A family starts an education fund for their son Patrick when he is 8 years old, investing $500 on his eighth birthday, and increasing the yearly investment by $500 per year until Patrick is 21 years old. The fund pays 6% annual interest. What is the fund’s future worth after the deposit when Patrick is 21?

Answers

Answer 1

Answer:

The fund’s future worth after the deposit when Patrick is 21 is $8,713,691.01.

Explanation:

This can be calculated using the for formula for calculating the future value of a growing annuity as follows:

FW = C * (((1 + r)^n - (1 + g)^n) / (r - g))

Where;

FW = future worth or future value = ?

C = first deposit = $500

r = annual interest rate = 6%, or 0.06

g = growth rate of investment = Yearly investment increase / First deposit = $500 / $500 = 1

n = number of years = 21 - 8 + 1 = 14

Substituting all the values into equation (1), we have:

FW = $500 * (((1 + 0.06)^14 - (1 + 1)^14) / (0.06 - 1))

FW = $500 * ((1.06^14 - 2^14) / - 0.94)

FW = $500 * (2.26090395575443 - 16,384) / -0.94)

FW = $500 * (-16,381.7390960442 / -0.94)

FW = $500 * 17,427.3820170683

FW = $8,713,691.00853415

Rounding to 2 decimal places, we have:

FW = $8,713,691.01

Therefore, the fund’s future worth after the deposit when Patrick is 21 is $8,713,691.01.


Related Questions

Iron Works International is considering a project that will produce annual cash flows of $38,000, $46,700, $57,400, and $22,900 over the next four years, respectively. What is the internal rate of return if the project has an initial cost of $113,000

Answers

Answer: 17.76%

Explanation:

The Internal Rate of Return is the discount rate that makes the Net Present Value equal to 0.

It can be calculated with several method such as using an Excel worksheet.

= IRR ( -113000,38000,46700,57400,22900)

= 17.76%

With a multidomestic corporate-level strategy the firm's need for local responsiveness is ___ while its need for global integration is ___.

Answers

Answer:

High/low

Explanation:

multidomestic strategy can be regarded as international marketing approach that places more values on local market structure over global approach. The strategy uses commercial as well as advertising effort in acheiving this. It should be noted thatWith a multidomestic corporate-level strategy the firm's need for local responsiveness is high while its need for global integration is low

A firm had after-tax income last year of $1.2 million. Its depreciation expenses were $ 0.4 million, and its total cash flow was $1.2 million. What happened to net working capital during the year? (Enter your answer in millions rounded to 1 decimal place.)

Answers

Answer:

Net working capital is increased by $0.4 million during the year

Explanation:

Net working capital is the net value of current assets and current liabilities for the period. The change in cash during the period also affects the working capital.

First we need to calculate the operating cash flows

Operating cash flow = Aftertax income + Depreciation Expense

Operating cash flow = $1.2 million + $0.4 million

Operating cash flow = $1.6 million

The change in working capital can be calculated as follow

Change in working capital = Operating cash flow - Total cash flow

Change in working capital = $1.6 million - $1.2 million

Change in working capital = $0.4 million

Hence The networking capital is increased by $0.4 million ( assuming there is no change in current liabilities )

What is the next line?

>>> myDeque = deque('abc')
>>> myDeque.appendleft('x')
>>> myDeque

A. deque([ 'b', 'c'])
B. deque(['x', 'a', 'b', 'c'])
C. An error statement since deques do not have an appendleft method.
D. deque([' 'a', 'b', 'c', 'x'])

Answers

Answer:

B. deque(['x', 'a', 'b', 'c'])

Explanation:

>>> myDeque.appendleft('x') means you put an x in front of the deque.

If you are interested in buying a new pair of sneakers, you could go to Foot Locker where you will find several different brands. At the same time, for companies that manufacture sneakers, selling through Foot Locker will make it easier to reach a lot of potential buyers. This illustrates how channel intermediaries offer _______________________________.

a. contact efficiency
b. channel effectiveness
c. reciprocity utility
d. buying utility
e. forward integration

Answers

Answer:

a. contact efficiency

Explanation:

Contact efficiency is defined as the way by which businesses cut the number of transactions of stages that exist between a product and the final consumer.

Typically it results in a wide variety of options of goods and services to be available to the consumer in on place.

The consumer finds it easy to get what he is looking for and the supplier has a ready market for his goods.

In the given scenario Foot Locker effectively uses contact efficiency by making the consumer find several different brands of shies. At the same time, for companies that manufacture sneakers, selling through Foot Locker will make it easier to reach a lot of potential buyers.

Elite Trailer Parks has an operating profit of $251,000. Interest expense for the year was $33,900; preferred dividends paid were $30,100; and common dividends paid were $44,700. The tax was $68,100. The firm has 25,700 shares of common stock outstanding.

Required:
a. Calculate the earnings per share and the common dividends per share for Elite Trailer Parks. (Round your answers to 2 decimal places.)
b. What was the increase in retained earnings for the year?

Answers

Answer:

EBIT = $251,000

interest expense = $33,900

taxes = $68,100

net income = $251,000 - $33,900 - $68,100 = $149,000

preferred dividends = $30,100

total stocks outstanding = 25,700

common dividends = $44,700

a) EPS = (net income - preferred dividends) / outstanding common stocks = ($149,000 - $30,100) / 25,700 = $4.63 per share

commons dividends per share = common dividends / outstanding common stocks = $44,700 / 25,700 = $1.74

b) retained earnings increase = net income - preferred dividends - common dividends = $149,000 - $30,100 - $44,700 = $74,200

The following information relates to next year's projected operating results of the Children's Division of Grunge Clothing Corporation:

Contribution margin.... 200,000
Fixed Expense.... 500,000
Net operating loss..... (300,000)

If Children's Division is dropped, half of the fixed costs above can be eliminated. What will be the effect on Grunge's profit next year if Children's Division is dropped instead of being kept?

a. 50,000 increase
b. 250,000 increase
c. 250,000 decrease
d. 550,000 increase

Answers

Answer:

a. 50,000 increase

Explanation:

the company will save money by discontinuing this division since currently it is losing $300,000, but if it discontinues this division, it will only lose $250,000 which means that operating income will increase by $50,000

differential analysis:

                                      option 1                     option 2                 differential

                                      continue operating  discontinue oper.  amount

contribution margin      $200,000                 $0                          ($200,000)

fixed expenses            ($500,000)                ($250,000)             $250,000

net change                   ($300,000)                ($250,000)              $50,000

Managerial accounting information includes all of the following except: financial statements prepared in accordance with generally accepted accounting principles. performance evaluations, for example budget-to-actual reports. cost reports. budgets.

Answers

Answer:

financial statements prepared in accordance with generally accepted accounting principles.

Explanation:

Managerial accounting also known as cost accounting is an accounting technique focused on identification, measurement, analyzing, interpretation, and communication of financial information to managers for better decisions making and pursuit of the organization's goals.

Managerial accounting information includes all of the following performance evaluations, for example budget-to-actual reports, cost reports and budgets except financial statements prepared in accordance with generally accepted accounting principles.

Hence, managerial accounting information is normally provided to managers whenever they need or require it because they are a part of the internal decision makers. Managerial accounting typically comprises of both non-monetary and monetary informations about an organization.

Basically, financial statements prepared in accordance with generally accepted accounting principles are referred to as financial accounting.

Managerial accounting is typic of accounting that creates the reports and documents. It helps the management in making the decision relate to the business.

It is mainly used for internal purposes. It also focus on making future projections. Hence the cost reports. budgets is correct.

Learn more about the Managerial accounting information

brainly.com/question/21123343.

You own a portfolio that is 34 percent invested in Stock X, 49 percent in Stock Y, and 17 percent in Stock Z. The expected returns on these three stocks are 8 percent, 11 percent, and 13 percent, respectively. What is the expected return on the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

Answers

Answer:

Portfolio return = 0.1032 or 10.32%

Explanation:

To calculate the expected rate of return of a stock portfolio, we take the weighted average of the expected return for each stock contained in the portfolio. The formula to calculate the expected return of portfolio is,

Portfolio return = wA * rA  + wB * rB  +  ...  +  wN * rN

Where,

w represents the weight of each stock  in the portfolior represents the return of each stock

Portfolio return = 0.34 * 0.08  +  0.49 * 0.11  +  0.17 * 0.13

Portfolio return = 0.1032 or 10.32%

SnowPants for the children’s department cost $27.60 each. If a 54% markup is required, what minimum retail would achieve this markup?

Answers

Answer:

$42.51

Explanation:

markup percentage = (selling price - cost) / cost

54% = (selling price - $27.60) / $27.60

54% x $27.60 = selling price - $27.60

$14.904 = selling price - $27.60

selling price = $42.504 ≈ $42.51 we must round up since we are looking for the price that would yield the markup %, if we round down, then the markup % would be slightly below 54%

The law of diminishing returns only applies in cases where:

Answers

Answer:

C)  there is at least one fixed factor of production.

Multiple-choice options

A) there is increasing scarcity of factors of production.

B) the price of extra units of a factor is increasing.

C) there is at least one fixed factor of production.

D) capital is a variable input.

Explanation:

he law of diminishing marginal returns cites that adding extra input while maintaining the others fixed will cause the overall output to decrease . Adding one more production input while keeping the rest intact decreases the marginal returns and increases the average production cost.

The law only applies where there at least one fixed input. When the firm uses more of the variable input, the firm's marginal product will eventually decrease.

Last year Thomson Inc's earnings per share were $3.50, and its growth rate during the prior 5 years was 6.6% per year. If that growth rate were maintained, how many years would it take for Thomson's EPS to triple?

a. 17.19
b. 15.99
c. 13.41
d. 15.13
e. 15.81

Answers

Answer:

a. 17.19

Explanation:

We use the formula:  A=P(1+r/100)^n

A= P ( 1+ 2/100) ^ n  

Let P = $ 3.5

Hence, A= $ 3*3.50

= $ 10.50

Hence, 10.50 = 3.50*(1+6.6/100) ^n

or 3 = (1.066) ^ n

Taking log on both sides we get,  log 3 = n log (1.066)

Hence, n = Log 3/ log (1.066)

n = 17.18909595 Years

You are trying to decide which of the following three cities in which to locate a new manufacturing facility, and you have gathered the following information about each:

City Annual Fixed Cost Variable Cost (per unit)
Singapore $30,000 $2
Hong Kong $20,000 $3
Niagara Falls $10,000 $6

If this facility will produce 15,000 units annually, where should you locate it:_______

a. Hong Kong
b. either Hong Kong or Niagara Falls
c. Niagara Falls
d. either Singapore or Niagara Falls
e. Singapore

Answers

Answer:

If this facility will produce 15,000 units annually, where should you locate it:_______

e. Singapore

Explanation:

a) Data and Calculations:

Annual Units of Production = 15,000

City                 Annual Fixed Cost   Variable Cost        Total Costs   Per Unit

                                                       (per unit)    Total                            in Total

Singapore                  $30,000           $2      $30,000   $60,000      $4.00

Hong Kong                $20,000           $3        45,000     65,000       $4.33

Niagara Falls              $10,000           $6       90,000   100,000       $6.67

b) The facility should be located at Singapore because it has the least total costs for producing 15,000 units.  Though, its fixed cost is highest, its variable cost per unit of $2 reduced the total costs to $60,000 annually.  This is the lowest among the three locations.  The implication is that variable costs and not fixed costs should determine the decision choice.

A project organization structure where team members report to a functional manager as well as to the project manager is called A. a matrix structure. B. a functional structure. C. a fixed structure. D. a pure project structure.

Answers

Answer:

A. a matrix structure.

Explanation:

A matrix organizational structure is a type work structure where reporting relationships between employees are set up as a matrix rather than the conventional hierarchy approach. This simply means, there are two (2) chains of command; employees have dual reporting relationships to both a project and functional manager.

The matrix organizational structure can be classified into three (3) categories, these are;

1. Weak matrix structure.

2. Balanced matrix structure.

3. Strong matrix structure.

In project management, a strong matrix is also known as the project matrix and it basically refers to a matrix project that is significantly similar or having close resemblance with the pure project. In the strong matrix structure, the project manager controls most of the project activities and functions, including the assignment and control of project resources.

This ultimately implies that the project manager primarily holds a full-time role and has a sole authority, and as such control the budget. The role of the functional manager is usually minimal.

Hence, a project organization structure where team members report to a functional manager as well as to the project manager is called a matrix structure.

Of the 1,600 units sold during the period, 300 were from the beginning inventory; 500 from the first purchase; 600 from the second purchase; and 200 from the last purchase. Using the first-in, first-out costing method, the value of the inventory on hand at the end of the period would be

Answers

Answer: $2,750

Explanation:

Relevant data is attached.

If they were using the First-in, first-out costing method, it means that the earlier goods would have been sold first.

If they sold 1,600 units, this means that the following were sold;

300 from the beginning inventory; 500 from the first purchase; 700 from the second purchase; and 100 from the last purchase.

The ending inventory is therefore 500 units from the third purchase;

= 500 * 5.5

= $2,750

Kyle actively participates in the rental of a home he owns. Kyle's AGI for the year is $75,000. He has a loss from his rental property of $20,000. How much of the loss can Kyle deduct on his income tax return this year

Answers

Answer:

Kyle can deduct $20,000 loss from his income tax return this year.

Explanation:

a) Data:

Kyle's AGI = $75,000

Rental property loss = $20,000

Maximum AGI for maximum loss deduction of $25,000 = $100,000

This is because Kyle's adjusted gross income (AGI) is less than $100,000.  The maximum loss deductible for rental income is $25,000.

b) The federal tax law allows for a rental income loss deduction to taxpayers who own and rent property in the U.S.   The law stipulates that up to $25,000 may be deducted as a real estate loss per year as long as the individual's adjusted gross income is $100,000 or less.

Claymore Corp. has the following information about its standards and production activity for September. The volume variance is: ________

Actual total factory overhead incurred $32,710
Standard factory overhead:
Variable overhead $4.70 per unit produced
Fixed overhead ($12,250/4,900 estimated units to be produced) $2.50 per unit
Actual units produced 3,800 units

Answers

Answer: $2,200 Unfavorable

Explanation:

Volume variance is the difference between actual and budgeted output so can be calculated by;

= (Budgeted output - Actual output) * overhead rate

= (4,900 - 3,800) * 2

= $2,200 Unfavorable

Unfavorable because they produced less than the budget indicated that they would.

Which of the following is a standard term that describes the audience of retail
stores-that is the people who will buy things from the stores?"
A customers
B manufacturers
C wholesalers
D buyers

Answers

Answer:

A.

Explanation:

the customers are an audience of retail. retail is shopping.

The parameters of a waiting line system include all of the following except: a. service time.b. cost of capacity.c. queue discipline.d. arrival rates.

Answers

Answer:

b. cost of capacity

Explanation:

A waiting line system can be defined as the number of customers (people) or items (products) that are waiting to receive a service or cleared for the service taken i.e to successfully complete a transaction.

Hence, the parameters of a waiting line system include all of the following;

a. Service time: this is simply the total time it takes to complete a transaction process successfully.

b. Queue discipline: it is uses rules such as first-in first-out.

c. Arrival rates: the time each customer arrives for the service.

Which of the following is used by entrepreneurs
to acquire experience in an international market
before making a major commitment?
Select one:
1. Merger
2. Minority interest
3. Joint venture
4. Majority interest​

Answers

Answer:

i think it's merger or majority interest

The correct option is 2. Minority interest.

The following information should be considered:

Minority interest represents the ownership or interest of less than 50% of an enterprise.A minority interest shows as a noncurrent liability on the balance sheet of companies with a majority interest in a company. This shows the proportion of its subsidiaries owned by minority shareholders.Also, it should be used by the entrepreneurs  to acquire experience in an international market

Learn more: brainly.com/question/17429689

Forecasts are the foundation of the planning process. There are many methods available but the trick is to find the one that fits the __________ and is adaptable to the available

Answers

Forecasts are the foundation of the planning process. There are many methods available but the trick is to find the one that fits the __need__ and is adaptable to the available _data__


Which phrase correctly defines the motives of a business?
Ο Α.
satisfying the needs of people
OB.
helping a country's economy grow
O C.
incurring expenses
OD.
earning profits and providing value in the form of goods or services
Reset
Next

Answers

Answer:

the new Yorker and the times in which I am not 77th century

Explanation:

the first is that the target of an agreement 88th century has in its way through the keruxsj

In most countries, ________ are the major buyers of goods and services. They typically require suppliers to submit bids and often award the contract to the lowest bidder.
A) consumer packaged-goods companies
B) government organizations
C) health services vendors
D) educational institutions
E) households

Answers

Answer:

B) government organizations

Explanation:

From the question, one might be tempted to believe that households(option E) is the correct answer, but households would not require suppliers to  submit bids.

The process of requesting bids and awarding contracts to the lowest bidder is peculiar to government establishments as they often required to keep expenses at the lowest minimum possible in order to stay within the budget expenditure earmarked for the year.

All in all, without any iota of doubt, option B is the most  appropriate in this circumstance

Signal mistakenly produced 1,075 defective cell phones. The phones cost $66 each to produce. A salvage company will buy the defective phones as they are for $38 each. It would cost Signal $86 per phone to rework the phones. If the phones are reworked, Signal could sell them for $136 each. Signal has excess capacity. Should Signal scrap or rework the phones.

Required:
Compute the incremental net income from reworking the phones.

Answers

Answer:

If the phones are reworked, income will increase by $12,900.

Explanation:

Because we need to determine the incremental income, we will not take into account the original costs. They remain constant in both options.

Sell as-is:

Effect on income= 1,075*38

Effect on income= $40,850 increase

Rework:

Effect on income= 1,075*(136 - 86)

Effect on income= $53,750

If the phones are reworked, income will increase by $12,900.

A manager believes his firm will earn a 14 percent return next year. His firm has a beta of 1.2, the expected return on the market is 11 percent, and the risk-free rate is 5 percent. Compute the return the firm should earn given its level of risk. (Round your answer to 2 decimal places.)

Answers

Answer:

r = 0.122 or 12.2%

Explanation:

Using the CAPM, we can calculate the required/expected rate of return on a stock. This is the minimum return required by the investors to invest in a stock based on its systematic risk, the market's risk premium and the risk free rate.  

The formula for required rate of return under CAPM is,

r = rRF + Beta * (rM - rRF)

Where,

rRF is the risk free rate rM is the market return

r = 0.05  +  1.2 * (0.11 - 0.05)

r = 0.122 or 12.2%

Do you believe that developing and applying project management skills can help most individuals and organizations? Justify your response.
your response.

Answers

Answer:

Explanation:

Good project management discipline is the way to overcome these shortcomings. Having good project management skills does not mean you have no problems. It does not mean that risks go away. It does not mean that there are no surprises. The value of good project management is that you have standard processes in place to deal with all contingencies.

Project management processes and techniques are used to coordinate resources to achieve predictable results. However, it should be understood that project management is not an exact science and there is never a guarantee of success. Since projects involve people, there is always complexity and uncertainty that cannot be absolutely controlled.

Project management is both science and art. It is science in that it relies on proven and repeatable processes and techniques to achieve project success. It is an art because it also involves managing and relating to people and requires the project manager to apply intuitive skills in situations that are totally unique for each project. A good project management methodology provides the framework, processes, guidelines and techniques to manage the people and the work. A good methodology increases the odds of being successful and therefore provides value to the organization, the project and the project manager.

The characteristics of the project are not going to change whether you use a formal project management process or not. What changes is how the events are dealt with when the project is in progress. Are they dealt with haphazardly and reactively or proactively with a smoothly running process?

Generally, it is believed that organizations that follow good processes are more successful than organizations that do not. Organizations that have good processes. These organizations get more work done and they tend to do the work that is of most value. They also have organizational systems in place to help make everyone more successful, including project managers.

If producers believe that the economy is strong so that investment spending increases, we would expect to see:__________

a. an increase in the demand for money.
b. a decrease in the demand for money.
c. an increase in the quantity of money demanded.
d. a decrease in the quantity demanded of money.
e. no change in the demand for money.

Answers

Answer: c. an increase in the quantity of money demanded.

Explanation:

If producers believe that the economy is strong they will try to capitalize on this to get more profit by expanding operations. To do so they would need some funding.

They will go to investors looking for this funding which means that there will be an increase in the quantity of money demanded in the economy as these producers seek funds to expand.

If fixed costs are $46,800, the unit selling price is $42, and the unit variable costs are $24, the break-even sales (units) if the variable costs are decreased by $2 is:__________ a. 1,950 units b. 2,340 units c. 1,114 units d. 2,127 units

Answers

Answer: b. 2,340 units

Explanation:

Break-even sales refers to the amount of sales that would give the company $0 profits.

It can be calculated by the formula;

= Fixed Costs / Contribution Margin

Contribution Margin = Sales - Variable costs

= 42 - (24 - 2)

= $20

Breakeven = 46,800/20

= 2,340 units

During 2019, Lopez Corporation disposed of Pine Division, a major component of its business. Lopez realized a gain of $2,400,000, net of taxes, on the sale of Pine's assets. Pine's operating losses, net of taxes, were $2,800,000 in 2019. What is the gain or loss from discontinued operations reported net of taxes

Answers

Answer:

Continued operation = 0

Discontinued operation = $400,000

Explanation:

Lopez corporation realized a gain of $2,400,000

Pine operating losses were $2,800,000

Therefore the loss or gain from discontinued operation can be calculated as follows

= $2,400,000-$2,800,000

= -$400,000

= $400,000 loss

Hence continued operation is 0 and discontinued operation is $400,000

Wrote Analysts has just used the CAPM model to compute an rE of 18.679% for the VaperWare company. It found rE by, among other things, computing Beta from a regression between the historical stock returns of Vaperware and the SPY ETF. The R2 of this regression was 12%.

Required:
What could possibly be problematic with WroteAnalysts' estimated rE for the VaperWare company?

Answers

Answer:

What Grade is this again?

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