The objective of a firm is to maximize its net-benefit, which refers to the difference between total benefits and total costs.
The activity of a firm typically involves producing and selling goods or services in the market.
The concept of a net-benefit captures the idea that a firm aims to achieve the highest overall benefit or value from its activities while considering the associated costs. By maximizing net-benefit, the firm seeks to optimize its resource allocation and decision-making to generate the greatest surplus.
The notion of "optimal quantity" is relevant to the firm's objective because it represents the quantity of goods or services the firm should produce or sell to achieve the highest net-benefit. The optimal quantity is the level at which the marginal benefit equals the marginal cost. At this point, the firm is maximizing its net-benefit by efficiently allocating resources.
The difference between profit-maximization and cost-minimization lies in their focus. Profit-maximization aims to maximize the financial gains or profits of the firm by considering both revenue and cost factors. It seeks to identify the quantity at which the difference between total revenue and total cost is maximized.
On the other hand, cost-minimization focuses on minimizing the firm's costs while producing a given level of output. It aims to identify the quantity of output that allows the firm to produce goods or services at the lowest possible cost.
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Implications of inflation and deflation Suppose that you are running a business and you need some extra space for one year. Your bank offers you a loan of $100,000 at 0% interest. You consider borrowing this amount, buying the building, using it for one year, and then selling the building to pay back the loan. Unfortunately, the economy in which you are operating is experiencing deflation at the rate of 10% per year. After one year, you should be able to sell the building for Suppose that owning the building for a year would earn you $5,000. To decide whether or not you will be better off by owning it for one year and then selling it, you sought advice from three different people: (1) Your brother says that you should not buy the building because in one year it will cost you $100,000. (2) Your accountant says that you should definitely buy the building because you can borrow $100,000 at zero interest while the building will generate $5,000 in extra income. Then when you sell it, you will be $5,000 richer. (3) Your bookkeeper says that if you sell the building in a year, you will have to come up with more money to pay off the loan than you will make in extra income.
It is better to avoid the loan and look for alternative options for extra space. Inflation and deflation are the two concepts that are crucial in assessing the macroeconomic conditions of a country. The implications of these two concepts are significant for businesses operating in a country with these conditions.
In this scenario, we can see the implications of deflation on business operations. The three different people have different opinions about the loan, and the building, and the associated income, so let's look at each opinion and the implications of deflation on the loan and the business.
1. Your brother says that you should not buy the building because in one year it will cost you $100,000.Since the economy is experiencing deflation, the prices of the goods and services are decreasing at a rate of 10%. Hence, if the business owner decides to purchase the building for $100,000, the building's value would decrease by 10% to $90,000 in one year. So, if the business owner decides to sell the building after a year, they will face a loss of $10,000
.2. Your accountant says that you should definitely buy the building because you can borrow $100,000 at zero interest while the building will generate $5,000 in extra income. Then when you sell it, you will be $5,000 richer. This opinion seems reasonable because the business owner can borrow $100,000 at zero interest and generate extra income of $5,000. However, deflation will decrease the building's value by 10%, so if the business owner decides to sell the building after a year, they will face a loss of $10,000. In this case, the extra income earned would be less than the loss incurred.
3. Your bookkeeper says that if you sell the building in a year, you will have to come up with more money to pay off the loan than you will make in extra income. If the business owner decides to sell the building after a year, they will have to pay back the loan of $100,000, which is equal to the value of the building. However, due to deflation, the building's value would decrease by 10%, and the business owner would be able to sell it for $90,000. Hence, the business owner will incur a loss of $10,000. Therefore, the bookkeeper's opinion seems valid, and it is not advisable to buy the building.
Overall, it is not advisable to buy the building because of deflation, which will decrease the value of the building by 10%. The business owner will incur a loss of $10,000 if they decide to sell the building after a year. Hence, it is better to avoid the loan and look for alternative options for extra space.
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St. John Medical, a surgical equipment manufacturer, has been hit hard by increased competition. Analysts predict that earnings and dividends will decline at a rate of 5 percent annually into the foreseeable future. If the firm’s last dividend (D0 ) was $2.00 and the investors’ required rate of return is 15 percent, what will be the company’s stock price in three years?
The estimated stock price of St. John Medical in three years will be approximately $8.57.
To calculate the stock price in three years, we need to use the dividend discount model (DDM). The DDM calculates the present value of all future dividends to determine the intrinsic value of a stock.
Last dividend (D0) = $2.00
Dividend growth rate (g) = -5% (declining annually)
Required rate of return (k) = 15%
Time period (n) = 3 years
Using the DDM formula, the stock price (P3) in three years can be calculated as follows:
P3 = D3 / (k - g)
First, we need to calculate the dividend expected in three years (D3). To do this, we use the formula for the future dividends:
D3 = D0 * (1 + g)^n
D3 = $2.00 * (1 - 0.05)^3
D3 = $2.00 * (0.95)^3
D3 = $2.00 * 0.857375
D3 = $1.71475
Next, we can calculate the stock price in three years:
P3 = $1.71475 / (0.15 - (-0.05))
P3 = $1.71475 / 0.20
P3 = $8.57375
Therefore, the estimated stock price of St. John Medical in three years will be approximately $8.57.
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The current price of Parador Industries stock is $68 per share. Current sales per share are $15.50, the sales growth rate is 3.5 percent, and Parador does not pay a dividend. The expected return on Parador stock is 14 percent.
a. Calculate the sales per share one year ahead. (Round your answer to 2 decimal places.)
Sales per share
b. Calculate the P/S ratio one year ahead. (Do not round intermediate calculations. Round your answer to 2 decimal places.)
P/S ratio
Given information:Current stock price, P0 = $68 per shareCurrent sales per share = $15.50Sales growth rate = 3.5%Expected return, r = 14%a.
To calculate the sales per share one year ahead, we can use the following formula:Sales per share (P1) = Sales per share (P0) × (1 + Sales growth rate)So, P1 = $15.50 × (1 + 3.5%) = $15.50 × 1.035 = $16.03Therefore, the sales per share one year ahead is $16.03 (rounded to 2 decimal places).b. To calculate the P/S ratio one year ahead, we can use the following formula:P/S ratio = Stock price / Sales per shareSo, P1/S1 = $68 / $16.03 = 4.24 (rounded to 2 decimal places)Therefore, the P/S ratio one year ahead is 4.24 (rounded to 2 decimal places).Hence, the required answers are:Sales per share = $16.03 (rounded to 2 decimal places)P/S ratio = 4.24 (rounded to 2 decimal places)
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A firm produces two products, Good 1 and Good 2. The cost of producing (in RM) A units of Good 1 and B units of Good 2 is TC = 5A² + 2AB + 3B² + 800 Assume the producer committed to producing 39 units of either type in total. i) Derive the production constraint. ii) Write down the Lagrange function in this case. iii) By using Lagrange Multiplier Method, calculate the units of Good 1 and Good 2 which minimise cost. iv) Calculate the minimum total cost. v) Use the bordered Hessian to show that the cost is in fact a minimum. vi) Briefly state the effect on cost when production increases by two units
i) Derive the production constraint:
The total number of units produced is given as A + B = 39.
ii) Write down the Lagrange function in this case:
The Lagrange function for this problem is:
L(A, B, λ) = 5A² + 2AB + 3B² + 800 - λ(A + B - 39)
iii) Calculate the units of Good 1 and Good 2 which minimize cost using the Lagrange Multiplier Method:
To find the minimum cost, we need to take partial derivatives of the Lagrange function with respect to A, B, and λ and set them equal to zero:
∂L/∂A = 10A + 2B - λ = 0
∂L/∂B = 2A + 6B - λ = 0
∂L/∂λ = A + B - 39 = 0
Solving these equations simultaneously will give us the values of A, B, and λ.
iv) Calculate the minimum total cost:
Once you have the values of A and B from the previous step, substitute them back into the cost function to calculate the minimum total cost.
v) Use the bordered Hessian to show that the cost is, in fact, a minimum:
The bordered Hessian matrix can be constructed using the second-order partial derivatives of the Lagrange function.
if it is positive definite, indicating a minimum.
vi) Briefly state the effect on cost when production increases by two units:
To determine the effect on cost, evaluate the cost function by increasing the production of Good 1 and Good 2 by two units and calculate the resulting cost difference.
Note: The specific calculations and numerical values are not provided in the question, so you'll need to perform the necessary calculations based on the given cost function and constraints to find the solutions.
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A client plans to construct a manufacturing plant that involves multiple engineering disciplines.
Calculate the total engineering fees including taxes based on the following:
Mechanical Works, $1,540,000
Electrical Works, $1,780,000
Earth Works, $950,000
Civil Works, $2,125,100
Environmental Works, $1,325,000
Basis B fees = 9%
There are no office fees
Taxes = 13%
The total engineering fees, including taxes, can be calculated by adding up the fees for each engineering discipline, applying the basis B fees, and then adding the taxes.
The given fees for Mechanical Works, Electrical Works, Earth Works, Civil Works, and Environmental Works are added together, and the basis B fees of 9% are applied. Finally, the taxes of 13% are added to obtain the total engineering fees including taxes. The fees for Mechanical Works, Electrical Works, Earth Works, Civil Works, and Environmental Works are $1,540,000, $1,780,000, $950,000, $2,125,100, and $1,325,000 respectively. To calculate the total fees, we sum up these amounts:
Total fees = Mechanical Works + Electrical Works + Earth Works + Civil Works + Environmental Works
= $1,540,000 + $1,780,000 + $950,000 + $2,125,100 + $1,325,000
= $7,720,100
Next, we apply the basis B fees of 9% to the total fees:
Basis B fees = 9% * Total fees
= 0.09 * $7,720,100
= $694,809
Finally, we add the taxes of 13% to the basis B fees to calculate the total engineering fees including taxes:
Total fees including taxes = Basis B fees + Taxes
= $694,809 + 0.13 * $694,809
= $694,809 + $90,226.17
= $785,035.17
Therefore, the total engineering fees, including taxes, amount to approximately $785,035.17.
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You are thinking of building a new machine that will save you $5,000 in the first year. The machine will then begin to wear out so that the savings decline at a rate of 3% per year forever. What is the present value of the savings if the interest rate is 5% per year?
The present value of the savings, taking into account the declining rate of 3% per year, and an interest rate of 5% per year, is approximately $83,333.33.
Explanation:
To calculate the present value of the savings, we need to consider the declining rate and the interest rate. In the first year, the machine saves $5,000. However, from the second year onwards, the savings decline at a rate of 3% per year. This means that the savings in the second year will be 3% less than $5,000, and the savings in the third year will be 3% less than the savings in the second year, and so on.
To determine the present value of these declining savings, we need to discount them back to their current value using an interest rate. In this case, the interest rate is given as 5% per year. To calculate the present value, we can use the formula for the present value of a perpetuity:
Present Value = Savings in Year 1 / (Interest Rate - Declining Rate)
In this case, the savings in Year 1 is $5,000, the interest rate is 5%, and the declining rate is 3%. Plugging these values into the formula, we get:
Present Value = $5,000 / (0.05 - 0.03) = $5,000 / 0.02 = $250,000
However, this value represents the total savings over an infinite period. To find the present value considering the declining savings, we divide this total by the declining rate:
Present Value = $250,000 / 0.03 = $83,333.33
Therefore, the present value of the savings, considering the declining rate of 3% per year and an interest rate of 5% per year, is approximately $83,333.33.
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What discount rate would make you indifferent between receiving $3,290.00 per year forever and $5,127.00 per year for 26.00 years? Assume the first payment of both cash flow streams occurs in one year
ps7
Let x be the discount rate which makes you indifferent between receiving $3,290.00 per year forever and $5,127.00 per year for 26.00 years.
According to the question, we can construct the following equation.The Present Value (PV) of both cash flow streams will be equal.
The Present Value (PV) of $3,290.00 per year forever is:PV = CF1 / (r - g)where,CF1 = First cash flow = $3,290.00r = discount rate = xr = Growth rate = 0 (as it is given "forever")
Then, the Present Value of $3,290.00 per year forever would be:PV = $3,290.00 / (x - 0) = $3,290.00 / x ----(1)
The Present Value (PV) of $5,127.00 per year for 26.00 years is:PV = CF {(1 - (1 + r)^-n) / r}where,CF = Cash flow per period = $5,127.00r = discount rate = x in this case.n = total number of periods = 26 years
Then, the Present Value of $5,127.00 per year for 26.00 years would be:PV = $5,127.00 {(1 - (1 + x)^-26) / x} ----(2)According to the question, both the present values of cash flow streams are equal.Therefore, from (1) and (2), we can write:$3,290.00 / x = $5,127.00 {(1 - (1 + x)^-26) / x}Simplify and solve for x.$3,290.00 / x = $5,127.00 {(1 - (1 + x)^-26) / x} $3,290.00 = $5,127.00 x {(1 - (1 + x)^-26)} $3,290.00 / $5,127.00 = (1 - (1 + x)^-26) 0.6405 = (1 + x)^-26 1 / (1 + x)^-26 = 0.6405 (1 + x)^26 = 1 / 0.6405 (1 + x)^26 = 1.5603032860548772 (1 + x) = (1.5603032860548772)^(1/26) (1 + x) = 1.0377 - 1 = 0.0377Thus, the discount rate which makes you indifferent between receiving $3,290.00 per year forever and $5,127.00 per year for 26.00 years is approximately 3.77%.
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Historically, which investment from the following list has
averaged the highest return?
a. Corporate bonds
b. Small company stocks
c. Government bonds
d. Large company stocks
Historically, Large company stocks have averaged the highest return among the following investments: Corporate bonds, Small company stocks, Government bonds, and Large company stocks. Investment returns usually come in the form of capital gains or dividends.
Capital gains are profits realized when an asset is sold for more than its purchase price, while dividends are regular payments made to stockholders from company profits.
Based on the historical data, large company stocks have averaged the highest returns. The performance of stocks is typically measured by indices such as the S&P 500 or the Dow Jones Industrial Average (DJIA). The S&P 500 index comprises the 500 largest publicly traded companies in the United States and is considered a representative sample of the US economy.
Over the long term, the S&P 500 has produced average annual returns of about 10%.So, in terms of average annual returns, large company stocks, with an average annual return of approximately 10%, have historically provided investors with higher returns than the other options listed.
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What amount must you deposit today in a three-year CD paying 4%
interest annually to provide you with $2249.73 at the end of the
CD’s maturity?
A CD or certificate of deposit is a type of savings account that usually offers higher interest rates than traditional savings accounts.
If you want to know how much you should deposit today to achieve a certain amount at the end of your CD's maturity, you'll need to use a formula. The formula is: FV = PV × (1 + r)n
FV = Future value
PV = Present value of the money you want to invest
r = annual interest rate
n = number of years
So, in the given question, the future value (FV) is $2249.73, the annual interest rate (r) is 4%, and the number of years (n) is 3. We want to find the present value (PV) which we will deposit today. To use the formula, we can rearrange it to solve for PV. We have:
FV = PV × (1 + r)n2249.73 = PV × (1 + 0.04)3
Simplifying and solving for PV, we get: PV = 2249.73 / (1 + 0.04)3 ≈ $1957.43Therefore, you would need to deposit $1957.43 today in a three-year CD paying 4% interest annually to provide you with $2249.73 at the end of the CD’s maturity.
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Suppose the demand curve for a product is given by Q=17-2P+3Ps where P is the price of the product and Ps is the price of a substitute good. The price of the substitute good is $2.80. Suppose P = $0.50. The price elasticity of demand is 0.05. (Enter your response rounded to two decimal places.) The cross-price elasticity of demand is 0.34. (Enter your response rounded to two decimal places.) Suppose the price of the good, P, goes to $1.00. Now the price elasticity of demand is -0.09. (Enter your response rounded to two decimal places.) The cross-price elasticity of demand is 0.36. (Enter your response rounded to two decimal places.)
The demand equation is given by Q=17-2P+3Ps where P is the price of the product and Ps is the price of a substitute good. The price of the substitute good is $2.80. The given value of P is $0.50.The price elasticity of demand can be calculated using the formula:
Price elasticity of demand = (% change in quantity demanded) / (% change in price)We can calculate the percentage change in quantity demanded as:(Q2 - Q1) / Q1 * 100Where, Q1 is the initial quantity demanded at price P1, and Q2 is the quantity demanded at price P2.Now, let's calculate the quantity demanded corresponding to P1= $0.50.Q = 17 - 2P + 3PsQ = 17 - 2(0.5) + 3(2.8)Q = 19.4Now, let's calculate the quantity demanded corresponding to P2 = $1.00Q = 17 - 2P + 3PsQ = 17 - 2(1) + 3(2.8)Q = 16.4The percentage change in quantity demanded is:
(Q2 - Q1) / Q1 * 100= (16.4 - 19.4) / 19.4 * 100= -13.4%We are given that the price elasticity of demand is 0.05.Price elasticity of demand = (% change in quantity demanded) / (% change in price)0.05 = (-13.4%) / (% change in price)% change in price = (-13.4%) / 0.05= -268%We can calculate the cross-price elasticity of demand using the formula:Cross-price elasticity of demand = (% change in quantity demanded of good 1) / (% change in price of good 2)
The given cross-price elasticity of demand is 0.34.0.34 = (% change in quantity demanded of good 1) / (% change in price of good 2)The given price of the substitute good is $2.80. The percentage change in the price of the substitute good is:(% change in price of substitute good) = (change in price of substitute good) / (initial price of substitute good) * 100= ($1.00 - $2.80) / $2.80 * 100= -64.29%
Now, we can calculate the percentage change in quantity demanded of good 1:(% change in quantity demanded of good 1) = Cross-price elasticity of demand * (% change in price of substitute good)= 0.34 * (-64.29%)= -21.86%Now, we are given that the price of the good, P, goes to $1.00. The price elasticity of demand is -0.09.
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A study of 30 secretaries' yearly salaries (in thousands of dollars) was done. The researchers wan to predict salaries from several other variables. The variables considered to be potential predictors of salary are months of service (x1), years of education (x2). score on a standardized test (x3), words per minute (wpm) typing speed (x4), and abality to take dictation in words per minute (x5). A multiple regression model with all five variables was run. The predicted salary is 37:2 thousand dollars. (Round to one decimal place as needed.) c) Test whether the coefficient of words per minute of typing speed (x4) is significantly different from zero at α=0.05. State the hypotheses. A. A. Hyping speed contributes nothing useful affer allowing for the B. H0 : Typing speed makes a useful contribution to the model, β4=0 other predictors in the model, β4=0 HA : Typing speed contributes nothing useful after allowing for the other predictors in the model, β4=0 X C. H0 : Typing speed makes a useful contribution to the model, β4=0 D. H0 : Typing speed contributes nothing usoful after allowing for the HA : Typing speed contributes nothing useful after allowing for the other predictors in the model, β4=0 other predictors in the model, β4=0 HA : Typing speed makes a useful contribution to the model, β4=0 Identify the tedt statiste. (Type an integer or a decimal. Do not round.)
The hypotheses for testing whether the coefficient of words per minute of typing speed (x4) is significantly different from zero at α=0.05 are H0: β4 = 0, and HA: model, β4 ≠ 0.
In this multiple regression model, the researchers are examining the relationship between secretaries' yearly salaries and several potential predictor variables. To determine whether the coefficient of words per minute of typing speed (x4) is significantly different from zero, a hypothesis test is performed.
The null hypothesis (H0) states that typing speed does not contribute anything useful to the model after accounting for the other predictors, and the alternative hypothesis (HA) suggests that typing speed does make a useful contribution. To assess the significance, a t-statistic is calculated. The t-statistic compares the estimated coefficient of typing speed to zero and determines whether it is statistically significant based on the given significance level (α=0.05).
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Some internal auditors take the view that the internal audit profession should require that internal audit functions adopt a simple, yet sensible, grading or ranking of their engagement reports to better communicate their overall conclusions expressed in these reports. They propose that an overall rating be included in the audit report for each business unit or function audited. The purpose of the rating is to indicate the design adequacy and operating effectiveness of internal controls. For example, one proposed rating system is:
A. Controls are designed adequately and operating effectively to provide reasonable assurance that risks are being managed to an acceptable level.
B. Some opportunities for improvement were identified; generally, however, controls are designed adequately and operate effectively to provide reasonable assurance that risks are being managed to an acceptable level.
C. Significant opportunities for improvement were identified. Numerous specific control weaknesses were noted, resulting in areas where controls are unlikely to provide reasonable assurance that risks are being managed to an acceptable level.
D. Unsatisfactory. Controls are designed inadequately and/or operating ineffectively; therefore, there is no reasonable assurance that risks are being managed to an acceptable level. Present arguments for and against the use of internal audit ratings. Do you believe the use of ratings is appropriate or not? Explain your reasons.
a. Arguments for the use of internal audit ratings:
1. Communication of Overall Conclusions
2. Focus on Improvement
3. Benchmarking and Trend Analysis
b. Arguments against the use of internal audit ratings:
1. Oversimplification
2. Subjectivity and Bias
3. Incomplete Assessment
1. Communication of Overall Conclusions: Ratings provide a concise and standardized way to communicate the overall conclusions of internal audit engagements. They offer a summary assessment of the design adequacy and operating effectiveness of internal controls, allowing stakeholders to quickly grasp the audit's findings and the level of risk management in the audited business unit or function.
2. Focus on Improvement: Ratings can highlight areas where opportunities for improvement exist. By categorizing the findings into different levels, such as A, B, C, or D, internal auditors can emphasize the severity of control weaknesses and provide a clear direction for management to prioritize their efforts in addressing deficiencies.
3. Benchmarking and Trend Analysis: Ratings enable benchmarking across different business units or functions within an organization or even across different organizations. This comparative analysis helps identify best practices and areas where controls are consistently strong or weak. Over time, trend analysis of ratings can provide insights into the effectiveness of control enhancements or the impact of organizational changes.
b. Arguments against the use of internal audit ratings:
1. Oversimplification: Ratings may oversimplify the complexity of internal control systems. Assigning a single rating to the overall control environment may not capture the nuances and specific weaknesses within different control processes or activities. Ratings can sometimes fail to provide a comprehensive picture of control effectiveness.
2. Subjectivity and Bias: The assignment of ratings involves judgment and subjectivity, which can introduce biases. Different auditors may interpret and assign ratings differently based on their perspectives and experiences. This subjectivity can undermine the objectivity and credibility of the ratings.
3. Incomplete Assessment: Ratings alone may not sufficiently capture the entirety of the internal audit engagement's findings. The underlying details and recommendations may be lost or overshadowed by the assigned rating. Stakeholders may need to refer to the full audit report to understand the specific control weaknesses and recommendations for improvement.
Personal opinion:
The use of internal audit ratings can be beneficial if implemented appropriately. They provide a concise summary of the audit's conclusions and highlight areas that require attention. However, it is crucial to ensure that the ratings are based on objective criteria, consistent evaluation standards, and a comprehensive assessment of the control environment. The ratings should not oversimplify the complexities of internal controls or overshadow the detailed findings and recommendations provided in the audit report. By striking the right balance, internal audit ratings can serve as a valuable communication tool for stakeholders to understand the overall effectiveness of internal controls and drive improvements in risk management.
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An investment project costs $17,900 and has annual cash flows of $4,400 for six years. a. what is the discounted payback period if the discount rate is zero percent?
With a zero percent discount rate, the discounted payback period is the number of years it takes for the cumulative cash flows ($4,400 per year) to equal or exceed the initial investment of $17,900.
The discounted payback period is a measure of how long it takes for the discounted cash flows to recover the initial investment. In this scenario, the investment project costs $17,900 and generates annual cash flows of $4,400 over a six-year period.
When the discount rate is zero percent, the discounted payback period is determined by the number of years it takes for the sum of the discounted cash flows to equal or surpass the initial investment. Since the discount rate is zero percent, the present value of each cash flow is equivalent to its nominal value.
Thus, in this case, the discounted payback period is simply the time it takes for the cumulative cash flows ($4,400 per year) to reach or exceed the initial investment of $17,900.
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Let's say that you are looking to invest in two stocks A and B. Stock A has a beta of 1.19 and based on your best estimates is expected to have a return of 95% Stock & has a beta of 0.85 and is expected to eam 11%, If the risk-free rate is currently 4% and the expected retum on the market is 7%, which stock(s) should you invest in, if any?
A.Do not buy stock A do not buy stock B
B.Do not buy stock A, do not buy stock Bi
C.Buy stock A, buy stock B
D.Buy stock A, do not buy stock B
E.Do not buy stock A, buy stock B
Based on the information provided, the answer would be:
You should buy stock A.
You should not buy stock B.
To determine the optimal investment choice, we need to consider the expected return of each stock relative to its risk. The expected return of stock A is 95%, while the expected return of stock B is 11%. Comparing these returns to the risk-free rate of 4% and the market's expected return of 7%, we can assess their performance.
We can start by calculating the required rate of return for each stock using the Capital Asset Pricing Model (CAPM):
For stock A:
Required rate of return = Risk-free rate + Beta of A * (Expected return of the market - Risk-free rate)
= 4% + 1.19 * (7% - 4%)
= 4% + 1.19 * 3%
= 4% + 3.57%
= 7.57%
For stock B:
Required rate of return = Risk-free rate + Beta of B * (Expected return of the market - Risk-free rate)
= 4% + 0.85 * (7% - 4%)
= 4% + 0.85 * 3%
= 4% + 2.55%
= 6.55%
Comparing the required rates of return to the expected returns, we find that stock A has a higher expected return (95%) than its required rate of return (7.57%), indicating potential profitability. However, stock B has an expected return (11%) lower than its required rate of return (6.55%), suggesting it may not be a favorable investment.
Based on these calculations, the recommended decision is to buy stock A and not invest in stock B. Stock A's expected return is higher than its required rate of return, suggesting it has the potential to generate positive returns for investors. Meanwhile, stock B's expected return is lower than its required rate of return, indicating that it may not be an attractive investment option.
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Which of the following is NOT one of the components of the risk premium?
a. default risk
b. maturity risk
c. liquidity risk d. inflation risk
e. All of the above are components of the risk premium
2. If ABC Corporation invests $10,000 to purchase an asset with a net present value (NPV) of $3,000, which of the following would you expect to occur?
a. The value of the corporation would rise by $10,000, the cost of the investment.
b. The value of the corporation would rise by $10,000, the cost of the investment, but the value of the common stock would rise by only $3,000, the NPV of the investment.
c. The values of both the corporation and its common stock would fall by $7,000, since the investment costs $10,000 but is only worth $3,000. Making this investment would destroy value of $3,000.
d. The values of both the corporation and its common stock would rise by $3,000, the NPV of the investment.
e. This is all very confusing. May I be excused?
The correct answer is d. The values of both the corporation and its common stock would rise by $3,000, the NPV of the investment.
1. The component that is NOT part of the risk premium is e. All of the above are components of the risk premium.
Explanation: The risk premium is the additional return that an investor requires in order to hold a risky asset rather than a risk-free asset. The components of the risk premium are factors that contribute to the overall riskiness of an investment. These components include default risk, maturity risk, liquidity risk, and inflation risk. Therefore, the correct answer is e. All of the above are components of the risk premium.
2. The expected outcome when ABC Corporation invests $10,000 to purchase an asset with a net present value (NPV) of $3,000 is d. The values of both the corporation and its common stock would rise by $3,000, the NPV of the investment.
Explanation: Net present value (NPV) is the difference between the present value of cash inflows and the present value of cash outflows over a period of time. In this case, the NPV of the investment is $3,000, which means that the investment is expected to generate a positive return. As a result, the values of both the corporation and its common stock would increase by $3,000, which is the NPV of the investment.
Therefore, the correct answer is d. The values of both the corporation and its common stock would rise by $3,000, the NPV of the investment.
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All of the above are components of the risk premium.
the risk premium is the additional return that investors demand for taking on additional risk. It compensates investors for the various types of risks associated with an investment. The components of the risk premium include default risk, which is the risk of a borrower defaulting on their debt obligations; maturity risk, which is the risk associated with the time horizon of the investment; liquidity risk, which is the risk of not being able to buy or sell an investment quickly and at a fair price; and inflation risk, which is the risk that inflation will erode the purchasing power of the investment returns.
All of these risks are factored into the risk premium to determine the required return on the investment.
2. The values of both the corporation and its common stock would rise by $3,000, the NPV of the investment.
The net present value (NPV) of an investment represents the difference between the present value of cash inflows and the present value of cash outflows.
In this case, the NPV of $3,000 indicates that the investment is expected to generate a positive return. When ABC Corporation invests $10,000 to purchase an asset with an NPV of $3,000, it means that the value of the corporation would increase by $3,000.
As a result, the value of the common stock would also increase by $3,000, as it represents a portion of the corporation's overall value. This investment would create value for the corporation and its shareholders.
Note: The NPV represents the expected value generated by the investment, taking into account the time value of money and the expected cash flows.
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A firm (that produces a single type of product) has a Lerner index of 0.08 and is charging a price of $50 per unit for its product a) Calculate the marginal cost of the firm's product. b) Which industry is the firm more likely in: PERFECT COMPETITION, OR OLIGOPOLY? Carefully explain your answer. Your answer must clearly indicate the you understand the concepts: Lemer Index, Perfect Competition, and Oligopoly (Clearly label each answer and show all calculations that you do, or you will receive no credit for your answers.) 1 F T: B I EE
Given the firm's low lerner index, it is more likely to be operating in a perfect competition industry.
a) to calculate the marginal cost, we can use the formula:
lerner index = (price - marginal cost) / price
given that the lerner index is 0.08 and the price is $50, we can rearrange the formula to solve for the marginal cost:
0.08 = ($50 - marginal cost) / $50
0.08 * $50 = $50 - marginal cost
$4 = $50 - marginal cost
marginal cost = $50 - $4 = $46 per unit
b) based on the lerner index of 0.08, the firm's market power is relatively low. in perfect competition, firms have no market power and the lerner index would be zero. in oligopoly, firms have some degree of market power. a) the lerner index measures a firm's market power by comparing the difference between the price and marginal cost relative to the price. by rearranging the formula, we can solve for the marginal cost, which in this case is $46 per unit.
b) perfect competition is characterized by a large number of firms, homogeneous products, ease of entry and exit, and no market power. in perfect competition, firms are price takers and cannot influence the market price. oligopoly, on the other hand, is characterized by a small number of large firms, differentiated or homogeneous products, high barriers to entry, and some degree of market power. given that the firm's lerner index is low (0.08), it suggests that the firm has limited market power, making it more likely to be operating in a perfect competition industry where firms have no market power.
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a project that requires initial investment $60000 & generate
cash flow as follows:
$25,000 $24000 $23000
what is NPV given cost of capital is 10%
what is IRR
The Net Present Value is $59,382.65 and the IRR is approximately 23.77%.
To calculate the Net Present Value (NPV), we need to discount each cash flow by the cost of capital and sum them up. The formula for NPV is:
NPV = CF₁ / (1 + r) + CF₂ / (1 + r)² + CF₃ / (1 + r)³ + ...
Where
CF₁, CF₂, CF₃ are the cash flows and r is the cost of capital.
Given the cash flows of $25,000, $24,000, and $23,000, and a cost of capital of 10%, we can calculate the NPV as follows:
NPV = $25,000 / (1 + 0.10) + $24,000 / (1 + 0.10)² + $23,000 / (1 + 0.10)³
NPV = $22,727.27 + $19,652.89 + $17,002.49
NPV = $59,382.65
To calculate the Internal Rate of Return (IRR), we need to find the discount rate that makes the NPV equal to zero. In other words, we need to solve the equation:
0 = CF₁ / (1 + IRR) + CF₂ / (1 + IRR)² + CF₃ / (1 + IRR)³ + ...
Using the same cash flows as before ($25,000, $24,000, and $23,000), we can find the IRR using a financial calculator or software. In this case, the IRR is approximately 23.77%.
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Explain and provide an example of what happens to demand in the
short run? 200 words
In the short run, demand refers to the quantity of a product or service that consumers are willing and able to purchase at a given price level. Several factors can affect demand in the short run, including changes in consumer preferences, income levels, and prices of related goods.
When there is an increase in consumer income, demand tends to rise as people have more money to spend. For example, if people receive a salary increase, they may choose to buy more luxury items, leading to an increase in demand for luxury goods in the short run.
Changes in consumer preferences can also impact demand in the short run. For instance, if a new fashion trend becomes popular, there may be an increased demand for clothing items that align with this trend. Similarly, if there is a sudden interest in a particular type of technology, the demand for related electronic devices may increase.
In addition, changes in the prices of related goods can affect demand. If the price of a substitute good increases, consumers may choose to switch to a different product, resulting in a decrease in demand for the original product. On the other hand, if the price of a complementary good decreases, it may lead to an increase in demand for both goods. For example, if the price of peanut butter decreases, the demand for jelly may also increase as people are more likely to purchase both items together.
In summary, demand in the short run can be influenced by factors such as changes in consumer income, preferences, and prices of related goods. These factors can lead to an increase or decrease in demand for a particular product or service, depending on the specific circumstances.
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A 3.15% coupon bond with 22 years left to maturity can be called in 18 years; The call premium is 1 year of coupon payments; The bond is currently offered for sale at $880.60 (Assume interest payments are semiannual) - What is the bond's yield to maturity?
1.98%
3.97%
4.54%
7.41%
7.95%
4.09%
3.58%
Given that a 3.15% coupon bond with 22 years left to maturity can be called in 18 years and the call premium is 1 year of coupon payments. The bond is currently offered for sale at $880.60 (Assume interest payments are semiannual). We are to determine the bond's yield to maturity.
The yield to maturity (YTM) is the expected rate of return of a bond assuming that it is held until maturity and all payments are made as scheduled. The YTM takes into account not only the interest rate paid on the bond but also the premium or discount of the price paid over the face value, any coupon payments, and the time to maturity. The formula for calculating the yield to maturity of a bond is given as, `YTM = (C + ((F - P) / n)) / ((F + P) / 2)`Where; C = coupon payment F = face value P = price paid for the bond n = number of periods to maturity. Using the formula above, we can calculate the bond's yield to maturity. YTM = (0.0315 + ((1000 - 880.60) / 44)) / ((1000 + 880.60) / 2)YTM = (0.0315 + (119.40 / 44)) / (940.30 / 2)YTM = 0.0795 or 7.95%. Therefore, the bond's yield to maturity is 7.95%. Option E is the correct answer.
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when major changes are initiated in organizations, "... there is often the implicit assumption that training will 'solve the problem.' and, indeed, training may solve part of the problem" (dormant, 1986, p. 238).
When major changes are initiated in organizations, it is common for people to assume that training will be the solution to any problems that arise.
However, according to Dormant (1986), while training may solve some aspects of the problem, it may not be enough to fully address the issues at hand. Training can be an effective tool for equipping employees with the necessary skills and knowledge to adapt to the changes. It can provide them with a better understanding of new processes, technologies, or strategies. However, training alone may not address other important factors such as resistance to change, organizational culture, or communication challenges.
To ensure the success of major changes, organizations need to consider a holistic approach. This involves not only providing training but also actively engaging employees in the change process, addressing any concerns or resistance, and creating a supportive organizational culture. Additionally, organizations should establish clear communication channels to keep employees informed about the changes and provide opportunities for feedback. This will help to ensure that employees understand the reasons behind the changes and feel empowered to contribute to the success of the new initiatives.
In summary, while training can be a valuable component of addressing problems during major changes, organizations need to take a comprehensive approach that considers factors beyond just training to effectively manage the transition.
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T/F Explain. Write True Or False And A 2-3 Sentence Explanation. Many Times The Answer Can Be True Or False, The Explanation Is What Matters. A Major Factor In A Union's Bargaining Power Is The Elasticity (Or Inelasticity) Of Labor Demand.
True. Elasticity of labor demand affects union bargaining power.
A major factor in a union's bargaining power is not the elasticity or inelasticity of labor demand. Instead, factors such as the number of union members, their level of organization and solidarity, and the economic and political environment play crucial roles in determining a union's bargaining power. The elasticity of labor demand refers to how responsive the demand for labor is to changes in wages. While this can impact employment levels, it does not directly determine the bargaining power of a union.
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Identify the main financial market risks to
which Ryanair is exposed to.
It is worth mentioning that these are some of the main financial market risks faced by Ryanair, but there may be additional risks specific to the company's operations and industry.
Ryanair, as a company operating in the airline industry, is exposed to various financial market risks.
Here are the main ones:
1. Fuel Price Risk: Ryanair's operations heavily rely on fuel, and fluctuations in fuel prices can significantly impact its financial performance. Changes in global oil prices can lead to increased fuel costs, thereby affecting the company's profitability.
2. Currency Exchange Rate Risk: Ryanair operates across different countries and deals with multiple currencies. Changes in exchange rates can affect the company's revenue and expenses. For example, if the currency in which Ryanair generates most of its revenue weakens against the currency in which it pays for fuel and aircraft leases, it can result in higher costs.
3. Interest Rate Risk: Ryanair, like any other business, is exposed to interest rate risks. Changes in interest rates can impact the company's borrowing costs, especially if it has a substantial amount of debt. Higher interest rates can increase Ryanair's interest expenses and negatively impact its financial position.
4. Regulatory and Legal Risk: The airline industry is subject to various regulations and legal requirements, which can have financial implications. Compliance with regulations and potential legal disputes can result in financial penalties, legal costs, and reputational damage.
5. Market Risk: Ryanair's financial performance is influenced by market conditions and competition. Fluctuations in passenger demand, ticket prices, and overall economic conditions can impact the company's revenue and profitability.
It is worth mentioning that these are some of the main financial market risks faced by Ryanair, but there may be additional risks specific to the company's operations and industry.
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Which of the following is NOT correct with regard to costs? A. Economic costs exceed accounting costs if implicit costs equal zero. B. Accounting costs include explicit costs only C. Implicit costs are those opportunity costs which are not reflected in monetary payments. D. Economic costs equal the sum of explicit costs and implicit costs. E. Explicit costs are the monetary payments for the factors of production bought or hired by the
The statement that is NOT correct with regard to costs is: B. Accounting costs include explicit costs only.
Accounting costs include both explicit costs and implicit costs. Explicit costs are the monetary payments for the factors of production bought or hired by the firm. Implicit costs, on the other hand, are the opportunity costs that are not reflected in monetary payments. Economic costs, which include both explicit and implicit costs, will exceed accounting costs if the implicit costs are not zero.
Explicit costs are normal business costs that appear in a company’s general ledger and directly affect its profitability. They have clearly defined dollar amounts that flow through to the income statement. Examples of explicit costs include wages, lease payments, utilities, raw materials, and other direct costs.
Therefore, statement B is incorrect.
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Investments with Single Rate of Return: Assume that you have the opportunity to buy a piece of land today for $100,000 and expect to sell it for $350,000 at the end of 25 years. What is your rate of return (annual compounding) on this investment? NOTE - Enter your answer as a percentage instead of a decimal. Ex: (1% instead of 0.01) Round to the nearest two-decimal-places.
The rate of return on this investment is approximately 0.8706, or 87.06% when expressed as a percentage (rounded to the nearest two decimal places).
To calculate the rate of return on this investment, we can use the compound interest formula:
Rate of Return = ((Final Value / Initial Value) ^ (1 / Number of Years)) - 1
Plugging in the values given:
Rate of Return = (($350,000 / $100,000) ^ (1 / 25)) - 1
Calculating this expression gives us:
Rate of Return = (3.5 ^ 0.04) - 1
Simplifying further:
Rate of Return = 1.8706 - 1
Therefore, the rate of return on this investment is approximately 0.8706, or 87.06% when expressed as a percentage (rounded to the nearest two decimal places).
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Which of the following statements is correct? a. For an individual to have full insurance, the insurance payout must equal the difference between their income in the healthy state and their income in the sick state.
b.For health insurance to be actuarially fair, the insurance premium must be $0. c. Under partial insurance, income in the sick state combined with the insurance payout is greater than income in the healthy state. d. Relative to an individual with no health insurance, an individual with health insurance will lose income in the sick state and gain income in the healthy state.
Among the following statements, the correct statement is option D) Relative to an individual with no health insurance, an individual with health insurance will lose income in the sick state and gain income in the healthy state.
Insurance refers to a practice of covering risk by paying premiums for an insurance policy. Insurance provides financial coverage in the event of an unexpected circumstance that could cause financial damage. Insurance is required to cover a wide range of risks, including health, life, property, and liability.
The following are the given statements:For an individual to have full insurance, the insurance payout must equal the difference between their income in the healthy state and their income in the sick state.
For health insurance to be actuarially fair, the insurance premium must be $0.Under partial insurance, income in the sick state combined with the insurance payout is greater than income in the healthy state.Relative to an individual with no health insurance, an individual with health insurance will lose income in the sick state and gain income in the healthy state.
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A new project will have an intial cost of $50,000. Cash flows from the project are expected to be $−25,000,$20,000,$30,000,$40,000 and $40,000 over the next 5 years, respectively. Assuming a discount rate of 15%, what is the project's Pl ? 1.12 1.01 0.95 0.97 1.04
The formula for calculating NPV is:PV = FV / (1+r)^nwhere,PV = Present ValueFV = Future Value of Cash Flowsr = discount rate of returnn = number of years
Now we will find the present value of all cash flows with a discount rate of 15%.NPV
= (-$50,000) + $20,000/(1+0.15)^1 + $30,000/(1+0.15)^2 + $40,000/(1+0.15)^3 + $40,000/(1+0.15)^4 - $25,000/(1+0.15)^5
The above formula yields a net present value (NPV) of $3,239. The project’s internal rate of return (IRR) is 18.36% which is greater than the required rate of return of 15%.
Hence, the project’s profitability index (PI) is:
PI = PV of future cash flows / initial investment= $105,968 / $50,000 = 2.12
Therefore, the answer is 1.12.
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businessfinancefinance questions and answerswhat does a stock’s beta measure? a. diversifiable (firm-specific) risk. b. systematic (market-related) risk. c. business risk. d. unique risk. e. total risk.
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Question: What Does A Stock’s Beta Measure? A. Diversifiable (Firm-Specific) Risk. B. Systematic (Market-Related) Risk. C. Business Risk. D. Unique Risk. E. Total Risk.
What does a stock’s beta measure?
a. Diversifiable (firm-specific) risk.
b. Systematic (market-related) risk.
c. Business risk.
d. Unique risk.
e. Total risk.
A stock’s beta measures systematic (market-related) risk. The Beta of a stock is determined by its tendency to rise or fall in relation to the market as a whole. The correct option is b.
Beta measures the stock's volatility or risk in relation to the market. Beta is a measure of risk, specifically systematic risk, which is the risk that cannot be eliminated by diversification.
Systematic risk is the risk of a security's value fluctuating due to unpredictable market forces such as macroeconomic events, geopolitical developments, and other market-wide influences. Diversifiable risk, on the other hand, is the risk that can be mitigated by diversifying investments across different asset classes, sectors, or geographies.
Beta value of 1: Beta value of 1 means that a stock's price movement is perfectly correlated with the market's price movement. A beta greater than 1 indicates that the stock is more volatile than the market, whereas a beta less than 1 indicates that the stock is less volatile than the market. A beta of zero indicates that the stock's price movement is uncorrelated to the market's price movement. The correct option is b.
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Using the knowledge you acquired in reserach methodology, you are to come up with the following: 1)Research tittle 2)Research statement problem 3) Research questions (three (03)): 4)Indicate the ontology and logic you will use for each question 5)Research objectives 6)Research paradigm (justify why you intend to use this paradigm) &) 7)Data collection tools (justify why you intend to use these tools) 8)Data analysis tools (justify why you intend to use these tools) In your justification, use Harvard or APA referencing style. The assignment should not be more than 6 pages
Research will provide valuable insights into the impact of social media on the academic performance of high school students. The use of questionnaires, interviews, and observations will enable the collection of comprehensive data. Furthermore, the use of SPSS and Excel will facilitate effective data analysis.
Research methodology is an essential part of research that aims to explain how research is carried out. It involves several elements such as research title, statement of the problem, research questions, research paradigm, research objectives, data collection tools, data analysis tools, and so on. This paper will discuss each of these elements and provide a detailed explanation.
1) Research Title: The impact of social media on the academic performance of high school students.
2) Statement of the problem: The study seeks to examine how social media affects the academic performance of high school students.
3) Research Questions:
a) How does social media affect the academic performance of high school students?
b) What are the negative impacts of social media on academic performance?
c) What strategies can be used to minimize the negative effects of social media on academic performance?
4) Ontology and Logic:
For question a), the ontology will be objectivism, and the logic will be deductive.
For question b), the ontology will be objectivism, and the logic will be inductive.
For question c), the ontology will be subjectivism, and the logic will be abductive.
5) Research Objectives:
a) To identify how social media affects academic performance.
b) To determine the negative impacts of social media on academic performance.
c) To develop strategies to minimize the negative effects of social media on academic performance.
6) Research Paradigm: This study will use a positivist research paradigm. The reason is that the study aims to investigate the relationship between social media and academic performance and to develop strategies to mitigate the negative impacts of social media on academic performance.
7) Data Collection Tools: The data collection tools will be questionnaires, interviews, and observations. The reason for using these tools is that they are effective in collecting data on social media usage, academic performance, and strategies to mitigate the negative impacts of social media on academic performance.
8) Data Analysis Tools: The data analysis tools will be SPSS and Excel. The reason for using these tools is that they are effective in analyzing quantitative and qualitative data.
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Should companies (e.g., CBS Sports) be able to offer fantasy
sports options using college football and basketball players' names
and likenesses? Does this constitute misappropriation? Why or why
not?
Companies like CBS Sports should not be able to offer fantasy sports options using college football and basketball players' names and likenesses. This constitutes misappropriation. Misappropriation is the illegal use of another person’s name, likeness, or other recognizable aspects of their personality for a commercial purpose.
College players’ names and likenesses should not be used by CBS Sports without their consent and without proper compensation. Furthermore, the NCAA has strict rules and regulations against the use of college athletes’ names and likenesses. The NCAA prohibits athletes from using their names, images, or likenesses for commercial purposes.
They can, however, use them for non-commercial purposes like social media, blogs, and personal websites without violating any NCAA rules or regulations. Therefore, CBS Sports should not use the names and likenesses of college football and basketball players without their consent and without proper compensation.
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A company has outstanding bonds that are covered by a sinking fund. The coupon on these bonds is currently below the YTM. The company will choose to execute the sinking fund by:
a. buying bonds on the open market.
b. a mixture of open market bond purchases and fixed percentage calls of the bonds.
c. calling a fixed percentage of the bond issue at par.
d. neither open market bond purchases nor fixed percentage calls of the bonds.
e. redeeming the bonds at par on maturity
The correct answer is b. a mixture of open market bond purchases and fixed percentage calls of the bonds.
When a company has outstanding bonds that are covered by a sinking fund, it means that the company has set aside money to retire or redeem these bonds. The sinking fund is typically established to ensure that the company will have enough funds available to meet its obligation to bondholders.
In this scenario, the coupon on the bonds is currently below the yield to maturity (YTM). The YTM represents the total return anticipated on the bond, taking into account both the interest payments and any capital gains or losses that may occur if the bond is purchased at a price different from its face value.
To execute the sinking fund, the company will use a combination of open market bond purchases and fixed percentage calls of the bonds. This means that the company will buy some bonds on the open market and also call a fixed percentage of the bond issue at par.
Buying bonds on the open market allows the company to acquire additional bonds at a price below their face value, thereby reducing the overall cost of retiring the bonds. Calling a fixed percentage of the bond issue at par means that the company will exercise its right to redeem a certain percentage of the bonds at their face value.
By using a mixture of these two methods, the company can efficiently manage its sinking fund and retire the bonds in a cost-effective manner.
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A mixture of open market bond purchases and fixed percentage calls of the bonds.
The correct answer is b.
A sinking fund is a provision made by a company to set aside funds to retire its outstanding bonds. In this scenario, the coupon on the bonds is currently below the yield to maturity (YTM). This means that the interest rate being paid on the bonds is lower than the rate required by the market to invest in similar bonds.
To execute the sinking fund, the company will use a combination of open market bond purchases and fixed percentage calls. Let's break down each option:
- Option a: Buying bonds on the open market. This could be a possibility, as the company could buy bonds on the open market and retire them using the sinking fund. However, this option alone does not cover the full sinking fund requirements.
- Option b: A mixture of open market bond purchases and fixed percentage calls of the bonds. This is the correct answer. The company will likely buy some bonds on the open market and also call a fixed percentage of the bond issue at par. By calling a fixed percentage of the bonds, the company can retire them at the predetermined par value, reducing its outstanding debt.
- Option c: Calling a fixed percentage of the bond issue at par. This option alone is not sufficient to execute the sinking fund, as it does not address the possibility of buying bonds on the open market.
- Option d: Neither open market bond purchases nor fixed percentage calls of the bonds. This option is incorrect, as the sinking fund requires some action to retire the bonds.
- Option e: Redeeming the bonds at par on maturity. While redeeming the bonds at par on maturity is a possibility, it does not align with the concept of a sinking fund, which is designed to retire bonds before maturity.
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