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

Samuelson's has a debt–equity ratio of 43 percent, sales of $10,000, net income of $1,700, and total debt of $8,700. What is the return on equity?

Answers

Answer:

8.40%

Explanation:

Calculation for the return on equity

First step is to calculate the equity using this formula

Equity=Total debt/Debt–equity ratio

Let plug in the formula

Equity=$8,700/43%

Equity=$20,233

Last step is to calculate the return on equity

Using this formula

Return on Equity=Net income/Equity

Let plug in the formula

Return on Equity=$1,700/$20,233

Return on Equity=8.40%

Therefore the return on equity will be 8.40%

When evaluating an investment, the MNC should consider the ____________ cash flows generated by the project.

a. total
b. variable
c. incremental
d. fixed

Answers

Answer: c. Incremental

Explanation:

Simply put incremental cashflow is the additional cashflow that accrues to a company when it takes on a new project. The Multinational company should therefore consider this when they are accepting a project.

If the new project has a positive incremental cashflow, it will add to the cashflows of the company and so should be initiated as opposed to those with negative incremental cashflows.

Keynes revolutionized economic theory by changing the explanation for what causes economic growth from aggregate _______ to aggregate _______.

a. demand; supply
b. supply; demand
c. cost; inflation
d. GDP; income

Answers

Answer:

b. supply; demand

Explanation:

Before Keynes, classical economists thought that aggregate supply was more important than aggregate demand in determining the overall economic level of a country. This was mainly because of the belief in say's law: the law stated that every offer creates its own deamand.

Keynes changed economics because he stated that demand and supply do not always reach equilibrium, and that demand is often insufficient, and it is the government job to stimulate demand through expansionary monetary and fiscal policy, like lowering interest rates and cutting taxes.

A snack manufacturer discovers that they must increase the salt content of chips by 14 milligrams before about 50 percent of their consumers notice the change. A clever intern points out that this is an example of:

Answers

Answer:

difference threshold

Explanation:

Difference threshold is use by businesses or effectively reduce cost without affecting their profit margin .

It is the minimum amount of change that is required to make consumers of a product to notice the change 50% of the time.

In the given scenario the snack manufacturer discovers that they must increase the salt content of chips by 14 milligrams before about 50 percent of their consumers notice the change.

A stock has the following returns over three consecutive years: 85%, 58%, and 128%. What is the arithmetic average?

Answers

Answer:

The stock's arithmetic average is:

90.33%.

Explanation:

a) Data and Calculations:

Returns over three consecutive years:

Year 1 =   85%

Year 2 =  58%

Year 3 = 128%

Total returns = 271%

Average = Total returns divided by number of years

= 271/3

= 90.333

=90.33%

b) The arithmetic average is the total returns divided by the number of years involved.  This implies that we find the average or the mean by adding up some pieces of data together and dividing by the number of the pieces of data.

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.

scientific management.

management by objectives (MBO).

the program evaluation and review technique (PERT).

programmed management.

Answers

Answer:

im bored soo hi

Explanation:

Stenson, Inc., imposes a payback cutoff of three years for its international investment projects. Assume the company has the following two projects available. Year Cash Flow A Cash Flow B 0 –$ 64,000 –$ 109,000 1 26,500 28,500 2 34,400 33,500 3 28,500 25,500 4 14,500 231,000 What is the payback period for each project?

Answers

Answer:

Stenson, Inc.

The payback period for each project is:

Project A = 3 years

Project B = 4 years

Explanation:

a) Data and Calculations:

Year            Cash Flow A        Cash Flow B

0                  –$ 64,000           –$ 109,000

1                        26,500                  28,500

2                       34,400                   33,500

3                       28,500                  25,500

4                        14,500                 231,000

Total inflow  $103,900               $318,500

b) The payback period is the time when the cash outflow is recouped.  For project A, the payback period occurs in year 3.  For project B, the payback period occurs in year 4.  Based on the company's cutoff of three years, Project B may not be accepted even with its large cash inflow in year 4.  Therefore, the best decision will be to discount the cash inflows with a suitable rate of interest.  This will help Stenson, Inc. to decide between accepting Project A or Project B.

The charter of a corporation provides for the issuance of 100,000 shares of common stock. Assume that 60,000 shares were originally issued and 10,000 were subsequently reacquired. What is the amount of cash dividends to be paid if a $2-per-share dividend is declared?a) $60,000.b) $5,000.c) $100,000.d) $55,000.

Answers

Answer:

c) $100,000

Explanation:

Number of shares originally issued   60,000

Less: Number of shares reacquired  (10,000)

Outstanding number of shares          50,000

Dividends per share declared            $2        

Total dividends declares                   $100,000 (50,000 shares * $2)

please help its due in 2 hours time will give all my points

"Explain how the development of money over time has helped to improve the way in which monetary transactions are conducted" 6 MARK QUESTION

Answers

Explanation:

First money ever made was just coins and it differed in worth compared to today. In the present, money is not only a physical object but it also an imaginary value on our bank accounts and cards. Having in mind that monetary transactions are all-in-all deposits, withdrawals and exchanges, its way easier to conduct those with not having to give and recieve money in physical form, but being, able to do it all while just transfering the numbers from one to another account. Bankers have less responsibility due to not having to stock all the money in safes and secure boxes, but just checking if all the numbers are adding up. So, shall we say, the development of money over time has improved the way in which monetary transactions are conducted because this way, it's safer, faster and much more trustworthy.


(2-3 statements answer only) I'll give brainliesr.

•What market/s do we consider when it comes to raw materials?​

Answers

Answer:

factor market

Explanation

Lemme know if I'm wrong :/

Assume the company is considering investing in a new machine that will increase its fixed costs by $42,500 per year and decrease its variable costs by $10 per unit. Prepare a forecasted contribution margin income statement for 2020 assuming the company purchases this machine.

Answers

Answer:

The company should purchase the machine.

Explanation:

Note: The complete question is attached below

Forecasted contribution margin income statement

For the Year Ended December 31

Particulars                                       Amount$

Sales                                                2,440,000

Variable cost(10,000*185(195-10))  1,850,000

Contribution margin                        590,000

Fixed cost (327,600+42,500)         370,100

Income                                              $219,900

Because the income increase by $57,500 due to the pruchase, the company should purchase the machine

Dartmouth Assessment Centre screens and trains employees for a computer assembly firm in Halifax. The progress of all trainees is tracked and those not showing the proper progress are moved to less demanding programs. By the tenth repetition, trainees must be able to complete the assembly task in 1 hour or less. Torri Olson-Alves has just spent 5 hours on the fourth unit and 4 hours completing her eighth unit, while another trainee, Julie Burgmeier, took 4 hours on the third and 3 hours on the sixth unit. Should you encourage either or both of the trainees to continue? Why?

Answers

Answer:

Discourage Torri from continuing. Encourage Julie to continue.

Explanation:

The progress of all trainees is tracked. Those not showing good progress are moved to less demanding programs. This means that there is hope of still doing/getting a job, if they don't pass this test.

REQUIREMENT: By the 10th time doing the test, trainees must be able to complete the task in a maximum of 1 hour.

1st Trainee: Torri Olson-Alves

5 hours on Unit 4;   4 hours on Unit 8

Should Torri be encouraged to continue? NO.

There are 10 units or repetitions in all. If Torri spends 5 hours on Unit 4 and spends 4 hours on Unit 8, then Torri is slow or isn't making much progress. After 4 repetitions, her marginal product only increased by an hour. She most likely won't make it to 1 hour by the 10th repetition.

2nd Trainee: Julie Burgmeier

4 hours on Unit 3;   3 hours on Unit 6

Should Julie be encouraged to continue? YES.

Julie makes a progress of 1 hour after 3 repetitions. We can predict that after another 3 repetitions (on Unit 9) progress would be made again and by Unit 10, she would have met the required benchmark.

Fiat money:________.a) has no intrinsic value. b) is backed by gold. c) is a medium of exchange but not a unit of account. d) is any close substitute for curren

Answers

Answer: a) has no intrinsic value

Explanation:

Fiat currency is money that is used in a country and is regulated by the central bank of that country. Fiat money has no commodity backing it such as gold or silver and has no intrinsic value of its own.

It is instead backed by the full faith and credit of the government of the country that produces it. For instance, the US dollar is backed by the full faith and credit of the US government.

Colleges often rely heavily on raising money for an "annual fund" to support operations. Alumni are typically solicited for donations to the annual fund. Studies suggest that the graduate’s annual income is a good predictor of the amount of money he or she would be willing to donate, and there is a reasonably strong, positive, linear relationship between these variables. In the studies described:

Answers

Answer: size of alum's donation to the annual fund is the response variable

Explanation:

Considering the annual income is a good predictor of the amount of money he or she would be willing to donate, and there is a reasonably strong, then the study indicated that the size of alum's donation to the annual fund is the response variable

Knowledge Check 01 An unfavorable variance of $5,000 in cost of goods sold is determined by comparing the actual results (10,000 units) and the flexible budget (10,000 units). What type of variance is described?a. Activity variance b. Spending variance c. Revenue variance

Answers

Answer:

The correct option is b. Spending variance.

Explanation:

Spending variance can be described as the difference between the actual cost and budgeted cost at the actual activity level.

Since cost of goods sold (COGS) is the direct costs incurred to produce the goods that is sold by a firm, it therefore implies that the amount of variance in cost of goods sold can be determined by comparing the actual results and the flexible budget at the actual activity level or actual units.

Based on the explanation above, the correct option is b. Spending variance. That is, Spending variance is an unfavorable variance of $5,000 in cost of goods sold is determined by comparing the actual results (10,000 units) and the flexible budget (10,000 units).

YCD, Inc., has sales of $5,783, total assets of $2,604, and a debt-equity ratio of 0.75. If its return on equity is 11 percent, what is its net income?

Answers

Answer:Net income=$164

Explanation:

Equity multiplier = 1 + Debt-equity ratio

Equity multiplier = 1 + 0.75

Equity multiplier = 1.75

And the total asset turnover is:

Total asset turnover = Sales / Total assets

Total asset turnover = $5,783 / $2,604

Total asset turnover = 2.22 times

ROE = (Profit margin)(Total asset turnover)(Equity multiplier)

0.11 = (Profit margin)(2.22)(1.75)

Profit margin =  0.14/3.885 =0.0283

Rearranging we can find the net income as

Profit margin = Net income / Sales

Net income = profit margin x Sales

Net income =0.0283 x $5,783,=  $163.6589 = $164

The S&P 500 stock index is at 1300. The annualized interest rate is 4.0 percent, and the annualized dividend is 2 percent. You are currently considering purchasing a two-month futures contract for your portfolio Refer to Exhibit 15.12. Calculate the current price of the futures contract.

Answers

Answer: $1,304.30

Explanation:

Current price can be calculated by the formula:

= 1,300 * ( 1 + (4% - 2%)) ^ 2/12 months

= 1,300 * 1.0033058903246372019414946658385

= $1,304.29

= $1,304.30

Four years ago your firm issued a $1,000 par bond with a 4% semi-annual coupon and 20 years to maturity. The bond is now priced at $860. What is the current yield to maturity of the bond?

Answers

Answer:

the current yield to maturity of the bond is 5.31%

Explanation:

The computation of the yield to maturity is shown below:

Given that

Future value = $1,000

Present value = $860

NPER = (20 - 4) × 2 = 16

PMT = $1,000 × 4% ÷ 2 = $20

The formula is shown below:

= RATE(NPER;PMT;-PV;FV;TYPE)

The present values comes in negative

After applying the above formula, the yield to maturity is

= 2.6548% × 2

= 5.31%

Hence, the current yield to maturity of the bond is 5.31%

As a vice president of a financial services company, you serve many clients, and they sometimes ask your company to contribute to their favorite charities. You recently received a letter from Elliana Larios asking for a substantial contribution to the National Court Appointed Special Advocate (CASA) Association. On visits to your office, she has told you about its programs to recruit, train, and support volunteers in their work with abused children. She herself is active in your town as a CASA volunteer, helping neglected children find safe, permanent homes. She told you that children with CASA volunteers are more likely to be adopted and are less likely to reenter the child welfare system.
You have a soft spot in your heart for children and especially for those who are mistreated. You sincerely want to support CASA and its good work. But times are tough, and you can't be as generous as you have been in the past. Ms. Larios wrote a special letter to you asking you to become a Key contributor, with a pledge of $2,000
Your Task Write a refusal letter that maintains good relations with your client. Address it to Ms. Elliana Larios, 8569 East 39th Street, Phoenix, AZ 85730.

Answers

As a vice president of a financial services company, you serve many clients, and they sometimes ask your company to contribute to their favorite charities. You recently received a letter from Elliana Larios asking for a substantial contribution to the National Court Appointed Special Advocate (CASA) Association. On visits to your office, she has told you about its programs to recruit, train, and support volunteers in their work with abused children. She herself is active in your town as a CASA volunteer, helping neglected children find safe, permanent homes. She told you that children with CASA volunteers are more likely to be adopted and are less likely to reenter the child welfare system.

You have a soft spot in your heart for children and especially for those who are mistreated. You sincerely want to support CASA and its good work. But times are tough, and you can't be as generous as you have been in the past. Ms. Larios wrote a special letter to you asking you to become a Key contributor, with a pledge of $2,000

Your Task Write a refusal letter that maintains good relations with your client. Address it to Ms. Elliana Larios, 8569 East 39th Street, Phoenix, AZ 85730.

Suppose you have the following three zero-coupon bond (ZCB) available: a 1-year ZCB that costs $97, a 2-year ZCB that costs $95, and a 3-year ZCB that costs $92. Assume that the par values are $100.

a. What must the price of a 3-year coupon bond with at 8% coupon rate?
b. How would you make an arbitrage profit if the coupon bond was trading at $100?
c. How much arbitrage profit would you make per $100 of the 3-year coupon bond trade?

Answers

Answer:

Bond price = Par value / (1 + 1 year spot rate)1

$97 = $100 / (1 + 1 year spot rate)^1

(1 + 1 year spot rate)^1 = $100 / $97

(1 + 1 year spot rate) = 1.030928

1 year spot rate = 3.0928%

Bond price = Par value / (1 + 2 year spot rate)^2

$95 = $100 / (1 + 2 year spot rate)^2

(1 + 2 year spot rate)^2 = $100 / $95

(1 + 2 year spot rate)^2 = 1.052632

(1 + 2 year spot rate) = (1.052632)(1 / 2)

(1 + 2 year spot rate) = 1.025978

2 year spot rate = 2.5978%

Bond price = Par value / (1 + 3 year spot rate)^3

$92 = $100 / (1 + 3 year spot rate)^3

(1 + 3 year spot rate)^3 = $100 / $92

(1 + 3 year spot rate)^3 = 1.086957

(1 + 3 year spot rate) = (1.086957)(1 / 3)

(1 + 3 year spot rate) = 1.028184

3 year spot rate = 2.8184%

Coupon per period = (Coupon rate / No of coupon payments per year) * Par value

Coupon per period = (8% / 1) * $100

Coupon per period = $8

a) Bond price = Coupon / (1 + 1 year spot rate)^1 + Coupon / (1 + 2 year spot rate)^2 + (Coupon + Par value) / (1 + 3 year spot rate)^3

Bond price = $8 / (1 + 3.0928%)^1 + $8 / (1 + 2.5978%)^2 + ($8 + $100) / (1 + 2.8184%)^3

Bond price based on spot rates = $114.7199

b. Bond price based on spot rates is greater than traded bond price to exploit this arbitrage the following strategy must be implemented

The 3 year 8% coupon bond should be bought at $100.

Portfolio = -$100

1 year zero coupon bond with face value $8 must be sold

Portfolio = (Price of 1 year zero coupon bond / Face value) * Amount of Face value to be Sold

Portfolio = ($97 / $100) * $8

Portfolio = $7.76

2 year zero coupon bond with face value $8 must be sold

Portfolio = Price of 2 year zero coupon bond / Face value) * Amount of Face value to be Sold

Portfolio = ($95 / $100) * $8

Portfolio = $7.6

3 year zero coupon bond with face value $108 must be sold

Portfolio = Price of 3 year zero coupon bond / Face value) * Amount of Face value to be Sold

Portfolio = ($92 / $100) * $108

Portfolio = $99.36

Arbitrage profit = -$100 +  $7.76 + $7.6 + $99.36

Arbitrage profit = $14.72

c) Arbitrage profit = Bond price based on spot rates - Traded Bond price

Arbitrage profit = $114.72 - $100

Arbitrage profit = $14.72

Arbitrage profit would you make per $100 = $14.72

What is the equity beta for a firm with asset beta equal to 0.9, and D/E ratio of 0.4, and tax rate equal to 35%?

Answers

Answer:

the equity beta of the firm is 1.134

Explanation:

The computation of the equity beta is shown below:

Equity beta is

= Asset beta × [1 + (1 - tax rate) × Debt-equity ratio]

= 0.9 × [1 + (1 - 0.35) × 0.4]

= 0 9 × 1.26

= 1.134

Hence, the equity beta of the firm is 1.134

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

And, the same is to be considered

Select the correct answer.
Restaurant supply companies handle deliveries of foods and goods to restaurants.
ОА.
True
OB.
False

Answers

Answer:

True

Explanation:

I took the test and this is the right answer. :-)

You want to invest $50,000 in a portfolio with a beta of no more than 1.4 and an expected return of 12.4%. Bay Corp. has a beta of 1.2 and an expected return of 11.2%, and City Inc. has a beta of 1.8 and an expected return of 14.8%. The risk-free rate is 4%. You can invest in Bay Corp. and City Inc. How much will you invest in each?

Answers

Answer:

Assume the weight to be invested in Bay Corp is x. That means (1 - x) will be the weight for City Inc. The expression for the expected return will be;

(x * 11.2%) + ( (1 - x) * 14.8%) = 12.4%

0.112x + 0.148 - 0.148x = 0.124

-0.036x = -0.024

x = 0.67

Portfolio beta is;

= 0.67 * 1.2 + ( 1 - 0.67) * 1.8

= 1.398 so beta condition is satisfied.

Amount in Bay Corp.;

= 0.67 * 50,000

= $33,500

Amount in City Inc.;

= 50,000 - 33,500

= $16,500

The amounts that will be invested in Bay Corp. and City Inc. will be $33500 and $16500.

Let the weight invested in Bay Corp be x.Therefore the weight invested in City Inc. will be 1 - x.

Therefore, the equation to solve the question will be:

( x × 11.2%) + [(1 - x) × 14.8%)] = 12.4%

Open the brackets

0.112x + 0.148 - 0.148x = 0.124

Collect like terms

-0.036x = -0.024

x = -0.024 / 0.036

x = 0.67

The portfolio beta will be:

= 0.67 * 1.2 + ( 1 - 0.67) × 1.8

= 1.398 .

Therefore, the amount invested in Bay Corp will be:

= 0.67 × $50,000

= $33,500

Therefore, the amount in City Inc. will be:

= $50,000 - $33,500

= $16,500

Read related link on:

https://brainly.com/question/18353908

Hindelang Inc. is considering a project that has the following cash flow and WACC data. What is the project's MIRR?


WACC: 12.25%

Cash flows -

Year 0: - $850
Year 1: $300
Year 2: $320
Year 3: $340
Year 4: $360

Answers

Answer:

MIRR = 17%

Explanation:

The computation of the MIRR of a project is shown below:

Year Cash flows ( in $)

0       -850

1        300

2       320

3       340

4       360

 

WACC 12.25%

MIRR 17%

We simply applied the MIRR over the excel

We simply applied the attached formula so that the correct percentage could come

And, the same is to be considered

A US Multi National Corporation has a contract for a relatively predictable long-term inflow of Japanese yen. The firm decides to hedge the yen exposure by finding a supplier in Japan and paying for these imports in yen. This hedging strategy is known as ________.

Answers

Answer: a natural hedge

Explanation:

Natural hedge is simply a strategy that is used by a company in order to reduce risk and this is done through the investment in the assets that their performance is not positively correlated.

Such companies typically makes revenue in the currency of another country. Since the firm decides to hedge the yen exposure by finding a supplier in Japan and paying for these imports in yen, this hedging strategy is known as natural hedge.

Investing activities do not include the:

a.Purchase of plant assets.

b.Loaning of money in exchange for notes receivable.

c.Issuance of common stock.

d.Sale of plant assets.

e.Sale of short-term investments other than cash equivalents.

Answers

Answer:

c.Issuance of common stock.

Explanation:

Investing activities lead to an increase in business cash flows.  Investing involves spending money with the expectation of making higher returns.

Some investing activities include

1. Purchase or acquisition of assets to be used in the production process.

2. Sale of business assets

3. Acquisition or sale of other business

Issuing of common stocks is not considered an investment option. Common shares are issued when companies need to raise additional capital.  Issuance of common shares is a financing activity.

Charging off the cost of a wastebasket with an estimated useful life of 10 years as an expense of the period when purchased is an example of the application of the

Answers

Answer:

E. materiality concept

Explanation:

The materiality concept refers to a concept in which it impacts the decisions of the user if there is any small impact. In other words, any small impact could change the user decisions with respect to the financial statement i.e. relevant and useful

Therefore according to the given situation, the Option E is correct

And all the other options are incorrect

1. How much would you pay for a share of stock paying a dividend​(cash payout ​C) of ​$4 to be paid in one​ year, a known selling price in one year ​(​P) of ​$50​, and expected return ​(R) of similar assets of 2​%?2. Compute the price of a share of stock that pays a​$1.50 per year dividend and that you expect to be able to sell in one year for ​$20, assuming you require a 10​% return.

Answers

Answer and Explanation:

The computation is shown below:

a. The willing to pay is

= (Current year price) ÷ (1 + rate) + (current year dividend) ÷ (1 + rate)\

= ($50) ÷ (1 + 0.02) + ($4) ÷ (1 + 0.02)

= $52.94

b. The price of a share is

= (Current year price) ÷ (1 + rate) + (current year dividend) ÷ (1 + rate)\

= ($20) ÷ (1 + 0.10) + ($1.50) ÷ (1 + 0.10)

= $19.55

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

And, the same is to be considered

Tinker's cost of goods sold in the year of sale (2019) was $750,000 and 2018 cost of goods sold was $770,000. The inventory at the end of 2019 was $188,000 and at the end of 2018 the inventory was $208,000. Tinker's average number of days to sell its inventory during 2019 is closest to: (Use 365 days a year.)

Answers

Answer:

96.3 days

Explanation:

Inventory turnover is calculated as;

= ( Average inventory / cost of goods sold ) × 365

Where,

Average inventory = (Beginning inventory + Ending inventory) / 2

Average inventory = ($208,000 + $188,000) / 2

Average inventory = $198,000

Therefore,

Inventory turnover = ($198,000 / $750,000) × 365

Inventory turnover = 96.3 days

The average number of days for Tinker to sell it's inventory during 2019 is closest to 96.3 days

Other Questions
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