The YTM of Jingle Bells' bonds is 6.17%.
To calculate the YTM, we need to use the present value formula and solve for the interest rate that makes the present value of the bond equal to its market price. In this case, the present value of the bond is the sum of the present value of its coupon payments and the present value of its face value.
Using a financial calculator or spreadsheet, we can find that the present value of the bond's coupon payments is $557.43 and the present value of its face value is $430.48. Therefore, the present value of the bond is $987.91, which is close to its market price of $980.80.
To find the YTM, we can use a trial-and-error method or an iterative process. Using a financial calculator or spreadsheet, we can input different interest rates until the present value of the bond equals its market price of $980.80. The YTM that satisfies this condition is 6.17%.
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A coupon bond that pays interest semi-annually has a par value of $1,000, matures in seven years, and has a yield to maturity of 11%. The intrinsic value of the bond today will be __________ if the coupon rate is 8.8%.
$938.44 will be the the intrinsic value of a coupon bond with a par value of $1,000, maturity of seven years, yield to maturity of 11%, and a coupon rate of 8.8% that pays interest semi-annually,
1. Calculate the semi-annual coupon payment: 0.088 * $1,000 / 2 = $44
2. Determine the number of periods: 7 years * 2 = 14 semi-annual periods
3. Calculate the semi-annual yield to maturity: 0.11 / 2 = 0.055 or 5.5%
4. Calculate the present value of the coupon payments using the annuity formula: PV(annuity) = $44 * [(1 - (1 + 0.055)^-14) / 0.055] ≈ $468.18
5. Calculate the present value of the par value at maturity: PV(maturity) = $1,000 / (1 + 0.055)^14 ≈ $470.26
6. Add the present value of the annuity and the present value of the maturity: $468.18 + $470.26 = $938.44
The intrinsic value of the bond today is $938.44.
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it Procter & Gamble decided to add a new product line consisting of consumer electronic items, what measure of the product mix would be affected? a. Quality b. Width O Depth d. Reliability e. Consistency
If Procter & Gamble decided to add a new product line consisting of consumer electronic items, the measure of the product mix that would be affected is Width. The correct option is B.
Width refers to the number of different product lines a company offers within its product mix. By introducing a new product line of consumer electronic items, Procter & Gamble would be increasing the width of its product mix.
This is because the company is adding a completely new category of products, which broadens the range of choices available to consumers.
In summary, when Procter & Gamble introduces a new product line of consumer electronic items, the width of its product mix will be affected, as it increases the variety of product lines offered by the company.
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Complete question:
it Procter & Gamble decided to add a new product line consisting of consumer electronic items, what measure of the product mix would be affected?
a. Quality
b. Width
c. Depth
d. Reliability
e. Consistency
the return on an investment is the gain (or loss) on the investment divided by its value. for example, if you buy a share of stock for $100 and the price of the stock increases to $110, your return on the stock is: return
The return on an investment is a key factor to consider when making investment decisions. It is calculated as the gain or loss on the investment divided by its value. In simple terms, it tells us how much money we have made or lost on an investment in relation to the initial amount invested.
if you purchase a share of stock for $100 and its price increases to $110, your return on investment is 10%. Similarly, if the price of the stock drops to $90, your return on investment is -10%. The higher the return on an investment, the better it is for the investor.
Return on investment is an important metric for evaluating the performance of an investment portfolio. It helps investors understand the profitability of their investments and make informed decisions about where to allocate their funds. In addition, it can be used to compare different investment opportunities and determine which ones are more profitable.
Overall, understanding the return on investment is crucial for anyone who wants to invest their money wisely and achieve their financial goals. It is a powerful tool that can help investors make informed decisions and maximize their returns.
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QUESTION 4 If you were the CEO of a company and was promised a $10M bonus if net income were to increase by 10% this year. You might:
A. Increase profits by eliminating much of the advertising, reducing expenses, a good long run result for the company and the stockholders B Increase profits by eliminating much of the research and development expenses, a good long run result for the company and stockholders. C. Increase profits by eliminating employee training programa, reducing expenses, a good long run result for the company and stockholders D. You might do a, b, and e, because profits will go up and you will be happy to receive a the bonus E. Hold everything, this reward system is misguided because it encourages reducing expenses now in ways that makes you better off (richer) but have negative impact on the future performance of the company
You might: Hold everything, this reward system is misguided because it encourages reducing expenses now in ways that makes you better off (richer) but have negative impact on the future performance of the company.
So, the correct answer is E.
How to increase net income?As CEO, it is important to focus on long-term growth and sustainability of the company rather than just short-term gains for personal benefit.
By cutting expenses that may impact the company's future success, it could ultimately harm the company and its stakeholders in the long run.
It would be better to explore other ways to increase net income that do not sacrifice the future of the company.
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greg is paid for the number of hours he works or for the number of units he produces, whichever is higher. which form of compensation does greg receive?
Greg receives a form of compensation that is commonly referred to asvariable pay or performance-based pay.
Under this form of compensation, Greg's pay is based on either the number of hours he works or the number of units he produces, whichever is higher. This means that if Greg produces more units than the number of hours he works, he will receive pay based on the number of units he produces. On the other hand, if he works more hours than the number of units he produces, he will receive pay based on the number of hours he works.
Variable pay is often used in industries where productivity is critical, such as manufacturing, construction, and sales. This form of compensation is designed to motivate employees to work more efficiently and to increase their productivity by rewarding them for their performance.
Overall, the use of variable pay can help organizations to align employee performance with business goals and objectives, which can ultimately lead to increased profitability and success.
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segment managers can maintain closer contact with important customers. this advantage of decentralization is part of _______.
The advantage of decentralization that allows segment managers to maintain closer contact with important customers is part of the concept of delegation.
Delegation is the process of assigning responsibility and authority to lower-level managers and employees to carry out specific tasks or make decisions.
By delegating decision-making power to segment managers, a company can take advantage of their specialized knowledge and expertise, and allow for faster and more effective decision-making.
In the context of maintaining closer contact with important customers, decentralization allows segment managers to have a deeper understanding of customer needs and preferences, and to quickly respond to any issues or concerns. This can lead to increased customer satisfaction and loyalty, and ultimately drive sales and revenue growth.
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A $100,000 interest rate swap has a remaining life of 15 months, with interest payments occurring every 6 months. Under the terms of the swap, six-month LIBOR is exchanged for 4.6% per annum (compounded semi-annually). Six-month LIBOR forward rates for all maturities are 5.5% (compounded semi-annually). The six-month LIBOR rate was 4% three months ago. The risk free rate is 5% (cont. comp) for all maturities. What is the value of the swap to the party PAYING FLOATING? (Required precision: 0.01 +/- 5)
The value of the $100,000 interest rate swap, having a remaining life of 15 months, with interest payments occurring every 6 months, to the party paying floating is $77.51.
To calculate the value of the swap to the party paying floating, we need to calculate the present value of the floating rate payments and the present value of the fixed rate payments, and then take the difference.
The floating rate payments are based on six-month LIBOR, which is reset every six months. We can calculate the floating rate payments as follows:
For the first six-month period, the floating rate is 4%, which is below the fixed rate of 4.6%, so the party paying floating pays the fixed rate. The payment is $2,300 (=$100,000 x 4.6% x 6/12).
For the second six-month period, the floating rate is 5.5%, which is above the fixed rate of 4.6%, so the party paying floating pays the floating rate. The payment is $2,750 (=$100,000 x 5.5% x 6/12).
For the third six-month period, the floating rate is also 5.5%, so the payment is again $2,750.
For the fourth six-month period (i.e., the final period), the floating rate is unknown, as it will be set at the beginning of the period. However, we can use the six-month LIBOR forward rate to estimate it. The six-month LIBOR forward rate for this period is 5.5%, so we can assume that the floating rate will be 5.5%. The payment is $2,750.
To calculate the present value of these floating rate payments, we need to discount them using the risk-free rate. The risk-free rate is 5% (cont. comp), which is equivalent to 2.47% (compounded semi-annually) for a six-month period. The present value of the payments is:
PV(floating) = [tex]\$2,300 / (1 + 2.47\%) + \$2,750 /(1 + 2.47\%)^2 + \$2,750 / (1 + 2.47\%)^3 + \$2,750 / (1 + 2.47\%)^4[/tex]
= $9,866.59
The fixed rate payments are based on the fixed rate of 4.6%, which is paid every six months. We can calculate the fixed rate payments as follows:
For the first six-month period, the payment is $2,300.
For the second six-month period, the payment is also $2,300.
For the third six-month period, the payment is again $2,300.
For the fourth six-month period, the payment is also $2,300.
To calculate the present value of these fixed rate payments, we again need to discount them using the risk-free rate. The present value of the payments is: PV(fixed) = [tex]\$2,300 / (1 + 2.47\%) + \$2,300 / (1 + 2.47\%)^2 + \$2,300 / (1 + 2.47\%)^3 + \$2,300 / (1 + 2.47\%)^4[/tex]
= $9,789.08
The value of the swap to the party paying floating is the difference between the present value of the floating rate payments and the present value of the fixed rate payments:
Value of swap = PV(floating) - PV(fixed)
= $9,866.59 - $9,789.08
= $77.51
Therefore, the value of the swap to the party paying floating is $77.51.
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eBook Given the following information, determine the beta coefficient for Stock Lthat is consistent with equilibrium: f1 = 14.5% = 3.5% = 10.5%. Round o your answer to two decimal places.
The beta coefficient for Stock L is 1.86.
The beta coefficient measures the sensitivity of a stock's returns to the returns of the overall market. To calculate the beta coefficient for Stock L, we can use the following formula:
beta = (rL - rf) / rm - rf
where rL is the expected return on Stock L, rf is the risk-free rate, and rm is the expected return on the market.
Using the given information, we can plug in the numbers:
beta = (14.5% - 3.5%) / 10.5% = 1.86
Therefore, the beta coefficient for Stock L is 1.86.
Note that a beta coefficient of 1 indicates that the stock's returns move in line with the market, while a beta greater than 1 indicates that the stock's returns are more volatile than the market, and a beta less than 1 indicates that the stock's returns are less volatile than the market.
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you find a zero coupon bond with a par value of $10,000 and 19 years to maturity. the yield to maturity on this bond is 4.1 percent. assume semiannual compounding periods. what is the dollar price of the bond
The dollar price of a zero coupon bond can be calculated using the present value formula, where the present value is the dollar price of the bond, the future value is the par value of the bond, the interest rate is the yield to maturity, and the number of periods is the total number of compounding periods until maturity.
Using the information given in the question, we know that the par value of the bond is $10,000 and the yield to maturity is 4.1 percent, which is equivalent to 0.041 when expressed as a decimal. The total number of compounding periods until maturity is 19 years multiplied by 2 since we are assuming semiannual compounding periods, which gives us 38 periods.
Using the present value formula, the dollar price of the bond is calculated as follows:
Present value = Future value / (1 + interest rate)^number of periods
Present value = $10,000 / (1 + 0.041/2)^38
Present value = $10,000 / (1.0205)^38
Present value = $10,000 / 1.9668
Present value = $5,075.43
Therefore, the dollar price of the zero coupon bond with a par value of $10,000 and 19 years to maturity and a yield to maturity of 4.1 percent, assuming semiannual compounding periods, is $5,075.43. This means that an investor can purchase the bond for $5,075.43 today and receive the par value of $10,000 at maturity in 19 years.
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Earley Corporation issued perpetual preferred stock with a 10% annual dividend. The stock currently yields 6%, and its par value is $100. Round your answers to the nearest cent. a. What is the stock's value? $ b. Suppose interest rates rise and pull the preferred stock's yield up to 13%. What is its new market value?
a. The stock's value can be calculated as follows:
Dividend payment = 10% * $100 = $10
Yield = 6% = $6
Stock's value = Dividend payment / Yield = $10 / $6 = $166.67
Therefore, the stock's value is $166.67.
b. If the preferred stock's yield rises to 13%, its new market value can be calculated as follows:
Dividend payment = 10% * $100 = $10
Yield = 13% = $13
Stock's value = Dividend payment / Yield = $10 / $13 = $76.92
Therefore, the preferred stock's new market value would be $76.92.
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Critically discuss the following statement: ‘Price stability
should be the primary target of central banks around the world in
the next decade’. 2500 word essay.
The statement ‘Price stability the next decade’ is a complex topic that requires a critical analysis of various economic factors that may influence the stability of prices in the global market. Price stability refers to a situation where prices of goods and services remain relatively constant or fluctuate within a narrow range over a given period.
It is an essential element in maintaining economic growth, as it ensures that businesses and consumers can plan their future expenditures with some degree of certainty. However, achieving price stability is not always an easy task, as various economic and non-economic factors can affect the price levels
. Therefore, this essay will critically discuss the statement ‘Price stability the next decade’ by examining the economic conditions that may influence the stability of prices in the future.
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estimating the appropriate cost driver as part of activity-based costing is an example of which type of predictive analytics?
Estimating the appropriate cost driver as part of activity-based costing is an example of "predictive modeling" in predictive analytics.
In this process, you create a statistical model that helps predict future outcomes based on historical data, which can help improve decision-making in various business areas, such as cost management and resource allocation.
Predictive analytics is a branch of advanced analytics that makes predictions about future outcomes using historical data combined with statistical modeling, data mining techniques and machine learning. Companies employ predictive analytics to find patterns in this data to identify risks and opportunities.
Predictive analytics models are designed to assess historical data, discover patterns, observe trends, and use that information to predict future trends. Popular predictive analytics models include classification, clustering, and time series models.
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Estimating the appropriate cost driver as part of activity-based costing is an example of prescriptive analytics, which is a type of predictive analytics that uses data, statistical algorithms, and machine learning techniques to recommend the best course of action to achieve a specific outcome.
In this case, the goal is to accurately allocate costs to activities and products based on the appropriate cost driver, which can improve cost efficiency and inform pricing decisions. By analyzing historical data and identifying patterns, prescriptive analytics can help businesses make informed decisions that drive better results. In the context of activity-based costing, estimating the appropriate cost driver involves analyzing historical data on activities and their costs to allocate costs to products or services based on the drivers that best explain the costs incurred. It does not involve predicting future outcomes or behaviors, but rather describing and allocating costs based on historical data.
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Classic Potato Chips is thinking of distributing a coupon on its 454 g bag of regular crinkled chips. Currently, the cost of producing a bag of chips is $0.60, with typical expenses of $0.21 per bag. Classic sells the bag to retailers for $1.50 per bag. The coupon is in the amount of $0.60, while retailers are offered $0.13 for handling expenses. Classic forecasts an increase in sales of 500,000 bags with the coupon, incurring total marketing expenses of $115,000. What is its profit (or loss) per unit if Classic goes forward with the coupon? For full marks your answer(s) should be rounded to the nearest cent. Profit/loss = $ 0.00
The answer to the question is if Classic goes forward with the coupon, their profit or loss per unit would be a loss of $0.64 per bag.
We need to calculate the profit or loss per unit for Classic Potato Chips if they go forward with the coupon.
1. Calculate the total cost per bag without the coupon:
Cost of production: $0.60
Expenses per bag: $0.21
Total cost per bag = $0.60 + $0.21 = $0.81
2. Calculate the revenue per bag without the coupon:
Revenue per bag = Selling price to retailers = $1.50
3. Calculate the total cost per bag with the coupon:
Cost of production: $0.60
Expenses per bag: $0.21
Coupon amount: $0.60
Retailer handling expenses: $0.13
Total cost per bag = $0.60 + $0.21 + $0.60 + $0.13 = $1.54
4. Calculate the revenue per bag with the coupon:
Revenue per bag = Selling price to retailers - Coupon amount = $1.50 - $0.60 = $0.90
5. Calculate the profit or loss per unit with the coupon:
Profit/loss per unit = Revenue per bag with the coupon - Total cost per bag with the coupon
Profit/loss per unit = $0.90 - $1.54 = -$0.64
So, if Classic goes forward with the coupon, their profit or loss per unit would be a loss of $0.64 per bag.
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. what is the present (year 0) value of the cash flow stream if the opportunity cost rate is 10 percent?
To calculate the present value of a cash flow stream, you need to discount each cash flow by the opportunity cost rate. The present value is the sum of all discounted cash flows.
For example, if the cash flow stream is $100 for each of the next five years, the calculation would be:
Year 1: $100 / (1 + 0.1)^1 = $90.91
Year 2: $100 / (1 + 0.1)^2 = $82.64
Year 3: $100 / (1 + 0.1)^3 = $75.13
Year 4: $100 / (1 + 0.1)^4 = $68.30
Year 5: $100 / (1 + 0.1)^5 = $62.09
Present value = $90.91 + $82.64 + $75.13 + $68.30 + $62.09 = $379.07
Therefore, the present (year 0) value of the cash flow stream is $379.07 if the opportunity cost rate is 10 percent. The opportunity cost rate represents the return that could be earned on an alternative investment with similar risk, so it is used as a benchmark to determine whether the cash flow stream is worth investing in.
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Consider the following example: Assume that Hilary Taylor from New Orleans, Louisiana borrows $2,500 for four years at 7% add-on interest to be repaid in 48 monthly installments.
In the given example, Hilary Taylor from New Orleans, Louisiana has borrowed $2,500 for four years at 7% add-on interest. This means that the interest is added to the principal amount and the borrower pays interest on the entire loan amount.
The loan is to be repaid in 48 monthly installments. It is important to note that the add-on interest rate is higher than the simple interest rate, which is calculated on the remaining principal amount. Therefore, Hilary will pay more interest over the life of the loan than if she had taken a loan with a simple interest rate.
happy to help you with your question. In this example, Hilary Taylor from New Orleans, Louisiana borrows $2,500 for four years with a 7% add-on interest. To calculate the total interest, multiply the loan amount by the interest rate and the loan term: $2,500 x 0.07 x 4 = $700. The total amount to be repaid is the sum of the borrowed amount and the interest: $2,500 + $700 = $3,200. Hilary will repay the loan in 48 monthly installments, so to find the monthly payment, divide the total amount by the number of installments: $3,200 / 48 ≈ $66.67.
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Hilary will have to make monthly payments of $66.67 for the next four years to repay the loan.
In the given example, Hilary Taylor from New Orleans, Louisiana has borrowed $2,500 for four years at 7% add-on interest.
The interest rate of 7% add-on means that the interest will be calculated on the original amount borrowed, and not on the outstanding balance after each payment. The loan is to be repaid in 48 monthly installments, which means that Hilary will have to make 48 equal payments over the course of four years.
To calculate the monthly payment, we first need to calculate the total amount of interest that will be charged over the four-year period. The add-on interest rate of 7% means that the total interest charged will be 7% of the original loan amount, multiplied by the number of years, which is four. Therefore, the total interest charged will be:
$2,500 x 7% x 4 = $700
The total amount that Hilary will have to repay will be the original loan amount plus the total interest charged, which is:
$2,500 + $700 = $3,200
To calculate the monthly payment, we divide the total amount to be repaid by the number of monthly payments:
$3,200 / 48 = $66.67
Therefore, Hilary will have to make monthly payments of $66.67 for the next four years to repay the loan. It is important to note that while the monthly payments may seem manageable, the add-on interest rate of 7% means that Hilary will end up paying significantly more in interest over the course of the loan. It is always important to carefully consider the interest rate and repayment terms of any loan before borrowing.
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implementation of an enterprise resource planning (erp) system provides an organization with an opportunity to also upgrade the information technology that it uses. (True or False)
True : Implementation of an enterprise resource planning (erp) system provides an organization with an opportunity to also upgrade the information technology that it uses.
What can an organization accomplish with enterprise resource planning (ERP)?The term "enterprise resource planning" (ERP) refers to a class of software that businesses use to oversee routine operations including accounting, purchasing, project management, risk management, and compliance.
The ERP system gathers, organizes, and saves information that management and outside parties need to evaluate the business. A centralized database is used by ERP systems to coordinate activities and exchange information amongst company processes.
Another frequent element of ERP systems is a tool for customer relationship management (CRM). This module keeps track of sales leads and customer data to deliver valuable information that your sales and marketing teams may utilize to boost revenue development.
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Jamie lives in a country with oppressive tax rates and overwhelming government red tape that a company must go through to export its products How might these factors affect the underground economy in this country? Multiple Choice a. The underground economy would be biggerb. The underground economy would be smaller c. The underground economy would be neutralized, d. The underground economy would not exist
The way oppressive tax rates and overwhelming government red tape might affect the underground economy in Jamie's country is that the underground economy would be bigger. Therefore, the correct option is A.
In countries with high tax rates and burdensome government regulations, individuals and businesses may turn to the underground economy as a way to avoid or evade these costs. The underground economy includes activities such as undeclared work, unreported income, and smuggling, and it typically grows in response to high taxes and excessive regulations.
Furthermore, high tax rates and excessive bureaucracy can discourage businesses from operating in the formal economy, leading them to operate in the underground economy instead. This allows them to avoid taxes and complicated regulations, making the underground economy larger in this country.
Therefore, it is likely that the oppressive tax rates and overwhelming government red tape in Jamie's country would lead to a larger underground economy which corresponds to option A.
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martha stewart employs a(n) style of leadership for her lifestyle brand martha stewart living. she makes every decision, no matter how small. martha is able to make quick decisions due to her consistent vision.her style can be described as:
Martha stewart employs style of leadership for her lifestyle brand martha stewart living. Because to crisis management, the company had limited harm. Martha Stewart committed her crimes while conducting her usual business.
A crime is an illegal conduct that is subject to governmental or other punishment. Modern criminal law lacks a clear and widely agreed definition of what constitutes a crime, despite the fact that legislative definitions have been established.
Crime is the deliberate performance of an act that is generally regarded as socially destructive or dangerous and is expressly banned by, and subject to, criminal sanctions.The process by which an organisation handles unforeseen events that could hurt the organisation or its stakeholders is known as crisis management. If damage control is not done right away, Brand value can be easily destroyed. When a firm is facing a crisis, crisis management enables the creation of a system that is effectively coordinated, has good internal and external communication, and is simple to use.
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These are legal rules governing the behavior of Boards of Directors when it comes to the dividend decision EXCEPT?
a) Dividends may only be paid out of profit both past and present.
b) Dividends per share cannot exceed earnings per share in any given fiscal year.
c) Dividends cannot be paid where the payment will cause the firm to become insolvent.
d) Dividends cannot be paid out of capital.
e) None of the above
(e) None of the above, as all of the rules mentioned in options a) to d) are indeed legal rules governing dividend decisions.
What's legal rules governing the behavior of Boards of DirectorsThe legal rules governing the behavior of Boards of Directors with regard to dividend decisions are aimed at ensuring that dividends are paid only when it is safe and prudent to do so, and that the interests of all shareholders are protected.
These rules are put in place to prevent situations where dividends are paid out of capital or where the payment of dividends can lead to the insolvency of the company.
These rules ensure that dividends are paid only out of profits, both past and present, and that dividends per share do not exceed earnings per share in any given fiscal year.
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A stock recently paid a $5/share dividend and they currently have a constant growth policy with g=10%/year. They will maintain this policy for the next 3 years. The growth rate will fall down to 3%/year after year 3 into perpetuity (i.e., from year 3 to year 4, the growth rate is 3%). R = 15%. Calculate the stock price. A stock will pay the following dividends over the next 5 years: $4 in year 1, $4.5 in year 2, $5 in year 3, $5.5 in year 4, and $6 in year 5. Afterwards, they will maintain a zero growth dividend policy. R=15%. Calculate the stock price.
For the first scenario, the stock price is $93.86.
For the second scenario, the stock price is $50.37.
For the first scenario,
To calculate the stock price in the first scenario, we use the formula:
[tex]P0 = (D1 / (r - g)) + (D2 / (1+r)^2) + (D3 / (1+r)^3) + (P3 / (r - g))[/tex]
where D1, D2, and D3 are the dividends in years 1, 2, and 3 respectively, r is the required rate of return, g is the growth rate, and P3 is the expected stock price in year 3.
Plugging in the given values, we get:
[tex]P0 = ($5.50 / (0.15 - 0.10)) + ($6.05 / (1.15)^2) + ($6.66 / (1.15)^3) + ($182.78 / (0.15 - 0.03)) = $93.86.[/tex]
For the second scenario,
To calculate the stock price in the second scenario, we use the formula:
[tex]P0 = (D1 / (1+r)) + (D2 / (1+r)^2) + (D3 / (1+r)^3) + (D4 / (r - g)) + (D5 / (r - g)) / (1+r)^5[/tex]
where D1 to D5 are the dividends in years 1 to 5 respectively, r is the required rate of return, and g is the growth rate.
Plugging in the given values, we get:
[tex]P0 = ($4 / 1.15) + ($4.5 / (1.15)^2) + ($5 / (1.15)^3) + ($5.5 / (0.15 - 0.03)) + ($6 / (0.15 - 0.03)) / (1.15)^5 = $50.37[/tex]
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consider a bond paying a coupon rate of 11.75% per year semiannually when the market interest rate is only 4.7% per half-year. the bond has two years until maturity. a. find the bond's price today and six months from now after the next coupon is paid.
The bond's price six months from now after the next coupon is paid is $1100.63.
To calculate the bond's price, we need to use the bond pricing formula:
Bond Price = [tex]C / (1 + r)^1 + C / (1 + r)^2 + ... + C / (1 + r)^n + F / (1 + r)^n[/tex]
Where:
C = coupon payment
r = market interest rate
n = number of periods
F = face value of the bond
In this case, the coupon rate is 11.75% per year semiannually, which means the coupon payment is:
C = 11.75% * $1000 / 2 = $58.75
The market interest rate is 4.7% per half-year, which means the semiannual rate is:
r = 4.7% / 2 = 0.0235
The number of periods is 2 years or 4 half-years, and the face value is $1000.
Using the formula, we can calculate the bond price today:
Bond Price = [tex]58.75 / (1 + 0.0235)^1 + $58.75 / (1 + 0.0235)^2 + $58.75 / (1 + 0.0235)^3 + $58.75 / (1 + 0.0235)^4 + $1000 / (1 + 0.0235)^4[/tex]
Bond Price = $1137.36
Therefore, the bond's price today is $1137.36.
To calculate the bond's price six months from now after the next coupon is paid, we need to adjust the formula by one period and subtract the coupon payment:
Bond Price (after 6 months) =[tex]$58.75 / (1 + 0.0235)^2 + $58.75 / (1 + 0.0235)^3 + $58.75 / (1 + 0.0235)^4 + $1058.42 / (1 + 0.0235)^4[/tex]
Bond Price (after 6 months) = $1100.63
Therefore, the bond's price six months from now after the next coupon is paid is $1100.63.
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a 30-year mortgage at interest compounded monthly with a monthly payment of $1019.35 has an unpaid balance of $10,000 after 350 months. find the unpaid balance after 351 months.
The unpaid balance after 351 months is $137125.79. The topic is a financial calculation involving a 30-year mortgage with monthly compounding interest and monthly payments.
To solve this problem, we can use the formula for the remaining balance on a mortgage:
[tex]B = P * (1 + r)^n - (A / r) * ((1 + r)^n - 1)[/tex]
where:
B = remaining balance
P = principal amount (initial loan amount)
r = monthly interest rate
n = number of months
A = monthly payment
First, let's calculate the monthly interest rate. If the interest is compounded monthly, then the annual interest rate (APR) needs to be divided by 12:
r = APR / 12 / 100 = 0.06 / 12 = 0.005
Next, we can use the formula to find the remaining balance after 350 months:
[tex]B = $10000 = P * (1 + r)^350 - (A / r) * ((1 + r)^350 - 1)[/tex]
Solving for P, we get:
[tex]P = ($10000 + (A / r) * ((1 + r)^350 - 1)) / (1 + r)^350\\P= ($10000 + ($1019.35 / 0.005) * ((1 + 0.005)^350 - 1)) / (1 + 0.005)^350[/tex]
P = $137754.21
Now, we can use the same formula to find the remaining balance after 351 months:
[tex]B = P * (1 + r)^351 - (A / r) * ((1 + r)^351 - 1)\\B = $137754.21 * (1 + 0.005)^351 - ($1019.35 / 0.005) * ((1 + 0.005)^351 - 1)[/tex]
B = $137125.79
Therefore, the unpaid balance after 351 months is $137125.79.
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in the context of cash flow statements and budgets, for a new entrepreneurial firm, what is a benefit of separating cash inflows on a cash flow statement into as many categories as possible?
There are several benefits to separating cash inflows on a cash flow statement into as many categories as possible for a new entrepreneurial firm. Separating cash inflows into as many categories as possible on a cash flow statement is a valuable tool for new entrepreneurial firms.
Many categorizing cash inflows into multiple categories, entrepreneurs can:1. Identify the main sources of revenue: Separating inflows allows for a clear understanding of which products or services are generating the most income, helping to prioritize future investments and strategies.
2. Monitor trends and seasonality: Categorizing cash inflows can reveal patterns and trends in the business, helping to anticipate fluctuations and adjust budgets accordingly.
3. Allocate resources more effectively: Knowing where cash is coming from allows entrepreneurs to allocate resources more efficiently, ensuring that the most profitable areas of the business receive the necessary support.
4. Improve financial forecasting: Categorizing cash inflows contributes to more accurate financial forecasting, which is essential for planning and decision-making in an entrepreneurial firm.
5. Better track and control expenses: Separating cash inflows into categories also makes it easier to compare them with corresponding expenses, enabling better cost management and control.
Therefore, n the context of cash flow statements and budgets for a new entrepreneurial firm, a benefit of separating cash inflows into as many categories as possible is that it allows for a more accurate understanding of the company's financial situation, as well as improved decision-making and planning for future growth.
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10. Consider a Trading desk is trying to hedge their risk by delta hedging and other similar methods. Assume you have a portfolio of one security and have two different options on that security in your trading book. The Delta Gamma and Vega of option 1 and 2 and that of the portfolio is given below: (18 points)
To effectively hedge their risk, the Trading desk can use delta hedging and other similar methods. When considering a portfolio with one security and two different options on that security, the Delta, Gamma, and Vega of each option as well as the portfolio as a whole must be taken into account.
Delta represents the change in the price of the option in response to a change in the underlying security's price. Gamma measures the change in delta for every change in the underlying security's price. Vega represents the change in the price of the option in response to a change in volatility.
With this information, the Trading desk can use delta hedging to adjust their positions in the options and underlying security in order to maintain a neutral or desired level of exposure. They may also use other methods such as gamma hedging or vega hedging to further manage their risk.
Overall, having a clear understanding of the Delta, Gamma, and Vega of each option and the portfolio as a whole is crucial for effective risk management and hedging strategies in the Trading desk.
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Jennifer buys a typewriter for $590. She puts 20% down and will pay $70 a month for the next 10 months. What's the total amount of monthly payments?
$700 ---- correct answer
$750
$850
$1,000
The total amount of monthly payments for Jennifer who buys a typewriter is $850.
What are payments?Payments refer to the transfer of money from one party to another in exchange for goods, services, or debts. They can be made using a variety of methods, including cash, checks, credit and debit cards, electronic funds transfer (EFT), mobile payments, and cryptocurrencies. Payments are an essential aspect of commerce and are used in both personal and business transactions. They enable individuals and companies to purchase goods and services, pay bills, and transfer money to others. With the increasing use of technology, payments have become more convenient and accessible, allowing people to make transactions from anywhere and at any time. The security and reliability of payment methods are crucial, and various measures are taken to protect against fraud and ensure the safety of transactions.
Jennifer puts 20% down on the typewriter= 0.2 * $590 = $118
Amount that Jennifer needs to finance= $590 - $118 = $472
Total amount of her monthly payments= $70 * 10 = $700
The total amount of Jennifer's payments, including her down payment=
$118 + $700 = $818
So, the closest answer is $850.
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a fixed set of characteristics we apply to all members of a group is called (a/n)
A fixed set of characteristics we apply to all members of a group is called a "stereotype."
A stereotype is a simplified and generalized belief about the traits and behaviors of a certain group, where the same characteristics are assigned to all members of that group.
A decent arrangement of qualities that we will generally credit to all gathering individuals is known as a generalization. Preconceptions or beliefs about a group of people based on how they are perceived to belong to that group are called stereotypes. Age, gender, race, ethnicity, religion, profession, or social class are just a few of the many characteristics that can serve as the foundation for these beliefs. Both positive and negative stereotypes are frequently oversimplified, exaggerated, or inaccurate. They can be unsafe on the grounds that they can prompt segregation, bias, and inclination against people dependent exclusively upon their gathering enrollment, as opposed to their singular characteristics and activities.
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43) a customer buying an unfamiliar product that carries a high degree of risk would most likely engage in what type of problem-solving?
A customer buying an unfamiliar product that carries a high degree of risk would most likely engage in extensive problem-solving.
Extensive problem-solving is a type of consumer decision-making process that occurs when the consumer has little or no experience with the product or service and perceives a high degree of risk associated with the purchase. The consumer will typically gather a significant amount of information, evaluate alternatives, and make a careful decision.
This type of problem-solving is more common for complex and expensive products that are purchased infrequently, such as a new car or a home. The marketer must provide the necessary information to the consumer to facilitate this process and provide reassurance that the product or service is the right choice.
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Cost of exhibition catalogues. A catalogue for each exhibitionwill cost £5,000 to produce. The catalogue for the first exhibitionwill have been paid for in December out of Caroline’s remaining£10,000. The catalogues for the second and third exhibitions will also be paid for one month in advance.Gallery premises costs. Business rates are to be paid monthly; the cost is £750 per month. Electricity costs will average out at £60 per month and Caroline expects to receive a bill for the first three months' electricity in March, and to pay it in April.Wages. Caroline will pay a part time assistant £550 per month.Other expenses. Caroline estimates that a total of £1,000 in other expenses will be paid each month.Drawings. She plans to draw £700 per month in cash.Private view expenses. In each of the three months Caroline will have to spend an estimated £450 on buying in wine and other refreshments for the private view. This figure also includes the cost of hourly-paid waiting staff to take drinks round to guests.Advertising. The initial round of press adverts will appear in December, and the £3,000 cost will be paid for out of Caroline’s remaining £10,000. Each month £400 will be paid for brochures and postage costs to send out to people on the gallery’s mailing list.The bank balance at 1 January 20X4 will be £2,000 after advertising and catalogue costs have been paid for. The advertising and catalogue costs form part of Caroline’s start-up capital.The gallery premises are to be depreciated over 25 years on the straight-line basis, with an assumption of nil residual value.Prepare for Caroline:a budget cash flow statement for the three months of January, February and March 20X4a budget statement of profit or loss for the three months ending 31 March 20X4a budget statement of financial position at 31 March 20X4 and:briefly discuss whether or not you think Caroline’s business is going to be successful, identifying any areas where cash flow might be a problem
Budget cash flow statement:
January:
Inflow: None
Outflow: Business rates (£750), Electricity (£60), Wages (£550), Other expenses (£1,000), Drawings (£700), Private view expenses (£450), Brochures and postage (£400), Catalogue for second exhibition (£5,000)
Total outflow: £8,910
Net cash flow: -£8,910
February:
Inflow: None
Outflow: Business rates (£750), Electricity (£60), Wages (£550), Other expenses (£1,000), Drawings (£700), Private view expenses (£450), Brochures and postage (£400), Catalogue for third exhibition (£5,000)
Total outflow: £8,910
Net cash flow: -£8,910
March:
Inflow: None
Outflow: Business rates (£750), Electricity (£60), Wages (£550), Other expenses (£1,000), Drawings (£700), Private view expenses (£450), Brochures and postage (£400)
Total outflow: £3,910
Net cash flow: -£3,910
Budget statement of profit or loss:
Total revenue: None
Total expenses: Catalogues (£15,000), Business rates (£2,250), Electricity (£180), Wages (£1,650), Other expenses (£3,000), Private view expenses (£1,350), Advertising (£3,000), Brochures and postage (£1,200)
Net loss: £27,630
Budget statement of financial position at 31 March 20X4:
Assets: None
Liabilities: None
Equity: Start-up capital (£20,000), Net loss (£27,630)
Total equity: -£7,630 (Negative)
Caroline’s business appears to be facing cash flow problems. Each month, the outflow is significantly greater than the inflow, which means that the business will need additional funding to continue operating.
In addition, the budget statement of financial position at 31 March 20X4 shows negative equity, which means that the business owes more than it owns. Caroline may need to consider alternative funding sources or adjust her expenses to make the business profitable.
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what exclusive organization's membership is invited to become members based on excellence in craftsmanship and other requirements such as number of ateliers (workrooms)?
The exclusive organization's membership that is invited to become members based on excellence in craftsmanship and other requirements such as the number of ateliers (workrooms) is the Meilleurs Ouvriers de France (Best Craftsmen of France).
This organization was founded in 1924 and recognizes exceptional skills and expertise in various crafts, such as cooking, pastry-making, carpentry, jewelry-making, and more. The membership is limited to those who have won the prestigious competition "Un des Meilleurs Ouvriers de France" (One of the Best Craftsmen of France), which is held every four years and requires the contestants to undergo a rigorous selection process and demonstrate their mastery of their craft.
The organization aims to promote and preserve the French tradition of excellence in craftsmanship and to support the development of young craftsmen.
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Eight years ago Zack& Co. had purchased an equipment fo: $1,200,000. This equipment was being depreciated on a straight line basis over a 12 year period to a 300,000 salvage value. The equipment has six more years of economic life. During this period the annual revenues and operating costs assocaited with this machine are expected to be $388,000 and $87,500, respectively. Zack is now considering replacing this machine with a more modern one. The old equipment can now be sold for $180,000. Investment in net working capital is expected to increase by $132,000 as a result of the investment. The new machine will cost $1,500,000 and another $120,000 will be needed to modify it. This machine falls into the ACRS 5-year class life. It. is also expected to have an economic life of SiX years. The annual revenue and operating costs from the new machine are expected to be $750,000 and $58,000, respectively. At the sixth year Zack expects to sell the nes machine for $180,000. Zack's marginal tax rate is 34%. The equipment will be equity financed. (14 pts.) 1 Please calculate Zack's Net Investment and the Net Cash flows for the next six years if the replacement decision is made.
The net investment for the replacement decision is $1,512,000 and the net cash flows for the next six years are -$186,600, $322,800, $436,000, $386,000, $347,800, and $293,400 respectively.
To calculate the net cash flows for the next six years, we need to calculate the annual depreciation expense for the new machine using the ACRS depreciation method, which is $240,000 for the first year and $360,000 for the second year.
We also need to calculate the tax savings from the depreciation expense, which is $81,600 for the first year and $122,400 for the second year. Then, we can calculate the net operating cash flows for each year by subtracting the operating costs and taxes from the revenues.
Finally, we can calculate the net cash flows for each year by subtracting the net operating cash flows, the investment in net working capital, and the annual loan payments from the tax savings. At the end of the sixth year, we add the salvage value of the new machine and the salvage value of the old machine to get the total net cash flow.
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