A state savings bond can be converted to $100 at maturity six years from purchase. If the state bonds pay 8% annual interest (compounded annually), at what price must the state sell its bonds

Answers

Answer 1

Answer:

The state must sell its bonds at the price of $63.02.

Explanation:

The at which the state must sell its bond can be calculated using the present value (PV) as follows:

PV = FV / (1 + r)^n ......................... (1)

Where;

PV = Present value or the price at which the state must sell its bond = ?

FV = Future value of the bond or the value the state savings bond can be converted to at maturity = $100

r = Annual interest rate = 8%, or 0.08

n = number of years = 6

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

PV = $100 / (1 + 0.08)^6

PV = $100 / (1.08)^6

PV = $100 / 1.586874322944

PV = $63.02

Therefore, the state must sell its bonds at the price of $63.02.


Related Questions

Nancy Company has an idle machine that originally cost $200,000. The book value of the machine is $100,000. The company is considering three alternative uses of the idle machine: Alternative 1: Disposal of machine. Disposal value of machine is $50,000. Alternative 2: Use the idle machine to increase production of Product A. Contribution margin from additional sales of Product A is estimated to be $60,000. Alternative 3: Use the idle machine to increase production of Product B. Contribution margin from additional sales of Product B is estimated to be $70,000. When considering Alternative 2, what is the opportunity cost of the idle machine

Answers

Answer:

$10,000

Explanation:

The opportunity cost of the idle machine when considering Alternative 2 can be calculated by deducting the benefit from alternative 2 from the benefits of alternative 3

DATA

Benefits from alternative 1 = $50,000

Benefit from alternative 2 = $60,000

Benefit from alternative 3 = $70,000

Net financial benefit from Alternative 3 = Benefit from alternative 3 - opportunity cost

Net financial benefit from Alternative 3  = $70000-60000

Net financial benefit from Alternative 3 = $10000

During a recent week, Maya Schneiderman worked 42 regular hours. She earns $9.25/hour, is paid an overtime rate of 1.5 times her regular wage rate, and has requested that 3% of her gross pay be withheld and contributed to a 401(k) retirement plan. Maya's taxable pay for federal income tax withholding is

Answers

Answer:

$385.82

Explanation:

Maya's total earnings = (40 x $9.25) + (2 x $9.25 x 1.5) = $397.75

Contributions to her 401k retirement plan reduce her taxable income (they are above the line deductions. She will contribute $397.75 x 3% = $11.93.

Her taxable income for federal income tax withholding = $397.75 - $11.93 = $385.82.

The actual amount withheld will depend on Maya's W-4 form (includes information about filing status, dependents, other income, etc.)

Karla owns a monopolistically competitive firm that has many competitors that advertise. What can Karla realistically hope to achieve if she decides to advertise as well?

Answers

Answer:

1.) Katy can educate her consumers about the differences between her store and her competitors.

2.) Katy can protect her consumer base.

Explanation:

Using advertisements, Katy can show her consumer the differences and advantages that her products have over those of her competitors thereby encouraging them to patronise her.

She can also use these adverts to protect her customer base from her competitors because when they see the adverts, they will be even more encouraged to keep buying from Katy and will thus be less likely to switch to her competitors.

The other two options are incorrect.

The journal entry to record the transfer of units to the next department in process accounting is a(n):

Answers

Answer:

Decrease in one asset and an increase in another asset

Explanation:

The journal entry to record the transfer of units to the next department in process accounting is a(n):

i. Decrease in one asset

ii. Increase in another asset

Explain the risks associated with leveling resources, compressing or crashing projects, and imposed durations or "catch-up" as the project is being implemented. Why is it critical to develop a time-phased baseline? Subscribe to unlock

Answers

Answer:

Explain the risks associated with leveling resources, compressing or crashing projects, and imposed durations or "catch-up" as the project is being implemented.

a project manager will try to level resources in order to even out the use of resources throughout the whole project, but that can result in a deficit of resources during critical times.  E.g. trying to use 25% of resources during each year for a project that lasts 4 years. But some activities require a lot o resources but last a short time, while other activities might last longer and consume fewer resources. a project manager will try to compress a project's schedule because he/she wants to finish early, ideally without affecting the project's scope. The problem with compressing a project is that you might have to skip or eliminate certain activities in order to so so. E.g. a lot of pharmaceutical companies are trying to develop a vaccine that ends the current health crisis, and their rush are not following the appropriate steps. crashing activities refers to trying to finish some critical activity early by assigning more resources to it. The risks of crashing critical activities is that they might not be well done, or it might be too expensive.

Why is it critical to develop a time-phased baseline?

Without a well done time-phased baseline, it is very difficult to prepare a project schedule, or at least one that actually works. It is also important because it is very useful for cost control, and projects can easily go out of control and cost more than their budget.

The Jackson-Timberlake Wardrobe Co. just paid a dividend of $1.55 per share on its stock. The dividends are expected to grow at a constant rate of 6 percent per year indefinitely. Investors require a return of 14 percent on the company's stock. a. What is the current stock price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. What will the stock price be in 3 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. What will the stock price be in 7 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Answers

Answer:

(A) 20.54

(B) 24.46

(C) 30.88

Explanation:

(A) The current stock price can be calculated as follows

Po= 1.55(1+6/100)/(14/100-6/100)

= 1.55(1+0.06)/(0.14-0.06)

= 1.55(1.06)/0.08

=1.643/0.08

= 20.54

(B) The stock price after 3 years can be calculated as follows

Po = 1.55(1+6/100)^4/(14/100-6/100)

= 1.55(1+0.06)^4/(0.14-0.06)

= 1.55(1.06)^4/0.08

= 1.55(1.2624)/0.08

= 1.9567/0.08

= 24.46

(C) The stock price after 7 years can be calculated as follows

Po= 1.55(1+6/100)^8/(14/100-6/100)

= 1.55(1+0.06)^8/(0.14-0.06)

= 1.55(1.06)^8/(0.08)

= 1.55(1.5938)/0.08

= 2.470/0.08

= 30.88

Skipper Company manufactures toy boats and uses an activitybased costing system. The following information is provided for the month of​ May: Activity Estimated Indirect Activity Costs Allocation Base Estimated Quantity of Allocation Base Materials handling Number of parts parts Assembling Number of parts parts Packaging Number of boats boats Each boat consists of four​ parts, and the direct materials cost per boat is . There is no direct labor. What is the total manufacturing cost per​ boat? (Round any intermediate calculations and your final answer to the nearest​ cent.)

Answers

Answer:

$ 22.97

Explanation:

Calculation for the total manufacturing cost per boat

First step is to Calculate the Activity rates

Activity Cost Pool Activity driver Overhead Cost (A) Expected Activity (B) Activity rate (A/B)

Materials handling Number of Part

$ 3,300÷ 3000 =$ 1.10 Per Part

Assembling Number of Part

$ 4,800÷3000 =$ 1.60 Per Part

Packaging Number of Boat

$ 6,000÷ 1300 =$ 4.62 Per Boat

Second step is to Calculate the Cost assigned to Boat

Activity name Activity Rates Activity ABC Cost

(A) (B) (A x B)

Materials handling

$ 1.10 × 4.00=$ 4.40

Assembling

$ 1.60 × 4.00 =$ 6.40

Packaging

$ 4.62 × 1.00 = $ 4.62

Total Overheads assigned per boat $ 15.42

($4.40+$6.40+$4.62)

Last step is to Calculate for the total manufacturing cost per boat

Boat

Direct material $ 7.55

Direct labor $0

Overheads $15.42

Total Cost per unit $ 22.97

($7.55+$15.42)

Therefore the total manufacturing cost per boat is $ 22.97

Consider a mutual fund with $240 million in assets at the start of the year and 10 million shares outstanding. The fund invests in a portfolio of stocks that provides dividend income at the end of the year of $2.5 million. The stocks included in the fund's portfolio increase in price by 5%, but no securities are sold and there are no capital gains distributions. The fund charges 12b-1 fees of .75%, which are deducted from portfolio assets at year-end. a. What is the fund's net asset value at the start and end of the year

Answers

Answer:

Net asset value at the start of the year = $240,000,000 / 10,000,000 shares

Net asset value at the start of the year = $24

Asset in the beginning                                            $240,000,000

Increase in value $240,000,000*5%                     $12,000,000  

Assets at the end                                                    $352,000,000

Less: 12b-1 Charges $352,000,000 * 0.75%)         $2,640,000    

Asset at the end                                                       $349,360,000

Net asset value at the end of the year = $349,360,000/10,000,000 shares

Net asset value at the end of the year = $34.936

Which of the following statements is true? Group of answer choices If current Real GDP is greater than Natural Real GDP, the economy is in a recessionary gap. If current Real GDP is less than Natural Real GDP, the economy is in long-run equilibrium. Wages are flexible if the economy is self-regulating. Wages rise but prices remain constant in long-run equilibrium. All economists believe the economy is self-regulating.

Answers

Answer: Wages are flexible if the economy is self-regulating.

Explanation:

Classical economists believe that the economy is self-regulating. This means that if the economy is not at equilibrium, it will return to equilibrium if it is left without interference.

For this to happen, inputs such as wages have to flexible to enable them to adjust to market conditions and thus take the Economy back to equilibrium.

For instance, if there is a recession, wages will reduce so that the prices that the producers can charge will reduce as well which will enable supply to match demand and bring the economy back to equilibrium.

Coca Cola stock has the following probability distribution of expected prices one year from now: State Probability Price 1 25 % $ 50 2 40 % $ 60 3 35 % $ 70 If you buy Coca Cola today for $55 and it will pay a dividend during the year of $4 per share, what is your expected holding-period return on Coca Cola

Answers

Answer:

18.18%

Explanation:

Calculation for the expected holding-period return on Coca Cola

First step is to calculate the Expected Price in one year

Expected Price in one year = 50*25% + 60*40% + 70*35%

Expected Price in one year =12.5+24+24.5

Expected Price in one year = $61

Last step is to get Calculate the Holding period return using this formula

Holding period return = (Price after 1 year + Dividend - Price amount paid)/Price amount paid

Let plug in the formula

Holding period return= (61+4-55)/55

Holding period return=10/55

Holding period return=0.1818*100

Holding period return= 18.18%

Therefore the expected holding-period return on Coca Cola will be 18.18%

Assume that if Ivanhoe Water accepts Clifton’s offer, the company can use the freed-up manufacturing facilities to manufacture a new line of growing lights. The company estimates it can sell 80,410 of the new lights each year at a price of $13. Variable costs of the lights are expected to be $10 per unit. The timer unit supervisory and clerical staff would be transferred to this new product line. Calculate the total relevant cost to make the timer units and the net cost if they accept Clifton's offer.

Answers

Question Completion:

Question 2 Ivanhoe Water Co. is a leading producer of greenhouse irrigation systems. Currently, the company manufactures the timer unit used in each of its systems. Based on an annual production of 40,330 timers, the company has calculated the following unit costs Direct fixed costs include supervisory and clerical salaries and equipment depreciation. Direct materials Direct labor Variable manufacturing overhead Direct fixed manufacturing overhead Allocated fixed manufacturing overhead $12 10 (30% salaries, 70% depreciation) 10 Total unit cost $42 Clifton Clocks has offered to provide the timer units to Sandhill at a price of $34 per unit. If Sandhill accepts the offer, the current timer unit supervisory and clerical staff will be laid off (a1) Your answer is correct. Calculate the total relevant cost to make or buy the timer units. (Round answers to O decimal places, eg, S250.) Make Buy 100825 1371220

Answer:

Ivanhoe Water

1. Total relevant cost to make the timer units:

If Ivanhoe does not accept the Clifton's offer, its total cost = $35 * 40,330 = $1,411,5500

If it accepts Clifton's offer, the total cost = $34 * 40,330 = $1,371,220

2. Net cost = $40,330

Explanation:

a) Data and Calculations:

Cost of producing 40,330 timers

Direct materials                                         $12

Direct labor                                                   7

Variable manufacturing overhead              3

Direct fixed manufacturing overhead       10

Allocated fixed manufacturing overhead 10 (30% salaries, 70% depreciation)

Total unit cost                                         $42

Clifton's offer = $34 per unit

Total relevant cost to make the timer units:

If Ivanhoe does not accept the Clifton's offer, its total cost = $35 * 40,330 = $1,411,5500

If it accepts Clifton's offer, the total cost = $34 * 40,330 = $1,371,220

Net cost = $40,330

Out of the total cost of $42, $7 for the depreciation is not considered relevant.  This leaves the relevant cost at $35 per unit.  Any cost that cannot be eliminated by a decision is not relevant, it is a sunk cost.  The salaries of the supervisory and clerical staff can be eliminated, so it is relevant here.

What are the changing roles of public, private, and nonprofit agencies in addressing public problems? What difficulties might a public manager face in trying to implement management techniques borrowed from the private sector?

Answers

Answer:

In the clarification segment elsewhere here, the definition of the query is mentioned.

Explanation:

Indeed, whenever it comes to solving civic issues, the functions of civic, corporate, and nonprofit organizations are shifting. Whenever it comes to solving civic concerns, civic companies have historically been at the forefront. These companies have advocated state incentives, often at the expense of profitability, with respect to the household spending of specialized services and products. By encouraging fair use, public corporations are considered to defend the public.

The position of public entities is now evolving if they're no necessarily safeguarding the public's needs at the expense of profitability, but by generating gains which are already required of them as a company, they attempt to resolve public issues.  Via their CSR programs, private companies have become more interested in addressing public issues. The aim of private corporations was to raise income and build wealth for their owners, but now because they are willing to make a change in the community of individuals.  In solving societal issues, non-profit organizations have always been at the forefront. The main difference is that more non-profit organizations are becoming larger and on a size equal to the one of certain private and government entities.

The following problems could be encountered by a public manager attempting to incorporate organizational strategies imported from either the private sector:  

When applying management strategies, a high degree of public sector bureaucracy can continue to be a challenge as well as a roadblock.  The adoption of institutional reforms would make it extremely difficult for the public sector to adopt management strategies along with its tradition.

Roger owns some farmland that he rents to a tenant. The tenant lives in an old farmhouse on the property and raises crops on the land. Roger is concerned about legal liability if the tenant injures someone. Roger requires the tenant to have liability insurance and to add himself to the liability coverage through an endorsement. Under the tenant's liability insurance, Roger is a(n)

Answers

Answer:

additional insured

Explanation:

An additional insured endorsement refers to an amendment clause made to an exiting policy which adds someone else, and therefore, extends the coverage of the policy to include this recently added party.

In this case, Roger was included or added to his tenant's liability insurance policy, therefore, he will be covered by it.

Curtis invests $450,000 in a city of Athens bond that pays 6.50 percent interest. Alternatively, Curtis could have invested the $450,000 in a bond recently issued by Initech, Incorporated that pays 7.75 percent interest with similar risk as the city of Athens bond. Assume that Curtis's marginal tax rate is 24 percent. How much explicit tax would Curtis incur on interest earned on the Initech, Incorporated bond

Answers

Answer:

$8,370

Explanation:

Calculation for How much explicit tax would Curtis incur on interest earned on the Initech, Incorporated bond

Using this formula

Explicit tax = (Amount Invested× Interest percentage)×Marginal tax rate

Let plug in the formula

Explicit tax =($450,000×7.75%)×24%

Explicit tax =$34,875×24%

Explicit tax =$8,370

Therefore the amount of explicit tax that Curtis would incur on interest earned on the Initech, Incorporated bond will be $8,370

Which type of educational worker will most likely help students find books outside the classroom to help them write research papers? administrator librarian designer principal

Answers

Answer:

Librarian

Explanation: Enjoy (っ^▿^)۶٩(˘◡˘ )

The  type of educational worker  that will most likely help students find books outside the classroom to help them write research papers is  librarian.

Who is a librarian?

A librarian can be defined as the person that works in the library whose soles reponsibility is to find, sort and arrange bookes.

A  librarian is the right position to help a student find books because that is the duty or work of a librarian.

Therefore the type of educational worker  that will most likely help students find books is  librarian.

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Lightfoot Company sells its product for $55 per unit and has variable costs of $30 per unit. Total fixed costs are $25,000. Suppose variable costs increase by 10% due to an increase in the cost of direct materials. What will be the effect on the breakeven point in units if variable costs increase by​ $5 due to an increase in the cost of direct​materials?
A. It will increase by 250 units.
B. It will decrease by 167 units.
C. It will decrease by 250 units.
D. It will increase by 167 units.

Answers

Answer:

The Break-even point in units will increase by 250 units.

Explanation:

Giving the following information:

Fixed costs= $25,000

Selling price= $55

Unitary varaible cost= $30

First, we need to calculate the current break-even point in units:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 25,000 / 25

Break-even point in units= 1,000

Now, the new Break-even point in units:

Break-even point in units= 25,000 / (55 - 35)

Break-even point in units= 1,250

The Break-even point in units will increase by 250 units.

Simpleton, Inc. budgeted a material cost of $10 per lb. They ended up purchasing 2,300 lbs at $16 per lb. and using 1,800 lbs for production. The material price variance is:

Answers

Answer:

Direct material price variance= $13,800 unfavorable

Explanation:

Giving the following information:

Simpleton, Inc. budgeted a material cost of $10 per lb.

Actual:

2,300 lbs at $16 per lb.

To calculate the direct material price variance, we need to use the following formula:

Direct material price variance= (standard price - actual price)*actual quantity

Direct material price variance= (10 - 16)*2,300

Direct material price variance= $13,800 unfavorable

5. The average total cost to produce 100 cookies is $0.25 per cookie. The marginal cost is constant at $0.10 for all cookies produced. What is the total cost to produce 50 cookies

Answers

Answer:

$20

Explanation:

First, we need to find the total cost of producing 100 cookies.

From the above question, the total cost to produce 100 cookies is given by the average total cost of $0.25 multiplied by 100 units

TC = $0.25 × 100 = $25.

Therefore, the total cost to produce 50 cookies, is equal to the cost of producing 100 units minus the marginal cost ($0.10 per unit) of the additional 50 units.

TC = $25 - ($0.1 × 50) = $20

Simpkins Corporation does not pay any dividends because it is expanding rapidly and needs to retain all of its earnings. However, investors expect Simpkins to begin paying dividends, with the first dividend of $2.00 coming 3 years from today. The dividend should grow rapidly - at a rate of 80% per year - during Years 4 and 5. After Year 5, the company should grow at a constant rate of 5% per year. If the required return on the stock is 13%, what is the value of the stock today (assume the market is in equilibrium with the required return equal to the expected return)

Answers

Answer:

The answer is "$ 52.17"

Explanation:

Third-year dividend,  [tex]D_3 = \$ \ 2.00[/tex] Increasing at  [tex]80 \ \%[/tex] per year in years 4 and 5.

[tex]\to D_4 = 2.00(1.80)=3.6\\\\\to D_5 = 3.6 (1.80) = 4.48\\\\[/tex]

Now, rising at a steady rate of 5 percent per year in year 6

[tex]\to D_6 = 6.48(1.05) =6.804[/tex]

[tex]\text{Price of the stock} = \frac{Expected \ dividend}{(Required \ return - growth \ rate)}[/tex]

                            [tex]=\frac{6.804}{(0.13 - 0.05)}\\\\ =\frac{6.804}{(0.08)}\\\\ = \$ \ 85.05[/tex]

The present value of all flows of cash:

[tex]= \frac{2.00}{(1.13)^3} + \frac{3.6}{(1.13)^4} + \frac{(4.48+ 85.05)}{(1.13)^5}\\\\ = \frac{2.00}{1.442897} + \frac{3.6}{1.63047361} + \frac{(4.48+ 85.05)}{1.84243518}\\\\ = \frac{2.00}{1.442897} + \frac{3.6}{1.63047361} + \frac{(89.53)}{1.84243518}\\\\= 1.38 +2.20+ 48.59\\\\=52.17[/tex]

deposited pierrs's check for $1000 in the bank what is the general jeneral entry?​

Answers

Answer:

When a cheque received is not deposited on the same day, it is taken in the cash account and when it is deposited in bank, then a contra entry is passed. For example cheque received from Ram on 15th March is deposited on 18th March, following entries will be passed: 15/3 Cash A/c Dr.

Explanation:

Donald is an agent representing Xmart, a large department store chain. Xmart has sent him to deal with Fred in regard to purchasing Fred's land in order to erect a new store. When Donald first meets Fred, Fred calls Xmart to verify that Donald is in fact an agent authorized to deal on Xmart's behalf. Xmart sends Fred a written confirmation of Donald's authorization to act as its agent and states that a contract signed by Donald will be honored by Xmart. Donald and Fred meet every other day during the negotiations. While the negotiations are still ongoing, Donald is fired by Xmart because it doesn't feel that he is making sufficient progress. Why is it important for Xmart to communicate with Fred regarding Donald's firing

Answers

Answer:

If Xmart doesn't notify Fred that Donald is not there agent anymore, then any agreement made between Donald and Fred will be valid and binding to Xmart.

Donald is no longer Xmart's agent, but unless Fred is notified, he still may act as an apparent agent. Apparent agents are people that someone could assume are acting on behalf of a principal, e.g. a person that wears a store's uniform inside a store is presumably a salesperson or someone that works for the store, therefore, he/she is an apparent agent. You do not ask for employment contracts when you enter a store.

If the interest rate this year is 8.8% and the interest rate next year will be 10.8%, what is the future value of $1 after 2 years? What is the present value of a payment of $1 to be received in 2 years?

Answers

Answer:

Results are below.

Explanation:

Giving the following information:

The interest rate this year is 8.8% and the interest rate next year will be 10.8%.

a) To calculate the future value, we need to use the following formula:

FV= PV*(1+i)^n

FV1= 1*1.088= 1.088

FV2= 1.088*1.108=$1.206

b) To calculate the present value, we need to use the following formula:

PV=FV/(1+i)^n

PV2= 1/1.108= 0.903

PV1= 0.903/1.088= $0.83

Show how Cablevision can conduct an ROI analysis. Describe the information that the company should collect and how it should b collected.

Answers

Answer:

Explanation:

Cablevision can easily accomplish this by doing the following. First gather the number of sales of premium services and other products that non-trained individuals are accomplishing in a given time period (example, one month). Next, under the same conditions place the newly trained individuals and gather the same data from them (number of sales/subscribers gained, premium products, and other products). Finally, they would simply need to compare the difference in the number of sales to see if the training paid off. They would also need to calculate if the difference in sales surpasses the costs of training.

Sydney accepts delivery of $39,000 of merchandise it purchases for resale from Troy: invoice dated May 11, terms 3/10, n/90, FOB shipping point. The goods cost Troy $26,130.

Sydney pays $440 cash to Express Shipping for delivery charges on the merchandise.
Sydney returns $1,100 of the $39,000 of goods to Troy, who receives them the same day and restores them to its inventory. The returned goods had cost Troy $737.
Sydney pays Troy for the amount owed. Troy receives the cash immediately.
part 2 Prepare journal entries that Troy Wholesalers (seller) records for these three transactions.
Record the merchandise sold on account.
Record the cost of goods sold.
Record the sales return.
Record the cost of sales return.
Record the cash collected for credit sales.

Answers

Answer:

39,000 Explanation:

FOB shipping point. The goods cost Troy $26,130.

Chelsea Company has sales of $400,000, variable costs of $10 per unit, fixed costs of $100,000, and a target profit of $60,000. How many units were sold?

a. 12,000
b. 18,000
c. 24,000

Answers

Answer:

24,000

Explanation:

Chelsea company had sales of $400,000

Variable cost is $10 per unit

Fixed costs is $100,000

Tarhet profit is $60,000

Thetefore The units sold can be calculated as follows

400,000-10Q-$100,000= $60,000

$400,000-$100,000-10Q= $60,000

$300,000-Q= $60,000

$300,000-$60,000= 10Q

$240,000= 10Q

Q= 240,000/10

Q= 24,000

A company forecasts growth of 6 percent for the next five years and 3 percent thereafter. Given last year's free cash flow was $100, what is its horizon value (PV looking forward from year 4) if the company cost of capital is 8 percent?

a. $0
b. $1,672
c. $2,000
d. $2,676

Answers

Answer:

d. $2,676

Explanation:

The computation of the horizontal value is shown below:

FCF1 = (100 × 1.06) = 106

FCF2  = (106 × 1.06) = 112.36

FCF3 = (112.36 × 1.06) = 119.1016

FCF4  = (119.1016 × 1.06) = 126.247696

FCF5  = (126.247696 × 1.06) = 133.8225578

Now

Horizon value is

= FCF5 ÷ (Cost of capital  - Growth rate)

= 133.8225578 ÷ (0.08  - 0.03)

= $2,676

Hence, the correct option is d.

The horizon value will be "$2,676".

According to the question,

The computation of the horizontal value will be:

→ [tex]FCF_1 = 100\times 1.06[/tex]

             [tex]= 106[/tex]

→ [tex]FCF_2 = 106\times 1.06[/tex]

             [tex]= 112.36[/tex]

→ [tex]FCF_3 = 112.36\times 1.06[/tex]

             [tex]= 119.1016[/tex]

→ [tex]FCF_4 = 119.1016\times 1.06[/tex]

             [tex]= 126.25[/tex]

→ [tex]FCF_5 = 126.25\times 1.06[/tex]

             [tex]= 133.8226[/tex]

hence,

The horizon value will be:

= [tex]\frac{FCF_5}{Cost \ of \ capital - Growth \ rate}[/tex]

By putting the values, we get

= [tex]\frac{133.8226}{0.08-0.03}[/tex]

= [tex]2,676[/tex] ($)

Thus the above approach i.e., "option d" is right.

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You and a partner are considering the purchase of a convenience store.? The store has annual sales of $500,000 and is paying annual payroll of $100,000. The cost of goods sold every year is $150,000. The firm has miscellaneous expenses (taxes, insurance, garbage, electricity, natural gas, security, maintenance, property taxes, training, advertising, accounting fees, bank charges, etc.) of roughly $68,000 per year. If depreciation is equal to $15,000 per year and the tax rate is equal to 38% then what is the net income?

Answers

Answer:

the net income is $103,540

Explanation:

The computation of the net income is shown below:

= (Annual sales - annual payroll - cost of goods sold - miscellaneous expenses - depreciation expense) × (1 - tax rate)

= ($500,000 - $100,000 - $150,000 - $68,000 - $15,000) × (1 - 38%)

= $103,540

Hence,  the net income is $103,540

We simply applied the above formula

1. When will countries trade? Assuming 2 goods, food and clothing, and that both countries’ preferences are homothetic (but not necessarily identical), determine whether two countries will trade in each of the following situations: (a) Countries have identical preferences and identical endowments. (b) Countries have identical preferences, their endowments differ, and their endowments are not in the same ratio of food to clothing. (c) Countries have identical preferences, their endowments differ, but the ratio of food to clothing is the same in both countries. (d) Countries have identical endowments but different preferences. (e) Countries have both different preferences and different endowments.

Answers

Answer:

(a) Countries have identical preferences and identical endowments.

Explanation:

Analyzing the statement, there is information that the preferences of countries are homothetic (but not necessarily identical) with respect to the 2 goods, food and clothing.

That is why it is correct to state that countries will not trade with each other, as countries have identical preferences and identical allocations, which means that the demands for these goods will be related to the prices of the goods and not in relation to income or preferences.

Therefore, there is no need to commercialize these two goods between these countries, except in situations of scarcity.

Consider a firm with production function F(K, L)=3L+8K. Assume that capital is fixed at K=12. Assume also that the rental rate (price) of capital r=10 and the wage rate (price) of labor w=3. The cost of production is the total expenditure on capital (fixed cost) and labor (variable cost). Then the cost of producing q units is__.
A. C(q)=114+(9q/8).
B. C(q)=24+39.
C. C(q)=88+(q/12).
D. C(q)=24+ q.
E. C(q)=24+q2

Answers

Question attached

Answer and Explanation:

Answer and explanation attached

Heels, a shoe manufacturer, is evaluating the costs and benefits of new equipment that would custom fit each pair of athletic shoes. The customer would have his or her foot scanned by digital computer equipment; this information would be used to cut the raw materials to provide the customer a perfect fit. The new equipment costs $107,000 and is expected to generate an additional $43,000 in cash flows for five years. A bank will make a $107,000 loan to the company at a 15% interest rate for this equipment’s purchase. Compute the recovery time for both the payback period and break-even time. (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)
Chart Values are Based on:
10%
Cumulative Cash Inflow Present Value of Inflow Year Present Value PV Factor (Outflow) (Outflow)
(91,000) x 1.0000- (91,000) $ (91,000) 36,000 x 36,000 x 2.5 years

Answers

Answer:

Payback period = 2.49 years

Break-even time = 3.36 years

Explanation:

a. Calculation of payback period

The payback period can be described as the amount of time it will take a firm recover its cost on a project or an investment.

The payback period can be calculated as follows:

Equipment cost = $107,000

Annual cash flow = $43,000

Payback period = Equipment cost / Annual cash flow = $107,000 / $43,000 = 2.49 years

b. Calculation of break-even time

Note: See the attached excel file for the computation of the cumulative present value of inflow (outflow).

In the attached excel, the present value (PV) factor is calculated using the following formula:

PV factor = 1/(1 + r)^n ............................... (1)

Where;

r = interest rate = 15%

n = a particular year from 1 to 5.

Break even time can be described as the amount of time that is needed for both the discounted cash flows and the initial cost of a project to be equal.

The break-even time is calculated using the following formula:

Break-even time = X + (Y / Z) .................... (2)    

X = Last year with a negative cumulative cash flow = 3

Y = Absolute value of cumulative cash flow at the end of period X = $8,821.32

Z = Present value of cash inflow for the period following X = $24,585.39  

Break-even time = 3 + ($8,821.32 / $24,585.39) = 3 + 0.36 = 3.36 years

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