planets revolve around it.
Explanation:
Researchers understand Dante had a geocentric perspective of the solar system since he would have visited Venus earlier Mercury in a sun-centered worldview.According to Dante's interpretation of the solar system, the crescent, sun, and planet all revolve around Earth. According to current thinking, only the moon revolves Earth; the Earth and then all the planets remain in orbit of sun.Learn more:
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You are considering investing in the stock of PartyWagon, Inc. You expect a dividend of $1.25 next year, $1.31 in year 2, and $1.38 in year 3. At the end of three years, you expect to be able to sell the stock for $65. If you can purchase the stock for $32, what rate of return do you expect to earn
Answer: 29.93%
Explanation:
You can use Excel to solve for this.
Bear in mind that when given a series of cashflows, the expected return is the Internal Rate of Return (IRR).
Initial investment = $32
First cashflow = $1.25
Second cashflow = $1.31
Third cashflow = $1.38 + $65 selling price = $66.38
IRR = 29.93%
Last year, you purchased a stock at a price of $64.00 a share. Over the course of the year, you received $2.20 per share in dividends and inflation averaged 2.7 percent. Today, you sold your shares for $69.00 a share. What is your approximate real rate of return on this investment
Answer:
8.55%
Explanation:
Calculation to determine your approximate real rate of return on this investment
First step is to calculate the Nominal return
Nominal return = ($69 - $64+ $2.20)/$64
Nominal return=7.2/$64
Nominal return= 0.1125
Now let calculate the Approximate real return
Approximate real return = 0.1125 - 0.027
Approximate real return= 0.0855*100
Approximate real return=8.55%
Therefore your approximate real rate of return on this investment is 8.55%
Vincent corporation has 100,00 shares of 100 par common stock outstanding. on june30 ,Vincent corporation declared a 5% stock dividend to be issued on July 30 to stockholders of record july15. the market price of the stock was $132 a share on June 30. journalize the entries required on June 30 and july30
The common stock that is seen here would be $500000
What is the common stock outstanding?This is the term that would simply be used to refer to all of the shares that the shareholders of a company as well as the people that are the insiders in the company would own.
How to solve for the journal entriesThe retained earnings is given as
$132 * 0.05
= $6.6
= 6.6 x 100000
= 660000
The debit is $660000
The credit is 100000 x 5 = 500000
paid in capital in excess of par = 660000 - 500000
= $160000
The stock dividend distributable = $500000
common stock is given as $500000
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Ultimo Co. operates three production departments as profit centers. The following information is available for its most recent year. Which department has the greatest departmental contribution to overhead (in dollars) and what is the amount contributed
Answer: Department 3 had the greatest contribution to overhead of $362,000
Explanation:
Contribution to overhead = Sales - Cost of Goods sold - Direct expense
Department 1:
= 1,140,000 - 714,000 - 114,000
= $312,000
Department 2:
= 540,000 - 164,000 - 54,000
= $322,000
Department 3:
= 840,000 - 314,000 - 164,000
= $362,000
The bottom-up method of estimating where work package time and costs for past projects are used as a starting point for a new project and adjustments are made based on differences in the new project is known as the ___________.
a. range estimating.
b. phase estimating method.
c. WBS method.
d. template method.
e. parametric procedure.
Pick the correct statement from below. Multiple Choice Project analysis should only include the cash flows that affect the income statement. A project can create a positive operating cash flow without affecting sales. The depreciation tax shield creates a cash outflow for a project. Interest expense should always be included when analyzing cost-cutting projects. A bid price maximizes profits on a project for the bidding firm.
Answer:
A project can create a positive operating cash flow without affecting sales.
Explanation:
A project cash flow analysis permits to look the cash inflows and cash outflows that are along with the existing or upcoming project. Also it addressed the opportunity cost
So as per the given situation, it involved that project in which it establish the positive operating cash flow without impacting the sales
Therefore as per the given options, the above statement represent an answer
Costly Corporation is considering using equity financing. Currently, the firm's stock is selling for $26.00 per share. The firm's dividend for next year is expected to be $4.90 with an annual growth rate of 8.0% thereafter indefinitely. If the firm issues new stock, the flotation costs would equal 11.0% of the stock's market value. The firm's marginal tax rate is 40%. What is the firm's cost of internal equity
Answer: 26.85%
Explanation:
Based on the information given in the question, the firm's cost of internal equity will be calculated as:
Cost of equity = (D1/Current price) + Growth rate
= (4.90 / 26.00) + 8.0%
=(4.9/26) + 0.08
=26.85%
Therefore, the firm's cost of internal equity is 26.85%.
A firm has estimated Free Cash Flows of $300,000, $310,000 and $360,000 for the next three (3) years. If this firm has a WACC of 9.40% and expects these cash flows to grow by 2.10% in perpetuity, then what is the Terminal Value of these expected perpetual cash flows.
Answer: $5,035,068.49
Explanation:
Terminal value is calculated based on the last cashflow and the growth rate in perpetuity.
The Gordon Growth Model is best used here:
= Free Cash Flow₄ / (WACC - Growth rate)
= (FCF₃ * (1 + growth rate) ) / (WACC -Growth rate)
= (360,000 * (1 + 2.10%)) / (9.40% - 2.10%)
= 367,560 / 7.3%
= $5,035,068.49
g provides the following income statement for 20X9: Net Sales $240,000 Cost of Goods Sold 110,000 Gross Profit $130,000 Operating Expenses: Selling Expenses 45,000 Administrative Expenses 12,000 Total Operating Expenses 57,000 Operating Income $73,000 Other Income and (Expenses): Loss on Sale of Capital Assets (29,000) Interest Expense (1000) Total Other Income and (Expenses) (30,000) Income Before Income Taxes $43,000 Income Tax Expense 5000 Net Income $38,000 Calculate the times-interest-earned ratio.
Answer: 44 times
Explanation:
Times interest earned ratio aims to show just how much the company is able to cover its interest obligations using its operating income.
Times interest earned ratio = Net income before interest / Interest expense
Net income before interest = Operating income loss on sale of capital assets
= 73,000 - 29,000
= $44,000
Times interest earned ratio = 44,000 / 1,000
= 44 times
When Teresa Carleo, the owner of Plant Fantasies, started her business, staying with the business for the first few years was difficult for her. Though it was inconvenient, she decided to work from home to avoid paying the rent for office space. Teresa's decisions to stay with the business and work from home exemplify _____. a.long-term strategic plans b.options-based planning c.workplace deviance d.production blocking Teresa Carleo made the decision to start her business and work from her apartment to save money by not paying rent. Which of the following kinds of operational plans does Teresa's decision to work from home exemplify
Answer: Long-term strategic plans; Budgeting
Explanation:
Since Teresa decides to St with the business even though it was difficult for her, this exemplifies long term strategic plan.
Long-term strategic plan is a plan that is necessary to achieve the organizational goals which the business can achieve in five or more years ahead.
Since Carleo made the decision to start her business and work from her apartment to save money by not paying rent, this decision to work from home exemplifies budgeting.
Gotiable sells straw hats for $24 each. The April inventory purchases are summarized below. Gotiable sold 142 hats at a hat festival on April 28. Units Cost each Dollars Beg. Inv. 84 3 252 April 2 75 4 300 April 14 66 7 462 April 23 52 8 416
Assume that Gotiable uses the average cost method for inventory costing.
1. What is the average cost of one hat? (Round to the nearest penny (2 decimal points)).
2. What will be the dollar value of the inventory on the April 30th balance Sheet? (Round to the nearest dollar)
3. What will Gotiable report as Gross margin for the hats for the month of April? (Round to the nearest dollar)
Answer and Explanation:
The computation is shown below:
1.
Particulars Units Unit Cost Dollars
Beg. Inv. 84 $3 $252
Apr-02 75 $4 $300
Apr-14 66 $7 $462
Apr-23 52 $8 $416
Total 277 $1,430
Average cost of one hat is
= Total cost of purchases ÷ Units purchased
= $1,430 ÷ 277 units
= $5.16
2.
Ending Inventory in Units = Units purchased - Units sold
= 277 units - 142 units
= 135 units
Now
Value of Ending Inventory = Units in Ending Inventory × Average cost per unit
= 135 units × $5.16
= $696.60
= $697
3
Gross Margin = Units sold × (Selling Price - Cost of goods sold)
= 142 units × ($24 - $5.16)
= $2,675.28
= $2,675
Explain the manufacturing flow management process and the relationship among manufacturers' production capabilities and costs, suppliers, shippers, and demand for goods. Briefly define and explain the differences between lean and agile supply chain strategies.
Answer:
The difference between lean and agile is the fluidity with the response to the market. A lean supply chain focuses on cutting costs by producing high volumes of products with low variability. An agile supply chain focuses on responding to the market demand with smaller, customizable batches of items.
A lean supply chain prioritizes cost reduction by producing goods in large quantities and with little variation. An agile supply chain focuses on producing things in smaller, more individualized quantities in response to market demand.
What is a supply chain?The entire process from when a consumer places an order to when the goods or service is delivered and paid for is known as the supply chain. The value and supply chains are coordinated and optimized by the supply chain manager.
He is in charge of ensuring the flawless operation of every process, from the acquisition of raw materials to production, logistics, and client delivery.
As a result, the company, its customers, and its customers' customers are all included in the supply chain. A supply network accounts for the possibility that one of the providers is also a supplier to a customer or even the final consumer.
The monitoring of all resources, data, and finances used in the production process, from the supplier to the manufacturer to the merchant and consumer, is referred to as supply chain management (SCM) or supply chain management.
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Assume that an analyst is using the constant dividend growth model to value a stock. Which of the following scenarios would be certain to cause her to decrease her estimate of the stock's value (assuming, of course, that all other factors are held constant)?
A. She believes the company has become riskier, and therefore increases her required rate of return for the stock.
B. She increases her estimate of the company’s next year’s dividend.
C. She increase her estimate of the expected annual rate of growth in the company’s dividends.
D. She decreases her required rate of return for the stock.
E. None of the above would cause her to decrease her estimate of the stock’s value.
Answer: A. She believes the company has become riskier, and therefore increases her required rate of return for the stock.
Explanation:
The formula for the Constant dividend growth model of valuing stock is:
= Next dividend / (Required return - growth rate)
From the formula above, one can tell that if the required return is higher, it would result in a lower value for stock because it would divide the numerator more.
If the analyst believes that the company is riskier and increases the required return, the value would therefore reduce if other measures are kept constant.
theo bạn, 1 sản phẩm đáng bán rất tốt có cần thiết đưa hàng hóa đó lên mạng không?
Question 18
What would be the best appraisal approach to use in estimating the market value of an athletic stadium?
a) Sales comparison
b) Cost
c) Direct capitalization
d) Yield capitalization
Answer:
It's option B. cost
I recently learned about it in my marketing course.
The ultimate goal of contract damages is: Multiple Choice Put the nonbreaching party where it was before the contract was formed. Return any costs incurred by the nonbreaching party. Put the nonbreaching party where it was prior to breach. Put the nonbreaching party in the best position possible. Give the nonbreaching party the benefit of its bargain.
Answer:
Give the nonbreaching party the benefit of its bargain.
Explanation:
A contract can be defined as an agreement between two or more parties (group of people) which gives rise to a mutual legal obligation or enforceable by law.
There are different types of contract in business and these includes: fixed-price contract, cost-plus contract, bilateral contract, implies contract, unilateral contract, adhesion contract, unconscionable contract, option contract, express contract, executory contract, etc.
Mutual assent is a legal term which represents an agreement by both parties to a contract. When two parties to a contract both have an understanding of the parameters, terms and conditions surrounding a contract, it ultimately implies that they are in agreement; this is generally referred to as mutual assent.
In contract law, damages can be defined as an amount of money that is paid to a claimant (innocent party) as a compensation for a breach of contractual agreement and it's based on the amount of interest he or she has vested in the contract. Thus, it covers the incurred by the nonbreaching party (claimant or innocent party) due to a breach of contract by the other party.
Hence, the ultimate goal of contract damages is to give the nonbreaching party the benefit of its bargain.
You have just made your first $5,837 contribution to your retirement account. Assume you earn a return of 9.8 percent per year and make no additional contributions. What will your account be worth when you retire in 45 years
