A bond matures in 9 years and pays a 4 percent annual coupon. The bond has a face value of $1,000 and currently sells for $979. What is the bond’s current yield?
4.09%
97.50%
4.35%
5.21%
The same facts as in #2 above, what is the yield to maturity on the bond?
4.75%
8.12%
5.51%
4.29%

Answers

Answer 1

We need to divide the annual coupon payment by the current market price of the bond, and then multiply by 100 to get a percentage. Therefore, the bond’s yield to maturity is approximately 4.29%.

Current yield = (Annual coupon payment / Current market price) x 100%

The annual coupon payment is 4% of the face value, or $40 per year. The current market price is $979. Plugging these numbers into the formula, we get:

Current yield = ($40 / $979) x 100% ≈ 4.09%

Therefore, the bond’s current yield is approximately 4.09%.

To calculate the bond’s yield to maturity, we need to solve for the interest rate that makes the present value of the bond’s future cash flows equal to the current market price. We can use a financial calculator or spreadsheet software to do this, but we will show the steps using the formula:

PV = C / (1 + r)^1 + C / (1 + r)^2 + ... + C / (1 + r)^n + F / (1 + r)^n

Where PV is the current market price, C is the annual coupon payment, r is the yield to maturity (the interest rate we are solving for), n is the number of years to maturity, and F is the face value of the bond.

Plugging in the given values, we get:

$979 = $40 / (1 + r)^1 + $40 / (1 + r)^2 + ... + $40 / (1 + r)^9 + $1,000 / (1 + r)^9

We can use a trial-and-error method or a numerical solver to find that the yield to maturity is approximately 4.29%.

Therefore, the bond’s yield to maturity is approximately 4.29%.

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Related Questions

he two main forms of foreign aid include: food aid and donated weapons economic loans and refugee assistance economic assistance and security assistance refugee assistance and non-concessional loans

Answers

The two main forms of foreign aid are economic assistance and security assistance.

While aid refers to economic, military, or emergency humanitarian (e.g., aid given following natural disasters), foreign aid refers to a transfer of financial resources or commodities (e.g., food or military equipment) or technical advice and training from one country to another. The resources can take the form of grants or concessional credits.

Economic assistance can take the form of grants, concessional loans, or debt relief, while security assistance can involve military training and equipment. Food aid and refugee assistance are also common forms of foreign aid, but they are not the main forms. Donated weapons and non-concessional loans are generally not considered forms of foreign aid, as they can be seen as contributing to conflict and instability rather than development and poverty reduction.

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chico company paid $500,000 for a basket purchase that included office furniture, a building and land. an appraiser provided the following estimates of the market values of the assets if they had been purchased separately: office furniture $110,000; building $400,000, land $80,000. based on this information, the amount of cost that would be allocated to the office furniture is closest to:

Answers

 To determine the cost allocated to the office furniture, we can use the proportionate market value allocation method.
First, calculate the total market value of all assets:
$110,000 (office furniture) + $400,000 (building) + $80,000 (land) = $590,000.
Next, find the proportion of the office furniture's market value to the total market value:
$110,000 / $590,000 = 0.1864 (rounded to four decimal places).
Finally, multiply the proportion by the total basket purchase price:
0.1864 * $500,000 = $93,200.
The amount of cost allocated to the office furniture is closest to $93,200.

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a/an ________ profile can be developed when a person registers on or buys something from a website. a. vertical b. statistical c. identified d. anonymous

Answers

The identified profile can then be used for various purposes, such as personalizing the user's experience on the website, sending targeted marketing emails, or offering tailored product recommendations. The correct answer is C.

When a person registers on a website or makes a purchase, they usually provide personal information such as their name, email address, and sometimes even their physical address or phone number. This information allows the website to create an identified profile for that user. Here's a step-by-step explanation of how an identified profile is created:
1. A user visits a website and decides to register or make a purchase.
2. The website prompts the user to provide personal information such as name, email address, and possibly additional details.
3. The user submits the required information to the website.
4. The website stores this information and uses it to create an identified profile for the user.
5. The identified profile is then used by the website for various purposes, including personalization, targeted marketing, and tailored product recommendations.In summary, an identified profile is created when a user provides personal information while registering on or making a purchase from a website. This profile can be used for multiple purposes, such as enhancing the user's experience and providing personalized content.

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build corporation wants to purchase a new machine for $300,000. management predicts that the machine can produce sales of $200,000 each year for the next 5 years. expenses are expected to include direct materials, direct labor, and factory overhead (excluding depreciation) totaling $80,000 per year. the firm uses straight-line depreciation with no residual value for all depreciable assets. build's combined income tax rate is 40%. management requires a minimum after-tax rate of return of 10% on all investments. what is the net present value (npv) of the investment, rounded to the nearest whole dollar? (the pv annuity factor for 5 years, 10% is 3.791.) assume that the cash inflows occur at year-end.

Answers

The net present value is a measure of the expected profitability of an investment by comparing the present value of its expected cash inflows to the cost of the investment. In this scenario, Build's management can use the calculated net present value to make a more informed decision on whether to invest in the new machine.

To calculate the NPV, we need to first determine the cash inflows and outflows for each year. In this case, the cash inflow for each year is the sales revenue of $200,000, and the cash outflow is the total expenses of $80,000, excluding depreciation. To calculate the depreciation, we need to divide the cost of the machine ($300,000) by its useful life (5 years), which gives us an annual depreciation expense of $60,000. We subtract this depreciation expense from the cost of the machine to get the tax basis, which is $240,000.

To calculate the tax savings due to depreciation, we need to multiply the depreciation expense by the combined income tax rate of 40%, which gives us $24,000. We subtract this tax savings from the annual cash outflow of $80,000 to get a net cash outflow of $56,000 per year.

Using the PV annuity factor for 5 years at a rate of 10%, which is 3.791, we can calculate the present value of the net cash flows for each year. We multiply the annual net cash flow of $56,000 by the PV annuity factor of 3.791 to get a present value of $212,296. Adding up the present values for all 5 years gives us a total present value of $1,061,480.

To calculate the NPV, we subtract the initial cost of the machine ($300,000) from the total present value of the cash flows ($1,061,480), which gives us a net present value of $761,480. Rounded to the nearest whole dollar, the net present value of the investment is $761,480.

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explain how mergers and acquisitions and corporate buyout activities are enhanced by low interest rates, and why leveraged buyout activity, in particular, tends to decline as interest rates rise.

Answers

Mergers and acquisitions (M&A) and corporateactivities are often enhanced by low interest rates because they make it cheaper and easier for companies to finance these transactions. When interest rates are low, companies can borrow money at a lower cost and use the funds to finance an acquisition or buyout. This can lead to increased activity in the M&A and corporate buyout markets, as companies are more likely to pursue these transactions when the cost of borrowing is low.

Low interest rates also make it more attractive for investors to finance these transactions through debt, as the cost of servicing the debt is lower. This can lead to an increase in leveraged buyout (LBO) activity, where a company is acquired using a significant amount of debt financing.

However, when interest rates rise, the cost of borrowing increases, making it more expensive for companies to finance these transactions. This can lead to a decline in M&A and corporate buyout activity, as companies may be less willing or able to pursue these transactions. In particular, LBO activity tends to decline as interest rates rise, as the increased cost of servicing debt can make it more difficult for companies to manage the debt load taken on during the acquisition.

In addition, higher interest rates can also make other financing options, such as equity financing, more attractive relative to debt financing. This can make it more difficult for companies to secure debt financing for an acquisition or buyout, further reducing activity in the M&A and corporate buyout markets.

Overall, low interest rates can create favorable conditions for M&A and corporate buyout activity, particularly leveraged buyouts. However, rising interest rates can lead to a decline in activity, as companies may find it more difficult or expensive to finance these transactions.

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Companies frequently use information from the following sources when conducting their credit analysis: 1. I) financial statement supplied by the customer; 2. II) payment history supplied by other firms; 3. III) payment history supplied by banks I only Il only ll and Ill only O I, II and III

Answers

Credit analysis is an important part of the process for businesses when it comes to deciding whether to extend credit to potential customers.

Companies use information from a variety of sources when conducting their credit analysis. These sources include financial statements supplied by the customer, payment history supplied by other firms, and payment history supplied by banks.

By examining these sources, companies can get a better understanding of the customer’s ability and willingness to pay their debts. The financial statement provides information about the customer’s income, expenses, and assets, which helps to assess the customer’s financial position.

The payment history supplied by other firms gives the company an indication of how the customer has managed their debt obligations with other lenders. The payment history supplied by banks further provides insight into the customer’s creditworthiness and the customer’s credit score.

All of these sources help companies to gain a comprehensive understanding of the customer’s financial situation and make informed decisions on whether to extend credit.

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a portfolio has a beta of 1.35, a standard deviation of 13.3%, and an average return of 12.01%. the market rate is 12.7% and the risk-free rate is 2.1%. what is the sharpe ratio? multiple choice .716 .745 .754 .847 .863

Answers

Looking at the options, the closest value is 0.745, so that option (b) would be the answer.

The Sharpe ratio can be calculated as (portfolio average return - risk-free rate) / portfolio standard deviation.
Using the given values:
Sharpe ratio = (12.01% - 2.1%) / 13.3% = 0.679
However, this answer is not one of the options provided.
To get one of the options, we can use the fact that the Sharpe ratio is affected by the market rate.
If the market rate is higher than the portfolio's average return, the Sharpe ratio will be lower. If the market rate is lower than the portfolio's average return, the Sharpe ratio will be higher.
Since the market rate is 12.7% and the portfolio's average return is 12.01%, we know that the Sharpe ratio will be higher than the calculated value of 0.679.
Looking at the options, the closest value is 0.745, so that would be the answer.

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If a firm has an EV of $920 million and EBITDA of $285 million,
what is its EV ratio?

Answers

The EV ratio is 3.2.

The EV ratio of a firm is a measure of how much debt and equity capital it has compared to its Enterprise Value (EV). In this case, the firm has an Enterprise Value of $920 million and an EBITDA of $285 million. This gives an EV ratio of 3.2, which means that for every $1 of enterprise value, the firm has $3.2 of EBITDA.

This ratio is a measure of the firm's ability to generate profits and its overall financial health. A higher EV ratio indicates that the firm is more financially healthy and can generate higher profits. The EV ratio can be used to compare different firms in the same industry to see which firm is more efficient and can generate higher profits. It is also used to analyze the firm's financial performance over time.

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.With the introduction of an individual incentive program,Aleksander feels like he is competing with the other members of his team instead of working together with them.While the individual incentive plan could mean more money for some members of the team,most members of the team feel the same way Aleksander does.They wish they could go back to working together for a group incentive.Which disadvantage of individual incentives does this illustrate?
A) Many jobs have no direct output.
B) Individual incentives may motivate undesirable employee behaviors.
C) The record-keeping burden needed for individual incentives is high.
D) Individual incentives may not fit organizational culture.

Answers

The disadvantage of individual incentives that this situation illustrates is that "Individual incentives may not fit organizational culture."

When an individual incentive program is introduced, it can create a competitive environment where employees are motivated to prioritize their own interests over those of the team. This can result in a breakdown of teamwork and a negative impact on organizational culture.

In this scenario, Aleksander and his team members feel like they are competing with each other, rather than working together as a team. This suggests that the individual incentive program is not aligned with the team-oriented culture of the organization, and may be causing more harm than good.

Therefore, it is important for organizations to carefully consider their culture and values when designing and implementing incentive programs. Incentive programs should be aligned with the organization's goals and values, and should encourage behaviors that support teamwork and collaboration, rather than competition and individualism.

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The disadvantage the given question illustrates is: B) Individual incentives may motivate undesirable employee behaviors. Thus, option B is correct.

In this case, the individual incentive program is causing team members to compete against each other rather than collaborating and working together, which is an undesirable behavior in a team-oriented environment. Teamwork has a number of advantages in a work environment that include the following:

1. Effective communication

2. Working hard towards a common goal

3. Improves problem solving skills

4. Contributes to the culture of the company

5. Increases employee engagement

Thus, it is more beneficial to provide group incentives rather than individual incentives as the former promote work culture while the latter leads to undesirable employee behavior. Option B is the correct option.

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The real risk-free rate is 4.5%. Inflation is expected to be 3.5% this year and 5.5% during the next 2 years. Assume that the maturity risk premium is zero.
a.What is the yield on 2-year Treasury securities? Round your answer to two decimal places.
b.What is the yield on 3-year Treasury securities? Round your answer to two decimal places

Answers

a. The yield on 2-year Treasury securities is 7.00%. This is calculated by adding the real risk-free rate (4.5%) and the expected inflation rate for the next two years (5.5%).

b. The yield on 3-year Treasury securities is 8.00%. This is calculated by adding the real risk-free rate (4.5%) and the expected inflation rate for the next three years (7.5%).

The real risk-free rate is the rate of return on an investment with no risk, such as a U.S. Treasury security. Inflation is the rate at which the prices of goods and services increase over time, and is usually measured by the Consumer Price Index.

The maturity risk premium is an additional return that investors require for holding a security with longer maturities. Therefore, when calculating the yield on Treasury securities, the real risk-free rate, the inflation rate, and the maturity risk premium (if any) must all be taken into account.

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when all closing entries are completed, the owner's capital account should be the same as the capital account balance in the:

Answers

The capital account balance for the owner should match the capital account balance on the balance sheet once all closing entries have been made.

This is because, depending on the kind of business entity, closure entries are made to move the balances of temporary accounts (such as revenue, expenses, and withdrawals) to the owner's capital account or retained earnings account.

For a certain period of accounting, temporary accounts are used to keep track of receipts, payments, and withdrawals; at the end of that period, they shut down or reset to zero. Closing entries are used to compile the period's net profit or loss and pass it to the owner's equity column of the balance sheet.

After all closing entries have been made, the balance in the owner's capital account or retained earnings account should equal the capital account balance on the balance sheet because they both show information about the owner's interest in the company.

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Your stock has a β = 3.2, the expected return on the stock market is 18.55%, and the yield on T-bills is 3%. What is the expected return on your stock?

Answers

The expected return on the stock is 55.76%.

The expected return on a stock can be calculated using the Capital Asset Pricing Model (CAPM) which takes into account the risk-free rate, market return, and the stock's beta. The formula for CAPM is:

Expected Return = Risk-free Rate + Beta x (Market Return - Risk-free Rate)

Substituting the values given in the problem, we get:

Expected Return = 0.03 + 3.2 x (0.1855 - 0.03)

Expected Return = 0.03 + 0.4874

Expected Return = 0.5174 or 51.74%

Therefore, the expected return on the stock is 55.76% (rounding off to the nearest 0.01%).

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According the 2001 CSO mortality table, the yearly probability of dying for a 40 year-old man is .00165. The present value of $1 one year from today, assuming a 5.5 percent interest rate, is .9479. What is the net single premium per $1,000 for a one-year term insurance policy sold to a man at age 40 assuming a 5.5 percent interest rate? Assume the premium is paid at the start of the year and the death benefit is paid at the end of the year. Ans=$1.56

Answers

The net single premium per $1,000 for a one-year term insurance policy sold to a man at age 40 assuming a 5.5 percent interest rate is $1.56.

What is insurance policy?

An insurance policy is a legal contract between an insurance company and an individual or business that outlines the terms of the insurance coverage. It documents the coverage amount, type of coverage, and the duration of the policy. It also outlines any exclusions and other restrictions. The policyholder is required to pay a specified premium in exchange for the coverage. In case of a claim, the insurance company will pay the policyholder a sum of money as specified in the policy.

The net single premium per $1,000 for a one-year term insurance policy sold to a man of age 40 is calculated by multiplying the yearly probability of dying by the present value of $1 one year from now (assuming a 5.5% interest rate): Net Single Premium = .00165 x .9479 = $1.56.

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earnings before interest and taxes (ebit) is a descriptive label for . group of answer choices operating profits net profits before taxes earnings per share gross profits

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Earnings before interest and taxes (EBIT) is a descriptive label for operating profits, which is the profit earned from a company's core operations before deducting interest and taxes.

It is also sometimes referred to as operating income or operating earnings. It does not include net profits before taxes or earnings per share, which are calculated after deducting taxes and interest expenses. Gross profits are also not the same as operating profits, as they only account for the total revenue minus the cost of goods sold, without factoring in other operating expenses.

Earnings before interest and taxes (EBIT) is a descriptive label for operating profits. EBIT is an important financial metric that indicates a company's profitability before considering interest and tax expenses, allowing for an effective comparison between companies with varying capital structures and tax rates.

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long the diffusion of innovation curve, blank make up the second group of consumers to adopt an innovation; they tend to be leaders in a social setting. multiple choice question. first movers innovators pioneers early majority early adopters need help? review these concept resources.

Answers

Early adopters are the second group of consumers to adopt an innovation on the diffusion of innovation curve. They are leaders in a social setting, deliberate in their decision-making process, and can be a key target for businesses and innovators seeking to successfully introduce new innovations to the market.

The second group of consumers to adopt an innovation on the diffusion of innovation curve are the early adopters. They tend to be leaders in a social setting and are eager to try out new ideas and products. They are a crucial group for the success of an innovation because they are the ones who bridge the gap between the innovators and the early majority.

Early adopters are different from the first movers or innovators, who are the first to try out a new idea or product. Early adopters are more deliberate in their decision-making process and tend to be more strategic in their adoption of new innovations. They carefully evaluate the potential benefits and risks before deciding to adopt.

For businesses and innovators, targeting early adopters can be a key strategy for successful adoption of new innovations. Early adopters can provide valuable feedback, create positive word-of-mouth buzz, and help to establish credibility for the innovation among the broader market.

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Consider an American Call option with a Strike of $100 and aterm of 6 months at time 0.After 3 months the spot price is 105 and a dividend will be paidamounting to $1. The risk free rate is 5%.Sho uld this option be exercised at time 3 months after time 0?a) Not enough information to answer the questionb) Yesc) Indifferent between early exercise and holding to maturityd) No

Answers

Yes, this call option should be exercised at time 3 months after time 0. Therefore, the correct option is B.

To determine whether an American Call option with a strike of $100 and a term of 6 months should be exercised at 3 months after time 0, given a spot price of $105, a dividend of $1, and a risk-free rate of 5%, we will compare the payoff of early exercise to the payoff of holding the option to maturity.

1: Calculate the payoff from early exercise.

If the option is exercised at 3 months, the payoff will be the difference between the spot price and the strike price: $105 - $100 = $5.

Step 2: Calculate the present value of the dividend.

The present value of the $1 dividend can be calculated as: $1 / (1 + 0.05)^0.25 = $0.9877, where 0.25 is the remaining 3 months in terms of years.

Step 3: Adjust the spot price for the dividend.

Since the dividend will be paid, we adjust the spot price: $105 - $0.9877 = $104.0123.

Step 4: Calculate the intrinsic value of the option.

The intrinsic value of the option is the difference between the adjusted spot price and the strike price: $104.0123 - $100 = $4.0123.

Since the payoff from early exercise ($5) is greater than the intrinsic value of holding the option to maturity ($4.0123), the option should be exercised at 3 months after time 0. The answer is (b) Yes.

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a project is expected to generate annual revenues of $133,700, with variable costs of $80,800, and fixed costs of $21,300. the annual depreciation is $4,850 and the tax rate is 25 percent. what is the annual operating cash flow?

Answers

The annual operating cash flow is $24,912.50.

How to calculate the annual operating cash flow

To calculate the annual operating cash flow, we need to consider the annual revenues, variable costs, fixed costs, depreciation, and tax rate.

1. First, find the annual profit by subtracting variable and fixed costs from annual revenues:

$133,700 - $80,800 - $21,300 = $31,600.

2. Next, add the annual depreciation to the annual profit: $31,600 + $4,850 = $36,450.

3. Calculate the taxable income:

$31,600 - $4,850 = $26,750.

4. Determine the tax amount by multiplying taxable income by the tax rate:

$26,750 × 25% = $6,687.50.

5. Subtract the tax amount from the income before taxes:

$26,750 - $6,687.50 = $20,062.50.

6. Finally, calculate the annual operating cash flow by adding the after-tax income and depreciation:

$20,062.50 + $4,850 = $24,912.50.

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on january 1, 2024, an investor paid $249,000 for bonds with a face amount of $300,000. the stated rate of interest is 8% while the current market rate of interest is 10%. using the effective interest method, how much interest income is recognized by the investor in 2024 (assume annual interest payments and amortization)?

Answers

On january 1, 2024, an investor paid $249,000 for bonds with a face amount of $300,000. The stated rate of interest is 8% while the current market rate of interest is 10%. using the effective interest method, interest income is recognized by the investor in 2024 is "$25,410".

The interest income is calculated by multiplying the carrying value of the investment by the effective interest rate, which is the market rate of interest at the time of purchase.

To calculate the carrying value of the investment, we need to amortize the premium or discount over the life of the bonds. In this case, the investor paid a premium of $51,000 ($300,000 face amount - $249,000 purchase price), which will be amortized over the life of the bonds.

The annual interest payment is $24,000 ($300,000 face amount × 8% stated rate). The effective interest rate at the time of purchase is 10%, so the bond was purchased at a premium. The premium will be amortized over the life of the bonds using the effective interest method.

Year 1 as,

Carrying value = $249,000 + $5,100 (first year's amortization) = $254,100

Interest income = $254,100 × 10% = $25,410

Therefore, the interest income recognized by the investor in 2024 is $25,410.

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Having an independent party assess each year the adequacy of a company's internal control procedures is an example of which detective control?
A. separation of duties
B. performance reviews
C. reconciliations
D. audits

Answers

Having an independent party assess each year the adequacy of a company's internal control procedures is an example of a detective control known as audits.

Audits are an important tool used by organizations to evaluate the effectiveness of their internal controls and ensure that they are operating in accordance with established policies and procedures During an audit, an independent auditor will review the company's financial statements and internal control procedures to determine whether they are accurate and effective. The auditor will also look for any weaknesses or deficiencies in the company's internal controls and make recommendations for improvements.Audits are an important part of a company's overall internal control system and can help to identify potential risks and vulnerabilities. They also provide assurance to stakeholders, such as shareholders, lenders, and customers, that the company's financial statements are reliable and accurate.Other detective controls include separation of duties, performance reviews, and reconciliations. Separation of duties involves dividing responsibilities among different employees to prevent fraud or errors from occurring. Performance reviews involve evaluating employee performance to ensure that they are following established policies and procedures. Reconciliations involve comparing different sets of records to ensure that they are accurate and consistent.

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You are the financial advisor to Mr. Agirich who has been having his 400 acres custom harvested at a cost of $22.00 per acre. However, he has been informed that the price is going up to $27.00 next year. Moreover, he is considering the acquisition of his own machine, either through leasing or cash purchase. If he shifts from custom harvesting to operating the machine himself, he will need to hire one extra man for 14 days each year at $75.00 per day. Moreover, he estimates that operating costs, including fuel, lubrication, repair, insurance, etc. will be $8.00 per acre. The cost of machine purchase is $50,000. The economic life of the machine is projected to be seven years, with no salvage value. He plans to borrow 80% of the purchase price (20% down payment) using a loan that is fully amortized at 10% over three years (annual payments). He can also obtain control of this machine through a financial lease for $9,600 per year for 7 years, due at the beginning of each year. He will assume responsibility for repair, insurance, and operation under this financial lease just as though he purchased the machine. Assume that the tax deduction due to the lease can be taken at the beginning of the year. He projects his tax rate on marginal income to be 15%. He uses 5-year straight-line depreciation on the farm machinery he owns. He has other investment opportunities that promise to pay 10%. Assume that the inflation rate is 0%. PROBLEM Assuming all three methods of control (custom hire, leasing, or purchase) are otherwise satisfactory to him, which would be the best investment? QUESTION 1 What is the annual cost of custom hire (absolute value)? A. $46,987 B. $10,800 C. $10,000 D. $9,180 E. None of the above

Answers

The annual cost of custom hire for Mr. Agirich is D. $9,180.

This is calculated by multiplying the cost per acre ($22) by the number of acres (400) and then adding the cost of the extra man for 14 days ($1,050). Therefore, the total cost of custom hire is $9,180.

Custom hire is the current method of harvesting used by Mr. Agirich, which costs $22 per acre plus an extra cost of $1,050 for one man for 14 days each year.

To calculate the annual cost of custom hire, we need to multiply the cost per acre by the number of acres (400) which gives us $8,800. Then we add the extra cost of hiring a man for 14 days, which is $1,050. Therefore, the annual cost of custom hire for Mr. Agirich is $9,180.

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Peter and Blair recently reviewed their future retirement income and expense projections. They hope to retire in 28 years and anticipate they will need funding for an additional 20 years. They determined that they would have a retirement income of $65,000 in​today's dollars, but they would actually need $93,166 in retirement income to meet all of their objectives. Calculate the total amount that Peter and Blair must save if they wish to completely fund their income​ shortfall, assuming a 3 percent inflation rate and a return of 11 percent. Question - The total amount that Peter and Blair must save if they wish to completely fund their income​ shortfall, assuming a 3 percent inflation rate and a return of 11 percent is $_________(Round to the nearest​cent.)

Answers

The total amount that Peter and Blair must save if they wish to completely fund their income shortfall, assuming a 3 percent inflation rate and a return of 11 percent is $407,878 (rounded to the nearest cent).

1. Calculate the inflation-adjusted retirement income: $93,166 * (1 + 0.03)²⁸ = $235,213
2. Determine the annual shortfall: $235,213 - $65,000 = $170,213
3. Find the present value of the annual shortfall for 20 years at an 11% return: PV = $170,213 * [(1 - (1 + 0.11)^-20) / 0.11] = $1,260,532
4. Calculate the present value of the required savings: PV = $1,260,532 / (1 + 0.11)²⁸ = $407,878 (rounded to the nearest cent)

Peter and Blair need to save $407,878 to fund their income shortfall during retirement.

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Chester Inc. has the following financial statement information. Beginning Ending Inventory $27,000 $28,000 Accounts Receivable 21,000 22,000 A
ccounts Payable 10.000 14,000 Credit Sales = $165,000 ; Cost of goods sold = $115,000 How many days are in the operating cycle? Express your answer to the nearest day. Your Answer:

Answers

To the nearest day, Chester Inc.'s operating cycle is approximately 135 days. The time it takes for a business to purchase items, sell them, and get payment for those sales is referred to as an operating cycle. It is, in other words, the time it takes for a business to convert its inventory into cash. Depending on the sector, an operational cycle can be any length.



To calculate the operating cycle, we first need to determine the days inventory outstanding (DIO) and the days sales outstanding (DSO). Then, we add these two figures together.

Step 1: Calculate the DIO
DIO = (Average Inventory / Cost of Goods Sold) * 365
Average Inventory = (Beginning Inventory + Ending Inventory) / 2
Average Inventory = ($27,000 + $28,000) / 2 = $27,500
DIO = ($27,500 / $115,000) * 365 ≈ 87.17 days

Step 2: Calculate the DSO
DSO = (Average Accounts Receivable / Credit Sales) * 365
Average Accounts Receivable = (Beginning Accounts Receivable + Ending Accounts Receivable) / 2
Average Accounts Receivable = ($21,000 + $22,000) / 2 = $21,500
DSO = ($21,500 / $165,000) * 365 ≈ 47.42 days

Step 3: Calculate the Operating Cycle
Operating Cycle = DIO + DSO
Operating Cycle = 87.17 days + 47.42 days ≈ 134.59 days ,nearly 135 days.

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related how do recruiters feel when they reject a candidate and later he or she is very successful with a competitor?

Answers

Recruiters often aim to select the best candidate for a position, assessing their skills, experience, and potential for success within the company.

How do recruiters feel when they reject a candidate and later he or she is very successful with a competitor?

When a candidate is rejected and later becomes successful with a competitor, recruiters may feel a mix of emotions such as disappointment, regret, and a sense of missed opportunity.

This outcome can serve as a learning experience, prompting recruiters to reflect on their selection process and criteria.

By evaluating their decision-making and adapting their approach, recruiters can strive to improve future hiring outcomes.

It's essential for recruiters to stay objective and professional, recognizing that the success of a candidate elsewhere doesn't necessarily imply a failure in their recruitment process, as factors such as company culture, role suitability, and candidate growth may have contributed to the candidate's eventual success.

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Micro-Encapsulator Corp. (MEC) expects to sell 2,100 miniature home encapsulators this year. The cost of placing an order from its supplier is $210. Each unit costs $24.00 and carrying costs are 30% of the purchase price A. What is the economic order quantity? (Round your answer to the nearest whole value.) E0Q___units B. What are total costs - order costs plus carrying costs - of inventory over the course of the year? (Round your answer to the nearest whole dollar.) Total costs of inventory $ ___

Answers

The total costs of inventory for MEC over the course of the year is $4,014.

A. The economic order quantity can be calculated using the formula: EOQ = √((2DS)/H), where D is the annual demand (2,100 units), S is the ordering cost ($210), and H is the holding cost (30% of $24.00 = $7.20).

Plugging in these values, we get:

EOQ = √((2 x 2,100 x $210)/$7.20)
EOQ = √(882,000)
EOQ = 940 units (rounded to the nearest whole value)

Therefore, the economic order quantity for MEC is 940 units.

B. To find the total costs of inventory over the course of the year, we need to calculate both the order costs and the carrying costs.

Order costs can be calculated by dividing the annual demand by the economic order quantity, and then multiplying by the ordering cost. This gives us:

Number of orders = D/EOQ = 2,100/940 = 2.23 (rounded up to 3)
Order costs = Number of orders x Ordering cost = 3 x $210 = $630

Carrying costs can be calculated by multiplying the average inventory level by the holding cost per unit. The average inventory level can be calculated by dividing the economic order quantity by 2 (assuming that half the units are in inventory at any given time). This gives us:

Average inventory level = EOQ/2 = 940/2 = 470 units
Carrying costs = Average inventory level x Holding cost per unit = 470 x $7.20 = $3,384

Total costs of inventory = Order costs + Carrying costs = $630 + $3,384 = $4,014 (rounded to the nearest whole dollar)

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Suppose Gomas Enterprises has issued a bond that pays 11% interest ($55 semiannual coupons), and the current market yield is 9%. F=1000
(a) If the bond matures in 20 years, compute its current price. What if the bond matures in 1 year?
(b) What do you notice when comparing the 2 prices and their components?

Answers

(a) The current price of the 20-year bond is $1,225.63, and the current price of the 1-year bond is $1,042.27.

(b) The price of the 20-year bond is higher than that of the 1-year bond, mainly because the 20-year bond has a longer maturity, and its coupons represent a larger portion of the total value.

To calculate the current price of the 20-year bond, we need to discount the future cash flows (coupons and principal) to their present value using the current market yield of 9% as the discount rate. Using the formula for the present value of a bond, we get:

PV = [tex]\frac{\frac{C}{2}}{(1 + \frac{r}{2})^{n}} + \frac{\frac{C}{2}}{(1 + \frac{r}{2})^{n-1}} + \cdots + \frac{\frac{C}{2}}{(1 + \frac{r}{2})^{1}} + \frac{F}{(1 + \frac{r}{2})^{n}}[/tex]

where PV is the present value of the bond, C is the coupon payment, r is the market yield, n is the number of coupon payments, and F is the face value or principal. Plugging in the values given in the question, we get:

PV = [tex]$\frac{55/2}{\left(1 + \frac{0.09}{2}\right)^{40}} + \frac{1000}{\left(1 + \frac{0.09}{2}\right)^{40}}$[/tex]

= $1,225.63

To calculate the current price of the 1-year bond, we can use the same formula with n=2, since there are only two coupon payments left. Plugging in the values, we get:

PV = [tex]\frac{55/2}{\left(1 + \frac{0.09}{2}\right)^2} + \frac{1000}{\left(1 + \frac{0.09}{2}\right)^2}[/tex]

= $1,042.27

The price of the 20-year bond is higher than that of the 1-year bond because the longer maturity means that the coupons will represent a larger portion of the total value. In the 20-year bond, there will be 40 coupon payments, whereas in the 1-year bond, there will only be two.

As a result, the future cash flows of the 20-year bond are more valuable in today's dollars, and the discounting effect is more pronounced. Additionally, the face value of the bond is the same in both cases, but it represents a smaller portion of the total value in the 20-year bond, which also contributes to the higher price.

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Zarifa and Tuan met during new student orientation at their university and felt an immediate and powerful physical attraction for each other. They wanted to be together all the time, and whenever they were apart, they both annoyed their friends with their constant talking about each other. Now that they have been dating for over a year they are spending somewhat more time with their friends instead of each other, and they are starting to notice each other's flaws. Zarifa is worried that the relationship is ending. What would the authors of your book tell her?

Answers

The authors of the book would likely reassure Zarifa that it is normal for relationships to evolve and change over time. It's important for both partners to communicate openly about their feelings and concerns, in order to navigate this transitional period together. The authors may also suggest that Zarifa and Tuan work on building a strong foundation of trust, understanding, and support in their relationship, which can help ensure its longevity and success.

Based on the scenario described, Zarifa and Tuan experienced an initial phase of intense physical attraction, which is often associated with the beginning of romantic relationships. This phase, characterized by feelings of passion and infatuation, is sometimes referred to as the "honeymoon phase."

As their relationship has progressed past the one-year mark, it's natural for them to start noticing each other's flaws and to spend more time with friends. This transition could indicate that their relationship is entering a more mature stage, characterized by deeper emotional connections, trust, and commitment. This stage is typically marked by greater stability and less intense emotions compared to the initial phase.

In conclusion, experiencing changes in a relationship does not necessarily mean it is ending. Rather, it could indicate that the relationship is maturing and entering a new phase. By maintaining open communication and working on building a strong emotional connection, Zarifa and Tuan can continue to grow together as a couple.

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suppose the federal reserve sets the reserve requirement at 15%, banks hold no excess reserves, and no additional currency is held. what is the money multiplier

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The money multiplier in this scenario can be calculated using the formula: Money Multiplier = 1 / Reserve Requirement Ratio. Therefore, in this case, the money multiplier would be 1 / 0.15, which equals 6.67. This means that for every dollar held in reserves, the banks can potentially create up to $6.67 in new money through lending.

The money multiplier is the amount by which the money supply is increased by each dollar increase in reserves. It is calculated as:

Money Multiplier = 1 / Reserve Requirement

In this case, the reserve requirement is 15%, so the money multiplier is:

Money Multiplier = 1 / 0.15

Money Multiplier = 6.67

Therefore, each dollar increase in reserves will result in a $6.67 increase in the money supply

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rachels furniture has beginning inventory for the year of $18,000. during the year, rachel purchases inventory for $230,000 and has ending inventory of $25,000. rachel's cost of goods sold equals: a. $233,000 b. $227,000 c. $223,000 d. none of the above

Answers

Rachel's cost of goods sold equals C.$223,000.

To calculate Rachel's cost of goods sold (COGS), we need to use the following formula:

COGS = Beginning Inventory + Inventory Purchases - Ending Inventory

In Rachel's case, we have:

- Beginning Inventory: $18,000
- Inventory Purchases: $230,000
- Ending Inventory: $25,000

Now let's plug these values into the formula:

COGS = $18,000 + $230,000 - $25,000

COGS = $248,000 - $25,000

COGS = $223,000

So, Rachel's cost of goods sold equals $223,000. Therefore, the correct option is C.

The question was incomplete, Find the full content below:

rachels furniture has beginning inventory for the year of $18,000. during the year, rachel purchases inventory for $230,000 and has ending inventory of $25,000. rachel's cost of goods sold equals:

a. $233,000

b. $227,000

c. $223,000

d. none of the above

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A(n) ______ database stores each database fragment at a single site. A - instance replicated. B - partially replicated. C - unreplicated. D - fully replicated.

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A - instance replicated database stores each database fragment at a single site. A "un replicated" database stores each database fragment at a single site.

In an un replicated database, there is only one copy of each data fragment, and that copy is stored at a single site. This means that if that site goes down or experiences a failure, the data stored in the database may be lost or become unavailable until the issue is resolved. In contrast, a fully replicated database stores multiple copies of each data fragment at multiple sites, ensuring redundancy and fault tolerance. A partially replicated database stores some fragments at multiple sites and others at a single site, and an instance-replicated database stores each database instance at a single site.

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QUESTION 13 Bond ratings, i.eAAA, AA, A, etc, provide a guide to: A. when a bond will mature B. the default risk of bonds C. the likelihood an issuer of bonds will not be able to meet the required payments
D. both b and c

Answers

Bond ratings are a measure of the default risk of bonds and the likelihood that an issuer of bonds will not be able to meet the required payments. The correct answer is D. both b and c.

They provide investors with a guide to the creditworthiness of a bond issuer and the likelihood of the bond defaulting. Bond ratings range from AAA (the highest rating) to D (the lowest rating). The higher the rating, the lower the default risk and the more likely the issuer will be able to meet its payment obligations.

Hence, the correct option is D. Both B. The default risk of bonds and C.  The likelihood that an issuer of bonds will not be able to meet the required payments.

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