Answer:
solving
Explanation:
ROE = Net income/total assets
5048/(11708+13109)/2
= 0.4068
= 40.68%
A.
net margin = net profit/sales
= 5048/30674
= 0.1646
asset turnover = sales/average total asset
= 30674/(32898+31389)/2
= 0.954
equity multiplier
average total asset/average equity
= [(32898+31389)/2] / [11708+13109)]/2
= 32143.5/12408.5
= 2.59
DuPont model
ROE = 0.1646 x 0.9542 x 2.59
= 0.4068
= 40.68%
this shows that roe equals roe computed from the first roe I solved
ROA
net income/total assets
= 5048/32898+31389)/2
= 5048/32143.5
= 0.1570
= 15.47%
What will happen when the country's
currency is undervalued?
Answer:
Ur answer is that When the U.S. dollar is undervalued, the cost of a basket of goods in the United States is lower than the cost in Mexico when evaluated at the current exchange rate. To a U.S. tourist, Mexican goods and services would seem more expensive on average. Thus an undervalued currency will buy less in other countries.
Explanation:
Hope i helped , have a nice day , and if it is possible to give me brainlest please , thank you in advance :)
difference between authority and responsibility
Answer:
An authority is a power to give orders and ask your subordinates to perform certain duties. Authority can be given to a person by government’s executives, owner of an organization, or by the representatives of GOD.
An authority is a legitimate power to influence people to compel them to perform the task given to them. For example, a mob has the power to punish a criminal, but they don’t have legitimate authority to punish the criminal.
The authority lies in the hands of the law. Similarly, in an organization, the authority lies in the hands of a manager to get organizational tasks accomplished by his subordinates.
However, the authority of the manager is limited to a particular department of the organization. He has no authority on his employees outside the organization.
Authority is the consequence of the position of an individual in an organization. A person can only be at the superior position of the organization if he has authority; a person with no authority can never be on the top position of an organization.
Therefore, the degree of authority is highest at the top level, and its degree keeps on decreasing the levels of the organization. That means only a person at the top level can give orders to the people at a low level and can compel them to perform tasks given to them, and a person at lower level can’t give orders to the people at the top or his peers.
Authority can be of two types such as official authority (where authority is given to a person by the organization he works for), and other is a personal authority (where authority is given to a person because of his ability to influence people in the organization.
What is the Responsibility?
Being responsible
Responsibility is a moral duty or an obligation of an employee, whether he is a manager or subordinate to fulfill the task given to them. The responsibility starts as soon as the job is assigned to the employee and finish with the completion of the task.
The person is responsible for the consequence of his performance in the task. The responsibility comes with authority.
A manager is responsible for the accomplishment of the task. The responsibility moves upwards in the organization from a lower level of employees to the upper level of management.
The responsibility is originated from the superior-subordinate relationship in an organization. Because of this relationship, the manager can do a task from his subordinates with responsibility.
Difference between authority and responsibility
Difference between authority and responsibility
AUTHORITY RESPONSIBILITY
An authority is a power or right that a person gets because of his designation, role, or job. A responsibility is an obligation that an employee has to fulfill the work bestowed on him
An authority is the outcome of a formal position in an organization. A responsibility is the outcome of a superior-subordinate relationship.
An authority is a legal right given to a person. A responsibility is consequence of authority.
It is a delegation of authority. It is an assumption of responsibility.
The flow of authority is from the upper level to lower level. The flow of authority is from lower level to upper level.
Authority requires the ability to give orders. Responsibility requires the ability to follow orders.
The authority lasts for a long period of time. The responsibility ends as soon as the work bestowed on the employee is complete.
The objective of the authority is to make decisions and implement them effectively. The objective of responsibility is to perform duties effectively assigned by the superiors.
Ace Industries manufactures high quality auto parts. Recently Ace found that auto repair shop owners were talking customers into buying lower quality goods. Ace invited the shop owners to a meeting in Florida and showed them how to make more money selling high quality auto parts. This is a good example of expert channel power.
Answer:
True
Explanation:
The capacity of a channel member to influence or affect the judgement and behavior of yet another distribution channel, or one network member's capacity for affect with another distribution channel, is referred to as channel power.
The idea that a business in a political relationship possesses important expertise, knowledge, or abilities in a relevant field to its distribution network partner is referred to as expert authority in marketing channel writing.
Thus, from the above we can conclude that the given statement is true.
In reviewing activity for july the controller of mathis inc., collected the following data concerning direct materials:
Actual production $103,000 units
Direct materials purchased (actual) $1,642,800
Standard cost of materials purchased $1,554,000
Standard direct materials costs per unit produced 14
Standard price times actual amount of materials used $1,405,950
Required:
Compute the direct materials cost variances.
Answer:
$36,400 U
Explanation:
Actual costs = $ 1,643,800
Actual inputs at standard price = $ 1,556,500
Price variance = ($ 1,556,500 – $1,643,800)
= $87,300 Unfavorable
Actual inputs at standard price = $ 1,408,450
Flexible budget (Standard Allowed for Good Output):
= $14.1 × 103,500
= $1,459,350
Efficiency variance = ($1,459,350 - $1,408,450)
= $50,900 Favorable
Direct materials cost variances:
= Price variance - Efficiency variance
=$87,300 U – $50,900 F
= $36,400 U
Explanation:brainlist pls
Harding Enterprises has developed a new product called the Gillooly Shillelagh. The market demand for this product is given as follows:
Q= 240 - 4P
a. At what price is the price elasticity of demand equal to zero?
b. At what price is demand infinitely elastic?
c. At what price is the price elasticity of demand equal to one?
d. If the shillelagh is priced at $40, what is the point price elasticity of demand?
Answer:
0
$60
$30
-2
Explanation:
Price elasticity of demand measures the responsiveness of quantity demanded to changes in price of the good.
If the absolute value of price elasticity is greater than one, it means demand is elastic. Elastic demand means that quantity demanded is sensitive to price changes.
Demand is inelastic if a small change in price has little or no effect on quantity demanded. The absolute value of elasticity would be less than one
Demand is unit elastic if a small change in price has an equal and proportionate effect on quantity demanded
Infinitely elastic demand is perfectly elastic demand. Demand falls to zero when price increases
Perfectly inelastic demand is demand where there is no change in the quantity demanded regardless of changes in price.
the intercept of price on the inverse demand curve = 240 / 4 = $60
The intercept of quantity on the inverse demand curve = 240
Demand is infinitely elastic at the intercept on the price axis = 0
Demand is completely inelastic at the intercept on the quantity axis = 60 Demand is unit elastic at the half-way point between these two extremes (60 + 0) / 2 = 30
Point elastic demanded = (40/80) (-4) = -2
Identify whether or not each of the following scenarios describes a competitive market, along with the correct explanation of why or why not.
a. In a small town, there are two providers of broadband Internet access: a cable company and the phone company. The Internet access offered by both providers is of the same speed.
b. The government has granted a patent to a pharmaceutical company for an experimental AIDS drug. That company is the only firm permitted to sell the drug.
c. Dozens of companies produce plain white socks. Consumers regard plain white socks as identical and don't care who manufactures their socks.
d. In a major metropolitan area, one chain of coffee shops has gained a large market share because customers feel its coffee tastes better than that of its competitors.
Answer:
1. not a competitive market
2. not a competitive market
3. competitive market
4. not a perfectly competitive market
Explanation:
To answer this question, i will first start by explaining what a competitive market is and the assumption of a perfectly competitive market as well
A competitive market is a market that has many producers and buyers of a particular product. The producers are usually in a competition to meet up with the needs of the buyers.
some assumptions of the market:
large sellers/producersidentical or homogenous goodsfree entryno discriminationperfect knowledgea. in this question this is not a competitive market. the reason is simple. It says that there are only two providers of internet. So there are no enough producers or sellers
b. The government has limited entry into this market by giving patent to only one pharmaceutical company.
c. yes this market is competitive since there are many producers of the product and the consumers regard the products as identical or homogenous. this meets with all of the assumptions of a perfectly competitive market.
d. the product here is not homogenous or identical as this is not a perfectly competitive market since buyers would prefer to buy the coffee that tastes better and leave that of the competitors
thank!
who has given general principle of management?
Answer:
I think it's " Henri Fayol's "
Answer:
14 management principle of Henri Fayol
Explanation:
1. Division of work or division labor.
2. Balancing Authority and responsibility.
3. Discipline.
4. Unity of command.
5. Unity of Direction.
6. Subordination of individual interest to the general interest.
7. Remuneration.
8. Centralization.
9. Scalar chain.
10. Order.
11. Equity.
12. Stability of tenure of personal.
13. Initiative.
14. Esprit de corps.
Using information that was accurate in the year 2012, categorize each member state according to whether it was a member state using the euro, a member state not using the euro, or not a member state.
You are currently in a sorting module. Turn off browse mode or quick nav, Tab to items, Space or Enter to pick up, Tab to move, Space or Enter to drop.
European Union member state using the euro
European Union member state not using the euro
Not a member of the European Union
Answer:
European Union member state using the euro.
SlovakiaFrance ItalyAll three of the above nations are members of the EU using the Euro which enables easier transactions with the rest of the Union. France still prints and manages their old currency, the Franc for its previous colonies in West Africa.
European Union member state not using the Euro.
SwedenUnited KingdomHungaryThese three countries still use their own currency with Sweden using the Krona, the British still using the Pound and the Hungarians still using the Forint. The British were still members of the EU in 2012 but have since left the Union.
Not a member of the European Union
UkraineNorwayThese two nations are not part of the EU but have very significant ties to the European Union's markets.
For each of the following sentences, select the phrase or group of words that best completes the statement. Earnings per share Dividend yield ratio Dividend payout ratio Return on assets ratio Return on common stockholders' equity ratio
Answer:
Note See complete and organized question as attached as picture below
1. Dividend yield ratio
Correct phrase: Relationship between dividends and the market price of a company's stock.
2. Dividend payout ratio
Correct phrase: Percentage of earnings paid out as dividends.
3. Return on assets ratio
Correct phrase: Measure of a company's success in earning a return for all the providers of the capital.
4. Return on common stockholders' equity ratio
Correct phrase: Measure of a company's success in earning a return for the common stockholders.
Calvert Corporation expects an EBIT of $23,300 every year forever. The company currently has no debt, and its cost of equity is 14.3 percent. The company can borrow at 9.1 percent and the corporate tax rate is 25 percent. a. What is the current value of the company
Answer:
Missing "b-1. What will the value of the firm be if the company takes on debt equal to 50 percent of its unlevered value? b-2. What will the value of the firm be if the company takes on debt equal to 100 percent of its unlevered value?"
a. Current value of the company = EBIT*(1-t) / Ke
Current value of the company = $23,300*(1-0.25) / 0.143
Current value of the company = $23,300*0.75 / 0.143
Current value of the company = $17,475 / 0.143
Current value of the company = $122202.7972027972
Current value of the company = $122,202.80
So, the current value of the company is $122,202.80.
bi. Value of the company = $122,202.80 + (0.25*$122,202.80*0.5)
Value of the company = $122,202.80 + $15,275.35
Value of the company = $137,478.15
bii Value of the company = $122,202.80 + (0.25*$122,202.80*1)
Value of the company = $122,202.80 + $30,550.7
Value of the company = $152,753.5
Explain in your own words what is known as a business?
Explanation:
a business is a company owned by someone. it could be a retail, trade, or occupation. they sell goods and needs
Why do cell phone service providing firms often charge higher price to pre-paid clients than those on contract?
Answer:
Contract customer ensures a regular income as compared to the pre paid users and hence cell phone service provider prefer to hold these customers by lowering their services rates
Explanation:
Prepaid phone call rates are higher than the call rates of contract phone services because the contract services ensures a minimum of certain amount per month. Along with that the service provider charges an activation charge prior to providing contract services hence they make the call rates and rates of other services like internet low for contract customers.
5) name 5 reasonable possibilities to earn money online.
Suppose banks increase excess reserves by $ 471845 . If the reserve ratio is 12 percent, what is the maximum increase in the money supply
Answer:
$3,932,025.94
Explanation:
Multiplier = 1 / rr
Multiplier = 1 / Reserve ratio
Multiplier = 1 / 0.12
Multiplier = 8.3333
Increase in money supply = Multiplier * Increase in excess reserves
Increase in money supply = 8.3333 * $471,845
Increase in money supply = $3,932,025.94
So, the maximum increase in the money supply is $3,932,025.94.
Bunkhouse Electronics is a recently incorporated firm that makes electronic entertainment systems. Its earnings and dividends have been growing at a rate of 36.0%, and the current dividend yield is 8.00%. Its beta is 1.32, the market risk premium is 14.00%, and the risk-free rate is 2.80%.
Required:
a. Use the CAPM to estimate the firm’s cost of equity. (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
b. Now use the constant growth model to estimate the cost of equity. (Do not round intermediate calculations. Enter your answer as a whole percent.)
c. Which of the two estimates is more reasonable?
Answer:
a. Calculation of the firm's cost of equity using CAPM
Required rate of return (Cost of equity) = Risk free rate + Beta*Market risk premium
Cost of equity = 2.80% + 1.32*14%
Cost of equity = 2.80% + 18.38%
Cost of equity = 21.28%
b) Calculation of the cost of equity using constant growth model:
Cost of equity = Dividend yield + Growth rate(Capital gain yield)
Cost of equity = 8.00% + 36.00%
Cost of equity = 44.00%
The following information pertains to Trenton Glass Works for the year just ended.
Budgeted direct-labor cost: 70,000 hours (practical capacity) at $16 per hour
Actual direct-labor cost: 80,000 hours at $17.50 per hour
Budgeted manufacturing overhead: $997,500
Actual selling and administrative expenses: 439,000
Actual manufacturing overhead:
Depreciation $ 233,000
Property taxes 23,000
Indirect labor 80,000
Supervisory salaries 202,000
Utilities 58,000
Insurance 32,000
Rental of space 301,000
Indirect material (see data below) 79,000
Indirect material:
Beginning inventory, January 1 48,000
Purchases during the year 95,000
Ending inventory, December 31 64,000
Calculate the overapplied or underapplied overhead for the year. (Round your intermediate calculations to 2 decimal places.)
Answer:
Over-applied Overhead $134,000
Explanation:
The computation of the overhead applied or under applied overhead is given below:
Depreciation $233,000
Property tax $21,000
indirect labor $80,000
Supervisory salaries $202,000
utilities $58,000
Insurance $32,000
Rental of space $301,000
Indirect material $79,000
Total OH incurred $1,006,000
OH applied $1,140,000
(80000 hours at 14.25 per hour) ($997,500 ÷ 70,000)
Over-applied Overhead $134,000
Clark's Chemical Company received refundable deposits on returnable
containers in the amount of $100,000 during 2018. Twelve percent of the
containers were not returned. The deposits are based on the container cost
marked up 20%. What is cost of goods sold relative to this forfeiture?
a. $0.
b. $2,000.
c. $10,000.
d. $14,400.
Answer: $10000
Explanation:
The cost of goods sold relative to this forfeiture will be calculated thus:
= (Refundable deposit × percent of not returned) / (1 + Markup percentage on cost)
= ($100000 × 12%) / ( 1 + 20%)
= ($100000 × 0.12) / ( 1 + 0.2)
= $12000 / 1.20
= $10000
The cost of goods sold is $10000
Five welding jobs are waiting to be processed. Their processing times and due dates are given below. Using the critical ratio dispatching rule, in which order should the jobs be processed
Job Processing Time (days) Job due date (days)
A 4 7
B 2 4
C 8 11
D 3 5
E 5 11
Answer:
Order of processing the jobs:
Job Critical Ratio
C 1.375
D 1.667
A 1.75
B 2.0
E 2.2
Explanation:
a) Data and Calculations:
Job Processing Job due Critical
Time (days) date (days) Ratio
A 4 7 1.75 (7/4)
B 2 4 2.0 (4/2)
C 8 11 1.375 (11/8)
D 3 5 1.667 (5/3)
E 5 11 2.2 (11/5)
b) The critical ratio (CR) dispatching indicates the priority sequencing that should be adopted to process work at a work center. The first process is to create the CR priority index number, which is obtained from the formula of due days divided by the processing days. Therefore, the job with the lowest CR is scheduled first.
Suppose independent truckers operate in a perfectly competitive constant cost industry. If these firms are earning positive economic profits, what happens in the long run to the following: The price of trucking services
Answer:
The price of trucking services would fall until equilibrium prices are reached. Only normal profit would be earned in the long run
Explanation:
A perfect competition is characterized by many buyers and sellers of homogenous goods and services. Market prices are set by the forces of demand and supply. There are no barriers to entry or exit of firms into the industry.
In the long run, firms earn zero economic profit. If in the short run firms are earning economic profit, in the long run firms would enter into the industry. This would drive economic profit to zero.
Also, if in the short run, firms are earning economic loss, in the long run, firms would exit the industry until economic profit falls to zero.
The following transactions occur for the Hamilton Manufacturers. (a) Provide services to customers on account for $4,600. (b) Purchase equipment by signing a note with the bank for $10,200. (c) Pay advertising of $1,000 for the current month.
Answer:
Question wants to know how the Accounting equation is affected by these transactions.
a. Provide services to customers on account for $4,600.
Assets will increase by $4,600.
Equity will increased by $4,600
This is because, Accounts receivable will increase on account of these services being offered on account and it is an Asset account.
This transaction also brings in revenue which is an equity account so Equity will increase as well.
b. Purchase equipment by signing a note with the bank for $10,200.
Assets will increase by $10,200
Liabilities will increase by $10,200
Equipment is an asset which is why assets are increasing. This purchase was funded by a Note which is a liability so liabilities increase as well.
c. Pay advertising of $1,000 for the current month.
Assets decrease by $1,000.
Equity decrease by $1,000.
The advertising was paid for by cash so cash (asset) will reduce as a result. Advertising is an expense and expenses reduce revenue which is in equity so Equity reduces as well.
The amount of the estimated average income for a proposed investment of $60,000 in a fixed asset, giving effect to depreciation (straight-line method), with a useful life of four years, no residual value, and an expected total income yield of $21,600, is: Group of answer choices $10,800 $21,600 $ 5,400 $30,000
Answer:
$5,400
Explanation:
Calculation to determine the estimated average income
Using this formula
Estimated average income=Expected total income yield/Useful life
Let plug in the formula
Estimated average income= $21,600 ÷ 4
Estimated average income= $5,400
Therefore the estimated average income is $5,400
Tech Solutions is a consulting firm that uses a job-order costing system. Its direct materials consist of hardware and software that it purchases and installs on behalf of its clients. The firm’s direct labor includes salaries of consultants that work at the client’s job site, and its overhead consists of costs such as depreciation, utilities, and insurance related to the office headquarters as well as the office supplies that are consumed serving clients. Tech Solutions computes its predetermined overhead rate annually on the basis of direct labor-hours. At the beginning of the year, it estimated that 55,000 direct labor-hours would be required for the period’s estimated level of client service. The company also estimated $302,500 of fixed overhead cost for the coming period and variable overhead of $0.50 per direct labor-hour. The firm’s actual overhead cost for the year was $321,300 and its actual total direct labor was 58,850 hours. Required: 1. Compute the predetermined overhead rate. 2. During the year, Tech Solutions started and completed the Xavier Company engagement. The following information was available with respect to this job: Direct materials $ 50,850 Direct labor cost $ 27,300 Direct labor hours worked 220 Compute the total job cost for the Xavier Company engagement.
Answer:
Tech Solutions
1. The predetermined overhead rate is:
= $6
2. The total job cost for the Xavier Company engagement is:
= $79,470
Explanation:
a) Data and Calculations:
Estimated direct labor-hours for the year = 55,000
Estimated fixed overhead cost = $302,500
Estimated variable overhead cost ($0.50 per DLH) = $27,500
Total overhead costs = $330,000 ($27,500 + $302,500)
Actual overhead cost for the year = $321,300
Actual total direct labor-hours = 58,850
Predetermined overhead rate = $6 ($330,000/55,000)
Xavier Company's Job:
Direct materials $ 50,850
Direct labor cost $ 27,300
Direct labor hours worked 220
Applied overhead = $1,320 ($6 * 220)
Total job cost = $79,470
= Variable overhead rate + fixed overhead rate
= $0.50 + ($302,500 ÷ 55,000 direct labor hours)
= $0.50 + $5.50
= $6.00
2. The total cost should be
= Direct material cost + direct labor cost + overhead cost
= $50,850 + $27,300 + ($6 × 220)
= $50,850 + $27,300 + $1,320
= $79,470
Therefore we can conclude that
The predetermined overhead rate is $6.00.The total job cost is $79,470.Learn more about the total cost here: brainly.com/question/13910351
s). Marty has been offered an injury settlement of $15 comma 000 payable in 5 years. He wants to know what the present value of the injury settlement is if his opportunity cost is 3.5 %. (The opportunity cost is the interest rate in this problem.) What if the opportunity cost is 7.5 %? What if it is 11.5 %?
Answer and Explanation:
The computation of the present value in each situation is as follows:
As we know that
Present value = Future value ÷ (1 + rate of interest)^time period
When the rate is 3.5%, the present value is
= $15,000 ÷ (1 + 3.5%)^5
= $12,630
When the rate is 7.5%, the present value is
= $15,000 ÷ (1 + 7.5%)^5
= $10,448.38
And, When the rate is 11.5%, the present value is
= $15,000 ÷ (1 + 11.5%)^5
= $8,703.96
Hyundai's Assurance program empathized with American consumers during uncertain financial times, helping to create a psychological and emotional:_______
a. brand association.
b. differentiation strategy.
c. consumer response.
d. marketing campaign.
Gilmore, Inc., had equity of $135,000 at the beginning of the year. At the end of the year, the company had total assets of $290,000. During the year, the company sold no new equity. Net income for the year was $29,000 and dividends were $3,400. a. What is the sustainable growth rate for the company
Answer:
A. 18.96%
B. 18.96%
C. 15.94%
Explanation:
A. Calculation to determine the sustainable growth rate for the company
First step is to calculate the Ending equity
Ending equity = 135,000 + 29,000 -3,400
Ending equity=$160,600.
Second step is to calculate the return on equity
Return on equity =29,000/160,600
Return on equity=0.18057285
Third step is to calculate the retention ratio
Retention ratio =(Net income- dividends) / Net income
Retention ratio= (29,000-3400) / 29,000
Retention ratio=25,600 /29,000
Retention ratio=0.88275862.
Now let calculate the Sustainable growth rate using this formula
Sustainable growth rate = (Return on equity *Retention ratio) / [1-(Return on equity*retention ratio)]
Let plug in the formula
Sustainable growth rate=(0.18057285*0.88275862)/ [1-(0.18057285*0.88275862)]
Sustainable growth rate=0.15940224/ [1-0.15940224]
Sustainable growth rate=0.1896*100
Sustainable growth rate=18.96%.
b. Calculation to determine the sustainable growth rate if you use the formula ROE band beginning of period equity
First step is to calculate the return on equity using beginning of the period equity
Return on equity using beginning of the period equity=$29,000 /135,000
Return on equity using beginning of the period equity=0.21481481.
Now let calculate the sustainable growth rate if you use the formula ROE band beginning of period equity
roe * b = 0.21481481*0.88275862
ROE band=0.1896*100
ROE band=18.96%.
c.return on equity using ending of period equity = 29,000/160,600
=>0.18057285
roe*b=>0.18057285*0.88275862
=>0.1594
=>15.94%.
Everything else equal, if the United States runs a large foreign trade deficit, the financing of the deficit will: a. increase government subsidies. b. increase interest rates. c. decrease sales of Treasury securities. d. increase the money supply. e. decrease tax revenue.
Answer: decrease tax revenue
Explanation:
A trade deficit occurs when the import of a country's is more than the export of the country for a given period of time period. The main cause is when there's an imbalance between the savings of a country and the investment rates.
In this case, financing the deficit will lead to the reduction in the tax revenue. When part of the tax revenue gotten from economic agents are used in the finance of the deficit, there'll be a reduction in the tax revenue.
Could anyone help with this question?
1) You are considering purchasing a 20 year bond from Saudi Arabia. You have a required return
of 15%. The bond has the following characteristics:
Par Value: $1,000
Maturity: 20 years
Coupon Rate: 12%
What would you offer for this bond today?
Answer:
$812.20
Explanation:
Given the following bond characteristic:
Coupon rate = 12%
Market or yield rate = 15%
Years to maturity = 20 years
Face or par value = $1000
Inputting the values into a bond value calculator, the bond value output is : $812.20
This means that the sum of the present value of all likely coupon payment and par at maturity. It is simply the present value of all cash streams it is projected to generate.
Consider the following independent situations:
1. Mike Finley wishes to become a millionaire. His money market fund has a balance of $289,664 and has a guaranteed interest rate of 10% per year.
How many years must Mike leave that balance in the fund in order to get his desired $1,000,000?
2. Assume that Sally Williams desires to accumulate $1 million in 18 years using her money market fund balance of $250,249.
At what interest rate must Sally's investment compound annually?
Answer:
a. Number of years = 13 years
b. Interest rate = 8%
Explanation:
a. Present value = $289664
Interest rate = 10%
Future value = $1000000
Future Value = Present Value (1 + r)^n
1000000 = 289664 (1 + 10%)^n
(1 + 10%)^n = 1000000 / 289664
(1 + 10%)^n = 3.45227
(1.10)^n = 3.45227
Now solve for the n by taking ln both side.
So, n = 13
Thus, number of years = 13 years
b. Future value = 1000000
Present value = 250249
Time = 18 years
Future Value = Present Value (1 + r)^n
1000000 = 250249 (1 + r)^18
(1 + r)^18 = 1000000 / 250249
(1 + r)^18 = 3.99602
Now solve for the value of r.
Thus, r = 8%
Interest rate = 8%
Suppose that we want to evaluate the effect of several variables onannual saving and that we have a panel data set on individuals collected in January1990 and January 1992. If we include a year dummy variable for 1992 and use firstdifferencing, can we also include age in the original model? Explain.
Answer:
Following are the responses to the given question:
Explanation:
Note that others will therefore increase his age by two percent from 2009 to 1992.
[tex]\Delta age_{i}=2 \ \ \ where \ \ i =1,2,....,n[/tex]
And if the trend is running:
[tex]\Delta saving_{i}=\beta _{0}+\beta _{1}\Delta age_{i}+...+u_{i}[/tex]
We're breaking MLR.3 as [tex]\Delta agei[/tex] it's the same for all -> No different from a permanent designer cannot immediately distinguish the influence of age from the aggregate time effect because age changes per person by the same amount.
