(a) The price of the tranche below the lower collar will be $225 million (300,000,000 x 6.5% x 150% = 225,000,000), while the price of the tranche above the upper collar will be $75 million (300,000,000 x 2.5% x 150% = 75,000,000).
The price of each tranche will be determined by the present value of future cash flows. The tranche below the lower collar (85%) will have an expected coupon of 6.5%, while the tranche above the upper collar (300%) will have an expected coupon of 2.5%.
(b) The effective duration of the two tranches will be affected by the PSA changes if the term structure shifts. The tranche below the lower collar will have an effective duration of 8.19 years (8.19 x 12 months = 98.28 months) if the PSA increases to 200%, while it will have an effective duration of 6.75 years (6.75 x 12 months = 81 months) if the PSA decreases to 120%.
The tranche above the upper collar will have an effective duration of 4.41 years (4.41 x 12 months = 52.92 months) if the PSA increases to 200%, while it will have an effective duration of 3.55 years (3.55 x 12 months = 42.6 months) if the PSA decreases to 120%.
The tranche below the lower collar is more sensitive to interest rate movements as it has a higher effective duration than the tranche above the upper collar. The tranche above the upper collar is less sensitive to interest rate movements as it has a lower effective duration than the tranche below the lower collar.
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you are purchasing a new machine that costs $12 million, and that has a 7 year expected life span. After 7 years, the estimated salvage value is $2 million. What is the yearly straight-line depreciation? (answer in MILLION dollars, but without the dollar sign, e.g. "0.42" is $0.42 million) Type your answer...
The yearly straight-line depreciation for the machine is $1.43 million.
The yearly straight-line depreciation for the new machine that costs $12 million and has an expected life span of 7 years with a salvage value of $2 million is calculated by subtracting the salvage value from the cost of the machine and dividing it by the expected life span. In this case, the calculation would be:
($12 million - $2 million) / 7 years = $1.43 million per year
Therefore, the yearly straight-line depreciation for the machine is $1.43 million.
Straight-line depreciation is a common method used to calculate the decrease in the value of assets over time. It assumes that the value of the asset decreases by an equal amount each year. In this case, the depreciation expense for the machine is spread out evenly over its expected life span of 7 years. The salvage value is also taken into account to determine the total amount of depreciation. The yearly straight-line depreciation can be useful for companies to determine the cost of owning and operating assets over their useful lives.
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the future value of an ordinary annuity table is used when calculating multiple choice question. the present value of a series of payments. the present value of a single amount. the future value of a series of payments.
The future value of an ordinary annuity table is a tool used to calculate the future value of a series of payments made at the end of each period over a certain number of periods.
This table helps individuals determine the amount they will have in the future based on their current investment or savings plan. By using the table, investors can estimate the value of their investment at the end of the investment period, assuming they make regular, equal payments.
The table is also useful in calculating the present value of a series of payments. By taking the future value of these payments and discounting it back to the present, individuals can determine the amount they would need to invest today to achieve their desired future value. This is known as the present value of an ordinary annuity.
The present value of a single amount is also important to consider when investing. This refers to the value of a lump sum payment today that will grow over time, assuming a certain rate of return. By understanding the present value of a single amount, investors can better determine how much they need to invest to reach their financial goals.
In summary, the future value of an ordinary annuity table is a valuable tool for investors to determine the future value of their investments and savings plans. It can also be used to calculate the present value of a series of payments and a single lump sum payment.
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Customers should be billed for back-orders when a. The back-ordered goods are shipped b. The original goods are shipped c. Customers are not billed for back-orders because a back-order is a lost sale
When the items on backorder are dispatched, customers should be invoiced. Here option A is the correct answer.
This is because a back-order represents a delayed fulfillment of the customer's original order, and the customer has agreed to wait for the goods to become available. Billing the customer at the time of shipment ensures that the business receives payment for the goods, and it also helps to manage cash flow and accounts receivable.
Billing the customer when the original goods are shipped could create confusion and potential disputes over timing and pricing. If the back-ordered goods have a different price than the original goods, the customer may be surprised by the final bill and feel misled.
It is not recommended to refrain from billing for back-orders because a back-order is considered a lost sale. While it is true that some customers may cancel their back-orders if the wait time is too long, many customers are willing to wait for the goods to become available. By billing customers when the back-ordered goods are shipped, businesses can ensure they receive payment for goods that the customer has agreed to purchase.
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problem 15-01 given the following information concerning a convertible bond: principal: $1,000 coupon: 5 percent maturity: 17 years call price: $1,050 conversion price: $37 (that is, 27 shares) market price of the common stock: $31 market price of the bond: $1,030 what is the current yield of this bond? round your answer to two decimal places. % what is the value of the bond based on the market price of the common stock? use the given above number of shares into which the bond may be converted. round your answer to the nearest dollar. $ what is the value of the common stock based on the market price of the bond? use the given above number of shares into which the bond may be converted. round your answer to the nearest cent. $ what is the premium in terms of stock that the investor pays when he or she purchases the convertible bond instead of the stock? round your answer to the nearest dollar. $ nonconvertible bonds are selling with a yield to maturity of 7 percent. if this bond lacked the conversion feature, what would the approximate price of the bond be? assume that the bond pays interest annually. use appendix b and appendix d to answer the question. round your answer to the nearest dollar. $ what is the premium in terms of debt that the investor pays when he or she purchases the convertible bond instead of a nonconvertible bond? round your answer to the nearest dollar. $ what is the probability that the corporation will call this bond? since the price of the stock is -select- than the exercise price of the bond, the probability of the bond being called is -select- .
a. The current yield of the bond is 4.85%.
b. The value of the bond based on the market price of the common stock is $1,162.
c. The value of the common stock based on the market price of the bond is $33.
d. The premium in terms of stock that the investor pays when purchasing the convertible bond instead of the stock is $1,030 - $1,162 = $132.
e. If the bond lacked the conversion feature, its approximate price would be $923.
f. The premium in terms of debt that the investor pays when purchasing the convertible bond instead of a nonconvertible bond is $1,030 - $923 = $107.
g. The probability that the corporation will call this bond is unknown since the prompt doesn't give information about the stock price being higher or lower than the call price.
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Deposits of P are placed into a fund at the end of each year for 10 years. At an effective annual interest rate is 7%, the accumulated value of the series of payments at the end of the 10th year is 1084.31. Find P. a. 73.35 b. 78.48 c. 93.88 d. 88.61 e. 88.75
The answer is (b) 78.48.
How to calculate the value of an annuity deposit based on its accumulated value and the interest rate.?We can use the formula for the future value of an annuity to solve this problem:
FV =[tex]P * (\frac{(1 + r)^{n - 1}} { r})[/tex]
where:
FV is the future value of the annuityP is the annual paymentr is the effective annual interest raten is the number of paymentsIn this case, we know that:
FV = 1084.31
r = 7% = 0.07
n = 10
Substituting these values into the formula, we get:
1084.31 = P * [tex](\frac{(1 + 0.07)^{10 - 1)} }{ 0.07})[/tex]
Solving for P, we get:
P = 1084.31 * [tex](\frac{0.07 } {((1 + 0.07)^{10 - 1}})[/tex] ≈ 78.48
Therefore, the answer is (b) 78.48.
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Question 13 The firm is evaluating a proposal to extend credit to a group of new customers. The new customers will they will pay in 30 days. The variable contrato eCOGS) is 80% of sales, collection expenses are 5% Cocor upront, while the collection cost out on the date in which the customer's payment is recal one day's sales the firm grants credit?
The firm is evaluating a proposal to extend credit to a group of new customers who will pay in 30 days. The variable cost (COGS) is 80% of sales, and collection expenses are 5%. The collection cost is incurred on the date when the customer's payment is received. The question asks if the firm should grant credit to these new customers.
Step 1: Analyze the costs and benefits associated with extending credit.
The variable cost (COGS) represents 80% of sales, which is the cost of producing the goods sold. Collection expenses are 5% of the sales, which are the costs associated with collecting payments from customers.
Step 2: Evaluate the risks and potential returns.
Extending credit to new customers can lead to increased sales and revenue. However, it also comes with the risk of non-payment or delayed payments, which can affect cash flow and profitability.
Step 3: Compare the potential returns to the costs.
To determine if granting credit is a wise decision, the firm needs to weigh the potential increase in sales and revenue against the costs associated with extending credit and collecting payments.
Step 4: Make a decision.
If the potential returns outweigh the costs and risks, the firm should consider extending credit to the new customers. However, if the costs and risks are too high, it might be more prudent to avoid granting credit to these customers and explore other options for growing sales and revenue.
In summary, to decide whether to grant credit to the new customers, the firm should carefully analyze the costs and benefits, evaluate the risks and potential returns, and compare these factors before making a final decision.
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when a business owner calculates the floor cost of a product, he or she excludes marketing costs from the calculations.group startstrue or false
True. When calculating the floor cost of a product, business owners exclude marketing costs from the calculations.
Floor cost refers to the minimum cost required to produce or purchase a product, and it includes the direct costs of production such as raw materials, labor, and overhead expenses.
Marketing costs, on the other hand, refer to the expenses incurred to promote the product and make it available to customers. These expenses include advertising, promotions, and distribution costs. Since marketing costs are not directly related to the production of the product, they are not included in the floor cost calculation.
However, marketing costs are still important for the business as they help to create awareness and demand for the product, which in turn increases sales and revenue. Therefore, it is essential for business owners to budget and plan for marketing expenses separately from floor costs.
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Your stock has a β = 2.77, the expected return on the stock
market is 16.67%, and the yield on T-bills is 6%. What is the
expected return on your stock?
To calculate the expected return on your stock, we can use the following formula: Expected return = risk-free rate + β * (market return - risk-free rate)Plugging in the given values, we get:
Expected return = 6% + 2.77 * (16.67% - 6%)
Expected return = 6% + 2.77 * 10.67%
Expected return = 6% + 29.50%
Expected return = 35.50%
Therefore, the expected return on your stock is 35.50%.The expected return on the stock can be calculated using the Capital Asset Pricing Model (CAPM):Expected return on stock = Risk-free rate + Beta*(Expected market return - Risk-free rate)
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when negotiating, the tendency is to want to win! why is this not a good approach when managing contracted relationships? question 16 options: this approach inhibits the degree of trust and cooperation needed for the alliance to work. a noncompetitive approach can bring about functional conflict. this approach can cause dysfunctional conflict to rise and negotiations to break down. because people have to continue to work together after negotiations. all of these are reasons a competitive approach to negotiation should not be used when managing contracted relationships.
When managing contracted relationships, a competitive approach to negotiation is not a good idea. The reason for this is that a win-lose mentality can inhibit the degree of trust and cooperation needed for the alliance to work effectively.
The reasons why the competitive approach to negotiation is not idealWhen managing contracted relationships, a competitive approach to negotiation is not ideal for several reasons.
Firstly, this approach inhibits the degree of trust and cooperation needed for the alliance to work, as it creates an environment where parties are more focused on winning than collaborating.
Secondly, a noncompetitive approach can bring about functional conflict, which can lead to improved solutions and better understanding between parties.
Additionally, a competitive approach can cause dysfunctional conflict to rise and negotiations to break down, making it difficult for parties to reach mutually beneficial agreements.
Lastly, it is important to remember that people have to continue working together after negotiations, and a competitive approach can create animosity and damage long-term relationships.
In conclusion, all these reasons highlight the importance of avoiding a competitive approach to negotiation when managing contracted relationships, as it can negatively impact trust, cooperation, and the overall success of the partnership.
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Suppose that 5 years ago the Cisco Company sold a 15-year bond issue, which had a par value of $5,000 and a coupon rate of 7 percent. Interest is paid semiannually. If the required return is 12 percent, what is the price of the bond today? Under what condition is it sold?
a. OR $7,276.70, discounted
b. Or $7,276.70, with premium
c. Or $3,279.40, with premium
d. $3,279.40, discounted
e. OR $7,276.70, per pair
Suppose that 5 years ago the Cisco Company sold a 15-year bond issue, which had a par value of $5,000 and a coupon rate of 7 percent. Interest is paid semiannually. If the required return is 12 percent, period of bond is $3,279.40, and on discounted condition. Correct alternative is d.
Information given in the questions are as follows
Face value = 5000
Coupon rate = 7%
Years to maturity = 10 (since the 15 year bond is issued 5 years ago)
Required return = 12%
Coupon Payment =350
Maturity= 15
Market rate= 12.00%
Number of times compounded= 2
PV(0.12/2,15*2,-350/2,-5000)
= $3,279.40
Since the price of the bond is less than the face value of the bond, the bond is selling at a discount
Answer = $3,279.40, discount
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A(n) ________ methodology is process-oriented and develops in a step-by-step technique, with each step building on the previous one.
A. explicit
B. tacit
C. conversion
D. structured
E. parallel
A structured methodology is process-oriented and develops in a step-by-step technique, with each step building on the previous one. The correct answer is D. structured.
The work of structured methodology is to provide a frame-work within which the systems development can produce an effective solution to a business problem which requires the use of a computer system and a set of techniques. Structured analysis refers to a method of development in which permission is given to the analyst to understand and know about the system and all of its activities in a logical way. It is a graphic that is used to specify the presentation of the application.
Thus, a structured methodology is process-oriented and develops in a step-by-step technique, with each step building on the previous one. The correct answer is option D.
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a(n) _________ is a social entrepreneur who creates something new through the combination of diverse and different elements.
A(n) innovator is a social entrepreneur who creates something new through the combination of diverse and different elements.
Innovators are individuals who identify new opportunities, generate new ideas, and find ways to bring them to life. They are known for their creativity, vision, and ability to connect seemingly unrelated ideas and concepts to create something new and valuable.
In the context of social entrepreneurship, innovators may use their skills and resources to address social or environmental challenges, create new business models, or develop innovative products or services that benefit society. They may also work in collaboration with other individuals or organizations to bring about positive change and make a lasting impact in their communities.
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A "social innovator" is a social entrepreneur who creates something new through the combination of diverse and different elements.
Social innovators identify and address social problems by developing and implementing innovative solutions that are effective, sustainable, and scalable. These individuals combine their passion for positive change with their entrepreneurial skills to create new approaches that can lead to significant social impact.
The process of social innovation begins with identifying a specific social issue or problem that needs to be addressed. Social innovators then research and analyze the issue, seeking to understand its root causes and identify possible solutions.
Next, they brainstorm and generate ideas for new approaches or interventions that can address the issue more effectively than existing methods. These ideas may involve the combination of different elements, such as technologies, social practices, and business models, which together can lead to novel solutions.
In summary, a social innovator is a social entrepreneur who creates something new by combining diverse and different elements to address social problems. Their approach includes identifying the issue, generating innovative ideas, testing and refining solutions, and scaling up for maximum impact.
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All the following are examples of variable costs, except. a. labor costs. b. cost of raw materials. c. accounting fees. d. electricity cost.
The correct answer is c. accounting fees.
Variable costs are expenses that vary in proportion to changes in the level of output or activity of a business.
They increase as production or activity increases and decrease as production or activity decreases.
Labor costs (a), cost of raw materials (b), and electricity costs (d) are examples of variable costs because they increase or decrease depending on the level of productivity or activity.
Accounting fees (c) are typically a fixed cost, meaning they do not vary with the level of production or activity. Accounting fees are typically a set amount, regardless of how much a company produces or how busy they are.Variable costs are an important concept in cost accounting and financial management because they have a direct impact on a company's profitability. By understanding which costs are variable, companies can better manage their expenses and plan for different levels of production or activity.
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Accounting fees are variable costs are costs that change proportionally with the level of output or activity of a business. They are expenses that increase or decrease as production or sales increase or decrease.
The three examples of variable costs listed are:
a. Labor costs - these costs include wages, salaries, benefits, and payroll taxes paid to employees who work directly on the production or sale of goods or services. As production or sales increase, labor costs increase, and vice versa.
b. Cost of raw materials - these costs include the expenses incurred in acquiring the raw materials needed for production, such as the cost of goods sold, packaging, and shipping. As production or sales increase, the cost of raw materials also increases.
c. Accounting fees - on the other hand, are not considered variable costs because they are typically fixed or semi-fixed costs that do not change with the level of output or activity of a business. They are expenses that are incurred regularly, regardless of how much a business produces or sells.
d. Electricity cost - these costs include the expenses incurred in running equipment, machinery, and lighting. As production or sales increase, the electricity costs also increase.
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___________ occurs when a supervisor earns less than his or her subordinates
a) Role conflict
b) Role ambiguity
c) status incongruence
d) informal status
The "status incongruence" occurs when a supervisor earns less than his or her subordinates. The correct option is C.
Status incongruence is a term used to describe a situation where an individual's position or rank within a social hierarchy is incongruent or inconsistent with their income, power or prestige.
In the workplace, the supervisor earns less than subordinates, that can lead to low job satisfaction, low morale, and decreased productivity. There are several supervisor role like counselor, director, and sponsor.
Therefore, the correct option is C, which is status incongruence.
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Mannix Corporation stock currently sells for $110 per share. The market requires a return of 9 percent on the firm's stock. If the company maintains a constant 4 percent growth rate in dividends, what was the most recent dividend per share paid on the stock?
The most recent dividend per share paid on the stock was $3.36.
We can use the constant growth model to solve for the most recent dividend per share paid on the stock. The formula for the constant growth model is:
D1 = D0 × (1 + g)
Where:
D1 = the dividend to be paid next year
D0 = the most recent dividend paid
g = the constant growth rate of dividends
We know that the market requires a return of 9 percent on the firm's stock, which means that the cost of equity (Ke) is 9%. We also know that the company maintains a constant 4 percent growth rate in dividends (g = 0.04).
Therefore, we can use the following formula to solve for D0:
D0 = D1 ÷ (1 + Ke - g)
Since we don't have the value of D1, we need to solve for it using the formula:
P0 = D1 ÷ (Ke - g)
Where:
P0 = the current stock price
We know that the current stock price is $110, Ke = 9%, and g = 4%. Plugging these values into the formula, we get:
$110 = D1 ÷ (0.09 - 0.04)
Solving for D1, we get:
D1 = $110 × (0.09 - 0.04) = $5.50
Now that we have D1, we can use the formula for D0 to solve for the most recent dividend per share paid on the stock:
D0 = $5.50 ÷ (1 + 0.09 - 0.04) = $3.36
Therefore, the most recent dividend per share was $3.36.
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if a firm permanently borrows $100 million at an interest rate of 8 percent, what is the present value of the interest tax shield? (assume that the marginal corporate tax rate is 21 percent.)
The present value of the interest tax shield for the firm is $21 million.
How to calculate the present valueWhen a firm borrows money, it receives an interest tax shield, which is a tax deduction on the interest paid.
In this case, the firm has borrowed $100 million at an interest rate of 8 percent, which leads to an annual interest expense of $8 million ($100 million * 0.08).
The marginal corporate tax rate is 21 percent, so the interest tax shield can be calculated as the annual interest expense multiplied by the tax rate.
Interest Tax Shield = Annual Interest Expense * Tax Rate
Interest Tax Shield = $8 million * 0.21
Interest Tax Shield = $1.68 million
The present value of the interest tax shield depends on the time frame and discount rate.
Since it's a permanent loan, the tax shield is a perpetuity, which can be calculated by dividing the annual tax shield by the discount rate.
Assuming the discount rate is equal to the interest rate (8 percent), the present value of the interest tax shield can be calculated as follows:
PV of Interest Tax Shield = Interest Tax Shield / Discount Rate
PV of Interest Tax Shield = $1.68 million / 0.08
PV of Interest Tax Shield = $21 million
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the degree to which people believe a person has their best interests in mind is known as:
The degree to which people believe a person has their best interests in mind is known as perceived benevolence or perceived trustworthiness.
People's perceptions of someone's goodness or trustworthiness might be gauged by how much they think that person has their best interests in mind. Factors including the person's behaviour, communication style, reputation, and degree of competence can all have an impact on this. those are more likely to trust those they believe to be trustworthy, honest, and truly concerned about their welfare.
Building and sustaining healthy relationships, both personally and professionally, might depend on this degree of trust.
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The degree to which people believe a person has their best interests in mind is known as perceived benevolence or perceived trustworthiness. People's perceptions of someone's goodness.
or trustworthiness might be gauged by how much they think that person has their best interests in mind. Factors including the person's behaviour, communication style, reputation, and degree of competence can all have an impact on this. those are more likely to trust those they believe to be trustworthy, honest, and truly The degree to which people believe a person has their best interests in mind is known as perceived benevolence or perceived benevolence trustworthiness. People's perceptions of someone's goodness or trustworthiness might be gauged by how much they think that person has their best interests in mind. Factors including the person's behaviour, communication style, reputation, and degree of competence can all have an impact on this. those are more likely to trust those they believe to be trustworthy, honest, and truly concerned about their welfare. concerned about their welfare. Building and sustaining healthy relationships, both personally and professionally, might depend on this degree of trust.
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In many nonindustrial societies, adolescence is considered to be either nonexistent or NON existant or growth leading too Sexual maturityq (true or false)
False. In many nonindustrial societies, adolescence is considered to be a distinct period of life, characterized by physical, cognitive, and social changes, although the concept and experience of adolescence may differ from that of industrial societies.
In many nonindustrial societies, adolescence is seen as a transitional period between childhood and adulthood, marked by physical changes such as growth spurts and the onset of puberty, as well as social and cultural changes such as increased responsibilities, initiation rites, and gender roles.
However, the experience of adolescence may vary greatly across different nonindustrial societies, depending on factors such as cultural values, economic conditions, and religious beliefs. For example, some societies may emphasize the importance of marriage and childbearing for adolescent girls, while others may encourage exploration and experimentation before settling into adult roles.
Overall, while the concept of adolescence may not be universal or static, it remains an important period of development and transition in many nonindustrial societies.
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the candle shop experienced the following events during its first year of operations: acquired cash by issuing common stock. paid a cash dividend to the stockholders. paid cash for operating expenses. borrowed cash from a bank. provided services and collected cash. purchased land with cash. determined that the market value of the land is higher than the historical cost.
The candle shop experienced several events during its first year of operations. Firstly, they acquired cash by issuing common stock.
This means that they sold ownership shares in the company to investors in exchange for cash. Secondly, they paid a cash dividend to the stockholders, which is a distribution of profits to shareholders. Thirdly, they paid cash for operating expenses, which are the costs incurred in running the business such as rent, utilities, and wages. Fourthly, they borrowed cash from a bank, which means they took out a loan that they will have to pay back with interest. Fifthly, they provided services and collected cash, which means they sold candles and received payment for them.
Lastly, they purchased land with cash. However, they determined that the market value of the land is higher than the historical cost. This means that the value of the land has increased since they bought it, which is good news for the business.
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The common stock of NCP paid 1.32 in dividends last year. Dividends are expected to grow at an 8% annual rate for an indefinite number of years.
a. If NCP's current market price is $23.50 per share, what is the stock's expected rate of return?
b. If your required rate of return is 10.5 %, what is the value of the stock for that investor?
c. Should you make the investment?
Given that your required rate of return is 10.5% and the stock value ($57.024) is higher than the current market price ($23.50), it is clear that the stock is undervalued and would be a wise investment.
We'll be using the Dividend Discount Model (DDM) to solve the problem.
a. To calculate the stock's expected rate of return, we'll use the following formula:
Expected Rate of Return = (Dividend1 / Current Market Price) + Dividend growth rate
First, we need to find Dividend1, which is the dividend for the next year. We have:
Dividend0 = $1.32 (last year's dividend)
Dividend Growth Rate = 8%
Dividend1 = Dividend0 * (1 + Dividend Growth Rate)
Dividend1 = $1.32 * (1 + 0.08)
Dividend1 = $1.4256
Now, we can calculate the expected rate of return:
Expected Rate of Return = ($1.4256 / $23.50) + 0.08
Expected Rate of Return = 0.06066 + 0.08
Expected Rate of Return = 0.14066 or 14.066%
b. To find the value of the stock for an investor with a required rate of return of 10.5%, we'll use the DDM formula:
Stock Value = Dividend1 / (Required Rate of Return - Dividend Growth Rate)
Stock Value = $1.4256 / (0.105 - 0.08)
Stock Value = $1.4256 / 0.025
Stock Value = $57.024
c. To determine if you should make the investment, compare the stock value with the current market price. In this case:
Stock Value = $57.024
Current Market Price = $23.50
Since the stock value ($57.024) is greater than the current market price ($23.50), it indicates that the stock is undervalued, and it would be a good investment based on your required rate of return of 10.5%.
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The one-year interest rate is 4%. The interest rate for a two-year security is 6%. According to the unbiased expectations theory, the one-year interest rate one year from now must be equal to A. 8.00% B. 8.04% C. 10.00% D. 5.00%.
According to the unbiased expectations theory, the one-year interest rate one year from now must be equal to 8.04%. The answer is B.
According to the unbiased expectations theory, the expected future one-year interest rate one year from now (i.e., R₁₁) equals the average of the expected future one-year interest rate today (i.e., E(R₁₁)) and the current two-year interest rate (i.e., R₂₁).
Mathematically, this can be represented as:
E(R₁₁) = (R₂₁ + R₁₀) / 2
where R₁₀ is the current one-year interest rate.
Rearranging the equation to solve for E(R₁₁), we get:
E(R₁₁) = 2 × E(R₁₁) - R₁₀
Substituting the given values, we get:
8% = 2 × E(R₁₁) - 4%
Solving for E(R₁₁), we get:
E(R₁₁) = (8% + 4%) / 2 = 6%
Therefore, according to the unbiased expectations theory, the expected future one-year interest rate one year from now is 6%.
However, since the two-year interest rate is expected to be 6%, the expected increase in the one-year interest rate is 2%, given by:
E(R₁₁) - R₁₀ = 6% - 4% = 2%
Therefore, the expected future one-year interest rate one year from now is: R₁₁ = R₁₀ + 2% = 4% + 2% = 6%
But since we're looking for the one-year interest rate one year from now, we need to add another year's interest at this rate, giving us a future value of:
(1+6%)² = 1.06² = 1.1236
Converting this back to an interest rate gives us:
R₁₁ = (1.1236 - 1) × 100% = 12.36%
However, we're looking for the one-year interest rate one year from now, not the two-year interest rate. Therefore, we need to solve for the one-year interest rate that would give us the same future value of 1.1236, given by:
(1+R₁₁) = (1+4%) × (1+E(R₁₁))
Substituting E(R₁₁) = 6%, we get:
(1+R₁₁) = (1+4%) × (1+6%)
Solving for R₁₁, we get:
R₁₁ = 8.04%
Therefore, according to the unbiased expectations theory, the one-year interest rate one year from now must be 8.04%.
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The one-year interest rate in one year must be the same as 8.04%, according to the unbiased expectations hypothesis. The solution is B.
The projected future one-year interest rate in one year is predicted by the unbiased expectations hypothesis. (i.e., R₁₁) equals the average of the expected future one-year interest rate today (i.e., E(R₁₁)) and the current two-year interest rate (i.e., R₂₁).
E(R₁₁) = (R₂₁ + R₁₀) / 2
Here R₁₀ is the current one-year interest rate.
Solve for E(R₁₁), we get:
E(R₁₁) = 2 × E(R₁₁) - R₁₀
Substituting the given values, we get:
8% = 2 × E(R₁₁) - 4%
Solving for E(R₁₁), we get:
E(R₁₁) = (8% + 4%) / 2 = 6%
As a result, the unbiased expectations theory predicts that one year from now, the interest rate will be 6%.
However, because a 6% increase in the two-year interest rate is anticipated, a 2% increase in the one-year interest rate is predicted instead.
E(R₁₁) - R₁₀ = 6% - 4% = 2%
Therefore, the expected future one-year interest rate one year from now is: R₁₁ = R₁₀ + 2% = 4% + 2% = 6%
(1+6%)² = 1.06² = 1.1236
Converting this back to an interest rate gives us:
R₁₁ = (1.1236 - 1) × 100% = 12.36%
But rather than the two-year interest rate, we're interested in the rate that will apply in one year. Therefore, we must find the one-year interest rate that will result in the same future value of 1.1236 using the following formula:
(1+R₁₁) = (1+4%) × (1+E(R₁₁))
Substituting E(R₁₁) = 6%, we get:
(1+R₁₁) = (1+4%) × (1+6%)
Solving for R₁₁, we get:
R₁₁ = 8.04%
Therefore, according to the unbiased expectations theory, the one-year interest rate one year from now must be 8.04%.
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be 9 yes Financial results may a misleading indicator of strategic health of a company do you agree with this statement? Explain start with with this statement or agree I do not agree Strictly one page: Strateg-effectiveness effia oncy - financial is operations : *Machoki - Readings FOC FIDEL MWAKI 4 COMPANY ADVOCATES$
I agree with the statement that financial results may be a misleading indicator of the strategic health of a company. While financial performance is undoubtedly important, it cannot be the only metric for evaluating a company's overall success.
A company may have strong financial results but still struggle with operational efficiency, or its strategic goals may not align with its financial performance.
For example, a company may have achieved high profitability through cost-cutting measures, but at the expense of investing in long-term growth opportunities.
Alternatively, a company may have incurred short-term losses in pursuit of a strategic shift that will position it for long-term success.
Therefore, it is essential to evaluate a company's overall strategy, effectiveness, efficiency, and operations alongside financial performance to gain a comprehensive understanding of its strategic health. Focusing solely on financial results can lead to a short-sighted view of a company's long-term prospects.
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A company's formal and informal arrangements of tasks, responsibilities, and lines of authority and communications make up the company's _organizational structure. (true or false)
The given statement "A company's formal and informal arrangements of tasks, responsibilities, and lines of authority and communications make up the company's organizational structure." is True.
Organizational structure refers to the formal and informal arrangements of tasks, responsibilities, lines of authority and communication within a company. It defines the relationships among different positions and departments in an organization and how information flows between them. A well-designed organizational structure can help a company achieve its goals and objectives by clarifying roles and responsibilities, improving efficiency, and reducing conflicts. On the other hand, a poorly designed organizational structure can lead to confusion, inefficiency, and even failure.
The formal aspect of organizational structure includes the hierarchical arrangement of positions and reporting relationships, job descriptions, and the distribution of authority and decision-making power. The informal aspect refers to the social network of communication and relationships that exist within the organization, such as friendships, cliques, and informal channels of communication.
A company's organizational structure can be influenced by various factors such as its size, culture, strategy, and environment. It can be designed to be centralized, decentralized, or matrix, depending on the needs of the company. Ultimately, a well-designed organizational structure can help a company achieve its goals and objectives by clarifying roles and responsibilities, improving efficiency, and reducing conflicts.
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what is the central role of financial intermediaries in a market economy?group of answer choicesproviding safe deposit boxes for people and businessesthe creation and printing of moneybringing together savers and borrowerskeeping the price level stable
The central role of financial intermediaries in a market economy is bringing together savers and borrowers.
Financial intermediaries are generally used for financial transactions. This usually takes place between different banks.
These types of intermediaries lower the cost of doing business. For leasing purposes, we should use financial intermediaries, and also defer ourselves from accepting credits from the public in this scenario.
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the upper paleolithic refers to the time period between ___________ and ___________ years ago.
The upper paleolithic refers to the time period between 50,000 and 10,000 years ago.
The Upper Paleolithic had a cultural explosion on par with the Renaissance. Many of the human traditions that serve as the cornerstone of modern social life initially appeared during the Upper Paleolithic, commonly referred to as the Late Stone Age.
Dates for the Upper Paleolithic range from 50,000 to 10,000 years ago. African, European, and Asian populations of several human types coexisted during this period. They significantly improved instruments and artistic mediums. Materials that were readily available locally were used to create Upper Paleolithic art. Local flora were used to create dyes, and sculptures were carved out of a range of materials.
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Using Return Distributions Suppose the returns on long-term government bonds are normally distributed. Based on the historical record, what is the approximate probability that your return on these bonds will be less than −3.9 percent in a given year? What range of returns would you expect to see 95 percent of the time? What range would you expect to see 99 percent of the time?
The Range of return of the following is given as:
The probability that the return will be less than -3.9% is 16%The required range of returns for 95 percent of the time for long term government bonds is -13.7% to 25.5%.The range of returns for 99 percent of the time for long term government bonds is -23.5% to 35.3%.Any type of investment instrument, including real estate, bonds, equities, and fine art, can be subject to a rate of return (RoR). Any asset can be used with the RoR as long as it is acquired once and generates cash flow at some point in the future.
The attractiveness of various investments may be determined, in part, by comparing their historical rates of return to those of comparable assets. A needed rate of return is frequently chosen by investors before making an investment decision.
Return range for a security with returns of normal distribution:
When a security's returns are regularly distributed, they are symmetrical around the mean return amount. There is a 68% likelihood that the return in this situation will be within one standard deviation of the mean. A 95% possibility exists that the return will fall between two standard deviations of the mean. Additionally, there is a 99% likelihood that the return will fall within a three standard deviation range of the mean.
With the standard deviation([tex]\sigma[/tex]) and the mean (R) , different probability of the return to fall in a range are mentioned below.
Probability Range
About 68% → [tex]R \pm \sigma[/tex]
About 95% → [tex]R \pm 2\sigma[/tex]
About 95% → [tex]R \pm 3\sigma[/tex]
The approximate probability that your return on these bonds will be less than −3.9 percent in a given year:
[tex]R \pm \sigma =[/tex] (5.9 - 9.8) to (5.9 + 9.8)
= -3.9% to 15.7%.
Hence, the approximate probability that the return will be less than -3.9% is 16%.
With standard deviation = 9.8% and mean = 5.9%
[tex]R \pm 2\sigma =[/tex] (5.9 - 2x9.8) to (5.9 + 2x9.8)
= (5.9% - 19.6%) to (5.9% + 19.6%)
= -13.7% to 25.5%
Hence the required range of returns for 95 percent of the time for long term government bonds is -13.7% to 25.5%.
With standard deviation = 9.8% and mean = 5.9%
[tex]R \pm 3\sigma =[/tex] (5.9 - 3x9.8) to (5.9 + 3x9.8)
= (5.9% - 29.4%) to (5.9% + 29.4%)
= -23.5% to 35.3%
Hence, required range of returns for 99 percent of the time for long term government bonds is -23.5% to 35.3%.
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A new three-year CMO has two tranches. The 'A' tranche has a principal of $28.9 million with an annual.coupon of 3.25%. The 'Z' tranche has a coupon of 5.21% with a principal of $34.7 million. The mortgages backing the security issue have a fixed rate of 6.17% with a maturity of three years. All payments are made and compounded annually at the end of the year. The issue will be over-collateralized with $4.7 million of equity. Priority payments made to the 'A' tranche will consist of A's promised coupon, all mortgage pool amortization, and any interest accrued to the "Z' tranche. Once the 'A' tranche has been repaid, the 'Z' tranche will start to receive its own interest and all mortgage pool amortization. The equity class will only get residual cash flows. How much total cash flow will be received by the 'A' tranche in year 1 of the CMO? $21.75 million $22.35 million $22.96 million $23.56 million $24.17 million Previous Page Next Page Page 12 of 25
The total cash is $12.37945 million.
How to find the total cash flow?The total cash flow received by the 'A' tranche in year 1 of the CMO can be calculated as follows:
Total mortgage pool interest = $28.9 million * 3.25% = $0.93825 million
Total interest payable to 'Z' tranche = $34.7 million * 5.21% = $1.80787 million
Total interest available to 'A' tranche = $0.93825 million + $1.80787 million = $2.74612 million
As the mortgages are fixed-rate, the principal repayment will be equal in every year. Therefore, the principal repayment for the first year will be equal to the total principal of the CMO minus the total equity, which is:
Total principal - Equity = $28.9 million + $34.7 million - $4.7 million = $58.9 million
Hence, the total cash flow received by the 'A' tranche in year 1 will be:
Total interest available to 'A' tranche + Principal repayment to 'A' tranche = $2.74612 million + ($28.9 million / 3) = $2.74612 million + $9.63333 million = $12.37945 million
Therefore, the answer is $12.37945 million.
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8. Determine the beta of a portfolio formed by 30% risk-free asset, 25% stocks of UBS with a volatility of 15% and with a beta of 0.8; 65% in Unilever stocks with a variance of 0.0012 and a beta equal to 0,6 and a short selling position equal to 20% in corporate bonds of Eon with a beta of 0,3. A) Beta between 0, 45 and 0,55 B) Beta between 0,6 and 0,7 C) Beta between 0,33 and 0,43 D) None of the above
The beta of the given portfolio is beta between 0.45 and 0.55 Therefore, the correct option is A.
To determine the beta of a portfolio, we need to calculate the weighted average of the betas of each component in the portfolio. Given the information in your question, we have:
1. 30% risk-free asset (beta = 0)
2. 25% UBS stocks (beta = 0.8)
3. 65% Unilever stocks (beta = 0.6)
4. -20% Eon corporate bonds (short selling, beta = 0.3)
Now, we'll calculate the weighted average beta:
Portfolio beta = (0.30 * 0) + (0.25 * 0.8) + (0.65 * 0.6) + (-0.20 * 0.3)
Portfolio beta = (0) + (0.2) + (0.39) + (-0.06)
Portfolio beta = 0.53
Based on the calculated portfolio beta of 0.53, the correct answer is A) Beta between 0.45 and 0.55.
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Imagine that your city decides to enact a rent-control law that limits the price of a one-bedroom apartment to $ 600 per month. Using the table below, answer the following questions.
Monthly rent Quantity demanded Quantity supplied
$500 800 140
$550 650 210
$600 500 280
$650 350 350
$700 200 420
Part 1
What is the market price without rent control? $
Part 2
How many one-bedroom apartments will be rented after the rent control law is passed?
A rent control law is a price cap rule that lowers the cost of renting an apartment but deters property owners from renting out their apartments.
Does rent regulation represent a pricing floor or ceiling solution?Rent control is a prime example of a price cap. Price ceiling refers to the maximum amount that, under the law, a seller may charge for a good or service. A landlord's ability to charge rent is restricted by rent control.
Does rent regulation represent a price floor? Is it real or not?A price ceiling, not a price floor, is what rent control is an example of. This is so because rent control limits the highest price a landlord may charge a tenant. A price floor is the lowest permitted price.
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Answer:part 1 is 650$ part 2 is 280
Explanation:
As a fresh graduate from the Master of Finance and Accounting, you have just been employed in a very reputable organization. The company is contemplating whether to rent a house or buy an outright house for people of your calibre to be used as an official resident for your position as a finance director. If the company should rent a house, they would have to pay a monthly rent of US$2,500.00 to a real estate company. However, the same real estate company is selling a house of similar features to be paid for over 25 years. The cost of the house is US$350,000. The company require a down payment of 25% of the total sum require before it would seal the deal for the company to own the house forever. The company has also realized that if it buys a piece of land in Ghana, it could build such as a house which may cost at least 20% less the sum requires for this mortgage facility. However, the company is concerned about some issues surrounding the acquisition of properties in Ghana. Also, since the company is operating in Ghana, it is pricing its products in Ghana cedis but had to pay in dollars. A host of other considerations surrounding this deal has been discussed at the management level. As a finance director you are expected to provide expert advice to your company based on the following:
Requirements
a. Determine the monthly payment of the mortgage facility assuming that the interest rate on the loan is 8%.
b. Show a four monthly amortization schedule for this mortgage facility.
c. Based on your computation of the monthly mortgage repayment, advise whether the company should purchase the mortgage facility or pay rent forever?
d. What are the three challenges of mortgage acquisition in Ghana? e. Provide three ways government should do to make mortgage acquisition attractive in Ghana?
a. The monthly payment of the mortgage facility would be US$1,862.30 assuming an interest rate of 8% and a loan term of 25 years.
b. Month | Beginning Balance | Payment | Interest | Principal | Ending Balance
1 | $262,500.00 | $1,862.30 | $1,750.00 | $112.30 | $262,387.70
2 | $262,387.70 | $1,862.30 | $1,747.90 | $114.40 | $262,273.30
3 | $262,273.30 | $1,862.30 | $1,745.80 | $116.50 | $262,156.80
4 | $262,156.80 | $1,862.30 | $1,743.60 | $118.70 | $262,038.10
c. Based on the computation of the monthly mortgage repayment, it may be financially beneficial for the company to purchase the house instead of paying rent forever. However, other factors such as the availability of funds for the down payment and the company's long-term plans should also be considered.
d. Three challenges of mortgage acquisition in Ghana include high-interest rates, difficulty in obtaining financing, and lack of transparency in the real estate sector.
e. To make mortgage acquisition more attractive in Ghana, the government should consider implementing policies such as reducing interest rates, providing incentives for mortgage lenders, and improving transparency in the real estate sector.
Additionally, the government could also consider introducing affordable housing schemes to help low and middle-income earners own homes.
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