A college education fund is to be accumulated by twenty level semi-annual deposits, the first due on Jan. 1, 2011. The fund is to provide sixteen quarterly withdrawals of $1000 each, the first due on Oct 1, 2020. The nominal annual rate of interest is 10% convertible semi-annually. What is the amount of each deposit?

Answers

Answer 1

Answer:

$395.74

Explanation:

the college fund requires 20 equal semiannual payments starting January 1, 2011 and the last one should be made on July 1, 2020.

first we must determine the effective rate of the fund:

effective rate = (1 + 10%/2)² - 1 = 10.25%

now we must determine the quarterly rate:

quarterly rate = (1 + r)¹/⁴ - 1 = 2.47%

the present value of the annuity:

PV = distribution x annuity factor

distribution = $1,000PV annuity factor, 2.47%, 16 periods = 13.08553

PV = $1,000 x 13.08553 = $13,085.53

that means that by July 1, 2020, you need to have $13,085.53 in your college fund

FV of an annuity = contribution x annuity factor

FV = $13,085.53FV annuity factor, 5%, 20 periods = 33.066

contribution = FV / annuity factor = $13,085.53 / 33.066 = $395.74


Related Questions

Given the following information for Smith Company's Northern Division, what is the division's EBITDA margin?

Revenue $44,140
Operating income 18,112
Depreciation 5,000
Amortization 1,422
Tax rate 20%

a. $37,718
b. $13,112
c. $24,534
d. $19,627

Answers

Answer:

EBITDA margin is 55.58%

Explanation:

EBITDA margin is computed as;

= EBITDA / Total revenue

Where,

EBITDA = Earnings before interest and taxes + depreciation + amortization

EBITDA margin = ($18,112 + $5,000 + $1,422) / $44,140

EBITDA margin = $24,534 / $44,140

EBITDA margin = 55.58%

More needs to be done to capitalise on the power of the peer-to-peer networks that many music downloaders still use. A recent study found that regular downloaders of unlicensed music spent an average of £5.52 a month on legal digital music. This compares to just £1.27 spent by other music fans. The research clearly shows that music fans who break
piracy laws are highly valuable customers. It also suggests that they are eager to adopt legitimate music services in the future. One researcher pointed out that "There's a myth that all illegal downloaders are mercenaries hell-bent on breaking
the law in pursuit of free music. In reality hardcore fans "are extremely enthusiastic about paid-for services, as long as they are suitably compelling, he said.
People who download unlicensed music tend not buy legal digital music.

A True
B False
C Cannot Say

Answers

Im pretty sure it’s true

The answer to the prompt that "People who download unlicensed music tend not buy legal digital music" is False.

Judging from the passage above, the answer to this prompt is false.

The passage makes it clear that those who regularly downloaded unlicensed music also "spent an average of £5.52 a month on legal digital music."

This shows that this crop of individuals are willing to purchase legal digital music.

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Which of the following was the first nation to prosper due to the use of power equipment vice (might be via) hand tools?
A. France
B. Great Britain
C. United States

Answers

Answer:

B). Great Britain

Explanation:

The first nation expanded due to the use of hand tools and power equipment was Great Britain. Its industries of handtools played a great role in flourishing the trade industries of Britain and gave a new significance to agricultural raw materials and craftsmen. The Great Britain's idea also gained from its rule of India as the Indian products suddenly raised demand in the market which compelled the state to bring a handmade craft revolution. Thus, option B is the correct answer.

The manager of the customer service department told one of her subordinates that, unless he agrees to see her outside of the office, she will block his promotion. The manager is guilty of:______

Answers

Answer:

Extortion

Explanation:

Time is money.

A few years ago the British government was considering​ retiring, or buying back from​ investors, some outstanding consols that had annual coupons of . A consol​ is:______

a. a coupon bond that pays a variable coupon rate and does not mature.
b. a coupon bond that pays a fixed coupon rate and has a fixed maturity date.
c. a coupon bond that pays a variable coupon and has a fixed maturity date.
d. a coupon bond that pays a fixed coupon rate and does not mature.

If the yield to maturity on other​ long-term British government bonds was 2.0​%, the price the British government is likely to offer investors is ​£ _________

Answers

Answer: d. coupon bond that pays a fixed coupon rate and does not mature.

$3250

Explanation:

A consol is a coupon bond that pays a fixed coupon rate and does not mature. Consols are consolidated annuities that are perpetual. A steady amount of interest is paid for a consol even though they're not redeemable

Price of a consol will be gotten as fixed coupon amount divided by the rate of return. Let's assume that the fixed coupon amount is $65, then the price will be:

= 65/2%

= $3250

A delivery tactic for outsourced projects is known as ______, ______, _______, and ________. Multiple Choice build, own, operate, transfer buy, test, retest, accommodate customer unit test, regression test, system test, customer test, transfer create, deliver, receive feedback, redeliver create, deliver, customer test, get paid

Answers

Explanation:

A delivery tactic for outsourced projects is known as and (A) build, own, operate, transfer B) buy, test, retest, accommodate customer C unit test, regression test, system test, customer test, transfer create, deliver, receive feedback, redeliver E) create, deliver, customer test, get paid

The International Monetary Fund​ (IMF): ___________.A. aids countries with balance of payment and exchange rate problems. B. in recent years has provided large loans to​ Russia, South​ Korea, and Brazil. C. was created as a result of the Bretton Woods Agreement. D. is all of the above.

Answers

Answer:

D. is all of the above.

Explanation:

The International Monetary Fund is a an international organisation that works to promote monetary cooperation between member countries, reduce poverty, and encourage economic growth around the world

It's member nations are 190 in number.

The IMF mainly aids countries with balance of payment and exchange rate problems.

Also IMF has helped Russia, South​ Korea, and Brazil by giving them loans in recent years.

The IMF was created as a result of Bretton Woods agreement.

After World war 2 in 1944 the central banks of allied nations agreed to fix the exchange rate of their currencies and the dollar. Members also agreed to not go into trade wars

At the beginning of its fiscal year, Lakeside Inc. leased office space to LTT Corporation under a ten-year operating lease agreement. The contract calls for quarterly rent payments of $28,000 each. The office building was acquired by Lakeside at a cost of $2.3 million and was expected to have a useful life of 25 years with no residual value.

What will be the effect of the lease on Lakeside's earnings for the first year (ignore taxes)?

Lakeside increases its earnings by $__________

Answers

Answer: $20,000

Explanation:

The effect of the lease on Lakeside's earnings will be the difference between the earnings from the lease and the cost of the building which will be depreciation.

Depreciation = 2,300,000/25

= $92,000 per year

Earnings per year;

= 28,000 * 4

= $112,000

Increase in earnings = 112,000 - 92,000

= $20,000

Average Accounting Return. Concerning AAR:a. Describe how the average accounting return is usually calculated and describe the information this measure provides about a sequence of cash flows. What is the AAR criterion decision rule?b. What are the problems associated with using the AAR as a means of evaluating a project’s cash flows? What underlying feature of AAR is most troubling to you from a financial perspective? Does the AAR have any redeeming qualities?

Answers

Answer:

a. Describe how the average accounting return is usually calculated and describe the information this measure provides about a sequence of cash flows. What is the AAR criterion decision rule?

Average accounting return = average net income / average investment

The problem with AAR is that net cash flows are not equal to net income since depreciation expense and changes in net working capital are not accounted for by AAR.

The criterion decision rule is that projects with an AAR above a certain measure.

b. What are the problems associated with using the AAR as a means of evaluating a project’s cash flows? What underlying feature of AAR is most troubling to you from a financial perspective? Does the AAR have any redeeming qualities?

it doesn't consider net cash flows, nor time value of money. Personally, accounting is an extremely important tool but it only reflects a partial perspective of a business. E.g. a business might have a huge net income but if it doesn't have enough cash to function, it will go bankrupt. In finance, cash is king.

Personally, my biggest problem with AAR is that it doesn't consider net cash flows. I've been on situations where the company I worked for was apparently doing great, but our accounts receivables were huge and we couldn't collect money fast enough. My job was basically go to different banks and convince them of loaning us cash. The worst part was that even without being able to collect cash, we still had to pay taxes and that was another huge problem.

I believe that AAR is still used because of its simplicity. Also, taxes are paid based on accounting profits and many firms base they compensation plans on them.

OCF from Several Approaches [L01] A proposed new project has projected sales of $125,000, costs of $59,000, and depreciation of $12,800. The tax rate is 35 percent. Calculate operating cash flow using the four different approaches described in the chapter and verify that the answer is the same in each case.

Answers

Answer:

Please see below

Explanation:

In order to calculate the operating cash flow, we will get the value of net income. The income statement is calculated as;

Sales

$125,000

Less :

Costs

($59,000)

Depreciation

($12,800)

EBIT

$53,200

Less tax 35%

($18,620)

Net income

$34,580

1. Using the tax shield method

OCF = (Sales - Costs)(1 - Tax) + Tax(Depreciation)

OCF = ($125,000 - $59,000)(1 - 35%) + 35%($12,800)

OCF = ($66,000)(0.65) + $4,480

OCF = $42,900 + $4,480

OCF = 47,380

2. Using the financial calculation

OCF = EBIT + Depreciation - Taxes

OCF = $53,200 + $12,800 - $18,620

OCF = $47,380

3. Using the top down approach

OCF = Sales - Costs - Taxes

OCF = $125,000 - $59,000 - $18,620

OCF = $47,380

4. Using the bottom up approach

OCF = Net income + Depreciation

OCF = $34,580 + $12,800

OCF = $47,380

PERSONAL FINANCE

Use what you have learned about secured and unsecured loans to complete these sentences.
A loan that is associated with a valuable asset that can be taken by the lender is
________. (a secure loan, an unsecured loan)
Ray needs to get a new set of tires for her car, so she uses her credit card. If she does not pay her bills, there is no asset that can be seized. This means her loan is
_______.(a secure loan, an unsecured loan)
Jack agrees to take out a mortgage. If he fails to make his payments, the bank may repossess his house, so his loan is
________.(a secure loan, an unsecured loan)

Answers

Answer:

1.is a secured loan

the second one is an unsecured loan

and the third is a secured loan

The correct words to complete the given sentences would be as follows:

- Secured

- Unsecured loan

- Secured loan

A loan is considered to be secure when the loan requires something like(assets, property, or jewelry) as the support to grant you the amount. While a loan that is not secured do not ask for any kind of security or collateral on the behalf of the loan amount that is paid to you. In the given situation, the first and third case requires security(asset and mortgage) for passing the loan while the second doesn't.Thus, the first and third demonstrate secured loans while the second one exemplifies an unsecured loan.

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Walters Corporation sells radios for $50 per unit. The fixed costs are $525,000 and the variable costs are 60% of the selling price. As a result of new automated equipment, it is anticipated that fixed costs will increase by $125,000 and variable costs will be 50% of the selling price. The new break-even point in units is:_____. a. 26,250.b. 26,000.c. 25,750.d. 21,000.

Answers

Answer:

b. 26,000 units

Explanation:

We will calculate break even point as;

Break even point = Fixed expenses ÷ Contribution margin per unit

Where,

Fixed costs = $525,000 + $125,000 = $650,000

Also, Contribution margin per unit = Selling price per unit - Variable expense per unit

Selling price per unit = $50

Variable expense per unit

= 50% × $50

= $25

Contribution margin per unit

= $50 - $25

= $25

Therefore, the break even point in units

= $650,000 ÷ $25

= 26,000 units

An import restriction (tariff or quota) creates a net loss in welfare for the importing nation because:___________
a. Domestic production rises in the importing country
b. Income is transferred from consumers in the importing nation to domestic producers
c. Income is transferred from consumers in the importing nation to their government
d. All of the above
e. None of the above

Answers

Answer:

Explanation:

An import restriction as the term implies is done to limit the amount of a certain good that is imported into the country. Usually this is done to protect the domestic producers of the good in question who are not be as efficient as the country being imported from and so charge higher prices.

The people in the economy will experience a net loss in welfare because they will now be paying higher prices and as well will be transferring some of their income to their government because import restrictions like tariffs will see their costs passed on to the consumer.

The efficient frontier of risky assets is
A. the portion of the investment opportunity set that lies above the global minimum variance portfolio.
B. the portion of the investment opportunity set that represents the highest standard deviations.
C. the portion of the investment opportunity set that includes the portfolios with the lowest standard deviation.
D. the set of portfolios that have zero standard deviation

Answers

Answer:

A. the portion of the investment opportunity set that lies above the global minimum variance portfolio.

Explanation:

The Efficient frontier refers to the portfolios set that involves that expected return whose return is high at the level of minimum risk so the asset that contains the high risk profile that investment opportunity set portion should be above the variance portfolio i.e. minimum globally

Therefore the correct option is a.

Bagrov Corporation had a net decrease in cash of $10,500 for the current year. Net cash used in investing activities was $52,500 and net cash used in financing activities was $38,500. What amount of cash was provided (used) in operating activities?
A. $(101,500) used.
B. $(10,500) used.
C. $101,500 provided.
D. $80,500 provided.
E. $(80,500) used.

Answers

Answer:

I believe the answer to that would be B.

Explanation:

Plz mark as Brainliest!

Considering the needs of a global audience is essential to success in the hospitality and tourism industry?

Answers

Answer:

True

Explanation:

In simple words, the hospitality and tourism industry refers to the activities related to accommodation, restaurant and tourism etc. In such industries the main focus of the companies is the comfort and joy of their clients. This becomes difficult to implement as every individual have different needs and circumstances. Thus, the planning of activities should be made in such a way that it suited the global audience.

Beatrice Company estimates that unit sales of its lawn chairs will be 8,000 in October; 8,700 in November; and 9,650 in December.

Required:
Compute Beatrice’s sales budget for the fourth quarter assuming each unit sells for $27.50.

Answers

Answer:

Following are the solution to this question:

Explanation:

                                             Oct              Nov                  Dec              4th Quarter

Unit of budget sales            [tex]7,200 \ \ \ \ \ \ \ \ \ \ \ \ 7,400 \ \ \ \ \ \ \ \ \ \ \ \ 7,100 \ \ \ \ \ \ \ \ \ \ \ \ 21,700[/tex]

 Cost for sale                       [tex]27.5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 27.5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 27.5\ \ \ \ \ \ \ \ \ \ \ \ \ \ 27.5[/tex]

[tex]\text{Complete selling Budgeted}[/tex]  [tex]\$ \ 198,000 \ \ \ \ \ \ \$ \ 203,500 \ \ \ \ \ \ \$\ 195,250 \ \ \ \ \ \ \$ \ 596,750[/tex]

The business cycle measures: Group of answer choices fluctuations in the profit of businesses. fluctuations in the long-run trend growth rate of GDP. short-run fluctuations in economic activity. fluctuations in the average tax rate paid by businesses. fluctuations in consumption. g

Answers

Answer:

short-run fluctuations in economic activity.

Explanation:

The business cycle measures short-run fluctuations in economic activity.

What restriction did the US government place on advertising in 1997?
O
A.
a ban on tobacco advertising
B.
a ban on direct mail advertising
OC.
a ban on advertisements related to food, cosmetics, and healthcare products
D.
a ban on deceptive advertisements
O E.
a ban on internet advertisements

Answers

Answer:

The answer should be D, a ban of deceptive advertisements.

Explanation:

In the 90s the government cracked down on deceptive advertising more than ever and more laws on the matter were added. The only other option that was actually ever banned was A, none of the other choices were ever banned. The ban on tobacco happened in the 70s under Nixon, that makes D the only possible answer. Hope this helps! :)

Answer:

D

Explanation:

The Tobacco Master Settlement Agreement reached in 1997 bans outdoor, billboard and public transportation advertising of cigarettes in 46 states. Restrictions on cigarette were further tightened in 2010 with passage of the Family Smoking Prevention and Tobacco Control Act.

a firm has a market value of equity of 30,000. it borrows 7500 at 8%. if the unlevered cost of equity is 16%, what is the firms cost of equity capital

Answers

Answer:

18%

Explanation:

Ke = Kul +[Kul+Kd] [D/E]

Unlevered cost of Equity(Kul)= 16%, Cost of Debt(kd) = 8%, Debt = $7500 & Equity = $30,000

ke= 0.16+(0.16-0.08)(7,500/30,000)

ke= 0.16+(0.08)(0.25)

ke= 0.16 + 0.02

ke= 0.18

Ke = 18%

Thus, the firms cost of equity capital is 18%

You own a movie theater. The theater generates $100,000 per year in net income. This is expected to grow at 2% per year. Someone offers to buy the theater from you. How much should you charge as the selling price of the theater?

Answers

Answer: $1275000

Explanation:

From the question, we are informed that a theater generates $100,000 per year in net income and it is expected to grow at 2% per year.

The selling price of the theater if someone offers to buy will be:

= net income × (1+g) / (r-g)

= $100,000 × (1 + 2%) / (10% - 2%)

= $100,000 × (1.02) / (0.08)

= $1275000

The amount of money which the theater owner should charge as the selling price of the theater is:

$1275000

According to the given question, we are asked to calculate the selling price of a movie theater, when we factor in the net  income, expected growth, etc.

As a result of this, we can see that to make the necessary calculations, we have to take note of some important things such as:

Net income

Expected growth rate

The net income is $100, 000 per year

The expected growth rate is 2% per year

With this in mind, the owner can calculate the selling price as net income × (1+g) / (r-g) which would give us $100,000 x 91.02)/ (0.08)

= $1275000

Therefore, the correct answer is $1275000

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Marigold Corp. gathered the following reconciling information in preparing its April bank reconciliation: Cash balance per books, 4/30 $13700 Deposits in transit 1900 Notes receivable and interest collected by bank 4620 Bank charge for check printing 160 Outstanding checks 9400 NSF check 870 The adjusted cash balance per books on April 30 is:______.

Answers

Answer:

Marigold Corp. gathered the following reconciling information in preparing its April bank reconciliation: Cash balance per books, 4/30 $13700 Deposits in transit 1900 Notes receivable and interest collected by bank 4620 Bank charge for check printing 160 Outstanding checks 9400 NSF check 870.

The adjusted cash balance per books on April 30 is:__$17,290.

Explanation:

a) Data and Calculations:

Cash balance per books, 4/30 = $13,700

Deposits in transit 1,900

Notes receivable and interest collected by bank 4,620

Bank charge for check printing 160

Outstanding checks 9,400

NSF check 870

b) Cash balance per books, 4/30                           $13,700

Notes receivable and interest collected by bank     4,620

Bank charge for check printing                                    -160

NSF check                                                                     -870

Adjusted cash balance as per books on April 30 $17,290

c) The adjusted cash balance of $17,290 will be equal to the balance on the bank statement on the same date, unless there is another accounting error that is not listed above.

how is the aggregate supply curve for the economy related to the supply curves of individual producers?​

Answers

Answer:

The aggregate supply curve depicts the quantity of real GDP that is supplied by the economy at different price levels. Increases in the price level will increase the price that producers can get for their products and thus induce more output. ...

A company expects to sell 15,000 units in the first quarter, 18,000 units in the second quarter, and 20,000 units in the third quarter. The company desires to maintain an inventory at the end of each quarter equal to 10% of next quarter expected sales. How many units does the company plan to produce in the second quarter?

Answers

Answer:

the number of units produced in the second quarter is 18,200 units

Explanation:

The computation of the number of units that have to plan for producing in the second quarter is shown below:

= Sales units - opening inventory units + closing inventory units

= 18,000 units - (18,000 units × 10%) + (20,000 units × 10%)

= 18,000 units - 1,800 units + 2,000 units

= 18,200 units

hence, the number of units produced in the second quarter is 18,200 units

Gabriella, a single taxpayer, has wage income of $160,000. In addition, she has $7,000 in long-term capital losses, $1,000 in long-term capital gains, $3,000 in short-term capital gains, and $1,000 in short-term losses. What is Gabriella's AGI for 2017?a. $157,000.
b. $160,000.
c. $156,000.
d. $161,000.

Answers

Answer:

c. $156,000

Explanation:

Adjusted gross income = Wage income + Long-term capital gains + Short-term capital gains - Long-term capital losses - Short-term losses

Adjusted gross income = $160,000 + $1,000 + $3,000 - $7,000 - $1,000

Adjusted gross income = $156,000

Thus, Gabriella's AGI for 2017 is $156,000

Equipment which cost $446,000 and had accumulated depreciation of $248,000 was sold for $222,000. This transaction should be shown on the statement of cash flows (indirect method) as a(n):_________

Answers

Answer and Explanation:

The computation is shown below:

For profit or loss  on the sale of an equipment

Cost  $446,000

Less: accumulate depreciation -$248,000

Book value $198,000

Less: sold value -$222,000

Loss on sale of an equipment -$24,000

This amount would be added to the net income

And, the sale value i.e. $222,000 should be shown in the investing activity in a positive amount

According to the basic DCF stock valuation model, the value an investor should assign to a share of stock is dependent on the length of time he or she plans to hold the stock.A. True B. False

Answers

Answer:

According to the basic DCF stock valuation model, the value an investor should assign to a share of stock is dependent on the length of time he or she plans to hold the stock.

A. True

Explanation:

The DCF (Discounted Cash Flow) method of stock valuation is based on the assumption of the time-value of money.  This approach considers that the cash flow that is received today is much more than the same amount of cash flow received any other time in the future.  And the time of the future receipt or payment affects the amount of the cash flow, with decreasing consequences based on increasing time into the future.

A firm has a machine it can sell for $40,000. The book value of the machine is currently $20,000. If the firm sells the machine, what are the net proceeds from the sale? Assume that the tax rate is 40%. Round to the nearest penny.

Answers

Answer:

the net proceeds from the sale is $32,000

Explanation:

The computation of the net proceeds from the sale is shown below:

Net Proceeds = Sale Price - Tax × (Sale price - purchase price)

=  $40,000 - 40% × ($40,000  - $20,000)

= $40,000 - $8,000

= $32,000

Hence, the net proceeds from the sale is $32,000

We simply applied the above formula so that the correct value could come

And, the same is to be considered

The balance in the Bonds Payable is a credit of $79,000. The balance in the Premium on Bonds Payable is a credit of $1,600. What is the bond carrying amount?

a. $1,600
b. $80,600
c. $79,000
d. $77,400

Answers

Answer:

b. $80,600

Explanation:

The computation of the bond carrying amount is shown below:

= Balance in the bond payable + premium on bond payable

= $79,000 + $1,600

= $80,600

Hence, the bond carrying amount is $80,600

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Therefore the correct option is b.

If you decide to take a break and go for a hike in order to focus less consciously on the creative process, which stage is the creative process are you experiencing?

Answers

Answer: Incubation

Explanation: In the incubation stage the person moves away from the problem and gives space to the mind to search for a solution. An example is going for a walk to relax your mind a bit and ideas flow better.

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