Answer:
-3.41%
Explanation:
The computation of the annual rate of return is shown below;
We use the formula:
Future value = Present value × (1 + rate of interest)^number of years
$10,710,500 = $12,738,500 × (1 + rate of interest)^5
($10,710,500 ÷ $12,738,500)^(1 ÷ 5) = (1 + rate of interest)
(1 + rate of interest) = 0.965913622
r = (0.965913622 - 1) × 100
= -3.41%
who was a main practitioner of virtue ethics?
Explanation:
Virtue ethics began with Socrates, and was subsequently developed further by Plato, Aristotle, and the Stoics. Virtue ethics refers to a collection of normative ethical philosophies that place an emphasis on being rather than doing.
Consider two neighboring island countries called Arcadia and Felicidad. They each have 4 million labor hours available per week that they can use to produce jeans, corn, or a combination of both. The following table shows the amount of jeans or corn that can be produced using 1 hour of labor.
Jeans Corn
Country (Pairs per hour of labor) (Bushels per hour of labor)
Arcadia 8 16
Felicidad 5 20
Initially, suppose Arcadia uses 1 million hours of labor per week to produce jeans and 3 million hours per week to produce corn, while Felicidad uses 3 million hours of labor per week to produce jeans and 1 million hours per week to produce corn. Consequently, Arcadia produces 8 million pairs of jeans and 48 million bushels of corn, and Felicidad produces 15 million pairs of jeans and 20 million bushels of corn. Assume there are no other countries willing to trade goods, so, in the absence of trade between these two countries, each country consumes the amount of jeans and corn it produces.
Arcadia's opportunity cost of producing 1 pair of jeans is____of corn, and Felicidad's opportunity cost of producing 1 pair of jeans is____of corn. Therefore,____has a comparative advantage in the production of jeans, and____has a comparative advantage in the production of corn.
Suppose that each country completely specializes in the production of the good in which it has a comparative advantage, producing only that good. In this case, the country that produces jeans will produce ___ million pairs per week, and the country that produces corn will produce ____ million bushels per week.
When the two countries did not specialize, the total production of jeans was 23 million pairs per week, and the total production of corn was 68 million bushels per week. Because of specialization, the total production of jeans has increased by____million pairs per week, and the total production of corn has increased by____million bushels per week.
Because the two countries produce more jeans and more corn under specialization, each country is able to gain from trade.
Calculate the gains from trade—that is, the amount by which each country has increased its consumption of each good relative to the first row of the table. In the following table, enter this difference in the boxes across the last row (marked “Increase in Consumption”).
Arcadia Felicidad
Jeans Corn Jeans Corn
(millions of pairs) (millions of bushels) (millions of pairs) (millions of bushels)
Without Trade
Production 8 48 15 20
Consumption 8 48 15 20
With Trade
Production
Trade action
Consumption
Gains from trade
Increase in consumption
Answer:
Arcadia's opportunity cost of producing 1 pair of jeans is 2 bushels of corn, and Felicidad's opportunity cost of producing 1 pair of jeans is 4 bushels of corn. Therefore, Arcadia has a comparative advantage in the production of jeans, and Felicidad has a comparative advantage in the production of corn.
Suppose that each country completely specializes in the production of the good in which it has a comparative advantage, producing only that good. In this case, the country that produces jeans will produce 32 million pairs per week, and the country that produces corn will produce 80 million bushels per week.
When the two countries did not specialize, the total production of jeans was 23 million pairs per week, and the total production of corn was 68 million bushels per week. Because of specialization, the total production of jeans has increased by 9 million pairs per week, and the total production of corn has increased by 12 million bushels per week.
Because the two countries produce more jeans and more corn under specialization, each country is able to gain from trade.
Calculate the gains from trade—that is, the amount by which each country has increased its consumption of each good relative to the first row of the table. In the following table, enter this difference in the boxes across the last row (marked “Increase in Consumption”).
Arcadia Felicidad
Jeans Corn Jeans Corn
Without Trade
Production 8 48 15 20
Consumption 8 48 15 20
With Trade
Production 32 0 0 80
Trade action 15 48 15 48
Consumption 17 48 15 32
Gains from trade
Increase in 9 12
consumption
Suppose you know that a company's stock currently sells for $57 per share and the required return on the stock is 10.4%. You also know that the total return on the stock is evenly divided between capital gains yield and 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?
What is the dividend per share in Year 4?
Answer:
$2.82
Explanation:
Calculation for what is the current dividend per share
First step is to calculate the Dividend yield
Dividend yield= 1/2 (.104)
Dividend yield= .052
Now let calculate the current dividend per share
Current dividend per share=(.052*57 per share)/(1+0.052)
Current dividend per share= 2.964/1.052
Current dividend per share=$2.82
Therefore the Current dividend per share will be $2.82
What would you do if you got conflicting answers for the same procedure from two different people you interviewed? What would you do if one was a clerical person and the other was the department manager?
Answer:
The best solution will be to get the two individuals together to try and get a solution that is agreeable between two of them.
Explanation:
The role of a system analyst is not to make a decision about the best procedure to use, rather it is the responsibility of the users to do so.
The analyst is to facilitate a common ground that takes into consideration all views.
In the given scenario the department manager may be privy to information that the clerical person does not have. This will give a better view of processes that will be in line with business goals and objectives.
However the clerical staff pays more attention to details of business procedures. He is most likely more updated on business procedure that the department head.
The best way forward is the get the two of them together to trash out the differences of their procedures and come up with one that takes the managerial view of the department head and the detail oriented view of the clerical staff into consideration
The role of the system analyst is not to decide on the best method to use, rather it is the responsibility to come up with a common viewpoint where both their opinions can be considered.
What are the responsibilities of a System Analyst?A systems analyst is a person who uses analytical and design techniques to solve business problems using information technology.
System analysts can act as agents of change who identify organizational improvements needed, design systems to implement those changes, and train and motivate others to use the systems.
The analyst is to facilitate a consensus that takes into account all the ideas.
In this case, the department head may be aware of information that the pastor does not have. This will give you a better idea of the processes that will align with the goals and objectives of the business.
However, clerical staff pays close attention to details of business processes. The clerk may know more about the business processes head of a department.
The best way forward is to bring the two together to eliminate the differences in their procedures, it is the system analyst's responsibility to come up with a common viewpoint where both their opinions can be considered.
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A local university has a goal of raising $500,000 for an escrow account. Their fund-raising committee has committed to raising $5,000 a month until they reach their goal. These funds are deposited into an interest-bearing account that earns interest at the rate of 8 percent per year compounded monthly. The first deposit is made at the end of the current month. How many months (aka how many deposits) can the committee expect to continue their fund-raising campaign
Answer: 77 months
Explanation:
Use the NPER function on Excel to find the answer.
Rate is compounded monthly so:
= 8% / 12
= 0.66667%
Payment = 5,000 per month
Present value = $0
Future value = 500,000
Value should be = 76.87 months
= 77 months
As an investor, what is the risk involved when investing in companies on the stock
exchange?
a. Investors can lose their existing shares if the value of the stock does not
increase within 90 days of purchase
b. Once they purchase a share, investors cannot sell them at a higher price
The price of stocks can decrease; for example, when the company
receives bad press
d. Investors are only at risk if the purchase a share when the stock price has
fallen
C.
Answer:d
Explanation:
The investor are only at risk if the purchase of a share when the stoc price has fallen
During the current year, the Town of Salo Alto recorded the following transactions related to its property taxes: Levied property taxes of $3,300,000, of which 2 percent is estimated to be uncollectible. Collected current property taxes amounting to $2,987,500. Collected $26,500 in delinquent taxes and $2,400 in interest and penalties on the delinquent taxes. These amounts had been recorded as Deferred Inflows of Resources in the prior year. Imposed penalties and interest in the amount of $3,750 but only expects to collect $3,100 of that amount. None is expected to be collected this year or within 30 days of year-end. Reclassified uncollected taxes as delinquent. These amounts are not expected to be collected within the first 60 days of the following fiscal year.
Question Completion:
Prepare the journal entries.
Answer:
Town of Salo Alto
Journal Entries:
Debit Property Taxes Receivable $3,300,000
Credit Unearned Property Taxes $3,300,000
To record the levying of property taxes.
Debit Uncollectible Expense $66,000
Credit Allowance for Uncollectible Property Taxes $66,000
To record the 2% allowance for uncollectible taxes.
Debit Cash $2,987,500
Credit Property Taxes Receivable $2,987,500
To record the collection of current property taxes.
Debit Cash $28,900
Credit Deferred Inflows of Resources $26,500
Credit Interest and Penalties $2,400
To record the collection of delinquent taxes with interest and penalties.
Debit Penalties and Interest Receivable $3,750
Credit Interest and Penalties $3,100
Credit Allowance for uncollectible $650
To record penalties and interest imposed.
Debit Deferred Inflows of Resources $312,500
Credit Property Taxes Receivable $312,500
To re-classify uncollected taxes as delinquent.
Explanation:
The ASC 606, as applicable to GASB, specifies when property tax revenues should be recognized in government-wide financial statements. Governmental revenue, e.g. property tax revenue, should be considered as revenue in the current period if it can be collected within that period or sixty days after the current period. If it cannot be so collected, it needs to be re-classified as delinquent.
acquired: Firm A has a margin of 11%, sales of $610,000, and ROI of 17%. Calculate the firm's average total assets. Firm B has net income of $72,000, turnover of 1.40, and average total assets of $920,000. Calculate the firm's sales, margin, and ROI. Firm C has net income of $136,000, turnover of 2.01, and ROI of 23.40%. Calculate the firm's margin, sales, and average total assets.
Answer:
1. Firm's average total assets = Net Income/ROI = $610,000*0.11 / 0.17 = $394,705.88
2. Sales = Assets turnover ratio * Average total assets = 1.40*920,000 = $1,288,000
Margin = Net Income / Sales = $72,000/$1,288,000 = 0.06
ROI = Net Income / Average Total Assets = $72,000/920,000 = 0.078
3. Average Total Assets = Net Income / ROI = $136,000/23.40% = 136,000/0.2340 = $581,196.58
Sales = Assets turnover ratio * Average total assets= 2.01*$581,196.58 = $1,168,205.12
Margin = Net Income / Sales = $136,000/$1,168,205.12 = 0.1164
The management accountant at Lang Manufacturing Co. collected the following data in preparation for a life-cycle analysis on one of its products, a leaf blower: Item This Year Change Over Last Year Average Annual Change Over the Last Four Years Annual sales $2,700,000 1.8% 23.5% Unit sales price 450 2.4% 8.3% Unit profit 100 -1.0% 3.0% Total profit 600,000 -1.2% 30.0% The stage of the sales life cycle the product is in is: Withdrawal. Introduction. Decline. Maturity. Growth.
Answer: Decline stage
Explanation:
The stage of the sales life cycle the product is in the Decline stage of the product cycle. We can see that the average performance of the product over its past life is higher than that of its last year's performance.
Under the decline stage, there will be a reduction in the quantity of goods that's sold thereby leading to a reduction in profits until it gets to a point that producing the goods will not be profitable anymore.
The ACE Equity Fund has an expected return E[r] of 11.830% and the ZQR Bond Fund has an expected return E[r] of 6.690%. A portfolio comprised of 3% ACE and 97% ZQR would have an expected return of __________%. (percent, rounded three places after decimal)
Answer:
The answer is "6.8442%".
Explanation:
The expected portfolio return is the total average portfolio return for all stocks
ACE fund weight (wA) =3%
ACE fund (ErA) expected return= 11.830%
Bond fund ZQR weight (wB) = 97%.
The ACE fund (ErB) expected return = 6.690%
Expected portfolio return = [tex](wA \times ErA)+(wB \times ErB)[/tex]
[tex]=(3\% \times 11.830 \% )+(97 \% \times 6.690\%)\\\\= 0.03 \times 0.1183 +0.97 \times 0.0669 \\\\=0.003549+ 0.064893\\\\=0.068442\\\\=6.8442 \%[/tex]
Which activity is an example of differentiated marketing? A. An automobile company promotes small family cars and sports utility vehicles to a specific demographic. B. A retailer promotes commodities such as coffee, sugar, and bread to everyone who shops at the store. C. A local business distributes promotional cards to the community. D. A travel business sends advertisements to its current and past customers. E. An insurance company offers its products to everyone in Kansas.
Answer: A. An automobile company promotes small family cars and sports utility vehicles to a specific demographic.
Explanation:
Differentiated marketing is a form of marketing that occurs when the advertisement that is done by a particular company appeals to some particular target audiences or segments. Thus is usually done by the company to get ire customers and also enhance the brand awareness.
In this case, the activity that is an example of differentiated marketing will be option A. "An automobile company promotes small family cars and sports utility vehicles to a specific demographic".
Act Now!, an organization devoted to voting rights, applied for a permit to protest the closing of polling places in poor neighborhoods. Genevieve, the head of the organization, wanted the protest to be on the lawn of the county courthouse. The county denied the permit on grounds that it would prevent people from accessing the courthouse. If Act Now! challenges this action in court, it will be reviewed by the judge using:___________
a) strict scrutiny.
b) rational basis scrutiny.
c) intermediate scrutiny.
d) no particular form of scrutiny (none is required in this situation)
Answer:
c) intermediate scrutiny.
Explanation:
In this particular scenario this will be reviewed by the judge using intermediate scrutiny. In this review the court will decide whether or not the case helps the government and/or the people in any way. The court case interests must further the interests of the government or people in the same way for it to pass the review. If the court case passes the review it will be reassessed and may be voted upon differently depending on the other details at hand.
The NPV and IRR method occasionally do not agree on accept/reject decisions when evaluating an investment proposal.
True or False?
The NPV and IRR method occasionally do not agree on accept/reject decisions when evaluating an investment proposal. The given statement is False.
Why positive NPV should be accepted?A project or venture has a positive NPV if the estimated earnings, discounted for their present value, are more than the anticipated costs, also expressed in today's currency. A positive NPV indicates an investment that is likely to be successful. Net loss will arise from an investment with a negative NPV.
The total of the investment's anticipated cash inflows and outflows, discounted back to their present value at a risk-adjusted rate, is known as the net present value. Project acceptance is granted if the NPV exceeds $0. The project is turned down in any other case.
Thus, the given statement is False.
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Your daughter is currently 10 years old. You anticipate that she will be going to college in 8 years. You would to have $136,000 in a savings account to fund her education at that time. If the account promises to pay a fixed interest rate of 3% per year, how much money do you need to put into the account today to ensure that you will have $136,000 in 8 years
Answer:
$107,359.66
Explanation:
We are to calculate the present value of $136,000
The formula for calculating present value is :
The formula for calculating future value:
P = FV / (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
$136,000 / (1.03)^8 = $107,359.66
A company that manufactures air-operated drain valve assemblies currently has $100,000 available to pay for plastic components over a 5-year period. If the company spent only $52,000 in year 1, what uniform annual amount can the company spend in each of the next 4 years to deplete the entire budget
Answer:
$18,297.31
Explanation:
The computation of the uniform amount that could be spend is shown below"
Here we determine the PMT
Given that
We assume the RATE = 10%
NPER = 5 - 1 = 4
PV = $100,000 × 1.1 - $52,000
= $110,000 - $52,000
= $58,000
FV = $0
The formula is given below:
= PMT(RATE,NPER,PV,FV,0)
The present value comes in negative
After applying the above formula, the uniform annual amount is $18,297.31
On January 1, 2021, Jasperse Corporation leased equipment under a finance lease designed to earn the lessor a 12% rate of return for providing long-term financing. The lease agreement specified ten annual payments of $75,000 beginning January 1, and each December 31 thereafter through 2029. A 10-year service agreement was scheduled to provide maintenance of the equipment as required for a fee of $5,000 per year. Insurance premiums of $4,000 annually are related to the equipment. Both amounts were to be paid by the lessor and lease payments reflect both expenditures. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) At what amount will Jasperse record a right-of-use asset
Answer:
$442,977.5
Explanation:
Calculation for what amount will Jasperse record a right-of-use asset
Right of use asset = ($75,000 -$5,000) x PVAD, 12%, 10
Right of use asset =$70,000*6.32825
Right of use asset =$442,977.5
Therefore what Jasperse will record a right-of-use asset will be $442,977.5
Andriana Rodriguez is applying for a loan. As she is filling out the paperwork, she comes across a question about her age, which Andriana does not fill in.
Which consumer protection law best supports Andriana's decision to leave this field blank?
- the Equal Credit Opportunity Act (ECOA)
- the Home Mortgage Disclosure Act (HMDA)
- the Truth in Lending Act (TILA)
- the Truth in Savings Act (TISA)
Answer:
ECOA
Explanation:
ECOA Prohibits discrimination based on age (provided they have the capacity to contract)
Sonor Systems undertakes its own machine maintenance. The depreciation on the equipment is $20,000 per year and operating cost is $2 per machine hour. Last year 275,000 machine hours were used to produce 100,000 units. If 300,000 machine hours had been worked last year, what would be the total machine maintenance cost
Answer:
$570,000
Explanation:
Total machine maintenance cost calculation.
Depreciation expenses $20,000
Operating cost
($275,000 MH × $2). $550,000
Total machine machine maintenance cost $570,000
Therefore, the total machine maintenance cost of the machine is $570,000
On January 1, 2020, Sheffield Company makes the two following acquisitions. 1. Purchases land having a fair value of $220,000 by issuing a 4-year, zero-interest-bearing promissory note in the face amount of $346,174. 2. Purchases equipment by issuing a 6%, 8-year promissory note having a maturity value of $410,000 (interest payable annually). The company has to pay 12% interest for funds from its bank. (a) Record the two journal entries that should be recorded by Sheffield Company for the two purchases on January 1, 2020. (b) Record the interest at the end of the first year on both notes using the effective-interest method.
Answer:
A. Dr Land $220,000.00
Dr Discount on Notes Payable $126,174.00
Cr Notes Payable $346,174.00
Dr Cash $287,796.06
Dr Discount on Note Payable $122,203.94
Cr Note Payable $410,000
B. December 31, 2017
Dr Interest expense $26,400
Cr Discount on Notes Payable $26,400
December 31, 2017
Dr Interest expense $34,535.5
Cr Cash $24,600
Cr Discount on Notes Payable $9,935.5
Explanation:
(a) Preparation to Record the two journal entries that should be recorded by Sheffield Company for the two purchases on January 1, 2020.
Dr Land $220,000.00
Dr Discount on Notes Payable $126,174.00
($346,174.00-$220,000.00)
Cr Notes Payable $346,174.00
Dr Cash $287,796.06
Dr Discount on Note Payable $122,203.94
Cr Note Payable $410,000
Calculation for the PV of note using Financial calculator
N=8
I/Y% = 12%
Interest payment – $410,000 x .06 = $24,600
FV = $410,000
PV of note = $287,796.06
Calculation for Discount on note
Discount on note = $410,000 –$287,796.06
Discount on note= $122,203.94
(b) Preparation of the journal entry to Record the interest at the end of the first year on both notes using the effective-interest method.
December 31, 2017
Dr Interest expense $26,400
($220,000 x .12)
Cr Discount on Notes Payable $26,400
December 31, 2017
Dr Interest expense $34,535.5
($287,796.06*.12)
Cr Cash $24,600
($410,000 x .06)
Cr Discount on Notes Payable $9,935.5
($34,535.5-$24,600)
One problem with using market values to measure GDP is that A. some useful goods and services are not sold in markets. B. you cannot compare completely heterogeneous goods by using their dollar values. C. prices for some goods change every year. D. market values of exported goods are usually priced in foreign currencies.
Answer:
C. prices for some goods change every year.
Explanation:
The reason why the real GDP (GDP adjusted to inflation) is a much better economic index than nominal GDP is that prices change over time, even if the quantities produced do not. It is actually possible for nominal GDP to increase even if total production output decreases due solely to high inflation rates.
You would like to purchase a home and are interested to find out how much you can borrow. When your lender calculates your debt to income ratio, he determines that your maximum monthly payment can be no more than $3,200. You would like to have a 30 year fully- amortizing loan and the interest rate offered on such a loan is currently 5%. Given these constraints, what is the largest loan you can obtain?
Answer:
When Your Lender Calculates Your Debt To Income Ratio, He Determines That Your Maximum Monthly Payment Can Be No More Than $3,200.
Two manufacturing firms, located in cities 90 miles apart, both send their trucks four times a week to the other city full of cargo and return empty. Each driver costs $275 per day with benefits (the round trip takes all day) and each firm has truck operating costs of $1.30 a mile. How much could each firm save weekly if each sent its truck twice a week and hauled the other firm's cargo on the return trip
Answer: $1,018
Explanation:
Cities are 90 miles apart so a roundtrip is 180 miles which means that the operating cost per trip is:
= 1.30 * 180
= $234
Total cost per trip = Divers cost + operating cost
= 275 + 234
= $509
Four trips are made per week so total cost is:
= 509 * 4
= $2,036
If each sent its truck twice a week and hauled the other firm's cargo on the return trip then savings would be:
= Cost of 4 trips - cost of 2 trips
= 2,036 - (509 * 2)
= $1,018
To be considered part of a market, an individual must
Answer:
Have both willingness to buy and the financial resources needed to buy.
Why is the United States concerned about China’s devaluation of the yuan?
Answer:
a stronger dollar cuts into inflation in the United States, and it might force the fed to cut interest rates by more than it would otherwise to sustain its desired pace of growth and price gains.
Explanation:
which of the following is an example of business related financial information:
pay stub
school-loan document
accounts recievable record
sales reciept from purchasing a new mattress
Answer:
accounts recievable record
Explanation:
Accounts receivable record shows the amount of money customers owe a business. It arises when a company sells goods or services to customers on credit. Accounts receivable is a financial record, as it records commercial transactions between a firm and its customers.
Accounts receivables are treated as assets in the financial records of a business.
The following costs result from the production and sale of 4,450 drum sets manufactured by Tight Drums Company for the year ended December 31, 2019. The drum sets sell for $295 each. The company has a 30% income tax rate. Variable production costs Plastic for casing $ 115,700 Wages of assembly workers 404,950 Drum stands 155,750 Variable selling costs Sales commissions 106,800 Fixed manufacturing costs Taxes on factory 14,500 Factory maintenance 29,000 Factory machinery depreciation 89,000 Fixed selling and administrative costs Lease of equipment for sales staff 29,000 Accounting staff salaries 79,000 Administrative management salaries 159,000 Required: 1. Prepare a contribution margin income statement for the year. 2. Compute its contribution margin per unit and its contribution margin ratio.
Answer:
See below
Explanation:
1. Contribution margin income statement
Sales (4,450 × $295)
$1,312,750
Less: Variable costs
Plastic for casting
$115,700
Wages
$404,950
Drum stand
$155,750
Variable selling
$106,800
Contribution
$529,550
Less : Fixed costs
Taxes on factory
$14,500
Factory Maintenance
$29,000
Depreciation
$89,000
Lease of equipment
$29,000
Accounting staff salaries
$79,000
Admin management salaries
$159,000
Profit before tax
$130,050
Less :
Tax at 30%
$39,015
Profit after tax
$91,035
2. Contribution margin per unit
Contribution margin per unit = Total contribution / Number of units
Contribution margin per unit = $529,550 / 4,450
Contribution margin per unit = $119 per unit
•Contribution margin ratio
= Contribution margin per unit / Unit cost of drum
= $119 / $295
Contribution margin ratio = 40.34%
The Great Railway Strike of 1877 __________. Group of answer choices represented a weakness in the system that allowed railroads to shut down, thus shutting down commerce occurred when the Baltimore and Ohio railroad announced a pay cut of 10% for all of its workers was calmed when the railroad gave in to demands of the workers resulted in significant legislation to prevent railroad strikes from ever happening again
Answer:
occurred when the Baltimore and Ohio railroad announced a pay cut of 10% for all of its workers.
Explanation:
The Great Railway Strike of 1877 occurred when the Baltimore and Ohio railroad announced a pay cut of 10% for all of its workers.
Please answer !!! For a lot of points
Answer:
thanks for points
Explanation:
John, who has just completed his first finance course, is unsure whether he should take a course in business analysis and valuation using financial statements, since he believes that financial analysis adds little value, given the efficiency of capital markets. Explain to John when financial analysis can add value, even if capital markets are efficient.
Answer:
Following are the solution to the given question:
Explanation:
The financial analysis allows you to understand the strong a corporation's finances throughout the study of capital markets, which's very helpful. Mercedes typically produce short-term misprice for resources as well as the returns are created by an investor/fund manager. These gains also are called Alpha. Economic analysis shows whether an organization handles its money. Economic reporting in project management is useful to recognize its competitive edge of a capital market business and, ultimately, that company(asset) sells efficiently over a lengthy sector.
You want to receive $5000 per month for 20 years in real dollars in an account when you retire in 35 years. The first monthly payment to be received 1 month after you retire. The nominal return on your investment is 9.94 percent and the inflation rate is 3.2 percent. What is the real amount you must deposit each year for 35 years to achieve your goal
Answer:
The real amount you must deposit each year for 35 years to achieve your goal is $5,359.02
Explanation:
To calculate the real amount we need to calculate the real interest rate as follow
1 + Nominal rate = ( 1 + Real rate ) x ( 1 + Inflation rate )
1 + 9.94% = ( 1 + Real rate ) x ( 1 + 3.2% )
1.0994 = ( 1 + Real rate ) x 1.032
1 + Real rate = 1.0994 / 1.032
1 + Real rate = 1.06531
Real rate = 1.06531 - 1
Real rate = 0.06531
Real rate = 6.531% = 6.53%
We need to calculate the PV of the payment that should be received.
Use the following formula to calculate the present value
PV of Annuity = Annuity payment x ( 1 - ( 1 + Interest rate )^-numbers of annuity payments ) / Interest rate
Where
Annuity Payment = $5,000 per month
Interest rate = 6.53% / 12 = 0.5442%
Numbers pf annuity payments = 20 years x 12 payments per year = 240 payment
PLacing values in the formula
PV of Annuity = $5,000 x ( 1 - ( 1 + 0.5442% )^-240 ) / 0.5442%
PV of Annuity = $5,000 x 133.80362
PV of Annuity = $669,018.09
Now calculate the amount of deposit required to receive the payment after retirement.
Use the following formula to calculate the real deposit
Future value of annuity = Annuity Payment x ( 1 + Interest rate )^numbers of annuity payments - 1 ) / Interest rate
Where
Future value of annuity = $669,018.09
Interst rate = 6.53%
Numbers of annuity payment = 35 years x 1 payment per year = 35 payments
Annuity payment = Real amount of deposit = ?
Placing values in the formula
$669,018.09 = Real amount of deposit x ( 1 + 6.53% )^35 - 1 ) / 6.53%
$669,018.09 = Real amount of deposit x 124.83967
Real amount of deposit = $669,018.09 / 124.83967
Real amount of deposit = $5,359.02