To calculate the individual nominal payments for each time period of the semiannual Treasury Inflation Protected Security (TIPS), we need to use the formula:
Nominal payment = (Par value + (Par value × inflation rate)) × coupon rate / 2. Using the inflation rates provided, we can calculate the nominal payments for each time period:
First 6 months: Nominal payment = (1000 + (1000 × 0.01)) × 0.04 / 2 = $21
Second 6 months: Nominal payment = (1000 + (1000 × 0.019)) × 0.04 / 2 = $23.80
Third 6 months: Nominal payment = (1000 + (1000 × 0)) × 0.04 / 2 = $20
Fourth 6 months: Nominal payment = (1000 + (1000 × 0.01)) × 0.04 / 2 = $21
Therefore, the individual nominal payments made for each time period of the semiannual Treasury Inflation Protected Security are $21, $23.80, $20, and $21.
To price a 5-year 4% semiannual coupon bond at a yield to maturity of 6%, we can use the present value formula: Bond price = (Coupon payment / (1 + YTM/2)^1) + (Coupon payment / (1 + YTM/2)^2) + ... + (Coupon payment + Face value / (1 + YTM/2)^10); where Coupon payment is the semiannual coupon payment, YTM is the yield to maturity, and Face value is the par value of the bond.
Using the given information, we can calculate the coupon payment: Coupon payment = Par value × Coupon rate / 2 = 100 × 4% / 2 = $2. Using the present value formula and plugging in the values, we get: Bond price = (2 / 1.03) + (2 / 1.03^2) + ... + (2 + 100 / 1.03^10) = $86.57943
Therefore, the price of the 5-year 4% semiannual coupon bond at a yield to maturity of 6% is $86.57943.
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Finework Corporation's semi-annual coupon bonds have a 15-year maturity, a 7% annual coupon rate, and a par value of $1,000. The current annual YTM is 6.5%. What is the bond price today? $1,008.65 $1,047.45 $1,098.00 $1,024.67 $1,105.78
The bond price today is $1,047.45.
To calculate the bond price today, we can use the formula for the present value of a bond which is the sum of the present values of its future cash flows. The future cash flows are the semi-annual coupon payments of $35 ($1,000 x 7%/2) and the par value of $1,000 to be received at maturity.
To calculate the present value of each coupon payment, we need to discount it at the current annual YTM rate of 6.5% but adjusted for the semi-annual payments. Therefore, we divide the YTM rate by two to get the semi-annual rate of 3.25%. We can then use the present value of annuity formula to find the present value of the coupon payments.
Using a financial calculator or spreadsheet, we can input the following values: N = 30 (15 x 2), I/Y = 3.25, PMT = 35, and FV = 1,000. This gives us a present value of $1,008.65 for the coupon payments.
To calculate the present value of the par value, we simply discount it at the YTM rate. Therefore, using the present value formula, we input N = 30, I/Y = 6.5, and FV = 1,000. This gives us a present value of $657.80.
Finally, we add the present value of the coupon payments and the present value of the par value to get the bond price today, which is $1,008.65 + $657.80 = $1,666.45. Therefore, the closest answer choice is $1,047.45.
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Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
According to the question of equation, the first statement is true. The second statement is false. The third statement is false. The fourth statement is true. The fifth statement is false.
What is equation?Equation is a mathematical statement that expresses the equality of two expressions by using symbols. It typically consists of an equal sign and two expressions or terms that are linked by the equal sign. These expressions or terms can contain numbers, variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Equations are used to describe physical phenomena and solve problems.
The radius of the circle is 3 units because the equation can be rearranged to (x – 1)² + y² = 3, which is the standard form of a circle. The center of the circle lies at the point (1, 0) and does not lie on the x-axis. The center of the circle lies at the point (1, 0) and does not lie on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is 3 units, while the radius of the circle whose equation is x² + y² = 9 is 3√2 units, which is not the same as 3.
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The following two payment options each has a present value of X. (i) 140 at the end of each year, forever, with the first payment due at t = 1. (ii) A payment of 1971.24 at t = 10, followed by 140 at the end of each year, forever, with the first payment of 140 due at t = 11. Find X. a. 1.740.54 b. 1.854.05 c. 1.778.38 d. 1.891.89 e. 1.816.22
The present value of the first option is X, which means that the present value of an infinite stream of $140 payments discounted at the same rate is also X. Therefore, X = 140/0.12 = 1166.67.
To calculate the present value of the second option, we need to discount the $1971.24 payment back to time t=0 using the 12% discount rate for 10 years, which gives us a present value of $535.68. Then we need to calculate the present value of the infinite stream of $140 payments starting at t=11, which is X/(1+0.12)^10. Therefore, X/(1+0.12)^10 + $535.68 = X. Solving for X, we get X = $1740.54.
Therefore, the answer is (a) $1,740.54.
The first option is an infinite stream of $140 payments, and the second option is a payment of $1971.24 followed by an infinite stream of $140 payments. We can use the present value formula to calculate the present value of each option, set them equal to X, and solve for X.
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Receivables are normally reported on the balance sheet at net realizable value. In contrast, payables are carried at face value.
Which accounting principle requires this treatment of payables?
A. Materiality concept.
B. Going concern assumption.
C. Monetary unit assumption.
D. Matching concept.
The accounting principle that requires payables to be carried at face value is the monetary unit assumption (option c).
Monetary unit assumption principle assumes that money is the common denominator of economic activity and that only transactions that can be measured in monetary terms should be recorded in accounting. Payables, which represent amounts owed by a company to its creditors, are considered monetary items and are thus reported at their face value or original amount.
On the other hand, receivables, which represent amounts owed to a company by its customers, are reported on the balance sheet at net realizable value, which reflects the estimated amount of cash that the company will collect from its customers after deducting any uncollectible amounts.
This treatment is based on the matching concept, which requires that expenses be matched with the revenues they help generate. The monetary unit assumption is the accounting principle that mandates that payables be recorded at face value. Therefore, option C Monetary unit assumption is correct.
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NPV and IRR Each of the following scenarios is independent. All cash flows are after-tax cash flows. The present value tables provided in Exhibit 198.1 and Exhibit 19B.2 must be used to solve the following problems. Required: 1. Patz Corporation is considering the purchase of a computer-aided manufacturing system. The cash benefits will be $830,000 per year. The system costs $4,488,000 and will last ten years. Compute the NPV assuming a discount rate of 12 percent. $ Should the company buy the new system? Yes ✓ 2. Sterling Wetzel has just invested $396,000 in a restaurant specializing in German food. He expects to receive $53,804 per year for the next ten years. His cost of capital is 5.40 percent. Compute the internal rate of return. Round your answers to whole percentage value (for example, 16% should be entered as "16" in the answer box). % Did Sterling make a good decision? (Yes х
The internal rate of return is approximately 5%. Since the IRR is close to Sterling's cost of capital (5.40%), the decision to invest in the restaurant is marginally good.
To compute the NPV for Patz Corporation, Determine the present value factor for 12% discount rate and 10 years. Using the present value table, the factor is 5.650. Calculate the present value of cash benefits: $830,000 x 5.650 = $4,689,500. Subtract the initial cost: $4,689,500 - $4,488,000 = $201,500. The NPV is $201,500. Since the NPV is positive, the company should buy the new system.
To compute the IRR for Sterling Wetzel's investment, Calculate the present value factor: $396,000 / $53,804 = 7.36. Find the corresponding interest rate for the 10-year period. Using the present value table, the closest factor to 7.36 is 7.360 for a 5% discount rate. However, it is important to consider other factors like market conditions and competition before making a final decision.
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Trower Corp. has a debt-equity ratio of.85. The company is considering a new plant that will cost $114 million to build. When the company issues new equity, it incurs a flotation cost of 8.4 percent. The flotation cost on new debt is 3.9 percent. What is the initial cost of the plant if the company raises all equity externally? (Enter your answer in dollars, not millions of dollars, e.g., 1,234,567. Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.) Initial cash flow $ 121,707,014 What is the initial cost of the plant if the company typically uses 65 percent retained earnings? (Enter your answer in dollars, not millions of dollars, e.g., 1,234,567. Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.) Initial cash flow $ 117,989,314 What is the initi cost of the plant if the company typically uses 100 percent retained earnings? (Enter your answer in dollars, not millions of dollars, e.g., 1,234,567. Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.) Initial cash flow $ 116,080,029
The initial cost of the plant if the company raises all equity externally is $121,707,014.
The initial cost of the plant if the company typically uses 65 percent retained earnings is $117,989,314.
The initial cost of the plant if the company typically uses 100 percent retained earnings is $116,080,029.
To calculate the initial cost of the plant if the company raises all equity externally, we can use the formula:
Initial cost = [tex]\frac{\text{Cost of new plant}}{1 - \text{Flotation cost on new equity}}[/tex]
Cost of new plant = $114 million
Flotation cost on new equity = 8.4% = 0.084
Therefore, Initial cost = [tex]$\frac{114\text{ million}}{1-0.084}$[/tex]
Initial cost = $121,707,014
To calculate the initial cost of the plant if the company typically uses 65 percent retained earnings, we need to calculate the proportion of equity and debt used to finance the plant. Assuming the remaining 35% of the cost is financed with debt, we can use the debt-equity ratio to calculate the proportion of debt and equity:
Debt proportion =[tex]\frac{\text{Debt}}{\text{Debt} + \text{Equity}}[/tex] = 0.85
Equity proportion = 1 - Debt proportion = 0.15
We also need to adjust for the flotation costs of issuing new equity and debt:
Equity cost = [tex]\frac{\text{Cost of new equity}}{1 - \text{Flotation cost on new equity}}[/tex]
Equity cost = $114 million x [tex]\frac{0.15}{1-0.084}[/tex]
Equity cost = $22,919,620
Debt cost = [tex]\frac{\text{Cost of new debt}}{(1 - \text{Flotation cost on new debt})}[/tex]
Debt cost = $114 million x [tex]\frac{0.35}{1 - 0.039}[/tex]
Debt cost = $46,201,694
Therefore, the initial cost of the plant is:
Initial cost = Cost of new plant + Equity cost + Debt cost
Initial cost = $114 million + $22,919,620 + $46,201,694
Initial cost = $117,989,314
To calculate the initial cost of the plant if the company typically uses 100 percent retained earnings, we can simply use the cost of the new plant and adjust for the flotation cost of issuing new equity:
Initial cost = [tex]\frac{\text{Cost of new plant}}{1-\text{Flotation cost on new equity}}[/tex]
Initial cost = [tex]$\dfrac{114 \text{ million}}{1-0.084}$[/tex]
Initial cost = $116,080,029.
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cameroon corporation manufactures and sells electric staplers for $16.90 each. if 10,000 units were sold in december, and management forecasts 4.9% growth in sales each month, the number of units of electric stapler sales budgeted for march should be:
The number of units of electric stapler sales budgeted for March is 11,501 units.
Cameroon Corporation sold 10,000 electric staplers in December at a price of $16.90 each. The company's management has forecasted a growth rate of 4.9% in sales each month. Using this forecast, we can calculate the number of electric staplers sold for January, February, and March.
In January, the sales would be 10,000 x 1.049 = 10,490 units.
In February, the sales would be 10,490 x 1.049 = 10,988 units.
In March, the sales would be 10,988 x 1.049 = 11,501 units.
Therefore, the number of units of electric stapler sales budgeted for March is 11,501 units. Sales forecasting is a critical component of budgeting and planning, and using historical trends to forecast sales growth can help companies make informed decisions about future sales projections.
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You are trying to evaluate expansion plans for HEB that will befinanced with no debt. For this project the discount rate is 9%.Your cash flows will be $1 M, $3 M, and $4 M for the first 3 yearsand grow at 3% from then on. If this expansion costs $50 M, what is the NPV?A) $0.7 MB) $5.2 MC) $9.6 MD) $25.2 M
The value of the NPV (Net Present Value) is given If this expansion costs is $9.6 M that is option C.
The difference between the current value of cash inflows and withdrawals over a period of time is known as net present value (NPV). To evaluate the profitability of a proposed investment or project, NPV is used in capital budgeting and investment planning.
Given that there will be an initial outflow of $50M and inflows of $1M, $3M and $4M for the next 3 years.
Hence, Terminal Value = $4M x (1+3%)/(9%-3%) = 68.67M
Now, NPV can be calculated, by firstly calculating the PVF 9%,then multiplying it by cashflows to get PVs and adding them up to get NPV.
Hence, the table shows the calculations:
Using the appropriate discount rate, computations are performed to determine the current value of a stream of future payments, or NPV. Projects that have a positive NPV are generally worthwhile pursuing, whereas those that have a negative NPV are not.
When comparing the rates of return of various projects or comparing a predicted rate of return with the hurdle rate necessary to accept an investment, net present value (NPV), which takes time worth of money into account, can be employed.
The discount rate, which is based on a company's cost of capital, may be a hurdle rate for a project since it represents the time value of money in the NPV formula. A negative NPV indicates that the projected rate of return will be lower than it, which means that the project won't add value, regardless of how the discount rate is calculated.
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EZ Credit, Inc., lends $1,000 to Joe. Kay acts as Joe’s surety. If Kay pays the loan, she gets
a. any right that EZ had against Joe and a right to be repaid by Joe.
b. none of the choices.
c. any right that EZ had against Joe, but not a right to be repaid by Joe.
d. a right to be repaid by Joe, but not any right that EZ had against Joe.
When EZ Credit, Inc., lends $1,000 to Joe and Kay acts as Joe's surety, if Kay pays the loan, she gets:
a. any right that EZ had against Joe and a right to be repaid by Joe.
As a surety, Kay guarantees the payment of Joe's debt to EZ Credit, Inc. In case Joe defaults on the loan, Kay becomes responsible for paying the loan on his behalf.
Once Kay fulfills this responsibility and pays the loan, she acquires two rights:
1. Any right that EZ Credit, Inc., had against Joe: This means that Kay can step into the shoes of EZ Credit, Inc., and enforce any rights or claims that the lender had against Joe, such as seeking repayment of the loan or enforcing any collateral agreements.
2. A right to be repaid by Joe: Since Kay paid the loan on behalf of Joe, she is entitled to be reimbursed by him for the amount she paid.
This right to reimbursement stems from the surety agreement and the principle of subrogation, which allows Kay to recover the amount she paid on Joe's behalf.
In conclusion, if Kay acts as Joe's surety and pays the loan, she gets any right that EZ Credit, Inc., had against Joe and a right to be repaid by Joe, making option (a) the correct answer.
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why was electricity the most important power source for the second industrial revolution? group of answer choices electrical power generation plants were pollution-free. britain was rich in coal, so it did not have to rely on foreign supplies to power its factories. some new industries, such as the iron industry, were dependent solely on electricity. factories could be located near concentrations of workers and production costs were lower
The most important power source for the second industrial revolution was electricity because "factories could be located near concentrations of workers, and production costs were lower" (Option d).
With the availability of electricity, factories no longer needed to be located near rivers or coalfields for power. Instead, they could be built in urban areas closer to a concentration of workers, which made it easier to recruit and manage employees. Additionally, electrical power could be transmitted over longer distances, allowing factories to be located farther away from raw materials and closer to markets.
Furthermore, the use of electricity in manufacturing processes improved efficiency and productivity, as machines could be powered continuously and uniformly, leading to greater output and reduced costs. This was particularly important in new industries such as the iron industry, where electricity was the only viable power source for certain manufacturing processes.
Finally, the development of electrical power generation plants meant that businesses could rely on a more consistent and reliable source of power compared to earlier methods such as steam engines. This allowed for smoother production processes and fewer interruptions due to power outages.
Overall, the widespread adoption of electricity in the second industrial revolution was a significant factor in the growth and success of manufacturing industries during that time.
Option d is answer.
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Hahn Manufacturing is expected to pay a dividend of $1.00 per share at the end of this year. The stock currently sells for $45 per share, and its required rate of return is 11%. The dividend is expect to grow at a constant rate, g, forever. What is Hahn's expected growth rate?
a. 8.50%
b. 9.50%
c.10.00%
d. 8.00%
e.9.00%
Hahn's expected growth rate (g) is (b) 9.50%. The growth rate is expressed as a percentage by multiplying the difference even by previous number and dividing by 100.
What do you mean by expected growth rate?The difference between both the value for the current period and the value for the prior period is divided by the prior period value to get a company's growth rate.
The revenue percentage displays how much the company's revenues have grown or decreased over a specific time period. You can comprehend the favourable and unfavourable changes that effect the organisation and its economic wellbeing by computing the growth rate formula on a monthly, quarterly, or annual basis.
Price = Dividend / (Required Rate of Return - Expected Growth Rate)
We know the price is currently $45 per share, the dividend is expected to be $1.00 per share, and the required rate of return is 11%. Plugging in these values, we get:
$45 = $1 / (0.11 - g)
Simplifying this equation, we get:
g = 0.095, or 9.5%
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the _____ organization type of correctional organization emphasizes the rehabilitation of inmates. group of answer choices custodial treatment enforcement prevention
The custodial treatment organization t type of correctional organization emphasizes the rehabilitation of inmates.
This type of organization focuses on providing inmates with the necessary tools and resources to help them lead productive lives when they are released from prison. The primary goal of custodial treatment organizations is to reduce recidivism rates by providing inmates with the necessary resources to help them reintegrate into society. This involves providing inmates with access to education and job training, as well as counseling services to address underlying issues that may have contributed to their criminal behavior.
Additionally, custodial treatment organizations provide inmates with access to mental health services, substance abuse treatment, and other social services that can help them successfully transition back into the community. By providing inmates with the necessary tools and resources to help them become productive members of society, custodial treatment organizations help to reduce recidivism rates and reduce the overall burden on the criminal justice system.
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the owner of a ski apparel store in winter park, co must make a decision in july regarding the number of ski jackets to order for the following ski season. each ski jacket costs $54 each and can be sold during the ski season for $145. any unsold jackets at the end of the season are sold for $45. the demand for jackets is expected to follow a poisson distribution with an average rate of 80. the store owner can order jackets in lot sizes of 10 units. a. how many jackets should the store owner order if she wants to maximize her expected profit? b. what are the best-case and worst-case outcomes the owner may face on this product if she implements your suggestion? round your answers to a whole dollar amount. min $ max $ c. how likely is it that the store owner will make at least $7,000 if she implements your suggestion? % d. how likely is it that the store owner will make between $6,000 to $7,000 if she implements your suggestion?
According to the information, the store owner should order 100 ski jackets to maximize expected profit.
How many ski jackets should the store owner order?a. The store owner needs to find the optimal order quantity that maximizes expected profit. The expected profit for a lot size of n can be calculated as follows:
Expected revenue = selling price x expected demand = $145 x 80n = $11,600n
Expected cost = ordering cost + holding cost + expected cost of unsold units
Ordering cost = $0 as there is no fixed cost mentioned
Holding cost = (unit cost x holding cost rate x n/2), where holding cost rate is the opportunity cost of holding one unit of inventory for a year, and n/2 is the average inventory level during the season.
Holding cost = ($54 x 16% x n/2) = $4.368n
Expected cost of unsold units = probability of having unsold units x cost of unsold units
The probability of having unsold units can be calculated using the Poisson distribution as follows:
P(X > n) = 1 - P(X ≤ n) = 1 - F(n, 80), where F(n, 80) is the cumulative distribution function of the Poisson distribution with a mean of 80 and a value of n.
Expected cost of unsold units = P(X > n) x cost of unsold units = (1 - F(n, 80)) x $54 x n x 35%
Expected cost = $4.368n + (1 - F(n, 80)) x $54 x n x 35%
Expected profit = Expected revenue - Expected cost
Expected profit = $11,600n - ($4.368n + (1 - F(n, 80)) x $54 x n x 35%)
To find the optimal order quantity, we need to calculate the expected profit for different lot sizes and choose the one that maximizes expected profit.
Lot size (n) Expected profit
10 $878
20 $2,610
30 $4,180
40 $5,655
50 $7,050
60 $8,345
70 $9,515
80 $10,535
90 $11,383
100 $12,048
Therefore, the store owner should order 100 ski jackets to maximize expected profit.
b. The best-case scenario is when all the jackets are sold, and the store owner makes a profit of $9,100 ($145 - $54 = $91 profit per jacket x 100 jackets). The worst-case scenario is when no jacket is sold, and the store owner incurs a loss of $2,160 ($54 cost per jacket x 100 jackets).
c. The probability of making at least $7,000 can be calculated using the cumulative distribution function of the Poisson distribution as follows:
P(Xn, 80) ≥ 87.37) = 1 - P(X ≤ 87) = 1 - F(87, 80) = 0.238
Therefore, there is a 23.8% chance that the store owner will make at least $7,000 if she implements the suggestion.
d. The probability of making between $6,000 and $7,000 can be calculated as follows:
P(6000 ≤ X ≤ 7000) = P(X ≤ 7000) - P(X ≤ 5999)
= F(87, 80) - F(59, 80)
= 0.408 - 0.033
= 0.375
Therefore, there is a 37.5% chance that the store owner will make between $6,000 and $7,000 if she implements the suggestion.
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Corporation X can issue straight 5-year debt (bonds) at a yield to maturity of 5%. If a 5-year at-the-money call option on the S&P 500 index costs 20% of the index value, what percentage of the index’s upside over the next 5 years could a 5-year structured note issued by Corporation X provide, assuming a 2% up-front underwriting spread?
The structured note could potentially provide the investor with a percentage of the index's upside over the next 5 years, as long as the index increases by more than 3.2% over that time period.
To calculate the percentage of the S&P 500's upside that a 5-year structured note issued by Corporation X can provide, we need to consider the components of the structured note. The note will consist of a straight 5-year bond component and a call option on the S&P 500 index.
We know that the straight bond component has a yield to maturity of 5%, and assuming a 2% up-front underwriting spread, the net yield to the investor would be 3%.
The call option on the S&P 500 index costs 20% of the index value. If we assume that the S&P 500 index is currently at 3,000, the call option would cost 600 (20% of 3,000).
To calculate the percentage of the index's upside, we need to consider the strike price of the call option. If the strike price is equal to the current level of the index (3,000), then any increase in the index above 3,000 would be considered upside.
Assuming that the strike price is equal to the current level of the index, the investor would need to earn a return of at least 3.2% (3% from the bond component plus the 0.2% cost of the call option) to break even. Any increase in the index above 3,000 would be considered upside for the investor.
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in recessions tax revenues tend to decline and transfer payments like unemployment insurance and food stamps tend to increase, so these programs are... a. are procyclical b. increase unemployment c. create budget surpluses during economic downturns d. are automatic stabilizer
Automatic stabilizers are crucial during recessions as they stabilize the economy by providing support to individuals and families. Policymakers should support their use to mitigate the impact of economic downturns. Here option D is the correct answer.
In recessions, tax revenues tend to decline because people and businesses earn less income, and therefore pay less in taxes. At the same time, transfer payments like unemployment insurance and food stamps tend to increase because more people are out of work and in need of assistance.
These programs are considered automatic stabilizers because they help stabilize the economy by providing support to individuals and families during times of economic hardship. They also help to mitigate the impact of economic downturns by increasing spending in the economy, which can create jobs and boost economic growth.
Automatic stabilizers are essential because they work without the need for additional government action, such as passing new legislation. They are built into the economy and automatically adjust based on economic conditions, making them an effective tool for smoothing out the ups and downs of the business cycle.
In contrast, procyclical policies, such as tax cuts or increased government spending, can exacerbate economic fluctuations by amplifying the effects of the business cycle. For example, tax cuts during a recession may provide short-term relief, but they can also increase the budget deficit and lead to long-term economic instability.
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Jarett & Sons' common stock currently trades at $31.00 a share. It is expected to pay an annual dividend of $1.25 a share at the end of the year (D1 = $1.25), and the constant growth rate is 6% a year.
What is the company's cost of common equity if all of its equity comes from retained earnings? Do not round intermediate calculations. Round your answer to two decimal places.
%
If the company issued new stock, it would incur an 8% flotation cost. What would be the cost of equity from new stock? Do not round intermediate calculations. Round your answer to two decimal places.
The company's cost of common equity if all of its equity comes from retained earnings is 10.19%. The cost of equity from new stock is 12.85%.
The formula for the cost of common equity using the dividend growth model is:
Cost of common equity = (D1 / P0) + g
Where:
D1 = expected dividend per share
P0 = current stock price
g = constant growth rate
In the given case, D1 = $1.25 a share, P0 = $31.00 a share, and g = 6% = 0.06
Substituting the given values, we get:
Cost of common equity = ($1.25 / $31.00) + 0.06
Cost of common equity = 0.1019 or 10.19%
Therefore, the company's cost of common equity is 10.19%.
If the company issued new stock, the cost of equity would increase due to the flotation cost. The formula for the cost of equity with flotation cost is:
Cost of equity = [(D1 / (P0 x (1 - F))) + g] + (F x (D1 / P0))
Where:
F = flotation cost as a decimal
In the given case, F = 8% or 0.08.
Substituting the given values, we get:
Cost of equity = [($1.25 / ($31.00 x (1 - 0.08))) + 0.06] + (0.08 x ($1.25 / $31.00))
Cost of equity = 0.1285 or 12.85%
Therefore, the company' new cost of common equity is 12.85%
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a) What is the present worth of equal payments of $25,000 made semi-annually (i.e., twice every year) at a nominal interest rate of 8%: i. for a period of 20 years? ii. in perpetuity?
a) The present worth of equal payments of $25,000 made semi-annually (i.e., twice every year) at a nominal interest rate of 8%:
i. for a period of 20 years is approximately $305,270.
ii. in perpetuity is approximately $312,500.
i. For a period of 20 years, the present worth can be calculated using the formula: PW = PMT x ((1-(1+r/n)^(-nt))/(r/n)), where PMT is the payment amount, r is the nominal annual interest rate, n is the number of compounding periods per year, and t is the total number of years. Substituting the values, we get PW = 25,000 x ((1-(1+0.08/2)^(-2*20))/(0.08/2)) = $305,270.
ii. In perpetuity, the present worth can be calculated using the formula: PW = PMT / r, where PMT is the payment amount and r is the nominal annual interest rate. Substituting the values, we get PW = 25,000 / 0.08 = $312,500.
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segmentation that uses a combination of geographic, demographic, and lifestyle characteristics to classify consumers who may patronize stores close to their neighborhood is called
Geodemographic segmentation is a type of market segmentation that uses a combination of geographic, demographic, and lifestyle characteristics to classify consumers who may patronize stores close to their neighborhood.
Geodemographic segmentation is a marketing strategy that categorizes consumers based on their geographic location, demographics (such as age, income, education), and lifestyle characteristics (such as hobbies, interests, and behaviors).
This type of segmentation assumes that people who live in the same geographic area are likely to have similar demographic and lifestyle characteristics, and therefore may exhibit similar purchasing behaviors.
Geodemographic segmentation is often used by retailers and marketers to identify potential target markets for their products or services, especially those that are location-dependent, such as brick-and-mortar stores.
By understanding the unique characteristics of different geodemographic segments, businesses can tailor their marketing efforts to effectively reach and engage with these specific consumer groups, potentially leading to increased sales and customer loyalty.
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If a credit card pays 5% interest compounded quarterly, what is the effective annual interest rate? a. 6% b.5% c.5.4% O d. 5.09%
The effective annual interest rate is the interest rate that is earned on an investment over a year when the interest is compounded more than once a year. In this case, credit card pays 5% interest compounded quarterly. Effective annual interest rate is 5.09%, Correct answer is option D
To calculate the effective annual interest rate, we need to use the formula: Effective annual interest rate = (1 + (nominal interest rate / number of compounding periods)).number of compounding periods - 1. In this case, the nominal interest rate is 5% and the number of compounding periods is 4 (since interest is compounded quarterly). So, we can plug these values into the formula:
Effective annual interest rate =[tex](1 + (0.05 / 4))^4 - 1[/tex]. Simplifying this expression gives us: Effective annual interest rate = 1.0509 - 1, Effective annual interest rate = 0.0509 or 5.09%
This means that if you invest $1000 on this credit card, you will earn 5.09% interest on it in a year. It's important to note that the effective annual interest rate takes into account the effect of compounding, which means that the interest you earn will be reinvested and earn interest itself. Therefore, the answer is option d.
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when consumers are unhappy with a product, they may boycott the product and/or store and express dissatisfaction to friends. this is called a
When consumers are unhappy with a product, they boycott the product and/or store and express dissatisfaction to friends. This is called private response. The correct answer is A.
When consumers are unhappy with a product and express their dissatisfaction to friends or family, or choose to boycott the product or store, it is considered a private response.
This is because they are sharing their opinions and taking action within their personal circles without involving any public channels or organizations.
Private responses may impact the company's reputation and sales as word-of-mouth spreads, but they are not as visible or widespread as public responses, which involve protests or public announcements, or third-party responses, which involve regulatory bodies or other outside parties.
A voice response refers to providing feedback directly to the company, such as through customer service or product reviews.
In summary, when consumers are unhappy with a product and express dissatisfaction to friends or choose to boycott, it is called a private response.
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Complete question:
When consumers are unhappy with a product, they boycott the product and/or store and express dissatisfaction to friends. This is called ________ response.
A) private
B) third-party
C) voice
D) public
The Zephyr Corporation is contemplating a new investment to be financed 33 percent from debt. The firm could sell new $1,00 par value bonds at a net price of $945. The coupon interest rate is 12 percent, and the bonds would mature in 15 years. If the company is in a 34 percent tax bracket, what is the after-tax cost of capital to Zephyr for bonds?
The after-tax cost of capital to Zephyr for bonds is 8.38%.To calculate the after-tax cost of capital to Zephyr for bonds, we need to first calculate the before-tax cost of debt.
The coupon interest rate is 12%, which means that the annual interest payment on the bonds would be 12% x $1,000 = $120 per bond. The net price of the bonds is $945, which means that Zephyr would receive $945 / $1,000 = 0.945 per bond. Therefore, the before-tax cost of debt would be:($120 annual interest payment / $945 net price of bond) x 100 = 12.7%Now, to calculate the after-tax cost of debt, we need to take into account the fact that Zephyr is in a 34% tax bracket.
This means that the company can deduct 34% of the interest expense from its taxable income. So the after-tax cost of debt would be:12.7% x (1 - 0.34) = 8.38%Therefore, the after-tax cost of capital to Zephyr for bonds is 8.38%.
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Suppose world described by 1-factor model (F), and we have 2 following securities ra= -0.050 – 1.2F + EA TB = 0.050 +0.8F+EB a. [2pts] What are the weights on each security A and B if we want to track the asset that has a loading of 0.5 on factor F? b. [3pts] What is the expected risk-free rate in this world? (Hint: construct the tracking portfolio that has zero loading on factor F) 1 c. [3pts] What is the expected return of factor F? (Hint: construct the tracking portfolio that has a loading of 1 on factor F) d. [1pt] Is there any arbitrage opportunity if expected return on asset, that has a loading of 0.5 on factor F, is 4.50%?
If the expected securities risk-free rate is less than 4.50%, then there is an arbitrage opportunity because we can borrow at the risk-free rate and invest in the tracking portfolio to earn a riskless profit.
If the expected risk-free rate is greater than 4.50%, then there is no arbitrage opportunity. If the expected risk-free rate is exactly 4.50%, then the situation is indeterminate because the expected return of the tracking portfolio is also 4.50%.
a. To track the asset that has a loading of 0.5 on factor F, we need to find the weights that will make the portfolio have a loading of 0.5 on factor F. Let x be the weight on security A and (1-x) be the weight on security B. The portfolio's factor loading is then:
0.5 = 0.5(-1.2x + 0.8(1-x))
0.5 = -0.6x + 0.4
0.1 = x
Therefore, the weights on securities A and B are 0.1 and 0.9, respectively.
b. To construct the tracking portfolio that has zero loading on factor F, we need to find the weights that will make the portfolio have a loading of zero on factor F. Let y be the weight on security A and (1-y) be the weight on security B. The portfolio's factor loading is then:
0 = -1.2y + 0.8(1-y)
0 = -0.4y + 0.8
y = 2
This is not a valid solution because it implies a negative weight for security B. Therefore, there is no portfolio that has zero loading on factor F.
c. To construct the tracking portfolio that has a loading of 1 on factor F, we need to invest entirely in security A. The expected return of factor F is then the expected return of security A, which is:
E(ra) = -0.050 - 1.2E(F) + E(EA)
We don't have information about E(EA), so we cannot compute E(ra) directly.
d. There may be an arbitrage opportunity if the expected return on the asset that has a loading of 0.5 on factor F is 4.50%, depending on the risk-free rate in this world. To see this, we need to compute the expected return of the tracking portfolio we found in part a:
E(rp) = 0.1E(ra) + 0.9E(rb)
E(rp) = 0.1(-0.050 - 1.2(0.5)) + 0.9(0.050 + 0.8(0.5) = 0.035
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I need answer for this question. It's urgentplease.The following table presents closing prices of June 2022 CHF futures contract for three days in March 2022. Each contract requires the delivery of CHF 125,000. The initial and maintenance margin per c ontract are $2,500, and $2,000, respectively. Date 3/01 3/02 3/03 h June 2022 CHF Futures $0.5350 $0.5375 $0.5315 Contract Based on prices during the three-day period, which one of the following statements is true. If you sold CHF futures contracts on 3/01, then on 3/02 you would have made a profit O If you bought CHF futures contracts on 3/01, then on 3/02 you would have made a loss O If you sold CHF futures contracts on 3/02, then on 3/03 you would have made a profit O If you bought CHF futures contracts on 3/02, then on 3/03 you would have made a profit
The statement "If you sold CHF futures contracts on 3/02, then on 3/03 you would have made a profit" is true. The correct option is C.
To determine the profit or loss on a futures contract, we need to calculate the difference between the purchase price and the selling price of the contract.
On 3/02, the closing price of the June 2022 CHF futures contract was $0.5375. If you sold one contract, you would have sold it for $0.5375 × CHF 125,000 = $67,188.
On 3/03, the closing price of the June 2022 CHF futures contract was $0.5315. If you bought back the contract you sold on 3/02, you would have bought it for $0.5315 × CHF 125,000 = $66,438. The profit would be $67,188 - $66,438 = $750.
Therefore, option C is true.
The following table presents closing prices of June 2022 CHF futures contract for three days in March 2022. Each contract requires the delivery of CHF 125,000. The initial and maintenance margin per c ontract are $2,500, and $2,000, respectively.
Date 3/01 3/02 3/03
June 2022 CHF Futures $0.5350 $0.5375 $0.5315
Contract Based on prices during the three-day period, which one of the following statements is true.
A. If you sold CHF futures contracts on 3/01, then on 3/02 you would have made a profit
B. If you bought CHF futures contracts on 3/01, then on 3/02 you would have made a loss
C. If you sold CHF futures contracts on 3/02, then on 3/03 you would have made a profit
D. If you bought CHF futures contracts on 3/02, then on 3/03 you would have made a profit
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thomas buys a bond at a premium of 200 to yield 6% annually. the bond pays annual coupons and is redeemable for its par value of 1000. calculate the amount of interest in the first coupon.
The amount of interest in the first coupon is $50.67.
To calculate the amount of interest in the first coupon, we need to first determine the coupon rate of the bond.
Since the bond is purchased at a premium, we know that the coupon rate is higher than the yield rate of 6%. Let's assume that the coupon rate is x%.
The premium paid for the bond is $200, and the face value of the bond is $1000. Therefore, the actual cost of the bond is $1200.
We can set up an equation to solve for the coupon rate:
PV = C / (1 + r) + C / (1 + r)^2 + ... + C / (1 + r)^n + F / (1 + r)^n
Where:
PV = present value (what Thomas paid for the bond)
C = coupon payment
r = yield rate (6%)
n = number of years until maturity
F = face value
Substituting the known values:
$1200 = C / 1.06 + C / 1.06^2 + ... + C / 1.06^20 + $1000 / 1.06^20
Simplifying this equation using a financial calculator or spreadsheet, we can find that the coupon rate is approximately 5.067%.
To calculate the amount of interest in the first coupon, we need to multiply the coupon rate by the face value of the bond:
Interest in first coupon = coupon rate x face value
Interest in first coupon = 5.067% x $1000
Interest in first coupon = $50.67
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if a caterer has an overhead of $350,000 per year and knows that they will perform 275 catering jobs this year, how much do they need to charge per event in order to cover these costs?
To ensure that the catering business can cover its overhead costs of $350,000 per year and manage 275 catering jobs, they would have to charge a minimum of $1,273.64 per event.
This calculation can be derived by dividing the total overhead expenses by the number of events that the caterer plans to cater for, which gives us $1,273.64 per event as the minimum charge required.
This can be achieved by dividing the total overhead by the number of events:
$350,000 ÷ 275 = $1,273.64 per event.
In summary, the caterer has to charge at least $1,273.64 per event to break even and cover their overhead costs.
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video game consoles and video games are complementary products: the availability of one increases the value of the other. in the past the suppliers of consoles were able to appropriate most of the profits generated by video game systems because:
In the past the suppliers of consoles were able to appropriate most of the profits generated by video game systems because of their control over the hardware platform.
Video game consoles and video games are complementary products, which means that the value of one product is dependent on the availability of the other. In the past, suppliers of video game consoles such as Sony, Microsoft, and Nintendo, had significant power over the hardware platform.
This allowed them to limit the number of game titles available to consumers and charge high licensing fees to game developers who wanted to create games for their platform. As a result, console suppliers were able to capture most of the profits generated by the video game industry.
This situation began to change with the emergence of online gaming and mobile gaming, which created new platforms for game developers to distribute their products and reduced the power of console suppliers.
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with a global economy there has been a. greater equity in who can become wealthy b. less downsizing and outsourcing by corporations c. a decrease in social inequality d. a decrease in profits for large corporations e. greater economic instability among poorer nations
With a global economy, there has been a greater equity in who can become wealthy. The correct option is a.
The globalization of the economy has opened up new opportunities for individuals and businesses in emerging economies to participate in the global market. This has resulted in the creation of new wealth and opportunities for individuals in these countries. At the same time, it has also increased competition and put pressure on businesses to operate more efficiently and effectively, which has led to the emergence of new business models and increased productivity.
While globalization has also created new challenges and economic instability in some parts of the world, overall it has contributed to greater equity in who can become wealthy by expanding economic opportunities to a broader range of individuals and businesses around the world.
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The liquidity of secondary markets is NOT demonstrated by:
the daily turnover
the sale of securities by issuers at an acceptable price
the size of the bid-ask spread
the degree of price resilience.
An
The liquidity of secondary markets is NOT demonstrated by the sale of securities by issuers at an acceptable price. The correct option is the sale of securities by issuers at an acceptable price.
Secondary markets provide a platform for trading securities that have already been issued, facilitating liquidity by allowing investors to buy and sell securities easily.
The daily turnover, which refers to the number of securities traded within a day, demonstrates liquidity because it indicates the ease with which investors can buy or sell assets.
The size of the bid-ask spread also reflects liquidity, as a narrower spread means that buyers and sellers are in closer agreement on the value of the security, which often leads to a higher trading volume.
Lastly, the degree of price resilience refers to the ability of the market to quickly return to its original price level after a significant trade. This is also an indicator of liquidity, as it implies that there is sufficient trading activity to absorb large orders without causing a significant disruption in prices.
In summary, the sale of securities by issuers at an acceptable price does not demonstrate the liquidity of secondary markets, as it relates to the primary market, where securities are initially issued. The other factors mentioned, such as daily turnover, bid-ask spread, and price resilience, are better indicators of liquidity in secondary markets.
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The carbon cycled through a food web primarily comes from: A) primary producers. B) consumers. C) decomposers.
The carbon cycled through a food web primarily comes from primary producers. The correct option is A.
Primary producers, such as plants and algae, obtain carbon by converting carbon dioxide (CO2) from the atmosphere into glucose (C6H12O6) through the process of photosynthesis. This glucose serves as a source of energy and carbon for the primary producers to grow and reproduce.
When consumers (option B), such as herbivores, feed on primary producers, they obtain carbon by ingesting the glucose present in the plants. This carbon is then passed on to the next trophic level, which consists of secondary consumers like carnivores, when they consume the herbivores.
The carbon cycle continues throughout the food web as organisms at various trophic levels consume each other.
Decomposers (option C) play a crucial role in recycling carbon back into the environment. When organisms die, decomposers break down their organic matter and release carbon in the form of CO2 back into the atmosphere.
This CO2 can then be used by primary producers for photosynthesis, continuing the carbon cycle in the food web.
In summary, the carbon cycled through a food web primarily comes from primary producers, who obtain it from the atmosphere and convert it into glucose through photosynthesis.
This carbon is then passed through the food web as organisms consume one another, with decomposers recycling it back into the environment for future use by primary producers.
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Complete question:
The carbon cycled through a food web primarily comes from:
A) primary producers.
B) consumers.
C) decomposers.
which of the following are components of the unity-of-command perspective on ceo duality? (check all that apply.) multiple select question. a ceo has a clear focus on both objectives and operations. confusion and conflict between the ceo and chairman is increased. confusion and conflict between the ceo and chairman is eliminated. a ceo can act more efficiently and effectively when holding both positions.
The correct options are:
- A CEO has a clear focus on both objectives and operations.
- A CEO can act more efficiently and effectively when holding both positions.
The components of the unity-of-command perspective on CEO duality are:
- A CEO has a clear focus on both objectives and operations.
- A CEO can act more efficiently and effectively when holding both positions. Therefore, the correct options are:
- A CEO has a clear focus on both objectives and operations.
- A CEO can act more efficiently and effectively when holding both positions.
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