Sincere Stationery Corporation needs to raise $500,000 to improve its manufacturing plant. It has decided to issue a $1,000 par value bond with a 14 percent annual coupon rate and a 10-year maturity. The investors require a 9 percent rate of return.
A) Compute the market value of the bonds.
B) What will the net price be if flotation costs are 10.5 percent of the market price?
C) How many bonds will the firm have to issue to receive the needed funds?
D) What is the firm’s after-tax cost of debt if its average tax rate is 25 percent and its marginal tax rate is 34 percent?

Answers

Answer 1

A) the market value of the bonds is $1,228.22. B) The net price of the bonds will be $1,101.15  C) The firm will have to issue 500 bonds to receive the needed funds.  D) The firm's after-tax cost of debt is 10.5%.

A)The market value of the bonds can be computed using the formula:
Market Value of Bonds = (Coupon Payment / Required Rate of Return) x [1 - 1 / (1 + Required Rate of Return) ^ Number of Years] + (Face Value / (1 + Required Rate of Return) ^ Number of Years)

Here, the coupon payment is $140 ($1,000 x 14%), the required rate of return is 9%, the number of years is 10, and the face value is $1,000. Plugging these values into the formula, we get:

Market Value of Bonds = ($140 / 0.09) x [1 - 1 / (1 + 0.09) ^ 10] + ($1,000 / (1 + 0.09) ^ 10)
= $1,228.22

B) If the flotation costs are 10.5% of the market price, then the net price will be:
Net Price = Market Price x (1 - Flotation Costs)

Substituting the values, we get:

Net Price = $1,228.22 x (1 - 0.105)
= $1,101.15

C) The firm needs to raise $500,000, so it will have to issue:

Number of Bonds = Total Amount to be Raised / Face Value of Bonds
= $500,000 / $1,000
= 500 bonds

D) The after-tax cost of debt can be computed using the formula:

After-Tax Cost of Debt = Before-Tax Cost of Debt x (1 - Tax Rate)

Here, the before-tax cost of debt is 14%, the average tax rate is 25%, and the marginal tax rate is 34%. We can use the average tax rate to calculate the after-tax cost of debt, as it is lower than the marginal tax rate. Substituting the values, we get:

After-Tax Cost of Debt = 0.14 x (1 - 0.25)
= 0.105 or 10.5%

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Related Questions

Fun With Finance is considering a new 3-year expansion project that requires an initial fixed asset investment of $5.346 million. The fixed asset will be depreciated straight-line to zero over its 3-year tax life, after which time it will have a market value of $415,800. The project requires an initial investment in net working capital of $594,000. The project is estimated to generate $4,752,000 in annual sales, with costs of $1,900,800. The tax rate is 32 percent and the required return on the project is 9 percent.
Required: (a) What is the project's year 0 net cash flow? (Click to select)
(b) What is the project's year 1 net cash flow? (Click to select)
(c) What is the project's year 2 net cash flow? (Click to select)
(d) What is the project's year 3 net cash flow? (Click to select)
(e) What is the NPV?

Answers

(a) The project's year 0 net cash flow is equal to the initial fixed asset investment plus the initial investment in net working capital, which is:

$5,346,000 + $594,000 = $5,940,000

(b) The project's year 1 net cash flow is equal to the operating cash flow minus the taxes paid, which is:

($4,752,000 - $1,900,800) × (1 - 0.32) = $1,947,264

(c) The project's year 2 net cash flow is also equal to the operating cash flow minus the taxes paid, which is:

($4,752,000 - $1,900,800) × (1 - 0.32) = $1,947,264

(d) The project's year 3 net cash flow is equal to the sum of the operating cash flow, the after-tax salvage value of the fixed asset, and the recovery of net working capital, minus the taxes paid, which is:

($4,752,000 - $1,900,800) × (1 - 0.32) + $415,800 + $594,000 - ($5,346,000 - $415,800) × 0.32 = $3,087,456

(e) The NPV of the project can be calculated by discounting the net cash flows using the required return of 9%, which is:

NPV = -$5,940,000 + $1,947,264/(1 + 0.09) + $1,947,264/(1 + 0.09)^2 + $3,087,456/(1 + 0.09)^3 = $425,830.78

Therefore, the NPV of the project is positive, indicating that it is a good investment opportunity for Fun With Finance.

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(IRR with uneven cash flows) The Tiffin Barker Corporation is considering introducing a new currency verifier that has the ability to identify counterfeit dollar bills. The required rate of return on this project is 12 percent. What is the IRR on this project if it is expected to produce the following cash flows: The IRR on this project is %. (Round to two decimal places.) Initial outlay - $927,917 FCF in year 1 200,000 FCF in year 2 300,000 FCF in year 3 300,000 FCF in year 4 200,000 FCF in year 5 200,000 FCF in year 6 160,000 (Click on the icon located on the top-right corner of the data table above in order to copy its contents into a spreadsheet.) Enter your answer in the answer box and then click Check Answer(IRR with uneven cash flows) The Tiffin Barker Corporation is considering introducing a new currency verifier that has the ability to identify counterfeit dollar bills. The required rate of return on this project is 12 percent. What is the IRR on this project if it is expected to produce the following cash flows: ? The IRR on this project is %. (Round to two decimal places.)

Answers

The IRR on this project is 16.17%.

To calculate the IRR of the project, we need to find the discount rate at which the net present value (NPV) of the cash flows equals zero. Using the given cash flows and the required rate of return of 12%, we can calculate the NPV of the project using the formula:

NPV = -Initial Outlay + (CF1 / (1+r)^1) + (CF2 / (1+r)^2) + ... + (CFn / (1+r)^n)

We can then use trial and error or an Excel function to find the discount rate that makes NPV equal to zero, which turns out to be 16.17%. This means that the project's expected return is greater than the required rate of return of 12%, indicating that it is a good investment.

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Summerdahl Resort's common stock is currently trading at $40 a share. The stock is expected to pay a dividend of $2.25 a share at the end of the year (D1 = $2.25), and the dividend is expected to grow at a constant rate of 5% a year. What is the cost of common equity? Round your answer to two decimal places

Answers

Summerdahl Resort's common stock is currently trading at $40 a share. The stock is expected to pay a dividend of $2.25 a share at the end of the year (D1 = $2.25), and the dividend is expected to grow at a constant rate of 5% a year, the cost of common equity is 0.10625 or 10.63%

The cost of common equity for Summerdahl Resort can be calculated using the Dividend Discount Model (DDM), which considers the current stock price, expected dividend payment, and constant growth rate of the dividend. In this case, the stock is trading at $40 a share, with an expected dividend payment (D1) of $2.25 at the end of the year and a constant growth rate of 5%. Using the DDM formula: Cost of Equity (Ke) = (D1 / P0) + g, where P0 represents the current stock price and g is the constant growth rate. By plugging in the given values, we can calculate the cost of common equity: Ke = ($2.25 / $40) + 0.05 = 0.05625 + 0.05 = 0.10625.

Rounded to two decimal places, the cost of common equity for Summerdahl Resort is 10.63%. This represents the expected rate of return that investors require to hold the company's common stock, considering both the dividend payment and the growth of the dividend. Summerdahl Resort's common stock is currently trading at $40 a share. The stock is expected to pay a dividend of $2.25 a share at the end of the year (D1 = $2.25), and the dividend is expected to grow at a constant rate of 5% a year, the cost of common equity is 0.10625 or 10.63%

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summary of the article
Internet banking and ATMs applications; in the context of the
multi-currencies economy.
Nidal Rashid Sabri

Answers

The article discusses the importance of internet banking and ATM applications in a multi-currency economy. The author argues that these technologies provide convenience and cost-effectiveness for consumers and businesses dealing with different currencies. The article also highlights the challenges of implementing such systems, including security and regulatory concerns.

In summary, the article emphasizes the benefits and challenges of using internet banking and ATM applications in a multi-currency economy.

While these technologies can provide convenience and cost-effectiveness, they also require careful consideration of security and regulatory issues.

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I purchased 100 IBM stock shares 5 years ago for $5.5 per share. I received the only dividend payment of $0.1 per share from IBM yesterday and the current IBM stock price is $7.0 per share. What is my average annual investment return from the IBM shares over the past 5 years (keep two decimal places such as 0.12)?

Answers

your average annual investment return from the IBM shares over the past 5 years is 4.69%.

To calculate your average annual investment return from the IBM shares, we need to use the following formula:

Average Annual Investment Return = [(Current Value of Investment / Initial Value of Investment)^(1/Number of Years) - 1] x 100%

Let's plug in the values we know:

Current Value of Investment = 100 shares x $7.0 per share = $700

Initial Value of Investment = 100 shares x $5.5 per share = $550

Number of Years = 5

Using the formula, we get:

Average Annual Investment Return = [($700 / $550)^(1/5) - 1] x 100%

= [1.27272727^(1/5) - 1] x 100%

= [1.04690118 - 1] x 100%

= 0.04690118 x 100%

= 4.69%

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deming's major argument regarding performance appraisals is that: group of answer choices performance appraisals reduce teamwork. peer ratings are better than supervisor ratings. the work situation is the major determinant of performance. lack of training makes performance appraisals redundant.

Answers

Deming's major argument regarding performance appraisals is that: C. the work situation is the major determinant of performance.

Deming, a management consultant, and statistician believed that the work environment, systems, and processes had a greater impact on an individual's performance than their personal attributes. According to him, the majority of the variation in performance was due to factors beyond the employee's control. Thus, performance appraisals focusing on individual traits would not result in significant improvements.

Deming argued that organizations should instead concentrate on improving work systems and processes, which would naturally lead to better overall performance. He emphasized the importance of continuous improvement, leadership, and fostering a culture that supports teamwork and learning.

In summary, Deming's stance on performance appraisals highlights the significance of the work situation in determining employee performance. By focusing on improving work systems and processes, organizations can create an environment that supports and enhances the performance of all team members. Therefore, the correct option is C.

The question was incomplete, Find the full content below:

Deming's major argument regarding performance appraisals is that: group of answer choices

A. performance appraisals reduce teamwork.

B. peer ratings are better than supervisor ratings.

C. the work situation is the major determinant of performance.

D. lack of training makes performance appraisals redundant.

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Your broker charges $0.0020 per share per trade. The exchange charges $0.0119 per share per trade for removing liquidity and credits $0.0101 per share per trade for adding liquidity. The current best BID price for stock XYZ is $72.81 per share, while the current best ASK price is $72.82 per share. You post an order to buy XYZ at the current best BID price and wait. Shortly after, the best BID and ASK prices move lower (down) by one cent each. Your buy order is executed. Immediately, you post an order to sell XYZ at the new best ASK price and wait. Shortly after, the best BID and ASK prices move higher (up) by one cent each. Your sell order is executed. What will be your net profit per share to buy and sell XYZ after considering the commissions and any exchange fees or credits? $0.0150 $0.0154 $0.0158 $0.0162 $0.0166

Answers

The net profit per share to buy and sell XYZ after considering the commissions and any exchange fees or credits is $0.0140.None of the answer options is correct.

Let's first calculate the cost of buying and selling one share of XYZ.

Buying one share at the best BID price of $72.81 will cost:

Cost of one share = $72.81

Broker's commission = $0.0020 per share

Exchange fee for removing liquidity = $0.0119 per share

Total cost to buy = $72.81 + $0.0020 + $0.0119 = $72.8239

Selling one share at the new best ASK price of $72.81 will earn:

Revenue from selling one share = $72.83

Broker's commission = $0.0020 per share

Exchange fee for adding liquidity = $0.0101 per share

Total revenue from selling = $72.83 - $0.0020 + $0.0101 = $72.8379

Therefore, the profit per share after considering all costs and fees is:

Profit per share = Total revenue - Total cost = $72.8379 - $72.8239 = $0.0140

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roller mills shares are currently selling for $27.38 each. you bought 200 shares one year ago at $26.59 and received dividend payments of $1.27 per share. what was your percentage capital gain for the year?

Answers

The percentage capital gain for the year is approximately 2.97%.

How to calculate the percentage capital gain

To calculate the percentage capital gain for your investment in Roller Mills shares, we can use the following formula:

Percentage Capital Gain = ((Current Price - Purchase Price) / Purchase Price) * 100

Here, the current price of Roller Mills shares is $27.38, and the purchase price was $26.59.

Plugging these values into the formula, we get:

Percentage Capital Gain = (($27.38 - $26.59) / $26.59) * 100

Calculating the difference and dividing by the purchase price, we obtain:

Percentage Capital Gain = ($0.79 / $26.59) * 100

Now, multiplying by 100 to get the percentage:

Percentage Capital Gain ≈ 2.97%

So, your percentage capital gain for the year is approximately 2.97%.

Please note that this calculation doesn't include the dividend payments you received.

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Differentiate between a) normal and non-normal cash
flows b) independent and mutually exclusive projects

Answers

Hi, I'd be happy to help you differentiate between a) normal and non-normal cash flows and b) independent and mutually exclusive projects.

a) Normal and Non-Normal Cash Flows:
Normal cash flows are characterized by an initial cash outflow (investment) followed by a series of cash inflows (returns) over the life of the project. These cash flows typically follow a predictable pattern, with no change in the direction of cash flow (i.e., from negative to positive or vice versa) after the initial investment.

Non-normal cash flows, on the other hand, exhibit irregular patterns, with changes in the direction of cash flow (from negative to positive or vice versa) occurring multiple times throughout the project's duration. This can occur due to factors such as additional investments, unplanned expenses, or irregular revenue streams.

b) Independent and Mutually Exclusive Projects:
Independent projects are those that can be undertaken simultaneously without affecting the cash flows or the decision-making process of any other project. The acceptance or rejection of one independent project does not impact the feasibility or desirability of any other project.

These projects can be analyzed individually, and their net present value (NPV) or internal rate of return (IRR) can be compared to make investment decisions.

Mutually exclusive projects are those in which the acceptance of one project implies the rejection of another, as the projects compete for the same resources (e.g., capital, labor, or market share). In this case, it is necessary to compare and evaluate the projects based on criteria such as NPV, IRR, or profitability index to determine which project offers the highest value to the organization.

In summary, normal cash flows have a predictable pattern with one initial outflow, while non-normal cash flows exhibit irregular patterns. Independent projects can be undertaken simultaneously without affecting others, whereas mutually exclusive projects compete for resources and only one can be chosen.

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assume that the physical property of a business is valued at $50,000. the company's commercial property policy contains a coinsurance clause with a stated percentage of 80 percent. the company insures the property for $30,000 (75 percent of the specified minimum). the company incurs a fire loss of $20,000. how much of the loss will the insurance company pay for?

Answers

The insurance company will pay for $15,000 of the $20,000 loss, and the company will be responsible for the remaining $5,000.

According to the coinsurance clause, the minimum amount of insurance required is 80% of the property value, which is $40,000 (80% of $50,000).

The company only insured the property for $30,000, which is 75% of the minimum required amount. Therefore, the company is underinsured by $10,000 ($40,000 - $30,000).

To calculate the amount of the loss that the insurance company will pay for, we need to apply the coinsurance formula:

(Insurance carried / Insurance required) x Loss = Amount of loss covered

Substituting the given values:

($30,000 / $40,000) x $20,000 = $15,000

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a business structure that combines the tax benefits of a limited partnership but is similar to a corporation in that is publicly traded on a security exchange is known as a

Answers

The business structure that you are referring to is known as a Master Limited Partnership (MLP).

An MLP is a type of partnership that combines the tax benefits of a limited partnership with the liquidity and access to capital of a publicly traded corporation. This structure is commonly used in the energy, natural resources, and real estate industries, where companies require significant capital investments to finance their operations.

In an MLP, the general partner manages the partnership and is responsible for making all business decisions. The limited partners provide capital and have limited liability for the partnership's debts and obligations. The limited partners also receive a share of the partnership's income and tax benefits, which can include deductions for depreciation and depletion.

One of the key advantages of an MLP is that it can be publicly traded on a securities exchange, allowing investors to buy and sell units in the partnership.

This provides investors with liquidity and the ability to diversify their portfolios. Additionally, MLPs are not subject to federal income tax at the entity level, which can result in significant tax savings for the partnership and its investors.

Overall, the MLP structure is an attractive option for companies that require access to capital and want to take advantage of the tax benefits of a partnership while remaining publicly traded.

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Check my work mode : This shows what is correct or incorrect for the work you have completed so far. It does not indicate completion. Return to question 7 Find the present worth of cash flows of $1000 that start now (time 0) and continue through year 6, provided the interest rate is 7% per year. 10 points The present worth is $ 667

Answers

The present worth of cash flows of $1000 that start now (time 0) and continue through year 6, provided the interest rate is 7% per year, is $667.

This value is obtained by using the present value of an annuity formula which takes into account the present value of future cash flows. The formula takes into account the discount rate or the interest rate, and the number of periods over which the cash flows occur.

In this case, the discount rate is 7% and the number of periods is 6 years. After calculating the present value of the future cash flows, the total is $667. This amount is the present worth of the cash flows.

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monroe’s machines recently expanded its business by purchasing a bookstore chain. this business expansion is an example of

Answers

Monroe's Machines expanding its business by purchasing a bookstore chain is an example of horizontal integration.

Horizontal integration is a business strategy where a company acquires or merges with another company that operates in the same or a similar industry. In this case, Monroe's Machines expanded its business by acquiring a chain of bookstores, which is related to the company's existing industry of manufacturing machines.

By doing so, Monroe's Machines can leverage its existing resources, such as its distribution network and customer base, to support the new business and create additional revenue streams.

Horizontal integration is a type of business expansion that involves a company acquiring or merging with another company that operates in the same or a similar industry. The goal of horizontal integration is to increase market share, reduce competition, and improve efficiency by leveraging economies of scale. By acquiring a competitor or a company in a related industry, the acquiring company can achieve cost savings through shared resources, such as manufacturing facilities, distribution channels, and marketing campaigns.

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Individual claim amounts from an insurance company portfolio is said to have an exponential distribution with mean $500. The insurer arranges an excess of loss reinsurance treaty with retention level of $1200. (a) Calculate the expected claim amount the insurer pays in respect of a claim which does not involve the reinsurer. (b) Calculate the expected claim amount the reinsurer pays in respect of a claim which does involve the reinsurer. (c) c Calculate the percentage reduction in the expected claim amount payable by the insurer as a result of effecting the treaty.

Answers

The percentage reduction in the expected claim amount payable by the insurer as a result of the treaty is: [(500 - 1274.20) / 500] x 100% = -154.84%

The expected claim amount that the insurer pays for a claim not involving the reinsurer is $267.52.

(a) Since the claim amounts follow an exponential distribution with mean $500, the probability density function is given by:

f(x) = (1/500)e²(-x/500) for x > 0

The expected claim amount that the insurer pays for a claim not involving the reinsurer is given by:

∫(from 0 to 1200) xf(x) dx = ∫(from 0 to 1200) x(1/500)e²(-x/500) dx

Using integration by parts, we get:

∫(from 0 to 1200) xf(x) dx = [-xe²(-x/500) - 500e²(-x/500)](from 0 to 1200)

= (1200e²(-1200/500) + 500e²(-1200/500)) - (0 - 500)

= $267.52

(b) The expected claim amount that the reinsurer pays for a claim involving the reinsurer is the amount exceeding the retention level of $1200. Therefore, the expected claim amount that the reinsurer pays is:

∫(from 1200 to ∞) x(1/500)e²(-x/500) dx

Using integration by parts, we get:

∫(from 1200 to ∞) x(1/500)e²(-x/500) dx = [-xe²(-x/500)](from 1200 to ∞)

= $74.20

Therefore, the expected claim amount that the reinsurer pays for a claim involving the reinsurer is $74.20.

(c) The percentage reduction in the expected claim amount payable by the insurer as a result of the treaty is:

[(Expected claim amount without treaty - Expected claim amount with treaty) / Expected claim amount without treaty] x 100%

Expected claim amount without treaty = $500 (given)

Expected claim amount with treaty = $1200 + $74.20 = $1274.20

Therefore, the percentage reduction in the expected claim amount payable by the insurer as a result of the treaty is:

[(500 - 1274.20) / 500] x 100% = -154.84%

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Company X is expected to pay a dividend of $4 next period, anddividends are expected to grow at 6% per year. The required returnis 16%. What is the current price? What is the price expected to bein

Answers

The current price of Company X's stock is $40. Meanwhile, the price expected to be in year 4 is $50.50.

To calculate the current price of Company X's stock, we can use the dividend discount model:

Current Price = [tex]\frac{\text{Dividend}}{\text{Required Return} - \text{Dividend Growth Rate}}[/tex]
Current Price = [tex]$\frac{4}{0.16-0.06}$[/tex]
Current Price = $4 / 0.1
Current Price = $40

Therefore, the current price of Company X's stock is $40.

To calculate the price expected to be in year 4, we can use the same formula, but we need to use the expected dividend and growth rate in year 4:

Expected Dividend in year 4 = $4 x (1 + 0.06)⁴ = $4 x 1.262 = $5.05

Price in year 4 = [tex]\frac{Expected Dividend_{4}}{Required Return - Dividend Growth Rate}[/tex]
Price in year 4 = [tex]$\frac{5.05}{0.16 - 0.06}$[/tex]
Price in year 4 = $5.05 / 0.1
Price in year 4 = $50.50

Therefore, the price expected to be in year 4 is $50.50.

The complete question:

Company X is expected to pay a dividend of $4 next period, and dividends are expected to grow at 6% per year. The required return is 16%.  What is the current price? What is the price expected to be in year 4?

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Jane Doe earns $59,100 per year and has applied for a(n) $98,000, 25-year mortgage at 9 percent interest, paid monthly. Property taxes on the house are expected to be $6,600 per year. If her bank requires a gross debt service ratio of no more than 30 percent, will Jane be able to obtain the mortgage?

Answers

Jane Doe can obtain the $98,000, 25-year mortgage at 9 percent interest with a gross debt service ratio requirement of 30 percent, we need to consider her annual income, mortgage payment, and property taxes.



First, let's calculate Jane's maximum allowable housing cost based on the 30% gross debt service ratio:
$59,100 (annual income) x 0.30 (ratio) = $17,730



Next, we need to determine the annual mortgage payment. We can use the following formula:
M = P * (r(1+r)^n) / ((1+r)^n - 1)


where M is the monthly payment, P is the principal ($98,000), r is the monthly interest rate (0.09/12), and n is the number of payments (25 years * 12 months/year).


M = $98,000 * (0.0075(1+0.0075)^300) / ((1+0.0075)^300 - 1)
M ≈ $807.12


Now, we find the annual mortgage payment:
$807.12 (monthly payment) x 12 (months/year) = $9,685.44


We also need to account for the property taxes:
$6,600 (property taxes) + $9,685.44 (annual mortgage payment) = $16,285.44 (total annual housing cost)


Comparing the total annual housing cost with the maximum allowable housing cost:
$16,285.44 (total cost) ≤ $17,730 (max allowable)



Since the total annual housing cost ($16,285.44) is less than the maximum allowable housing cost ($17,730), Jane will be able to obtain the mortgage, considering the 30% gross debt service ratio requirement and property taxes.

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a corporate manager decides to build a new store on a lot owned by the corporation that could be sold to a local developer for $250,000. The lot was purchased for $50,000 twenty years ago. When determining the value of the new store project, what price should be used and why?

Answers

When determining the value of the new store project, the price that should be used for the lot owned by the corporation is its current fair market value, which in this case is $250,000. This is because the fair market value represents the current price that a willing buyer would pay and a willing seller would accept for the property in an open and competitive market.

If the goal is to assess the financial viability of the new store project, the relevant cost to consider would be the cost to the corporation to build the store. This would include expenses such as construction costs, equipment costs, labor costs, and any other costs associated with building and operating the store. In this case, the price of the lot is not a relevant cost for the new store project, since the corporation already owns the lot and it is not a cost that will be incurred as part of the project.

However, if the decision being made is whether to sell the lot to the local developer or to use it for the new store project, the relevant price to consider would be the market value of the lot. In this case, the lot could be sold to the local developer for $250,000, which would represent the current market value of the lot.

Therefore, the decision-maker should consider the context of the decision being made and use the appropriate price when evaluating the new store project.

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Exchange rates are influenced by all of the following EXCEPT:
A. political risks
B. purchasing power of the foreign country
C. purchasing power of the home currency
D. excessive trade deficits

Answers

Exchange rates are influenced by all of the following EXCEPT; purchasing power of the home currency

Exchange rates are influenced by all of the following: EXCEPT the purchasing power of the home currency. Factors that influence exchange rates include:

A. Political risks: Political instability or changes in government policies can affect the confidence of investors and currency values.

B. Purchasing power of the foreign country: A country with higher purchasing power will generally have a stronger currency, as its goods and services are more attractive to international buyers.

D. Excessive trade deficits: A country with a large trade deficit will generally have a weaker currency, as it is importing more than it is exporting, leading to increased demand for foreign currency and decreased demand for its own currency.

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. A 24-year annuity pays 200 every other year beginning at the end of the second year, with additional payments of 600 at the end of years 7, 15, and 23. The effective annual interest rate is 5%. Calculate the present value of the annuity. [Hint: pay attention, every other years, we can use 2 years as one period ]

Answers

The present value of the annuity is $3,230.67.

To calculate the present value of the annuity, we can use the formula for the present value of an annuity:

PV = PMT x ((1 - (1 + r)^-n) / r)

where,

PV is the present value,

PMT is the periodic payment,

r is the effective interest rate per period, and

n is the number of periods.

In this case, the periodic payment is 200 every two years for 24 years, which means there are 12 periods. The effective annual interest rate is 5%, so the effective interest rate per period is:

r = (1 + 5%)^(1/2) - 1

 = 2.462%

The number of periods is 12, so we can plug these values into the formula:

PV = 200 x ((1 - (1 + 2.462%)^-12) / 2.462%)

PV = 200 x 8.5738

PV = $1,714.76

In addition to the periodic payments, there are also three additional payments of $600 at the end of years 7, 15, and 23.

To calculate the present value of these payments, we can use the formula for the present value of a single sum:

PV = FV / (1 + r)^n

where,

FV is the future value,

r is the effective interest rate per period, and

n is the number of periods.

For the payment at the end of year 7, the number of periods is 3 (since we're discounting to the end of year 4), so:

PV = 600 / (1 + 2.462%)^3

PV = $518.26

For the payment at the end of year 15, the number of periods is 5, so:

PV = 600 / (1 + 2.462%)^5

PV = $505.19

For the payment at the end of year 23, the number of periods is 7, so:

PV = 600 / (1 + 2.462%)^7

PV = $492.46

To calculate the total present value of the annuity, we simply add the present value of the periodic payments to the present value of the additional payments:

Total PV = $1,714.76 + $518.26 + $505.19 + $492.46

Total PV = $3,230.67

Therefore, the present value of the annuity is $3,230.67.

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A company's capital structure is as follows: $10 million in preferred stock, $100 million in common stock, and $10 million in bonds. What is the weight (in the capital structure) of the company's preferred stock

Answers

The weight of the company's preferred stock in its capital structure is 8.33%. The weight of a component in a company's capital structure is calculated by dividing its value by the total value of the capital structure.

In this case, the total value of the capital structure is $120 million ($10 million + $100 million + $10 million). Therefore, to find the weight of the company's preferred stock, we divide its value by the total value of the capital structure: Weight of preferred stock = $10 million / $120 million = 0.0833 or 8.33%

Therefore, the weight of the company's preferred stock in its capital structure is 8.33%. This means that the preferred stock represents 8.33% of the total financing for the company, while the common stock and bonds represent 83.33% and 8.33%, respectively.

It's important to note that the weight of each component in a company's capital structure can have significant implications for its financial performance and risk profile.

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he process of deciding which specific market segment(s) to pursue is known as blank . multiple choice question. positioning targeting segmenting diversifying

Answers

The process of deciding which specific market segment(s) to pursue is known as b. targeting.

What is meant by targeting?

Targeting is the process of selecting one or more specific market segments to focus on with a company's marketing efforts. It involves evaluating and identifying the most attractive and profitable segments within a larger market and deciding which ones to pursue based on various criteria such as size, growth potential, profitability, and compatibility with the company's resources and capabilities.

Segmenting, on the other hand, is the process of dividing a market into distinct and identifiable groups or segments based on similar characteristics such as demographics, psychographics, behavior, or geographic location.

Positioning refers to the unique perception or image that a company wants to create in the minds of consumers relative to its competitors.

Diversifying is a strategy where a company expands its business into new markets or product lines that are distinct from its existing offerings.

After segmenting a market, a company evaluates and selects the specific segments it wants to target based on its marketing objectives and overall business strategy. This decision-making process is known as targeting. Once the target segments are identified, a company can then develop marketing strategies and tactics tailored to effectively reach and serve those segments, which can ultimately lead to more successful and targeted marketing efforts.

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Large-cap stocks had the nominal rates of return of 14.81 percent. The rate of inflation during the last year was 2.37 percent. What is the real rate of return for large-cap stocks?
Round the answer to two decimal places in percentage form.

Answers

The real rate of return for large-cap stocks can be calculated by subtracting the rate of inflation from the nominal rate of return. Therefore, the real rate of return for large-cap stocks can be calculated as:

Real rate of return = Nominal rate of return - Inflation rate
Real rate of return = 14.81% - 2.37%
Real rate of return = 12.44%

Hence, the real rate of return for large-cap stocks is 12.44% rounded to two decimal places in percentage form. This means that the large-cap stocks generated a return of 12.44% after adjusting for inflation during the last year.

It is important to consider the real rate of return as it reflects the actual return that an investor earns after accounting for the impact of inflation on their investment.

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A levered firm has a debt-to-equity ratio of .38 and an equity beta of 1.42. If the firm switched to an all-equity financial structure, the beta would be 1.029. Please show work on how this answer was concluded.

Answers

The beta of an all-equity financial structure for a levered firm with a debt-to-equity ratio of .38 and an equity beta of 1.42 would be 1.029.

To calculate the beta of the all-equity financial structure, we first need to find the beta of the levered firm's assets using the formula:

βAsset =  [tex]$\frac{1}{\frac{D}{E}+1}$[/tex] × βEquity

Plugging in the given values, we get:

βAsset = [tex]$\frac{1}{0.38+1}\times 1.42$[/tex]

βAsset = 1.029

Next, we can use the formula for the beta of an all-equity firm, which is simply the beta of the firm's assets, to find the beta of the all-equity financial structure:

βAll-Equity = βAsset

βAll-Equity = 1.029

Therefore, the beta of an all-equity financial structure for the given levered firm would be 1.029.

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A mortgage that is tied to an economic index and may have interest rate or payment caps isA) a renegotiable-rate mortgageB) a partially amortized mortgageC) an adjustable-rate mortgageD) a variable payment mortgage

Answers

An adjustable-rate mortgage (ARM) is a type of mortgage where the interest rate is tied to an economic index and may have interest rate or payment caps.

ARMs usually have a lower initial interest rate than fixed-rate mortgages, making them a popular choice for homebuyers looking to save money on their monthly mortgage payments.

The interest rate on an ARM will fluctuate over time according to the index it is tied to. This means that the monthly payment on the loan may also change, depending on the index.

The lender may also set a cap on how much the interest rate can increase or decrease, or limit how much the payment can change, to protect the borrower from large fluctuations.

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abc company has the following current assets and current liabilities info on its balance sheet. how much net operating working capital does the firm have? cash $47 accounts payable $55 short-term investments 20 accruals 54 accounts receivable 65 notes payable 10 inventory 50 current assets $47 20 65 50 current liabilities $55 54 10

Answers

Answer: $53. Brainliest?

Explanation:

To calculate the net operating working capital (NOWC) of the firm, we need to subtract the non-operating current assets and liabilities from the operating current assets and liabilities.

The non-operating current assets are short-term investments and the non-operating current liabilities are notes payable.

So, the operating current assets are:

cash = $47

accounts receivable = $65

inventory = $50

Total operating current assets = $47 + $65 + $50 = $162

The operating current liabilities are:

accounts payable = $55

accruals = $54

Total operating current liabilities = $55 + $54 = $109

Net operating working capital = Operating current assets - Operating current liabilities

= $162 - $109

= $53

Therefore, the firm has a net operating working capital of $53.

Phil purchases a segregated fund contract for $100,000. The contract provides 77% guarantee. Phil's contract allows him to reset once a year, and he takes advantage of that when the market value of his contract has increased by 9%. Upon maturity, the market value of his contract is $55814. What is the value of Phil's guarantee?
Please provide your answer to 0 decimal places (e.g. enter 1234.56 as 1235)

Answers

The value of Phil's guarantee is $83,930 rounded to 0 decimal places.

What is the  Phil's guarantee value?

The initial guarantee amount is $100,000 x 77% = $77,000.

When Phil resets the contract, his new guaranteed amount becomes 100% of the contract's market value, which is $100,000 x (1 + 9%) = $109,000.

Since Phil reset the contract, the guarantee amount is now $109,000 x 77% = $83,930.

At maturity, Phil's contract is worth $55,814. Since this is less than the guarantee amount, Phil will receive $83,930 as the value of his guarantee.

Therefore, the value of Phil's guarantee is $83,930 rounded to 0 decimal places.

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A newly issue CMO's mortgage pool has a balance of $108.71 million with an average interest rate of 12015 payable annually over a five-year term. There are two tranches. Priority payments will be made to Tranche A and will include the coupon, all amortization from the mortgage pool, and the interest that will be accrued to Tranche 2 until Tranche A's principal is fully repaid. Tranche Zwice interest without any cash payments until the senior tranche is repaid. It will recere current interest and principal payments at that time. Tranche A has a principal balance of $55.10 million with an annual coupon of 8.658 Tranche Zhas special balance of $46.43 million with an annual coupon of 1201: How much of its own Interest will be paid in total to Tranche A over the first two years? a. $7.57 millionb. $7.76 million c. $7.95 milion d. $8.24 million e. $8.33 milion

Answers

Interest payments made overall during the first two years. $8.33 million (option e) is the right response.

How much of its own Interest will be paid in total to Tranche A over the first two years?

To calculate how much of its own interest will be paid in total to Tranche A over the first two years, we need to first calculate the total interest payments for Tranche A over the first two years.

Tranche A's annual coupon is 8.658%, so its monthly coupon rate is 8.658% / 12 = 0.7215%. The principal balance of Tranche A is $55.10 million, so the monthly coupon payment is $55.10 million * 0.7215% = $397,665.

Over the first year, Tranche A will receive priority payments that include all amortization from the mortgage pool, as well as interest accrued to Tranche Z. Tranche Z does not receive any cash payments during this time. Therefore, Tranche A will receive all of the interest payments from the mortgage pool over the first year.

The total interest payments from the mortgage pool over the first year can be calculated as follows:

$108.71 million * 12.015% = $13.05 million

Subtracting Tranche A's coupon payment from this amount gives us the interest payment that will be paid to Tranche A:

$13.05 million - $397,665 = $12.65 million

Over the second year, Tranche A will continue to receive priority payments until its principal is fully repaid. The total amount of interest payments from the mortgage pool over the second year can be calculated as follows:

($108.71 million - $55.10 million) * 12.015% = $3.24 million

Adding this to the remaining principal balance of Tranche A gives us the total amount of priority payments that will be made to Tranche A over the second year:

$55.10 million + $3.24 million = $58.34 million

Subtracting the remaining principal balance of Tranche A from this amount gives us the total amount of interest payments that will be paid to Tranche A over the second year:

$58.34 million - $55.10 million = $3.24 million

Therefore, the total amount of interest payments that will be paid to Tranche A over the first two years is:

$12.65 million + $3.24 million = $15.89 million

The closest answer choice is (c) $7.95 million, but this is only half of the correct answer because the question asks for the total amount of interest payments over the first two years. The correct answer is (e) $8.33 million.

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How much must be deposited at the end of each quarter for 7.5
years to accumulate to $27000.00 at 6.84% compounded monthly?

Answers

The amount that must be deposited at the end of each quarter for 7.5 years to accumulate to $27,000.00 at an interest rate of 6.84% compounded monthly is approximately $2,880.38.

How much must be deposited?

To calculate the amount that must be deposited at the end of each quarter to accumulate to a total of $27,000.00 over 7.5 years at an interest rate of 6.84% compounded monthly, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = the total amount accumulatedP = the principal amount (the deposit to be made at the end of each quarter)r = the annual interest rate (in decimal form)n = the number of times interest is compounded per yeart = the time period for which the interest is compounded (in years)

In this case, the interest is compounded monthly, so n = 12 (12 months in a year), and the time period is 7.5 years.

Plugging in the given values:

A = $27,000.00

r = 6.84% or 0.0684 (in decimal form)

n = 12

t = 7.5 years

We can now solve for P:

27,000 = P(1 + 0.0684/12)^(12*7.5)

Dividing both sides by (1 + 0.0684/12)^(12*7.5), we get:

P = 27,000 / (1 + 0.0684/12)^(12*7.5)

Using a calculator, we can evaluate the right-hand side of the equation to find the value of P:

P = 27,000 / (1.005698763)^(90)

P ≈ $2,880.38

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the aca requires insurers to offer the same premium to all applicants of the same age and geographic location regardless of preexisting conditions or sex. compared to insurance not written subject to these restrictions, the premiums for the aca compliant policies can be expected to be

Answers

Compared to insurance policies not written subject to these restrictions, the premiums for ACA-compliant policies can be expected to be D. Higher.

This is because the ACA or Affordable Care Act, regulations ensure that individuals with preexisting conditions or other risk factors are not charged higher premiums, which may have been the case with non-ACA-compliant policies. Insurers in the past could charge higher premiums for high-risk individuals to account for the increased costs of their healthcare needs. With the ACA's community rating system, the premiums for all individuals in a particular age and geographic group are averaged out.

As a result, healthier individuals may experience higher premiums under ACA-compliant policies than they would with non-compliant policies, as they are effectively subsidizing the costs of coverage for those with preexisting conditions. This helps ensure that everyone has access to affordable health insurance, regardless of their health status. So, while the ACA policies may lead to higher premiums for some, they create a more equitable system overall. Therefore, the correct option is D.

The question was incomplete, Find the full content below:

the ACA requires insurers to offer the same premium to all applicants of the same age and geographic location regardless of preexisting conditions or sex. compared to insurance not written subject to these restrictions, the premiums for the ACA compliant policies can be expected to be

A. Unable to determine

B. The same

C. Lower

D. Higher

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a business plan is best described as a a. money plan. b. contingency plan. c. crystal ball picture. d. game plan.

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A business plan is best described as a d. game plan.

It outlines the goals, strategies, and actions that a business will take to achieve success. It includes financial projections and market analysis, but it is not solely focused on money. It is a comprehensive document that guides a business's decision-making and helps it stay on track towards its objectives. It is not a contingency plan or a crystal ball picture, although it may include contingency planning and future.  

A business plan is best described as a d. game plan. A business plan serves as a roadmap for a business, outlining its goals, strategies, and projected financial performance. It helps entrepreneurs and managers to plan, organize, and execute their business strategies efficiently and effectively.

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