face 2 face corporation reports 250 outstanding shares, 1,250 authorized shares, and 125 shares of treasury stock. how many shares are issued?

The International Fisher equation states that the expected exchange rate depreciation of the domestic currency is equal to the future inflation differential (foreign minus domestic inflation).(C)

The International Fisher equation is a key concept in international finance that links interest rates, exchange rates, and inflation. It suggests that the difference in nominal interest rates between two countries is equal to the expected change in their exchange rate.

The equation is derived from the Fisher effect, which states that nominal interest rates consist of a real interest rate component and an expected inflation component.

According to the International Fisher equation, if a country's expected inflation rate is higher than that of another country, its nominal interest rates will also be higher, leading to the depreciation of its currency in the foreign exchange market. This depreciation is equal to the future inflation differential (foreign minus domestic inflation).(C)

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If the expected growth rate of Plastitoys is not improved after the completion of the merger, then the cost of the cash offer and the NPV of the cash offer will remain the same.

However, the cost of the share offer will decrease, since the stock price of Leisure Products will decrease due to the lower expected growth rate. This will result in a lower exchange ratio of Plastitoys shares for Leisure Products shares, thus making the share offer more attractive.

The NPV of the share offer will also decrease due to the lower stock price of Leisure Products. Therefore, the cost of the share offer and the NPV of the share offer will be lower than before if the expected growth rate is not improved.

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your question makes sense. Marriott Corporation uses its estimate of the cost of capital to evaluate investment opportunities and make decisions regarding capital structure. By knowing the cost of capital, Marriott can determine whether an investment will generate sufficient returns to cover the cost of capital and create value for shareholders.

Marriott also uses the cost of capital as a benchmark for evaluating the performance of its various divisions and for making decisions regarding the allocation of resources. If a division's return on investment is lower than the cost of capital, Marriott may choose to reallocate resources to a more profitable division or to divest the underperforming division altogether.

Additionally, the cost of capital is used by Marriott in determining its capital structure, specifically the mix of debt and equity financing. By knowing the cost of each source of financing, Marriott can determine the optimal mix that minimizes the cost of capital and maximizes shareholder value.

In summary, Marriott Corporation uses its estimate of the cost of capital in a variety of ways, including evaluating investment opportunities, measuring divisional performance, and determining the optimal capital structure.

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(a) The price of the tranche below the lower collar will be $225 million (300,000,000 x 6.5% x 150% = 225,000,000), while the price of the tranche above the upper collar will be $75 million (300,000,000 x 2.5% x 150% = 75,000,000).

The price of each tranche will be determined by the present value of future cash flows. The tranche below the lower collar (85%) will have an expected coupon of 6.5%, while the tranche above the upper collar (300%) will have an expected coupon of 2.5%.

(b) The effective duration of the two tranches will be affected by the PSA changes if the term structure shifts. The tranche below the lower collar will have an effective duration of 8.19 years (8.19 x 12 months = 98.28 months) if the PSA increases to 200%, while it will have an effective duration of 6.75 years (6.75 x 12 months = 81 months) if the PSA decreases to 120%.

The tranche above the upper collar will have an effective duration of 4.41 years (4.41 x 12 months = 52.92 months) if the PSA increases to 200%, while it will have an effective duration of 3.55 years (3.55 x 12 months = 42.6 months) if the PSA decreases to 120%.

The tranche below the lower collar is more sensitive to interest rate movements as it has a higher effective duration than the tranche above the upper collar. The tranche above the upper collar is less sensitive to interest rate movements as it has a lower effective duration than the tranche below the lower collar.

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The effective annual rate of the car loan with a stated APR of 6.85% based on monthly compounding is 7.07%. The effective annual interest rate is the real return on an interest-paying investment when compounding over time is considered.

The effective annual rate of the car loan can be calculated using the formula: [tex](1 + APR/n)^{n - 1}[/tex], where APR is the stated annual percentage rate and n is the number of compounding periods per year. In this case, the APR is 6.85% and the loan is compounded monthly, so n = 12.

Substituting these values into the formula, we get: [tex](1 + 0.0685/12)^{12} - 1 = 0.0707 \;or \;7.07\%[/tex]. Therefore, the effective annual rate of this car loan is 7.07%.

The effective annual rate takes into account the effect of compounding on the loan over a year, providing a more accurate representation of the true cost of borrowing. It is important to consider this rate when comparing different loan offers from different lenders to ensure you are getting the best deal.

In summary, the effective annual rate of the car loan with a stated APR of 6.85% based on monthly compounding is 7.07%.

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Complete Question:

You are considering a car loan with a stated APR of 6.85% based on monthly compounding. What is the effective annual rate of this loan? Round to two decimals.

Based on the information provided, Kashmir can contribute up to 5% of her $32,000 salary, which equals $1,600 annually. Additionally, ININ will match $0.50 for every dollar contributed, which means they will contribute $800 annually. This brings Kashmir's total annual contribution to $2,400.

If Kashmir decides to invest in a Traditional 401(k) plan, she will not be taxed on the contributions or earnings until she withdraws the money at retirement age. Assuming she earns 10% annually (before tax) and remains in the 20% federal income tax bracket, Kashmir will be able to withdraw approximately $20,800 annually for 20 years.

Alternatively, if Kashmir decides to invest in a Roth 401(k) plan, she will be taxed on the contributions at her current tax rate, but will not be taxed on the earnings or withdrawals in retirement. Assuming the same rate of return and tax bracket, Kashmir will be able to withdraw approximately $18,300 annually for 20 years.

It is important to note that these calculations are based on certain assumptions and may not reflect actual market conditions or tax laws in the future. It is also important for Kashmir to consider her personal financial goals and needs before making a decision on which type of plan to invest in.

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The answer of annual payment is $9,409.28.

To calculate the annual payment, we need to first find the value of the fund at the end of year 34. This will be the present value of perpetuity that will provide the annual payment.

First, we find the future value of the 23 deposits of 1100 made at the beginning of each year for 23 years. We can use the formula for the future value of an annuity:

FV =[tex]P * ((1 + r)^n - 1) / r[/tex]

where:

P = payment amount = 1100

r = interest rate per period = 9% / 1 = 0.09

n = number of periods = 23

FV = 1100 * ((1 + 0.09[tex])^2^3[/tex] - 1) / 0.09

= 1100 * 33.87049639

= 37,257.54603

The future value of the deposits is 37,257.54603 at the end of year 23.

Next, we find the future value of the fund at the end of year 34. We can use the formula for the future value of a lump sum:

FV = [tex]PV * (1 + r)^n[/tex]

where:

PV = present value = 37,257.54603

r = interest rate per period = 9% / 1 = 0.09

n = number of periods = 11

FV = 37,257.54603 * (1 + 0.09[tex])^1^1[/tex]

= 104,547.5638

The value of the fund at the end of year 34 is 104,547.5638.

Finally, we can calculate the annual payment using the formula for the present value of a perpetuity:

PV = P / r

where:

P = payment amount (what we need to find)

r = interest rate per period = 9% / 1 = 0.09

PV = present value = 104,547.5638

P = PV * r

= 104,547.5638 * 0.09

= 9409.28374

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A registered bond is a bond that is registered with the trustee of the bond issue, which means that the owner's information is recorded with the trustee, and interest payments and principal repayment are made directly to the owner.

This is in contrast to bearer bonds, which do not have registered owners, and interest payments are made to whoever holds the physical bond certificate.

Bonds are long-term debt securities issued by corporations, municipalities, and government entities to raise capital. They are considered long-term liabilities of the issuer since they have a maturity date that extends beyond one year from the date of issuance.

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Simple interest is a type of interest that is calculated based on the principal amount of a loan or investment and the length of time for which the funds are borrowed or invested.

1. The formula for simple interest is:

I = P * r * t

where I is the interest earned, P is the principal amount, r is the interest rate per year, and t is the time in years. We can rearrange this formula to solve for P:

P = I / (r * t)

Substituting the given values, we get:

P = 4,500 / (0.0601 * 2.5)

P = 30,003.33

Therefore, the principal amount is $30,003.33.

2. The formula for simple interest is:

I = P * r * t

where I is the interest earned, P is the principal amount, r is the interest rate per year, and t is the time in years. We can rearrange this formula to solve for t:

t = I / (P * r)

Substituting the given values, we get:

t = (41,400 - 40,000) / (40,000 * 0.0402)

t = 9.2 years

Therefore, the note has to run for 9.2 years to equal $41,400.

3. The formula for simple interest is:

I = P * r * t

where I is the interest earned, P is the principal amount, r is the interest rate per year, and t is the time in years. We can rearrange this formula to solve for r:

r = I / (P * t)

Substituting the given values, we get:

r = 482 / (16,000 * 0.75)

r = 0.0403 or 4.03%

Therefore, the annual rate of interest is 4.03%.

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Possession utility is doing whatever is necessary to transfer ownership from one party to another, including providing credit, delivery, installation, guarantees, and follow-up services.

The amount of usefulness or perceived worth a consumer obtains from possessing and being able to utilise a particular product is known as possession utility. This utility's fundamental tenet is that customers need to be able to utilise a certain good or service as soon as they are able to buy it or receive it.

For instance, if the most recent iPhone is backordered by Apple and can't be produced and sent to the customer in a timely manner, the product won't be very useful to the buyer. So, it is crucial for businesses to make their products easier to own, as this raises the product's usefulness as a possession or perceived value.

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Possession utility is necessary to transfer ownership from one party to another, including providing credit, delivery, installation, guarantees, and follow-up services.

The value that is produced for consumers by giving a buyer ownership of a good or service is referred to as possession utility. This comprises all actions required to complete the transfer, such as giving credit, making a delivery, setting up an installation, offering guarantees, and providing after-sale services. One of the four forms of utility that are frequently used to describe the value produced for clients through the marketing of goods and services is possession utility. Form utility, location utility, and time utility are the other three categories of utility. Businesses may guarantee that their consumers obtain the goods or services they require and are happy with their purchasing experience by offering possession utility.

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Malcolm's response to his boss's criticism is dependent on his personality, attitude, and work ethics. However, here are some possible ways he could respond:

Apologize and take responsibility, Malcolm might say, "I'm sorry for being late. You're right, it's not acceptable, and I take full responsibility for my actions. I'll do my best to ensure that it doesn't happen again."

Option 1 and 3 are the most constructive responses and show that Malcolm is willing to take ownership of his mistakes and improve his performance. Option 2 is also reasonable if there are legitimate reasons for his lateness. Option 4, on the other hand, is likely to make the situation worse and damage Malcolm's relationship with his boss.

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The management of Hermes company can minimize risks through various strategies. These include conducting thorough risk assessments, implementing internal controls, maintaining adequate insurance coverage, fostering a strong risk management culture, and regularly monitoring and updating risk mitigation plans.

Hermes, a luxury goods company, can minimize risks through various strategies.

Firstly, they can conduct regular risk assessments to identify potential threats and vulnerabilities. This allows them to develop appropriate risk management plans and allocate resources accordingly.

Secondly, they can implement effective internal controls, such as segregation of duties, to prevent fraud or errors.

Thirdly, they can ensure compliance with laws and regulations to avoid legal and reputational risks.

Fourthly, they can implement proper training and development programs for employees to ensure they are equipped with the necessary skills to manage risks.

Fifthly, they can diversify their product lines and markets to reduce reliance on a single product or market.

Lastly, they can have crisis management plans in place to respond quickly and effectively to any unexpected events. By implementing these measures, Hermes can minimize risks and maintain its reputation as a leading luxury brand.

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! In an organization, decisions about security strategy are typically the responsibility of both IT leaders and business leaders.

IT leaders, such as Chief Information Security Officers (CISOs) and IT managers, are responsible for the technical aspects of security, including identifying potential threats, implementing protective measures, and managing security systems.

Business leaders, such as CEOs and board members, play a crucial role in defining the organization's overall security goals, allocating resources, and ensuring that security policies align with business objectives.

Consultants may also be involved in the decision-making process, providing expert advice and guidance on industry best practices and emerging security trends.

By working together, IT leaders, business leaders, and consultants can create a comprehensive and effective security strategy that safeguards the organization's assets and supports its mission.

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The hospital's corporate cost of capital is 9.5%.

To calculate the corporate cost of capital, we need to find the weighted average of the cost of debt and the cost of equity based on their respective proportions in the capital structure.

Let's start by finding the proportion of debt and equity in St. Vincent's Hospital's target capital structure:

Debt = 50%

Equity = 50%

Next, we can calculate the weighted average cost of capital (WACC) using the following formula:

WACC = (Cost of Equity x Proportion of Equity) + (Cost of Debt x Proportion of Debt)

WACC = (0.121 x 0.5) + (0.07 x 0.5)

WACC = 0.0605 + 0.035

WACC = 0.095 or 9.5%

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The rate of return on Mr. Smith's investment was approximately 3.77%.

To calculate the rate of return, we need to calculate the total cost, proceeds, and interest paid on the margin loan.

Total cost = (50 shares x $102 per share) + ($0.20 commission per share x 50 shares) = $5,140 + $10 = $5,150

Total proceeds = (50 shares x $108 per share) - ($0.20 commission per share x 50 shares) = $5,400 - $10 = $5,390

Interest paid on the margin loan = ($5,140 x 0.5 x 0.02) + ($2,570 x 0.02) = $51.40 + $51.40 = $102.80

Dividend received = $0.50 per share x 50 shares = $25

Net proceeds = total proceeds - total cost - interest paid + dividend received = $5,390 - $5,150 - $102.80 + $25 = $162.20

Rate of return = (net proceeds / total cost) x 100% = ($162.20 / $5,150) x 100% = 3.77%

Therefore, the rate of return on Mr. Smith's investment was approximately 3.77%.

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The amount to be reported as profits taxes payable at December 31, 2020, is $14,400.

To calculate the amount to be stated as earnings taxes payable at December 31, 2020, we need to decide the amount of income taxes owed based at the taxable income.

The taxable earnings is $120,000, and the effective tax rate is 20%, so the profits tax owed is:

$120,000 x 0.20 = $24,000

However, the economic profits is $168,000, which is higher than the taxable earnings because of the distinction in depreciation strategies. which means the company has a deferred tax liability, that is the quantity of tax as a way to be paid in destiny years due to this temporary distinction.

The deferred tax legal responsibility can be calculated as follows:

Deferred tax legal responsibility = (monetary earnings - Taxable income) x Tax rate

Deferred tax liability = ($168,000 - $120,000) x 0.20

Deferred tax liability = $9,600

consequently, the amount to be reported as profits taxes payable at December 31, 2020, is:

Profits taxes payable = Tax owed - Deferred tax legal responsibility

Earnings taxes payable = $24,000 - $9,600

Earnings taxes payable = $14,400

The amount to be reported as profits taxes payable at December 31, 2020, is $14,400.

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The bond equivalent yield is 4.08%.

To calculate the bond equivalent yield on a $1 million T-bill, we need to use the following formula:

BEY = (FV - PV) / PV * 365 / d

Where:

BEY is the bond equivalent yield

FV is the face value of the T-bill, which is $1,000,000

PV is the purchase price of the T-bill, which is 92.775% of the face value, or $927,750

d is the number of days to maturity, which is 126 days

Plugging in the values, we get:

BEY = ($1,000,000 - $927,750) / $927,750 * 365 / 126

BEY = 0.0408 or 4.08%

Therefore, the bond equivalent yield on a $1 million T-bill that currently sells at 92.775% of its face value and 126 days from maturity is 4.08%.

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After selling 11 shares back to the company, the investor will be left with 99 shares (110-11=99). The total value of the shares before the repurchase is $18.6 x 110 = $2046.

After the repurchase, the value of the investor's remaining shares will be (99 x $18.6) = $1841.4, rounded to 2 decimal places. The value of the cash received from the repurchase will be (11 x $18.6) = $204.6, rounded to 2 decimal places.

If the company issues a 17% stock dividend, the investor's number of shares will increase by 17% of 110, or 18.7 shares (0.17 x 110 = 18.7), rounded to the nearest whole share. The investor will then own 110 + 18.7 = 128.7 shares, which can be rounded down to 128 shares.

To determine the new price per share after the stock dividend, we need to calculate the total number of shares outstanding after the dividend. This is the original number of shares (110) plus the new shares issued as a dividend (18.7), which equals 128.7. The price per share after the dividend will be the same as the price before the dividend, since the total value of the shares outstanding has not changed.

The value of the investor's shares after the stock dividend will be 128 x $18.6 = $2380.80, rounded to 2 decimal places.

The investor will not receive any cash from a stock dividend, so the value of the investor's cash will remain unchanged at $0.

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The annual operating cash flow for the given project is $18,660. Therefore, the correct option is option 1.

It is given that a project has an annual revenues of $120,900, variable costs of $76,000, fixed costs of $16,500, annual depreciation of $4,050, and a tax rate of 40 percent.

1. Calculate the Earnings Before Interest and Taxes (EBIT):

EBIT = Revenues - Variable Costs - Fixed Costs

EBIT = $120,900 - $76,000 - $16,500

EBIT = $28,400

2. Calculate the Earnings Before Taxes (EBT):

EBT = EBIT - Depreciation

EBT = $28,400 - $4,050

EBT = $24,350

3. Calculate the Taxes:

Taxes = EBT * Tax Rate

Taxes = $24,350 * 0.4

Taxes = $9,740

4. Calculate the Net Income:

Net Income = EBT - Taxes

Net Income = $24,350 - $9,740

Net Income = $14,610

5. Calculate the annual Operating Cash Flow (OCF):

OCF = Net Income + Depreciation

OCF = $14,610 + $4,050

OCF = $18,660

So, the annual operating cash flow for this project is option 1: $18,660.

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The broad opportunity areas of accounting include A. Taxation, B. Managerial, and C. Financial. Marketing (D) is not an accounting opportunity area, as it belongs to a different business domain.

A. Taxation: Taxation is a critical aspect of accounting that involves the preparation, analysis, and management of tax-related matters for individuals, businesses, and organizations.

Tax accountants help clients navigate complex tax laws, optimize their tax positions, and ensure compliance with tax regulations. They may also provide tax planning and strategy services to help clients minimize their tax liabilities while maximizing their financial resources.

B. Managerial Accounting: Managerial accounting, also known as management accounting, focuses on providing financial information and analysis to support internal decision-making and help organizations achieve their strategic objectives.

Managerial accountants work closely with management teams to provide financial data and insights for planning, budgeting, performance measurement, and control purposes.

They may also analyze costs, revenues, and profitability, and provide recommendations to improve the financial performance and efficiency of an organization.

C. Financial Accounting: Financial accounting is the area of accounting that involves the preparation and reporting of financial information for external stakeholders, such as investors, creditors, and regulatory authorities.

Financial accountants follow generally accepted accounting principles (GAAP) to ensure the accuracy, reliability, and transparency of financial statements, such as balance sheets, income statements, and cash flow statements.

Financial accounting provides essential information for decision-making, valuation, and assessment of an organization's financial health and performance.

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Sustainability reports are comprehensive documents that provide: information about a company's sustainability practices, environmental impact, and social responsibility initiatives.

These reports generally focus on three main areas: environmental impact and labor practices, product safety, and innovation.

Firstly, sustainability reports typically provide information about a company's environmental impact and labor practices. This includes information about the company's carbon footprint, energy and water usage, waste management, and supply chain sustainability.

The report may also outline the company's efforts to reduce their environmental impact and promote sustainable practices throughout their operations.

Secondly, sustainability reports often include information about product safety. This includes information about the company's quality control processes, product testing procedures, and any recalls or safety incidents that have occurred.

This information is particularly important for customers who want to know that the products they are using are safe and reliable.

Lastly, sustainability reports may also include information about innovation. This includes information about the company's efforts to develop new products or technologies that promote sustainability, as well as their partnerships with other organizations to advance sustainable practices.

Overall, sustainability reports are an important tool for companies to communicate their commitment to sustainability and social responsibility to stakeholders.

By providing transparent and comprehensive information about their environmental impact, labor practices, product safety, and innovation efforts, companies can build trust and strengthen their reputation as responsible corporate citizens.

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Complete question:

what information do sustainability reports tend to provide?

Supply chain management is operation of the inflow of goods, related to a product or service, from the procurement to final product. It's responsive, anticipant.

The relative significance of each hand of functional information is directly related to the degree to which a force chain is deposited to serve on a responsive or anticipant base

supply chain management deals with a system of procurement, operations , logistics and marketing channels so that the raw accoutrements can be converted into a finished product and delivered to the end client.

force chain operation is vital to society, furnishing the medium for getting products into the hands of consumers, from essential masses similar as food and drug to luxury particulars.

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The budgeted materials purchases for April are $109,230

The Masterson Company's budgeted production calls for 67,000 units in April and 63,000 units in May for a key raw material costing $1.65 per unit.

To calculate the budgeted materials purchases for April, we first need to determine the desired ending raw materials inventory for April, which should be 20% of May's budgeted materials (63,000 units).

April's desired ending inventory = 0.20 * 63,000 = 12,600 units

Now, we can calculate the total materials needed for April, considering both production and the desired ending inventory:

Total materials needed = Budgeted production + Desired ending inventory - Beginning inventory

Total materials needed = 67,000 + 12,600 - 13,400

Total materials needed = 66,200 units

Finally, to find the budgeted materials purchases for April, we multiply the total materials needed by the cost per unit:

Budgeted materials purchases = 66,200 * $1.65

Budgeted materials purchases = $109,230

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Yes, business rules are essential for implementing specific activities in a particular business process. They provide guidelines and constraints for decision-making and behavior within an organization. Multiplicities refer to the number of occurrences or relationships between objects in a system, which can also be controlled through business rules. Overall, business rules help ensure consistency and efficiency in business operations.

Business rules implement specific activities for a particular business process. They ensure that the activities are carried out in a controlled manner by setting boundaries and conditions, which helps in maintaining order and consistency. When a transaction, such as a deposit, takes place, business rules provide the necessary control measures to guarantee that the deposited amount follows the predefined criteria.

Multiplicities, on the other hand, define the minimum and maximum number of occurrences of an entity in a relationship. In the context of business rules, multiplicities help to establish the correct number of instances and associations that should exist, ensuring that the process complies with the defined guidelines.

In summary, business rules implement specific activities for a particular business process by providing control and setting multiplicities, which ensure that activities such as deposits are carried out correctly and consistently.

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a. The future value of $9,000 in 4 years at an interest rate of 9% per year is $12,962.

b. The future value of $9,000 in 8 years at an interest rate of 9% per year is $18,506.

c. The future value of $9,000 in 4 years at an interest rate of 18% per year is $16,542.

d. The amount of interest earned in part (a) is less than half the amount of interest earned in part (b) because of the effect of compounding

a) To calculate the future value of $9,000 in 4 years at an interest rate of 9% per year, we can use the following formula:

FV = PV x (1 + r)^n

Where PV is the present value, r is the interest rate, and n is the number of years.

Plugging in the numbers, we get:

FV = 9,000 x (1 + 0.09)^4 = $12,744.39

Therefore, the future value of $9,000 in 4 years at an interest rate of 9% per year is $12,744.39.

b) To calculate the future value of $9,000 in 8 years at an interest rate of 9% per year, we can use the same formula:

FV = PV x (1 + r)^n

Plugging in the numbers, we get:

FV = 9,000 x (1 + 0.09)^8 = $19,402.08

Therefore, the future value of $9,000 in 8 years at an interest rate of 9% per year is $19,402.08.

c) To calculate the future value of $9,000 in 4 years at an interest rate of 18% per year, we can again use the same formula:

FV = PV x (1 + r)^n

Plugging in the numbers, we get:

FV = 9,000 x (1 + 0.18)^4 = $17,713.28

Therefore, the future value of $9,000 in 4 years at an interest rate of 18% per year is $17,713.28.

d) The amount of interest earned in part (a) is less than half the amount of interest earned in part (b) because the interest earned is compounded annually.

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The future value (FW) of the investment after four years is $2,640. So, the correct answer is option d.

To calculate the future equivalent of $2,000 invested at 8% simple interest per year for four (4) years, we can use the formula: FW = PV x (1 + i x n) Where FW is the future worth, PV is the present value (in this case, $2,000), i is the interest rate (8% or 0.08), and n is the number of years (4).

Plugging in the numbers, we get:
FW = $2,000 x (1 + 0.08 x 4)
FW = $2,000 x 1.32
FW = $2,640

Alternatively, we can also use FW = P + (P * r * t) Where: FW = future value, P = principal (initial investment), r = interest rate per year (as a decimal), t = time in years. Now, let's plug in the given values: P = $2,000, r = 8% = 0.08, t = 4 years
FW = 2000 + (2000 * 0.08 * 4)
FW = 2000 + (160 * 4)
FW = 2000 + 640. The future value (FW) of the investment after four years is $2,640. So, the correct answer is d. FW = $2,640.

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The annual percentage yield (APY) earned on Anh's savings account is 5.17%.

To calculate the annual percentage yield (APY) earned on Anh's savings account, we need to use the following formula:

[tex]APY = (1 + r/n)^n - 1[/tex]

Where r is the annual interest rate, and n is the number of times interest is compounded in a year.

First, we need to calculate the total amount of interest earned by Anh during the year. We can do this by adding up the interest earnings from each month:

10.75 million VND = (40 x 0.5%) + (25 x 0.5%) + (30 x 0.5%) + (15 x 0.5%) + (22.5 x 0.5%) + (30 x 0.5%) + (351 x 0.6%) + (42.51 x 0.6%) + (55 x 0.6%) + (601 x 0.65%) + (62.5 x 0.65%) + (30 x 0.65%)

Next, we need to calculate the average monthly balance for the year. We can do this by adding up the balances for each month and dividing by 12:

Average monthly balance = [tex](40 + 25 + 30 + 15 + 22.5 + 30 + 351 + 42.51 + 55 + 601 + 62.5 + 30) / 12 = 104.38 million VND[/tex]
Now, we can use the formula to calculate the APY:

[tex]APY = (1 + r/n)^n - 1[/tex]
[tex]10.75 million VND = (104.38 million VND x r/12)^12 - 1r = 5.17%[/tex]

This means that for every 100 million VND in Anh's account, she earned 5.17 million VND in interest over the course of the year.

In conclusion, APY is an important factor to consider when choosing a savings account, as it reflects the actual return on your investment. By using the formula above, we can calculate the APY earned on Anh's savings account based on her average monthly balance and interest earnings.

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The interest rates on 30-year Treasury and corporate bonds with different ratings, the non-callable is: 30-year Treasury bond: 7.72%. The correct option is A.


In general, Treasury bonds are considered to be the safest investment because they are backed by the full faith and credit of the U.S. government. Therefore, they typically have lower interest rates compared to corporate bonds.

Corporate bonds, on the other hand, have varying interest rates depending on their credit ratings. Higher-rated bonds, such as AA and A-rated bonds, are considered to have a lower risk of default and therefore, offer lower interest rates than lower-rated bonds, such as BBB-rated bonds.

In this scenario, the interest rate on the 30-year Treasury bond is 7.72%. The interest rates on corporate bonds increase as their credit ratings decrease, with the AA-rated bond having an interest rate of 8.72%, the A-rated bond at 9.64%, and the BBB-rated bond at 10.18%.

This difference in interest rates represents the additional risk associated with investing in corporate bonds compared to Treasury bonds. Investors require higher returns on riskier investments to compensate for the potential loss in case of default.

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Complete question:

Assume that interest rates on 30-year Treasury and corporate bonds with different ratings, all of which are non-callable, are as follows:

a. Treasury bond: 7.72%

b. Corporate bond (AA rating): 8.72%

c. Corporate bond (A rating): 9.64%

d. Corporate bond (BBB rating): 10.18%

The market believes that the stock price will be $40.34 at the end of three years.

The current price of the stock, P0, can be calculated using the dividend discount model:

P0 = D1 / (r - g)

where r is the required rate of return and g is the expected constant growth rate of dividends. We are given D1, and we can calculate r as follows:

r = rf + β (rm - rf)

= 0.032 + 0.9 * 0.06

= 0.086

So, P0 = 1.75 / (0.086 - g)

We are also given that P0 = $33.00, so we can solve for g:

33 = 1.75 / (0.086 - g)

g = 0.035

Therefore, the expected constant growth rate of dividends is 3.5%. We can use the constant growth version of the dividend discount model to find P3:

P3 = D4 / (r - g)

= D1 * (1 + g)^3 / (r - g)

= 1.75 * (1.035)^3 / (0.086 - 0.035)

= $40.34

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Markung's Co.'s cost of equity is 8.31%. Therefore, the correct option is B.

In order to calculate Markung's Co.'s cost of equity, we can use the Capital Asset Pricing Model (CAPM). The CAPM formula is as follows:

Cost of Equity = Risk-free rate + (Beta * (Market return - Risk-free rate))

Given the information provided:
Beta = 1.65
Risk-free rate = 5.5%
Market return = 7.2%

Let's plug the values into the CAPM formula:

Cost of Equity = 5.5% + (1.65 * (7.2% - 5.5%))

Cost of Equity = 5.5% + (1.65 * 1.7%)

Cost of Equity = 5.5% + 2.805%

Cost of Equity = 8.31%

So, cost of equity is 8.31% which corresponds to option B.

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