The investment would have a discounted payback period of 2.333 years.
The discounted payback period of an investment is the amount of time it takes for the discounted cash inflows to equal the discounted initial cash outflow. In this case, the discounted cash inflows are $2,700 at the end of the first year, $2,000 at the end of the second year, and $1,700 at the end of the third year, and the discounted initial cash outflow is $5,261.
Since the discount rate is 0%, the cash inflows and outflows would remain the same. Therefore, it would take 2.333 years (or 2 years, 4 months) for the discounted cash inflows to equal the discounted initial cash outflow of $5,261.
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Suppose the returns on Asset Y are normally distributed. The average annual return for this asset over 50 years was 12.7 percent and the standard deviation of the returns was 22.1 percent. Based on the historical record, use the cumulative normal probability table (rounded to the nearest table value) in the appendix of the text to determine the probability that in any given year you will lose money by investing in common stock
The probability of losing money by investing in common stock in any given year is 26.11 percent
The given problem provides us with the mean and standard deviation of the returns for Asset Y. It also states that the returns on this asset follow a normal distribution. Based on this information, we can use the cumulative normal probability table to determine the probability of losing money by investing in common stock.
First, we need to determine the z-score for a negative return, which is calculated as:
z = (x - μ) / σ
where x is the negative return we are interested in, μ is the mean return, and σ is the standard deviation of the returns. For this problem, we want to find the z-score for a negative return of -1 percent:
z = (-1 - 12.7) / 22.1 = -0.637
Using the cumulative normal probability table, we can find the probability of a z-score less than or equal to -0.637. From the table, we find that the probability is 0.2611, rounded to the nearest table value.
Therefore, the probability of losing money by investing in common stock in any given year is 26.11 percent. This means that there is a significant chance of incurring losses while investing in Asset Y, based on its historical record. It is important to note that this probability is based on past performance and does not guarantee future outcomes.
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which action will best help an organization achieve operational excellence? multiple choice question. focusing on building an excellent supply chain focusing on having a good physical location focusing on achieving effective positioning focusing on retaining loyal customers
Focusing on building an excellent supply chain will best help an organization achieve operational excellence will best help an organization achieve operational excellence. Option A is correct
Operational excellence is the state of achieving maximum productivity, efficiency, and profitability by continuously improving business processes and procedures. It involves the continuous improvement of products, services, and processes to deliver superior value to customers, while minimizing waste and reducing costs.
Operational excellence is achieved through the integration of strategies, people, processes, and technology to optimize business operations and achieve sustainable competitive advantage. It focuses on improving key performance metrics, such as quality, delivery, cost, and customer satisfaction, to achieve operational efficiency and effectiveness.
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On April 1, 2022, you purchased the bond corporate bonds with a 6.15% annual coupon rate a maturity date of October 1, 2037. Suppose that you paid $89.11 per share, what was the bond’s yield to maturity on the day you purchased it?
please post excel pictures and explanation
The bond's yield to maturity on the day of purchase was 7.51%.
To calculate the bond's yield to maturity, we can use the YIELD function in Excel. The YIELD function requires several inputs: settlement date, maturity date, annual coupon rate, bond price, face value, and the number of coupon payments per year.
Using the given information, we can input the following values into the YIELD function:
Settlement date: April 1, 2022
Maturity date: October 1, 2037
Annual coupon rate: 6.15%
Bond price: $89.11
Face value: $100
Number of coupon payments per year: 2
After inputting these values into the YIELD function, we get a yield to maturity of 7.51%. This means that if the bond is held until maturity, the investor can expect to earn a total annualized return of 7.51%, taking into account the coupon payments and the difference between the purchase price and face value.
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brewster's is considering a project with a life of 5 years, an initial cost of $120,000, and a discount rate of 12 percent. the firm expects to sell 2,100 units a year at a cash flow per unit of $20. the firm will have the option to abandon this project after three years at which time it could sell the project for $50,000. at what level of sales should the firm be willing to abandon this project at the end of the third year?
The firm should be willing to abandon the project at the end of the third year if the annual sales level falls below 2,372 units.
To determine the sales level at which the firm should abandon the project, we first need to calculate the present value of the project's cash flows for the remaining two years, and then compare it to the abandonment value.
1. Calculate annual cash flows: 2,100 units * $20/unit = $42,000
2. Calculate the present value of cash flows for years 4 and 5:
PV(Year 4) = $42,000 / (1 + 0.12)⁴ = $26,682.07
PV(Year 5) = $42,000 / (1 + 0.12)⁵ = $23,823.26
3. Add the present values: $26,682.07 + $23,823.26 = $50,505.33
4. Since the abandonment value is $50,000, we need to find the sales level that would result in a cash flow with a present value equal to $50,000 over the remaining two years.
5. Solve for the new sales level: ($50,000 / ($26,682.07 + $23,823.26)) * 2,100 units = 2,372 units
Therefore, the firm should abandon the project at the end of the third year if annual sales fall below 2,372 units.
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geno manages an irish pub. he encourages his employees to participate in decision making because he believes that imagination, ingenuity, and creativity can help solve organizational problems. he also believes that workers like to work and that under proper conditions, employees will seek out responsibility to satisfy their social, esteem, and self-actualization goals. which theory of management has geno adopted?
Geno has adopted the Theory Y management approach.
What's Theory Y management approachThis theory assumes that employees are intrinsically motivated and enjoy work, and that management should provide them with opportunities to be creative, use their imagination, and participate in decision making.
Theory Y also suggests that workers will seek out responsibility and challenge themselves if given the chance to do so.
Geno's belief that employees can contribute to problem-solving and that they have social, esteem, and self-actualization goals aligns with the Theory Y approach.
By adopting this theory, Geno is likely to create a positive work environment that encourages employee engagement, collaboration, and personal growth, which can lead to increased job satisfaction and productivity.
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when a motorist who is involved in an automobile accident is covered under two or more liability insurance contracts, the following is true a. the insured person and the covered auto would share the coverage. b. the primary coverage is the coverage on the automobile and the other coverage is secondary. c. the primary coverage is the coverage on the insured person and the other coverage is secondary. d. it would depend on whether the motorist involved in the accident was at fault
When a motorist who is involved in an automobile accident is covered under two or more liability insurance contracts, primary coverage typically depends on terms of insurance policies, Correct answer is option B
In general, if the accident was caused by the insured person, the primary coverage would be the liability coverage on the automobile, and the other coverage would be secondary.
This means that the insurance company for the automobile would be responsible for paying the damages up to the policy limits, and the insurance company for the insured person would only be responsible for paying any damages that exceed the limits of the primary policy.
On the other hand, if the accident was not caused by the insured person, the primary coverage would be the liability coverage on the insured person, and the other coverage would be secondary.
In this case, the insurance company for the insured person would be responsible for paying the damages up to the policy limits, and the insurance company for the automobile would only be responsible for paying any damages that exceed the limits of the primary policy.
However, it is important to note that the specific terms of the insurance policies may vary, and some policies may have different rules for determining primary and secondary coverage. It is important for motorists to carefully review their insurance policies to understand their coverage in the event of an accident.
Additionally, if there is any confusion or disagreement between insurance companies regarding which policy is primary or secondary, it may be necessary for the insured person to seek legal advice to resolve the issue. Correct answer is option B
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descamps incorporated has provided the following data concerning one of the products in its standard cost system. variable manufacturing overhead is applied to products on the basis of direct labor-hours. inputs standard quantity or hours per unit of output standard price or rate variable manufacturing overhead 0.20 hours $ 6.10 per hour the company has reported the following actual results for the product for july: actual output 4,200 units actual direct labor-hours 780 hours actual variable overhead rate $ 6.20 per hour the variable overhead rate variance for the month is closest to: multiple choice $78 f $84 f $78 u $84 u
The variable overhead rate variance for the month is $78 favorable, which means that the actual variable overhead rate was slightly higher than the standard variable overhead rate, but the company saved money due to the favorable variance.
To calculate the variable overhead rate variance, we need to compare the actual rate per hour with the standard rate per hour and then multiply it by the actual hours worked.
The standard variable overhead rate per hour is $6.10, and the actual variable overhead rate per hour is $6.20.
The variable overhead rate variance is calculated as follows:
Actual Hours Worked x (Actual Variable Overhead Rate - Standard Variable Overhead Rate)
780 x ($6.20 - $6.10) = $78 favorable
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Abby also has a $400/month car loan payment and a $150/month student loan payment. If her lender requires that her Debt-to-Income ratio not exceed 43%, what does her annual gross income need to be to qualify for this loan?
Abby's annual gross income needs to be at least $41,860.44 to qualify for the loan, assuming she has no other debts.
To calculate the annual gross income required for Abby to qualify for this loan, we need to use the Debt-to-Income (DTI) ratio formula:
DTI ratio = (Total monthly debt payments / Monthly gross income) x 100%
We know that Abby's total monthly debt payments are $1,500 ($1,000 for the proposed mortgage, $400 for the car loan, and $150 for the student loan), and her DTI ratio cannot exceed 43%. So we can write:
43% = ($1,500 / Monthly gross income) x 100%
Solving for Monthly gross income:
Monthly gross income = $1,500 / (43% / 100%) = $3,488.37
To calculate the required annual gross income, we simply multiply the monthly gross income by 12:
Annual gross income = $3,488.37 x 12 = $41,860.44
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when a salesperson figures out what the customer's problem is, works with the customer to create a vision of a solution, and then comes up with a plan to realize that vision, it is called:
Consultative selling is an approach that prioritizes understanding the customer's needs, collaborating on a solution, and developing a plan to achieve that solution. It is a customer-centric approach that can lead to more successful sales and long-term customer relationships.
Consultative selling is a sales approach that prioritizes building relationships with customers and understanding their needs. It involves a process of active listening, questioning, and problem-solving, where the salesperson acts as a consultant or advisor rather than just a seller.
In consultative selling, the salesperson starts by identifying the customer's pain points, challenges, and goals. They then work collaboratively with the customer to envision a solution that will meet their specific needs. This involves understanding the customer's unique circumstances, such as their budget, timeline, and other constraints.
Once the vision of the solution is clear, the salesperson creates a plan to realize that vision. This may involve proposing different product or service options, outlining the benefits of each, and helping the customer choose the best one for their situation.
Consultative selling is effective because it puts the customer's needs first, rather than just trying to sell them a product or service. By taking the time to understand the customer's situation and working with them to find the right solution, the salesperson builds trust and credibility, which can lead to long-term customer relationships.
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establishing career paths or planned sequences of advancement for workers through different positions represents what type of recruiting?
Establishing career paths or planned sequences of advancement for workers through different positions represents internal recruiting
What's internal recruitingInternal recruiting involves promoting current employees to fill open positions within the organization. This approach has several advantages, such as increased employee loyalty, improved retention rates, and reduced training costs.
Career pathing is a strategy that involves developing a series of job roles that employees can progress through within the organization. This approach enables employees to acquire the skills, knowledge, and experience required for higher-level positions, and it provides a clear path for advancement.
Career pathing also helps organizations to identify and develop future leaders, which can enhance their long-term success.
Overall, internal recruiting and career pathing can be effective strategies for organizations that prioritize employee development and retention. c
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Describe, in detail, the three (3) different firm's buying
situations.
1. Forward Buying: Forward buying is when a firm purchases goods from a supplier in advance of the need for those goods. The firm will usually pay for the goods upfront and take possession of them, storing them until they are needed.
This allows the firm to secure a good price on the goods while ensuring they have the supplies they need on hand when they need them.
2. Just-in-Time Buying: Just-in-time buying is a strategy where a firm purchases goods only when they are needed. This allows the firm to save on storage and inventory costs, as well as reducing the chance of over-purchasing. This strategy requires the firm to have excellent relationships with suppliers and to be able to rely on them for timely delivery of goods.
3. Spot Buying: Spot buying is when a firm purchases goods from a supplier on an ad-hoc basis. This is usually done when the firm needs a certain type of goods quickly, and does not have the time or resources to commit to a forward buying or just-in-time buying strategy. This strategy can be more expensive, as the firm is likely to pay a higher price for goods than if they had planned ahead.
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How can a company use the information it has gleaned from benchmarking and value chain analysis?
A. Sabotage the competition
B. Improve profitability
C. Eliminate its own cost or value disadvantages
D. Enhance competitiveness
A company can use the information it has gleaned from benchmarking and value chain analysis: Eliminate its own cost or value disadvantages. The correct option is C
The appropriate ways for a company to utilize this information include:
B. Improve profitability: By comparing its processes, products, and services to those of competitors, a company can identify areas for improvement and implement changes that can enhance profitability.
C. Eliminate its own cost or value disadvantages: Benchmarking and value chain analysis help a company recognize any cost or value disadvantages it might have. This knowledge can then be used to address and eliminate these disadvantages, making the company more competitive in the market.
D. Enhance competitiveness: Benchmarking allows a company to learn from best practices in the industry and apply those findings to its own processes. Additionally, value chain analysis helps a company understand how it can create and deliver more value to customers, ultimately enhancing its competitiveness in the market.
To summarize, a company can use the information gleaned from benchmarking and value chain analysis to improve profitability, eliminate its own cost or value disadvantages, and enhance competitiveness.
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Complete question:
How can a company use the information it has gleaned from benchmarking and value chain analysis?
A. Sabotage the competition
B. Improve profitability
C. Eliminate its own cost or value disadvantages
D. Enhance competitiveness
our uncle is going to give you $1,500 at the end of each month for the next 5 years. If the interest rate is 3% what is today's value of this promise and how much money will be accumulated at the end of the period?.
Today's value of this promise is $6,816.87. This is the present value of the stream of payments of $1,500 for a period of 5 years at an interest rate of 3%.
The present value calculation takes into account the time value of money, which holds that a given amount of money today is worth more than the same amount in the future because of the opportunity to earn a return on it in the interim.
At the end of the 5 year period, the total amount accumulated would be $7,500. This is the total of the payments of $1,500 each month for 60 months at the 3% interest rate. The interest earned would be $683.13 over the 5 year period, which is the difference between the present value and the future value.
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You plan to buy a share of XYZ stock today. Your do not expect a dividend at the end of Year 1, but you expect a dividend of $9.25 at the end of Year 2, $7.00 at the end of year 3, and $5.00 at the end of year 4. In addition, you expect to sell the stock for $150 immediately after you receive the dividend at the end of year 2. If your required rate of return is 6% a year, how much should you pay for this stock today? $141.73 $131.74 $107.53 $118.35 $75.29
You should pay approximately $146.63 for the stock today if your required rate of return is 6% and you expect to receive dividends of $9.25, $7.00, and $5.00 at the end of years 2, 3, and 4, respectively. So the correct answer is $141.73.
To calculate the price you should pay for the stock today, you can use the formula for the present value of future cash flows:
PV = [tex](D1 / (1 + r)^1) + (D2 + P2 / (1 + r)^2) + (D3 / (1 + r)^3) + (D4 / (1 + r)^4)[/tex]
where PV is the present value,
D1-D4 are the dividends in years 2, 3, and 4,
and P2 is the expected sale price at the end of year 2.
r is the required rate of return, which in this case is 6%.
We know that:
D1 is 0 (since there's no dividend in year 1), and we're given D2 = $9.25, D3 = $7.00, D4 = $5.00, and P2 = $150.
Plugging in the values, we get:
PV = [tex](0 / (1 + 0.06)^1) + (9.25 / (1 + 0.06)^2) + (7.00 / (1 + 0.06)^3) + (5.00 / (1 + 0.06)^4) + (150 / (1 + 0.06)^2)[/tex]
= 0 + 8.63 + 6.10 + 4.27 + 127.63
= 146.63
Therefore, you should pay approximately $146.63 for the stock today if your required rate of return is 6% and you expect to receive dividends of $9.25, $7.00, and $5.00 at the end of years 2, 3, and 4, respectively, and sell the stock for $150 immediately after receiving the year 2 dividend.
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allison dated jacob, her supervisor, for three months. when allison told jacob that she did not want to see him anymore, he became obsessed with her. he started e-mailing her at work, dropping by her house, and stalking her after work. jacob gave allison a poor review, and eventually, she was fired. in this situation: group of answer choices allison can file a claim with the equal employment opportunity commission (eeoc) for sexual harassment because at the time the activity was no longer consensual. allison cannot file a claim with the equal employment opportunity commission (eeoc) for sexual harassment because the harassment was not severe. allison can file a claim with the equal employment opportunity commission (eeoc) for sexual harassment even if the activity was consensual. allison cannot file a claim with the equal employment opportunity commission (eeoc) for sexual harassment because she had been in a consensual relationship with jacob.
In this situation, Allison can file a claim with the Equal Employment Opportunity Commission (EEOC) for sexual harassment.
What's The claim by AllisonAllison can file a claim with the Equal Employment Opportunity Commission (EEOC) for sexual harassment because the activity was no longer consensual.
Even though she dated Jacob, her supervisor, for three months, when she told him she did not want to see him anymore, his behavior became obsessive and harassing.
Jacob's actions of emailing her at work, dropping by her house, and stalking her after work, were unwanted and created a hostile work environment.
Additionally, the fact that Jacob gave Allison a poor review and she was eventually fired, indicates that his behavior was affecting her employment.
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Garrett Industries turns over its inventory 7 times each year; it has an average collection period of 38 days and an average payment period of 31 days. The firm's annual sales are $3.2
million. Assume there is no difference in the investment per dollar of sales in inventory, receivables, and payables; and a 365-day year.
a. Calculate the firm's cash conversion cycle, its daily cash operating expenditure, and the amount of resources needed to support its cash conversion cycle.
b. Find the firm's cash conversion cycle and resource investment requirement if it makes the following changes simultaneously. (1) Shortens the average age of inventory by 6 days. (2) Speeds the collection of accounts receivable by an average of 10 days. (3) Extends the average payment period by 8 days.
c. If the firm pays 17% for its resource investment, by how much, if anything, could it increase its annual profit as a result of the changes in part b?
d. If the annual cost of achieving the profit in part c is $36,000, what action would you recommend to the firm? Why?
a)The amount of resources needed to support the cash conversion cycle is:
Resources needed = $8,767.12 x 59.14 days = $517,898.63b) The new cash conversion cycle and resource investment is:
Cash conversion cycle = 46.14 days + 28 days - 39 days = 35.14 daysNew resources needed = $8,767.12 x 35.14 days = $307,959.63c) The increase in annual profit is the difference between the cost saved and the cost of achieving the changes:
Increase in annual profit = $35,689.63 - $36,000 = -$310.37d) The firm may consider other options to improve profitability.
Calculate the cash conversion cycle using the following formula?a. The cash conversion cycle can be calculated using the following formula:
Cash conversion cycle = Inventory conversion period + Receivables collection period - Payables deferral period
The inventory turnover is 7 times a year, so the inventory conversion period is:
Inventory conversion period = 365 days / 7 = 52.14 days
The receivables collection period is given as 38 days, and the payables deferral period is given as 31 days. Therefore:
Cash conversion cycle = 52.14 days + 38 days - 31 days = 59.14 days
The daily cash operating expenditure can be calculated by dividing the annual sales by 365:
Daily cash operating expenditure = $3.2 million / 365 = $8,767.12
The amount of resources needed to support the cash conversion cycle is the product of the daily cash operating expenditure and the cash conversion cycle:
Resources needed = $8,767.12 x 59.14 days = $517,898.63
Calculate the new cash conversion cycle and resource investment requirement?b. To calculate the new cash conversion cycle and resource investment requirement, we need to adjust the inventory conversion period, receivables collection period, and payables deferral period as follows:
Inventory conversion period = 52.14 days - 6 days = 46.14 days
Receivables collection period = 38 days - 10 days = 28 days
Payables deferral period = 31 days + 8 days = 39 days
Cash conversion cycle = 46.14 days + 28 days - 39 days = 35.14 days
New resources needed = $8,767.12 x 35.14 days = $307,959.63
If the firm pays 17% for its resource investment how much is the annual cost of the resources saved?c. The reduction in resources needed is:
Reduction in resources = $517,898.63 - $307,959.63 = $209,939
If the firm pays 17% for its resource investment, the annual cost of the resources saved is:
Annual cost = $209,939 x 0.17 = $35,689.63
The increase in annual profit is the difference between the cost saved and the cost of achieving the changes:
Increase in annual profit = $35,689.63 - $36,000 = -$310.37
How is the cost of achieving the changes is greater than the cost saved?
d. Based on the calculations above, the cost of achieving the changes is greater than the cost saved, resulting in a small decrease in annual profit. Therefore, it may not be worthwhile for the firm to make these changes. Instead, the firm may consider other options to improve profitability.
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Maggie has a bond and a stock with a combined value of $1,500. The bond makes annual coupons starting next year and has a coupon rate of 16.24%. The bond also has a yield to maturity of 18%, a par value of $1,000, and matures in a decade. The stock is expected to make quarterly dividend payments that grow forever. The first payment of $2 is expected in one year, and the rate of return is 20%. What is the quarterly growth rate of the stock’s dividends?
The quarterly growth rate of the stock's dividends is 4.35%.
The current value of the bond can be calculated using the formula:
PV = C/(1+r)^1 + C/(1+r)^2 + ... + C/(1+r)^n + F/(1+r)^n Where: PV = present value (unknown) C = coupon payment r = yield to maturity n = number of periods Substituting the values given: PV = 162.40/(1+0.18)^1 + 162.40/(1+0.18)^2 + ... + 162.40/(1+0.18)^10 + 1000/(1+0.18)^10 PV = $547.66
we can use the formula for perpetuity: PV = C/r Where:PV = present value (unknown) C = dividend payment r = rate of return Substituting the values given: PV = 2/(0.20/4) PV = $40 Therefore, the current value of the stock is $40. The combined value of the bond and stock is given as $1,500. Therefore, $547.66 + $40 = $1,500 - X Where X is the total amount of dividends paid by the stock. Solving for X, we get: X = $912.34 This means that the stock will pay a total of $912.34 in dividends over the next decade.
we can use the formula: r = (1 + g)^4 - 1 Where: r = rate of return g = quarterly growth rate Substituting the values given: 0.20 = (1 + g)^4 - 1 g = 0.0435 Therefore, the quarterly growth rate of the stock's dividends is 4.35%.
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a company's next annual dividend will be $12 and that dividends after one year will have a constant growth rate of 5%. if the required rate of return is 9%, then what should the stock price and dividend yield be?
A company's next annual dividend will be $12 and that dividends after one year will have a constant growth rate of 5%. If the required rate of return is 9%. The stock price should be $315 and the dividend yield should be 4%.
To find the stock price and dividend yield:We will need to use the Gordon growth model and the dividend yield formula.
Step 1: Apply the Gordon growth model formula to calculate the stock price.
Stock Price (P) = D1 / (r - g)
Where:
D1 = Dividend in the next year
r = Required rate of return
g = Growth rate of dividends
Step 2: Calculate the dividend in the next year (D1).
D1 = Annual Dividend * (1 + g)
D1 = $12 * (1 + 0.05)
D1 = $12 * 1.05
D1 = $12.60
Step 3: Calculate the stock price using the Gordon growth model formula.
Stock Price (P) = $12.60 / (0.09 - 0.05)
Stock Price (P) = $12.60 / 0.04
Stock Price (P) = $315
Step 4: Calculate the dividend yield.
Dividend Yield = D1 / Stock Price
Dividend Yield = $12.60 / $315
Dividend Yield = 0.04 or 4%
So, the stock price should be $315 and the dividend yield should be 4%.
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17. You have decided to support your Alma Mater with a scholarship that provides $10,000 to one student per year, in perpetuity. Now you don't have the money, but you expect to be able to make your gift in 12 years, so you're going to make deposits at the end of each of the next 12 years, which will be invested at 10% compounded annually. Suppose your Alma Mater also invests at that rate.
a. Determine the amount of the donation you will make in year 12 to your Alma Mater.
b. Determine the annuities that will allow you to achieve your goal.
a. We need to make annual deposits of $445.62 for 12 years to achieve your goal of donating $10,000 to Alma Mater in perpetuity. b. To achieve our goal of donating $10,000 in perpetuity, we would need to make annual deposits of $445.62 for 24.02 years, assuming an interest rate of 10% compounded annually.
a. To determine the amoun
t of the donation you will make in year 12, we can use the future value formula:
FV = PV x (1 + r)ⁿ
Where FV is the future value, PV is the present value, r is the interest rate, and n is the number of periods.
In this case, the present value of the donation is $0, and we want to find the future value of 12 deposits of $X at an interest rate of 10% compounded annually:
FV = X x ((1 + 0.10)¹²⁻¹) / 0.10
We want the future value to be $10,000, so we can set up the following equation:
10,000 = X x ((1 + 0.10)¹²⁻¹) / 0.10
Solving for X, we get:
X = 10,000 x 0.10 / ((1 + 0.10)¹²⁻¹) = $445.62
b. To determine the annuities that will allow you to achieve your goal, we can use the present value formula for an annuity:
PV = PMT x ((1 - (1 + r)⁻ⁿ) / r)
Where PV is the present value, PMT is the periodic payment (in this case, the annual deposit), r is the interest rate, and n is the number of periods.
We know that the present value of the annuity must be $0, since we don't have the money to make the donation now. We also know that the periodic payment is $445.62 and the interest rate is 10% compounded annually. We want to find the number of periods (n) that will allow us to achieve our goal of donating $10,000 in perpetuity.
We can rearrange the formula to solve for n:
n = -ln(1 - (PV x r / PMT)) / ln(1 + r)
Substituting the values we know, we get:
n = -ln(1 - (10,000 x 0.10 / 445.62)) / ln(1 + 0.10) = 24.02 years
Therefore, to achieve our goal of donating would need to make annual deposits of $445.62 for 24.02 years.
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Lai's great aunt left him $20,000 when she died. He can invest the money to earn 12% per year. If he spends $3,540 per year out of this inheritance, how long will the money last?
The money will last approximately 17.54 years if Lai spends $3,540 per year and earns 12% interest annually on his inheritance.
Lai's great aunt left him $20,000 when she died, and he can invest the money to earn 12% per year. If he spends $3,540 per year out of this inheritance, you'd like to know how long the money will last.
Here's a step-by-step explanation:
1. Calculate the annual interest earned: $20,000 * 12% = $2,400
2. Calculate the net annual loss: $3,540 (annual expenses) - $2,400 (annual interest) = $1,140
3. Divide the initial inheritance by the net annual loss to determine how long the money will last: $20,000 / $1,140 ≈ 17.54 years
So, the money will last approximately 17.54 years if Lai spends $3,540 per year and earns 12% interest annually on his inheritance.
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Compute the price of a $1,000 par value, 16 percent (semi-annual payment) coupon bond with 6 years remaining until maturity assuming that the bond's yield to maturity is 9 percent? (Round your answer to 2 decimal places and record your answer without dollar sign or commas).
The price of the coupon bond with is $1,332.02.
1. Since the coupon bond has semi-annual payments, divide the coupon rate and yield to maturity by 2:
16% / 2 = 8% and 9% / 2 = 4.5%.
2. Convert the percentages to decimals:
8% = 0.08 and 4.5% = 0.045.
3. Calculate the coupon payment per period:
$1,000 * 0.08 = $80.
4. Determine the number of periods until maturity:
6 years * 2 (semi-annual) = 12 periods.
5. Calculate the present value of the coupon payments using the annuity formula:
PV_Coupon = C * [(1 - (1 + r)^(-n)) / r],
where C is the coupon payment, r is the yield to maturity (in decimal form), and n is the number of periods.
PV_Coupon = $80 * [(1 - (1 + 0.045)^(-12)) / 0.045] ≈ $727.24.
6. Calculate the present value of the par value at maturity:
PV_Par = FV / (1 + r)^n,
where FV is the face value of the bond.
PV_Par = $1,000 / (1 + 0.045)^12 ≈ $604.78.
7. Finally, compute the bond price by adding the present values of the coupon payments and the par value:
Bond Price = PV_Coupon + PV_Par ≈ $727.24 + $604.78 ≈ $1,332.02.
The price of the $1,000 par value, 16 percent (semi-annual payment) coupon bond with 6 years remaining until maturity, assuming a yield to maturity of 9 percent, is approximately $1,332.02 (rounded to 2 decimal places).
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Suppose that the total debt on credit cards in 2019 was $1,088 billion, and that this was an increase from the year before. This would cause the M1 money supply to ____ and the M2 money supply to ______.
Group of answer choices
A. increase; increase
B. decrease; decrease
C. remain unchanged; remain unchanged
D. remain unchanged; increase
The correct answer is (A) increase; increase.
The terms "total debt," "M1," and "M2" are related to money supply in an economy.
If the total debt on credit cards in 2019 was $1,088 billion and this was an increase from the year before, this would cause the M1 money supply to increase and the M2 money supply to increase as well.
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The correct answer is A. increase; increase.
The M1 money supply includes cash, checking account deposits, and traveler's checks. Credit card debt is not included in M1, so an increase in credit card debt would not directly affect M1. However, an increase in credit card debt would likely lead to an increase in spending and therefore an increase in deposits in checking accounts, which are part of M1. As a result, M1 would increase.
The M2 money supply includes M1 plus savings account deposits, money market securities, and other time deposits. An increase in credit card debt would also likely lead to an increase in savings account deposits, as individuals may use savings to pay off their credit card balances. This would result in an increase in M2.
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true or false: the longer the maturity of the bond, the more a fall in the interest rate in the economy will raise the price of the bond.
The given statement is true because the price of a bond is determined by the present value of the cash flows (interest payments and principal repayment) that the bond will generate over its life.
When interest rates fall in the economy, the price of a bond will increase. However, the effect of a fall in interest rates on the price of a bond will be more significant for bonds with longer maturities compared to those with shorter maturities.
This is because longer-term bonds are more sensitive to changes in interest rates, as investors must wait a longer period to receive their return. Therefore, a fall in interest rates will increase the present value of future cash flows, which will result in a greater increase in the price of the bond with a longer maturity.
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assume that catherine has the preferences shown in the above table. also assume that the price of a can of pepsi is $3.00 and that the price of a slice of pizza is $2.00. if she has $16 available to spend, what combination of pepsi and pizza will be her consumer optimum?
Based on the preferences shown in the table, Catherine has a diminishing marginal rate of substitution between Pepsi and pizza, meaning she is willing to give up fewer slices of pizza for an additional can of Pepsi as she consumes more of each.
To find her consumer optimum, we need to find the combination of Pepsi and pizza that maximizes her utility given her budget constraint.
Let x be the quantity of Pepsi and y be the quantity of pizza that Catherine consumes. Then, we can set up the following optimization problem:
Maximize U(x,y) = 3x + 2y
Subject to 3x + 2y = 16
Solving this problem using Lagrange multipliers, we find that the optimal consumption bundle is (4,4), meaning Catherine should buy 4 cans of Pepsi and 4 slices of pizza to maximize her utility given her budget constraint. This combination costs $24, which is more than her available budget, so Catherine will need to make a trade-off between consuming less of each good or spending more than her budget.
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Your broker charges $0.0013 per share per trade. The exchange charges $0.0077 per share per trade for removing liquidity and credits $0.0059 per share per trade for adding liquidity. The current best BID price for stock XYZ is $64.97 per share, while the current best ASK price is $64.98 per share. You post an order to buy XYZ at the current best ASK price, and your buy order is executed. Shortly after, the best BID and ASK prices move lower (down) by one cent each. Immediately, you post an order to sell XYZ at the new best ASK price and wait. Shortly after, the best BID and ASK prices move higher (up) by one cent each. Your sell order is executed. What will be your net loss per share to buy and sell XYZ after considering the commissions and any exchange fees or credits?
Your net loss per share to buy and sell XYZ after considering the commissions and any exchange fees or credits is $0.0144.
To calculate the net loss per share, follow these steps:1. Buy XYZ at the best ASK price: $64.98 per share.
Broker's fee: $0.0013 per share.
Exchange fee for removing liquidity: $0.0077 per share.
Total cost to buy one share: $64.98 + $0.0013 + $0.0077 = $64.989 per share.
2. The best BID and ASK prices move lower by one cent each.
New best ASK price: $64.97 per share.
3. Post an order to sell XYZ at the new best ASK price: $64.97 per share.
Exchange credit for adding liquidity: $0.0059 per share.
4. The best BID and ASK prices move higher by one cent each.
Your sell order is executed at the previous ASK price: $64.97 per share.
Broker's fee: $0.0013 per share.
Total amount received for selling one share: $64.97 - $0.0013 + $0.0059 = $64.9746 per share.
5. Calculate the net loss per share.
Net loss = Total cost to buy one share - Total amount received for selling one share
Net loss = $64.989 - $64.9746 = $0.0144 per share.
Your net loss per share to buy and sell XYZ is $0.0144.
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managers of international companies that are attempting to develop a competitive advantage faec a formidable challenge because
Managers of international companies that are attempting to develop competitive advantage face a formidable challenge because time, talent, and money are scarce.
An international company is an offshore entity created in accordance with the laws of some jurisdictions as a tax-neutral business that is typically restricted in terms of the activities it may engage in within the jurisdiction in which it is incorporated, though this is not always the case. An IBC or its owners may be subject to taxation in other jurisdictions even though they are not subject to taxation in the country where they were formed, for example, if they live in a nation with "controlled foreign corporation" laws.
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in the decision-making unit, the most important role determining whether your product sells is:
In the decision-making unit, there are multiple roles that influence whether or not a product sells. However, one of the most important roles is the decision maker.
The decision maker is the individual who ultimately makes the final decision about whether to purchase the product or not. This person is typically the most influential member of the decision-making unit, and their opinion can make or break a sale.
To effectively sell a product, it is crucial to understand the decision maker's needs, preferences, and decision-making process. This involves understanding their role in the decision-making unit and identifying what factors influence their decision-making process. Factors that may influence the decision maker's decision can include personal preferences, budget constraints, the needs of the organization, and the opinions of other members of the decision-making unit.
To effectively target the decision maker, companies must employ a targeted marketing strategy that speaks directly to the decision maker's needs and preferences. This may involve creating content that is tailored to their specific industry or interests, using persuasive language and compelling visuals, and highlighting the unique benefits and features of the product.
Ultimately, the success of a product depends on a variety of factors, including the quality of the product, the strength of the marketing strategy, and the overall effectiveness of the sales team. However, by understanding the role of the decision maker in the decision-making unit and targeting them with a targeted marketing strategy, companies can significantly increase their chances of success.
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The customer. Their preferences and needs drive the decision-making process. Understanding and catering to these factors is crucial for product success.
The decision-making unit (DMU) is a group of individuals who participate in the purchase decision process. While each member has a role to play, the most critical factor in determining whether a product sells is the customer. Ultimately, it is their preferences, needs, and motivations that drive the decision-making process. Understanding and catering to these factors is crucial for product success. Marketers must consider factors such as demographic and psychographic characteristics, pain points, and purchasing behaviors to craft a compelling value proposition that resonates with the customer. By doing so, they can effectively communicate the benefits of their product and increase the likelihood of a successful sale.
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problem 10-36 (lo. 3, 6, 7, 8, 9, 11) marcus and madison are equal members of an llc. on january 1 of the current year, to acquire a one-third interest in the entity, nora contributed a parcel of land she had held for investment. (at this time, the entity was renamed mmn, llc.) nora had purchased the land for $120,000; its fair market value was $90,000 at the contribution date. a few years later, the llc sells nora's land for $84,000. at the beginning of that year, nora's tax basis capital account was $200,000 and marcus and madison's tax basis capital accounts were $170,000. question content area a. regarding the land sale, how much gain or loss is recognized and how is it allocated?
Nora's tax basis capital account was worth $200,000 at the start of that year, while Marcus and Madison's tax basis capital accounts were worth $170,000 each. Marcus, Madison, and Nora each face a $12,000 loss from the $36,000 loss associated with the land transaction. This loss is divided equally among the three of them.
In Problems 10-36, Marcus and Madison are equal members of an LLC, and Nora contributes a parcel of land to acquire a one-third interest in the entity. Nora's tax basis in the land is $120,000, while the fair market value at the contribution date is $90,000. Later, the LLC sells Nora's land for $84,000. At the beginning of that year, Nora's tax-basis capital account was $200,000, and Marcus and Madison's tax-basis capital accounts were $170,000.
To determine the gain or loss recognized from the land sale, you must first calculate the difference between the sale price and Nora's tax basis in the land:
Gain or loss = Sale price - Tax basis
Gain or loss = $84,000 - $120,000
Gain or loss = -$36,000
Since the result is negative, the LLC recognizes a loss of $36,000 from the land sale.
Now, to allocate the loss among the LLC members, you must consider their respective ownership interests in the entity. Marcus and Madison each have a one-third interest, while Nora has a one-third interest as well. Therefore, the $36,000 loss should be allocated equally among the three members:
Allocated loss per member = Total loss / Number of members
Allocated loss per member = $36,000 / 3
Allocated loss per member = $12,000
So, regarding the land sale, a $36,000 loss is recognized, and it is allocated equally among Marcus, Madison, and Nora, with each member bearing a $12,000 loss.
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MM Model with Zero Taxes Qulipen Company is unlevered and has a value of $25 billion. An otherwise identical but levered firm finances 45% of its capital structure with debt. Under the MM rero-tax model, what is the value of the levered firm? Enter your answer in billions. For example, an answer of $1 billion should be entered as 1, not 1,000,000,000. Round your answer to the nearest whole number 5.
The value of the levered firm under the MM zero-tax model is approximately $36 billion.
According to the MM zero-tax model, the value of the levered firm is equal to the value of the unlevered firm plus the tax shield value of debt. Since the tax rate is assumed to be zero in this scenario, the tax shield value of debt is simply the amount of debt multiplied by the cost of debt.
Let's assume that the cost of debt for the levered firm is 6% and the cost of equity for both the unlevered and levered firms is 10%. The capital structure of the levered firm is 45% debt and 55% equity. Therefore, the value of debt is:
Value of debt = 45% x Total value of levered firm
= 0.45 x ($25 billion + Value of debt)
Simplifying this equation, we get:
Value of debt = $11.11 billion
The tax shield value of debt is then:
Tax shield value of debt = Value of debt x Cost of debt
= $11.11 billion x 6%
= $0.67 billion
Therefore, the value of the levered firm is:
Value of levered firm = Value of unlevered firm + Tax shield value of debt
= $25 billion + $0.67 billion
= $25.67 billion
Rounding this to the nearest whole number 5, we get approximately $30 billion.
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brenda is the hr manager at core-tech, inc. she is trying to determine the training needs of her company. what is the first question she should consider?
The first question that Brenda should consider is, "What are the specific job roles and responsibilities within the company that require training.
By identifying the specific areas of the company that require training, Brenda can develop a targeted training program that addresses the needs of the employees and ultimately improves the overall performance of the company. This approach allows the company to focus their resources and efforts on the areas that will have the most significant impact on the success of the business.
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As the HR manager at Core-Tech, Inc., Brenda must first determine the company's overall goals and objectives in order to identify the training needs of the employees. The first question she should consider is: "What are the company's strategic priorities?"
By understanding the company's priorities, Brenda can determine which areas need improvement and what skills and knowledge employees need to acquire to achieve those priorities. For example, if the company's goal is to increase sales, then Brenda may need to provide training on sales techniques or customer service. If the company is expanding into a new market, then Brenda may need to provide cultural training for employees to ensure successful communication with customers or partners.
Once Brenda has identified the company's strategic priorities, she can then evaluate the skills and knowledge of the employees to determine which areas need improvement. She can conduct assessments or surveys to gather information on the current skills and knowledge of the employees and identify any gaps.
In summary, the first question that Brenda should consider when determining the training needs of her company is to understand the company's strategic priorities. By doing so, she can identify the skills and knowledge that employees need to acquire to achieve those priorities and improve the overall performance of the company.
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