You begin with $100,000 in cash and want to borrow another $100,000 by issuing a coupon bond. You plan to invest the first $100,000 in a two year zero-coupon bond, and the second $100,000 in a four year zero-coupon bond. What should the duration of the coupon bond you issue be so that your portfolio has a Macaulay duration of zero?

Answers

Answer 1

The duration of the coupon bond should be -3 years shorter than the duration of the portfolio.

What is the duration of the coupon bond?

To determine the duration of the coupon bond you need to issue, you need to consider the durations of the two zero-coupon bonds you plan to invest in. The duration of a zero-coupon bond is equal to its time to maturity.

The two-year zero-coupon bond has a duration of 2 years, and the four-year zero-coupon bond has a duration of 4 years. To have a portfolio with a Macaulay duration of zero, the weighted average duration of the portfolio must be zero.

Therefore, you need to find the weights of the two zero-coupon bonds in your portfolio. Since you plan to invest $100,000 in each bond, the weights will be 0.5 for both bonds.

To calculate the weighted average duration, you can use the formula:

Weighted average duration = (weight of first bond x duration of first bond) + (weight of second bond x duration of second bond)

= (0.5 x 2) + (0.5 x 4)

= 3

So, to have a portfolio with a Macaulay duration of zero, the duration of the coupon bond you issue must be -3. This means that the coupon bond should have a duration of 3 years shorter than the duration of the portfolio.

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Related Questions

g any system of performance compensation: a. should motivate desired actions b. may encourage unethical behavior c. needs compensating accounting controls to detect and prevent fraud d. all of the above answers are correct e. none of the above answers is correct

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The correct answer is (d) all of the above answers are correct. A system of performance compensation should motivate desired actions, but it may also have unintended consequences, such as encouraging unethical behavior.

Therefore, compensating accounting controls are necessary to ensure that the system operates with integrity and does not incentivize unethical behavior.

Compensating accounting controls are necessary to detect and prevent fraud, ensuring that the system operates with integrity and does not incentivize unethical behavior. These controls may include regular audits, internal controls, and performance monitoring, among others.

However, such a system may also encourage unethical behavior, as individuals may resort to fraudulent or unethical practices to achieve their targets.

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tcpa regulation, lead gen advertiser tend to shift to lead-to-sales, lead-to-installation. why? how does it works

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The TCPA (Telephone Consumer Protection Act) regulation has strict rules regarding the use of automated phone calls, text messages, and faxes for marketing purposes. This has led lead generation advertisers to shift their focus to lead-to-sales and lead-to-installation strategies.

TCPA (Telephone Consumer Protection Act) regulations are in place to protect consumers from unwanted telemarketing calls, faxes, and text messages.

Because of these regulations, lead gen advertisers have shifted their focus from generating leads solely for marketing purposes to generating leads for sales and installation. In lead-to-sales, advertisers focus on generating leads that are more likely to convert into sales. This means they may target specific demographics or use more personalized messaging to increase the chances of a sale. In lead-to-installation, advertisers focus on generating leads for products or services that require installation, such as home security systems or solar panels. This can lead to higher quality leads that are more likely to result in a sale.Overall, these strategies work by targeting more specific audiences and tailoring the messaging to their needs and interests. By doing so, advertisers can increase the likelihood of a sale and comply with TCPA regulations.
This shift to lead-to-sales and lead-to-installation works by focusing on acquiring customers who are more likely to make a purchase or request installation services. This allows advertisers to focus their efforts on high-quality leads that are more likely to convert, ultimately improving their return on investment.

In summary, lead gen advertisers are shifting to lead-to-sales and lead-to-installation strategies due to TCPA regulations to ensure compliance and improve their targeting of high-quality leads, which results in a better return on investment.

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Fred invests 1200 at a nominal rate of 4.8% compounded monthly. After one year, his balance is X. Jane invests 1200 at a nominal rate of 4.8% compounded annually. After one year, her balance is Y. Sam invests 1200 at a continuous force of interest of 4.8%. After one year, his balance is Z. Which of the following is true?
a. X < Y < Z
b. Z < X < Y
c. Z < Y < X
d. Y < X < Z
e. Y < Z < X

Answers

Compound interest is the interest earned on both the principal amount and any previously accumulated interest on a sum of money.

The correct answer is option e. Y < Z < X. The formula for compound interest is:A = P(1 + r/n)^(nt)
Where:
A = final amount
P = principal amount
r = nominal annual interest rate (as a decimal)
n = number of times the interest is compounded per year
t = time (in years)

For Fred:
P = $1200
r = 4.8% = 0.048
n = 12 (monthly compounding)
t = 1

Using the formula, we get:
X = 1200(1 + 0.048/12)^(12*1)
X = $1270.06

For Jane:
P = $1200
r = 4.8% = 0.048
n = 1 (annual compounding)
t = 1

Using the formula, we get:
Y = 1200(1 + 0.048/1)^(1*1)
Y = $1257.60

For Sam:
P = $1200
r = 4.8% = 0.048
n = continuous compounding
t = 1

Using the formula, we get:
Z = 1200e^(0.048*1)
Z = $1258.96

Therefore, the order of balances from lowest to highest is:
Y < Z < X

So the correct answer is option e. Y < Z < X.

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A portfolio consists of the following two investments:
a bond with face value of $100.00 paying annual coupons of 9% maturing in 5 years
an annuity with payments of $40.00 at the end of each year for 5 years
The portfolio is comprised of 46% bonds and 54% annuities.
The term structure is flat and the current yield is 12% pa effective.
Calculate the duration (D) of the portfolio. Give your answer to 2 decimal places.
D = ______ years

Answers

The duration of the portfolio is 3.57 years.

To calculate the duration of the portfolio, we can use the following formula:

D = w1D1 + w2D2

where w1 and w2 are the weights of the bond and annuity in the portfolio, and D1 and D2 are the durations of the bond and annuity, respectively.

First, let's calculate the duration of the bond. Since the term structure is flat, the yield to maturity is equal to the current yield of 12%. Using the formula for the duration of a bond, we get:

D1 = (1 + y) * [ (1 - (1 + y)) / y ] - n * [ (1 + y) ]

where y is the annual yield to maturity, n is the number of years to maturity, and D1 is the duration of the bond.

Plugging in the values, we get:

D1 = (1 + 0.12) * [ (1 - (1 + 0.12) / 0.12 ] - 5 * [ (1 + 0.12) ]

= 3.87 years (rounded to 2 decimal places)

Next, let's calculate the duration of the annuity. Since the payments are made at the end of each year, we can use the formula for the duration of an annuity due and subtract 1 to get the duration of the annuity:

D2 = [ (1 + r) * (1 - (1 + r)) / r ] - 1

where r is the discount rate, n is the number of years, and D2 is the duration of the annuity.

Plugging in the values, we get:

D2 = [ (1 + 0.12) * (1 - (1 + 0.12)^(-5)) / 0.12 ] - 1

= 3.37 years (rounded to 2 decimal places)

Finally, we can calculate the duration of the portfolio by weighting the durations of the bond and annuity by their respective weights:

D = 0.46 * 3.87 + 0.54 * 3.37

= 3.57 years (rounded to 2 decimal places)

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Paola has little choice in how to accomplish her work tasks—her company employs strict process control.
-Skill variety
-Task Significance
-Task Identity
-Feedback
-Autonomy

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Paola's work situation involves strict process control, which means her autonomy is limited. This can affect her skill variety, as she may not have the opportunity to use a diverse range of skills.

Autonomy refers to the degree to which an employee has control over how they perform their work tasks. If Paola's company employs strict process control, she likely has little choice in how to accomplish her work tasks, which suggests a low level of autonomy.Skill variety refers to the degree to which a job requires a variety of different skills and abilities. Task significance refers to the degree to which a job has a meaningful impact on the lives or work of others. Task identity refers to the degree to which a job involves completing a whole, identifiable piece of work. Feedback refers to the degree to which employees receive clear and direct feedback on the effectiveness of their performance.Based on the information provided, it is not clear whether Paola's job involves high or low levels of skill variety, task significance, task identity, or feedback.

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The demand function for an imported vegetable is QD = 212 – 20P. The supply function is QS = 20 + 4P

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The equilibrium price is $12 per unit and the equilibrium quantity is 52 units. This is because at the equilibrium price of $12, the quantity demanded and the quantity supplied is equal to 52 units.

To find the equilibrium price and quantity, we need to set the quantity demanded equal to the quantity supplied and solve for the price.

QD = QS

212 - 20P = 20 + 4P

212 - 20P - 4P = 20

192 - 16P = 0

16P = 192

P = 12

So the equilibrium price is $12 per unit.

To find the equilibrium quantity, we substitute the equilibrium price into either the demand or supply equation and solve for the quantity.

QD = 212 - 20P

QD = 212 - 20(12)

QD = 52

Therefore, the equilibrium quantity is 52 units.

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The complete question is:

The demand function for an imported vegetable is QD = 212 - 20P. The supply function is QS = 20 + 4P. What is the equilibrium price and quantity?

boards of directors have responded to financial crises, corporate scandals, regulator obligations, and investor requests for structural changes. in the 2011 harvard business review study of the changes in configuration of boards since 1987, which change has been brought about by government legislation? group of answer choices percentage of boards that have an average age of 64 or older has increased. average pay for directors has increased. percentage of boards with 12 or fewer members has increased. percentage of the directors that are independent has increased.

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According to the 2011 Harvard Business Review study, the change in configuration of boards that has been brought about by government legislation is the increase in the percentage of directors that are independent.

What's the change in configuration of boards

The change was likely a response to financial crises and corporate scandals, as regulators and investors called for greater transparency and accountability in corporate governance.

Independent directors are those who do not have any affiliations or relationships with the company or its executives, and are therefore more likely to provide unbiased oversight and hold management accountable.

The increase in independent directors on boards is a positive development for corporate governance, as it helps to ensure that boards are able to effectively oversee the company's strategy, risk management, and financial performance.

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the process of moving strawberries, blackberries, and raspberries from portland fresh and ready farms to the farmer's market where customers will purchase them, is a marketing activity called

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The process of moving strawberries, blackberries, and raspberries from Portland Fresh and Ready Farms to the farmer's market where customers will purchase them is a marketing activity called "distribution."

Distribution is a critical marketing activity that involves moving products from the manufacturer or producer to the end customer. In this case, the strawberries, blackberries, and raspberries are being transported from the farm to the farmer's market, where they will be sold directly to customers.

Effective distribution is important because it ensures that products are available in the right place at the right time, and in the right quantities. This can help to maximize sales and customer satisfaction while minimizing waste and inefficiency.

In the case of fresh produce like strawberries, blackberries, and raspberries, efficient and timely distribution is particularly important to ensure that the products arrive at their destination in good condition and are available for customers to purchase when they want them.

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You find PBB Corp's 2.9% bonds at a price quote of ($)97.3 on the finra.org website. The bond pays semiannually and matures 6 months from now. How many the bond's YTM is _____%.

Answers

The bond's Yield To Maturity (YTM) is 3.91%.


To calculate the bond's YTM, we can use the bond pricing formula, which is:

[tex]PV = C / (1+r)^{(1/2)} + C / (1+r)^{(2/2)} + ... + C / (1+r)^{(n-1/2)} + FV / (1+r)^{(n/2)}[/tex]

where PV is the present value, r is the yield to maturity, n is the number of periods to maturity, C is the coupon payment, and FV is the face value of the bond.

Substituting the given values, we get:

[tex]97.3 = 2.9 / (1+r/2)^{(1/2)} + 2.9 / (1+r/2)^{(1)} + 100 / (1+r/2)^{(1)[/tex]

Simplifying the equation, we get:

[tex]0.029 / (1+r/2)^{(1/2)} + 0.029 / (1+r/2) + 100 / (1+r/2) = 97.3[/tex]

Using a financial calculator or a spreadsheet, we can find that the bond's YTM is 3.91%.

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gatorade is a well-known drink brand that almost every active person is familiar with, whether you are a professional athlete, hiker, or regular at the gym. the best distribution strategy for this product would be multiple choice intensive. specialized. selective. multichannel. exclusive.

Answers

The best distribution strategy for Gatorade would be a multichannel approach to reach a wide range of customers.

The target market for Gatorade comprises physically active people who need energy and hydration while exercising. The ideal strategy for this brand would be a multichannel distribution plan. Reaching as many clients as possible entails using a variety of distribution channels, including supermarkets, convenience shops, vending machines, internet merchants, and direct selling.

Gatorade can easily access its product by employing a multichannel strategy, which is crucial for a company that caters to consumers who need to keep hydrated and energised while on the road.

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A retailer received a written firm offer signed by a supplier. The offer committed the supplier to providing the retailer with up to 10,000 tubes of toothpaste over the next 45 days at $1 a tube. Thirty days later, the supplier informed the retailer that the price per tube of toothpaste would be $1.10. The next day the retailer ordered 6,000 tubes of toothpaste from the supplier, which the supplier promptly shipped. Sixty days after the receipt of the offer, the retailer ordered another 4,000 tubes of toothpaste, which the supplier also promptly shipped.
What price is the supplier permitted to charge the retailer for the toothpaste?

Answers

The supplier is permitted to charge the retailer $1 per tube of toothpaste for all 10,000 tubes that were ordered by the retailer within the 45-day time frame of the original offer.

The supplier is permitted to charge the retailer $1 per tube of toothpaste for the first 10,000 tubes. This is because the offer committed the supplier to providing the retailer with up to 10,000 tubes of toothpaste over the next 45 days at $1 a tube, and the retailer ordered a total of 10,000 tubes within that time frame.

However, the supplier is not permitted to charge the retailer $1.10 per tube of toothpaste, as they informed the retailer of this price increase after the retailer had already placed an order for 6,000 tubes at the original price of $1 per tube. Therefore, the supplier must honor the original price of $1 per tube for the remaining 4,000 tubes that the retailer ordered.

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big board makes high-end custom surfboards and gets new clients primarily by word of mouth. the small company has a few sample surfboards in stock, but it mostly customizes its products to customer specifications. the best supply chain strategy for big board is the strategy, which enables businesses to .

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Based on the information provided, the best supply chain strategy for Big Board would be a flexible supply chain strategy that enables the company to quickly respond to the changing demands of its customers.

Since Big Board primarily customizes its surfboards to meet customer specifications, a flexible supply chain strategy would enable the company to quickly and efficiently adapt to changes in customer demand. This could involve maintaining close relationships with suppliers who can provide the necessary materials and components for custom surfboards, as well as utilizing a streamlined production process that can easily incorporate new designs and specifications.

Furthermore, since Big Board relies heavily on word-of-mouth referrals to attract new customers, a flexible supply chain strategy can also help the company maintain a positive reputation by consistently delivering high-quality, custom surfboards that meet the unique needs and preferences of its customers.

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On her 18th birthday, Riley deposits $9,000 per year into a retirement account with an estimated 9.5% rate of return. She will stop making deposits after her 61st birthday (i.e., she will make her final deposit on her 61st birthday), and her investment will continue to grow until she retires at age 75. Assuming her deposits occur at the beginning of each year, how much money will Riley have in her retirement account on her 75th birthday?

Answers

Riley will have approximately $3,086,367.19 in her retirement account on her 75th birthday.

Based on the given information, Riley will make 44 deposits into her retirement account, starting on her 18th birthday and ending on her 61st birthday. Each deposit is $9,000, so the total amount of money she will deposit into her account is:

44 deposits x $9,000 per deposit = $396,000

Assuming an estimated 9.5% rate of return, her investment will grow each year. To calculate how much money she will have in her retirement account on her 75th birthday, we need to use the formula for the future value of an annuity:

FV = Pmt x (((1 + r)^n - 1) / r)

Where:
- FV is the future value of the annuity
- Pmt is the amount of the regular payments (in this case, $9,000 per year)
- r is the annual interest rate (9.5%)
- n is the number of periods (in this case, 57, since she will make her final deposit on her 61st birthday and retire at age 75)

Plugging in the numbers:

FV = $9,000 x (((1 + 0.095)^57 - 1) / 0.095) = $3,086,367.19
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You receive a 3-year $14,000 loan with an interest rate of 13% p.a., to be repaid in three annual installments. The loan requires that you make two equal total payments of $3,000 at t = 1 and t = 2, with the remaining loan balance paid at maturity. What is the total payment amount at t = 3, rounded to the nearest dollar?

Answers

The total payment amount at t=3 is $0.

To calculate the total payment amount at t=3, we first need to find the remaining loan balance at the end of t=2.

At t=1, you make two equal total payments of $3,000, so $6,000 is paid off the loan. The interest charged for the first year is 13% of the original loan amount, which is $1,820. Therefore, the remaining loan balance at the end of t=1 is:

$14,000 - $6,000 - $1,820 = $6,180

At t=2, you make two equal total payments of $3,000, so another $6,000 is paid off the loan. The interest charged for the second year is 13% of the remaining loan balance at the end of t=1, which is $801.40. Therefore, the remaining loan balance at the end of t=2 is:

$6,180 - $6,000 - $801.40 = $-621.40

Since the remaining balance is negative, it means that you have overpaid the loan and there is no payment required at t=3.

Therefore, the total payment amount at t=3 is $0.

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price reductions offered on products and services to stimulate demand during off-peak seasons are referred to as

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Price reductions offered on products and services to stimulate demand during off-peak seasons are referred to as seasonal discounts.


Seasonal discounts are a common marketing strategy used by businesses to boost sales and generate more revenue during periods when demand for their products or services is typically low. By offering these price reductions, companies aim to attract customers who may be hesitant to make a purchase due to budget constraints or lack of interest. The reduced prices can also incentivize consumers to try out new products or services they might not have considered otherwise.


To implement seasonal discounts, businesses first identify their off-peak seasons, which may vary depending on the industry and location. For example, a ski resort may offer discounted rates during the summer months, while a clothing retailer might provide lower prices for winter apparel in the spring.


Once the off-peak season has been identified, businesses determine the appropriate discount rates and promotions to offer. These could include percentage discounts, fixed-price reductions, or bundle deals that encourage consumers to purchase multiple items or services at a discounted rate.


To ensure the success of the seasonal discounts, businesses must effectively communicate their promotions to potential customers. This can be done through various marketing channels, such as social media, email campaigns, and in-store advertisements.



In conclusion, seasonal discounts are a strategic way for businesses to stimulate demand during off-peak seasons by offering price reductions on their products and services. By identifying the right times to implement these discounts and promoting them effectively, companies can attract more customers, increase sales, and maintain a steady revenue stream throughout the year.

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2. Using formula: If your credit card says 28% interest compounded monthly, what is the effective interest rate? (4 marks)

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To calculate the effective interest rate, we need to take into account the compounding period. In this case, the interest is compounded monthly.

The formula for calculating the effective interest rate is:

Effective Interest Rate = (1 + (nominal interest rate/number of compounding periods))^number of compounding periods - 1

Using this formula, we can calculate the effective interest rate as follows:

Effective Interest Rate = (1 + (0.28/12))^12 - 1
= 0.3068 or 30.68%

Therefore, the effective interest rate for a credit card with a nominal interest rate of 28% compounded monthly is 30.68%.

Surveys on counselor usage of assessment instruments (e.g., Ekstrom, Elmore, Schafer, Trotter, & Webster, 2004)indicate that:

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Based on surveys on counselor usage of assessment instruments, such as Ekstrom, Elmore, Schafer, Trotter, and Webster (2004), it has been found that counselors widely use these tools in their practice.

These instruments are often utilized to gather important information about clients' backgrounds, personalities, behaviors, and mental health concerns. This data can be used to develop treatment plans and interventions that are tailored to the specific needs of each individual client.

However, it is important to note that the usage of assessment instruments should be done in an ethical and responsible manner.

Counselors should be trained and educated on the appropriate use and interpretation of these tools, and should also take into account cultural considerations and the potential for bias in the assessment process.

Overall, surveys indicate that the use of assessment instruments is a valuable tool for counselors in their practice, as long as they are used in a responsible and culturally sensitive manner.

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the debts that rhonda's company will repay within the next _____ are considered to be current debt.

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The debts that Rhonda's company will repay within the next "12 months" are considered to be current debt.

Current debt is the term of short-term debt that must be repaid within a year and it is typically listed as a current liability on the balance sheet.

There are many examples that reflect current debt like current debt include accounts payable, short-term loans, and credit card balances. There are four types of debt like secured debt, unsecured debt, revolving debt and mortgages.

Therefore, the the debts that Rhonda's company will repay within the next one year or 12 months are considered to be current debt.

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Your client wants to prepay $15 million in notes, which bear interest at a fixed rate of 7.5% per annum, payable quarterly. The notes do not provide for any payments of principal other than at maturity and there are 27 months until maturity. The Note Purchase Agreement provides for the payment of a "Make-Whole Amount" in the vent of prepayment of principal. This is an amount, not less than zero, which is the amount by which (i) the present value of all remaining payments of principal and interest that would be due with regard to the amount of principal that is be prepaid, discounted to the present date by a "Reinvestment Yield," exceeds (ii) the amount of principal that is being prepaid. The "Reinvestment Yield" is equal to the sum of (a) 75 basis points plus (y) the yield to maturity implied by the U.S. Treasury yields for the remaining contractual term of the principal being paid. The current implied US Treasury yield for obligations with 27 months remaining in their term is 2.45%.What is the applicable Make-Whole Amount that is due in connection with the prepayment? Show the Excel formula you used to compute the answer.

Answers

The applicable Make-Whole Amount that is due in connection with the prepayment is $1,316,485.95.

The Excel formula used to compute this is: =max(0, (PV((0.075/4), 274, -15000000)(0.0245+0.0075/4+1)-15000000))

To calculate the Make-Whole Amount, we need to find the present value of all remaining payments of principal and interest that would be due with regard to the amount of principal that is to be prepaid, discounted to the present date by a "Reinvestment Yield," and then subtract the amount of principal being prepaid.

First, we calculate the Reinvestment Yield, which is equal to the sum of (a) 75 basis points plus (b) the yield to maturity implied by the U.S. Treasury yields for the remaining contractual term of the principal being paid.

So, the Reinvestment Yield is:

= 0.0245 + 0.0075/4

= 0.026875

Next, we calculate the present value of all remaining payments of principal and interest using the PV function in Excel:

PV((0.075/4), 274, -15000000) = $15,869,334

Finally, we calculate the Make-Whole Amount by multiplying the present value by the Reinvestment Yield plus 1, and then subtracting the amount of principal being prepaid:

= 15,869,334 (0.026875 + 1) - 15,000,000

= $1,316,485.95

Since the Make-Whole Amount cannot be less than zero, the final formula used in Excel is =max(0, (PV((0.075/4), 274, -15000000)(0.0245+0.0075/4+1)-15000000)).

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a firm has a capital structure of 40 percent common stock, 10 percent preferred stock, and 50 percent debt. a new project is being funded with $40,000 of debt and $30,000 of common stock. what weight should be used for equity in the project wacc?

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A company's capital structure consists of 40% common stock, 10% preferred stock, and 50% debt. The weight of equity in the project WACC is 17.14%.

To calculate the weighted average cost of capital (WACC) for a new project, we need to determine the appropriate weights for each component of the firm's capital structure. In this case, the firm's capital structure consists of 40% common stock, 10% preferred stock, and 50% debt.

To calculate the weight of equity in the project, we need to first calculate the total amount of equity in the firm. The firm has $30,000 of common stock, which represents 40% of the firm's capital structure. We can use this information to calculate the total amount of equity in the firm as follows:

Total equity = Common stock / % of capital structure

Total equity = $30,000 / 0.4

Total equity = $75,000

Now that we know the total amount of equity in the firm, we can calculate the weight of equity in the project. The weight of equity is calculated as the proportion of the project that is funded with equity, multiplied by the proportion of equity in the firm's capital structure. In this case, the project is funded with $30,000 of common stock, and the total project cost is $70,000 ($30,000 of equity and $40,000 of debt). Therefore, the weight of equity in the project is:

Weight of equity = (Equity portion of project / Total project cost) x % of the equity in capital structure

Weight of equity = ($30,000 / $70,000) x 0.4

Weight of equity = 0.1714 or 17.14%

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Some employers try to curb the dangerous use of _________ and ________ in the workplace by testing employees.
drugs alcohol

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Some employers try to curb the dangerous use of drugs and alcohol in the workplace by testing employees.

To reduce the risks associated with drugs and alcohol, employers may implement testing programs. These programs often involve random or pre-employment drug and alcohol tests, which help identify employees who may be under the influence while on the job.

By detecting substance abuse, employers can take necessary action to maintain a safe and productive work environment. Testing also serves as a deterrent, encouraging employees to remain sober and drug-free at work.

In addition, these programs may provide support and resources for employees struggling with addiction, ultimately promoting overall workplace safety and well-being.

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Assume PATS PENS has a required rate of return of 11% and the following expected future dividends:
D1=2
D2=2.4
D3=4
D4=4(1+1.7%)
D5=4(1+1.7%)^2 and so on...
Price the current value of the stock given the future expecred dividends
(Please write in decimal format using 5 decimal places, do not use the $ symbol)

Answers

The current value of the stock, given the expected future dividends, is approximately 12.56586.

How to calculate the current value of the stock

To find the current value of the stock given the expected future dividends, we will use the Dividend Discount Model (DDM).

The formula is as follows:

P0 = (D1 / (1 + r)^1) + (D2 / (1 + r)^2) + (D3 / (1 + r)^3) + ...

Where P0 is the current stock price, Dn is the dividend at year n, and r is the required rate of return.

Given the data:

D1 = 2

D2 = 2.4

D3 = 4

D4 = 4(1 + 1.7%)

D5 = 4(1 + 1.7%)^2

r = 11%

We can now calculate the current stock price:

P0 = (2 / (1 + 0.11)^1) + (2.4 / (1 + 0.11)^2) + (4 / (1 + 0.11)^3) + (4(1.017) / (1 + 0.11)^4) + (4(1.017)^2 / (1 + 0.11)^5) + ...

After calculating the first 5 terms, we get:

P0 = 1.80180 + 1.94483 + 2.88353 + 2.93971 + 2.99579

Adding these terms, we get:

P0 = 12.56586

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You have $45,589.25 in a brokerage account, and you plan to deposit an additional $5,000 at the end of every future year until your account totals $280,000. You expect to earn 10% annually on the account. How many years will it take to reach your goal? Do not round intermediate calculations. Round your answer to the nearest whole number.

Answers

It will take approximately 19 years (rounded to the nearest whole number) to reach the goal of $280,000 in the account.

How to find the years will it take to reach the goal of $280,000 in a brokerage account with a deposit of $5,000 per year and an interest rate of 10%?

We can use the formula for the future value of an annuity to solve this problem:

[tex]FV = PMT x [(1 + r)^n - 1]/r[/tex]

where FV is the future value, PMT is the payment per period, r is the interest rate per period, and n is the number of periods.

In this case, we have:

PMT = $5,000

r = 10% = 0.1

FV = $280,000 - $45,589.25 = $234,410.75

Substituting these values into the formula, we get:

[tex]$234,410.75 =[/tex] [tex]$5,000 x [(1 + 0.1)^n - 1]/0.1[/tex]

Simplifying the equation, we get:

[tex](1.1)^n = 1 + $234,410.75/$5,000 x 0.1[/tex]

[tex](1.1)^n = 48.88215[/tex]

Taking the natural logarithm of both sides, we get:

n ln(1.1) = ln(48.88215)

n = ln(48.88215) / ln(1.1)

n = 18.74

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Royal, Inc., is considering a change in its cash-only sales policy. The new terms of sale would be net one month. The required return is 64 percent per month. Current Policy New Policy Price per unit $ 780 $ 780Cost per unit $ 570 $ 570 Unit sales per month 840 890Calculate the NPV of the decision to switch. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) NPV $_______

Answers

The NPV of switching from the current cash-only sales policy to the new net one-month policy is -$84,787.80.

How to calculate the net present value (NPV) for a company?

To calculate the NPV of the decision to switch from the current cash-only sales policy to the new net one-month policy, we need to compare the present value of the cash inflows and outflows associated with each policy.

Under the current policy, Royal, Inc., receives cash of $780 per unit sold, and incurs a cost of $570 per unit sold. Therefore, the cash inflow per unit is $780 - $570 = $210. Multiplying this by the number of units sold per month (840), we get a total monthly cash inflow of $176,400.

Under the new policy, Royal, Inc., will receive cash of $780 per unit sold one month after the sale, and will continue to incur a cost of $570 per unit sold at the time of sale.

Therefore, the cash inflow per unit under the new policy is $0 in the first month and $780 in the second month. Multiplying the number of units sold per month (890) by the second-month cash inflow per unit ($780), we get a total monthly cash inflow of $695,400 in the second month.

However, we need to discount this amount back to present value using the required return of 64% per month.

Therefore, the present value of the second-month cash inflow is:

PV = $695,400 / (1 + 0.64) = $422,512.20

The net cash outflow under the new policy is the cost of goods sold ($570) multiplied by the number of units sold per month (890) in the first month. Therefore, the net cash outflow is:

$570 × 890 = $507,300

The NPV of the decision to switch to the new policy is the present value of the second-month cash inflow minus the net cash outflow in the first month:

NPV = PV of second-month cash inflow - net cash outflow in first month

NPV = $422,512.20 - $507,300

NPV = -$84,787.80

Therefore, the NPV of the decision to switch to the new policy is -$84,787.80. This suggests that switching to the new policy is not a profitable decision for the company.    

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which of the following is the best strategy to make sure people who are participating remotely in a video call are included in the meeting?responsesturn the speaker volume up high so that participants can hear the meeting betterturn the speaker volume up high so that participants can hear the meeting betterturn off the phone microphone to avoid feedbackturn off the phone microphone to avoid feedbackaim the camera at an angle that has a view of everyone present in the room

Answers

The best strategy to make sure people who are participating remotely in a video call are included in the meeting is to D) aim the camera at an angle that has a view of everyone present in the room.

Turning up the speaker volume or turning off the phone microphone can create audio problems such as feedback or not being able to hear participants clearly.

On the other hand, aiming the camera at an angle that captures everyone in the room ensures that remote participants can see and hear everyone present, making them feel included and engaged in the meeting. It also allows them to read body language and other nonverbal cues, which can be important in communication.

Overall, ensuring remote participants are included in the meeting helps to promote effective communication and collaboration among all participants and D is correct option.

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BL Corporation, located in the United States, has an accounts payable obligation of ¥1750 million payable in six months to a bank in Tokyo. The current spot rate is ¥118/$1.00 and the six month forward rate is ¥109/$1.00. The annual interest rate is 3 percent in Japan and 6 percent in the United States. What is the future dollar cost of meeting this obligation using the money market hedge
a. $14,646,802 b. $7,323,401 c. $15,304,332 d. $15,044,936

Answers

The future dollar cost of meeting this obligation using the money market hedge is $15,044,936 (D).

To determine the future dollar cost of meeting this obligation using a money market hedge, we can use the following steps:

Calculate the yen amount of the accounts payable obligation: ¥1750 million.

Convert the yen amount to dollars using the current spot rate: $14,830,508 ($1 = ¥118).

Calculate the six-month interest rate differential between the US and Japan:

US rate - Japan rate = 6% - 3% = 3% per annum

Calculate the forward discount on the yen:

Forward discount = (Forward rate - Spot rate) / Spot rate

= (¥109/$1 - ¥118/$1) / ¥118/$1

= -7.63%

Calculate the forward exchange rate that will be used to convert dollars to yen in six months:

Forward rate = Spot rate x (1 + Japan rate x time) / (1 + US rate x time)

= ¥118/$1 x (1 + 3% x 0.5) / (1 + 6% x 0.5)

= ¥109/$1

Determine the amount of yen that can be obtained in six months using a money market hedge:

Yen amount = $14,830,508 / ¥109/$1 = ¥161,932,203

Calculate the future dollar cost of meeting the obligation using the money market hedge:

Future dollar cost = Yen amount x Forward rate

= ¥161,932,203 x ¥109/$1

= $15,044,936.

Therefore, the future dollar cost of meeting this obligation using the money market hedge is $15,044,936 ( D).

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a client is taking tolcapone for parkinson's disease. what blood test will the nurse perform often on this client?

Answers

The nurse will likely perform regular liver function tests on the client taking tolcapone for Parkinson's disease.

These tests measure the levels of certain enzymes and proteins in the blood that indicate how well the liver is working. Elevated levels of these enzymes and proteins can indicate liver damage. It is important to monitor these levels as tolcapone has been known to cause liver damage in some people.

The nurse may also test for creatine kinase levels, which can also be elevated due to tolcapone use. Other tests such as complete blood count, blood urea nitrogen, and creatinine levels may also be performed to monitor for any abnormal changes in the blood that may be caused by tolcapone. Regular monitoring of these tests is necessary to ensure the safety of the client taking tolcapone for Parkinson's disease.

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suppose that the workers were paid 19 dollars per hour for work during the time period 9 am to 5 pm and were paid 28.5 dollars per hour for work during the rest of the day. what would the total personnel costs of the clean up have been under these conditions? total cost

Answers

The total personnel costs of the clean up under these conditions would be:

$152/day + $114/day = $266/day

To calculate the total personnel costs of the clean up, we need to know the number of hours worked during each period. Let's assume that the clean up took place for 8 hours per day, from 9 am to 5 pm, and for 4 hours per day, from 5 pm to 9 pm.

For the 8 hours worked from 9 am to 5 pm, the cost per hour is $19, so the total cost for this period is:

8 hours/day x $19/hour = $152/day

For the 4 hours worked from 5 pm to 9 pm, the cost per hour is $28.5, so the total cost for this period is:

4 hours/day x $28.5/hour = $114/day

Therefore, the total personnel costs of the clean up under these conditions would be:

$152/day + $114/day = $266/day

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the first national bank receives an extra $100 of reserves but decides not to lend out any of these reserves. how much deposit creation takes place for the entire banking system?

Answers

No deposit creation occurs if the bank doesn't lend the extra reserves. The deposit creation process requires banks to use excess reserves for lending.

The First National Bank may utilise the additional $100 in reserves to make loans, generating new deposits in the process. However, no new deposits will be created for the whole banking system if the bank decides not to lend any of these reserves.

Banks employ their excess reserves to fund loans, which results in the formation of new deposits. Without lending, there would be no new deposit generation, and the money supply would remain constant.

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The total market value of the common stock of the Okefenokee Real Estate Company is $13.5 million, and the total value of its debt is $8.5 million. The treasurer estimates that the beta of the stock is currently 1.8 and that the expected risk premium on the market is 9%. The Treasury bill rate is 4%. Assume for simplicity that Okefenokee debt is risk-free and the company does not pay tax.
a. What is the required return on Okefenokee stock? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
Required return %
b. Estimate the company cost of capital. (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
Cost of capital %
c. What is the discount rate for an expansion of the company's present business? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
Discount rate %
d. Suppose the company wants to diversify into the manufacture of rose-colored spectacles. The beta of unleveraged optical manufacturers is 1.15. Estimate the required return on Okefenokee's new venture. (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
Required return %

Answers

The Capital Asset Pricing Model (CAPM) can be used to determine the needed return on Okefenokee capital assets pricing model shares. The CAPM formula is: Required Return = Market Risk Premium x Beta x Risk-Free Rate.

Here, the beta is 1.5, the market risk premium is 6%, and the risk-free rate (Treasury bill rate) is 4%.

Required Return is 4% plus 1.5 x 6%, or 4% plus 9%, or 13%.

b. We must apply the weighted average cost of capital (WACC) methodology to get the firm's cost of capital:

WACC is equal to (e) + (D/VxRdx(1-Tc))

The equation changes because Okefenokee doesn't pay taxes to:

(EN x Re) + (D/W x Rd) = WACC

E is the market value of the company's stock in its whole ($6 million), D is the market value of the company's debt, and WACC = ($6,000,000/$10,000,000 x 13%) + ($4,000,000/$10,000,000 x 4%).

WACC is calculated as (0.6 x 13%) + (0.4 x 4%) = 7.8% + 1.6% = 9.4%

C. The company's cost of capital, which is 9.4%, would be the discount rate for an expansion of the current firm.

d. Using the updated beta of unleveraged optical producers (1.2), we once more apply the CAPM formula to calculate the needed return on Okefenokee's new business.

Required Return = Market Risk Premium x Beta x Risk-Free Rate

Required Return is equal to 4% + 1.2 x 6%, or 4% + 7.2%, or 11.2%.

Okefenokee's new business requires a return of 11.2%.

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