Question 21: Under policy, the change in profit is negative, indicating a decrease in profit. Therefore, the correct statement is:
b) As change in profit is negative, Mr. Binit should go for withdrawing discount
Question 22: Increase in investment receivables is calculated as:
a) Rs.1,12,500
Question 23: The loss of contribution due to the increase in sales is calculated as:
c) Rs.1,12,500
Question 24: Savings in receivables investment due to the decrease in sales will be calculated as:
b) Rs.32,812.50
Question 25: The cost of financing the increased investment in receivables will be calculated as:
a) Rs.29,687.50
To answer the questions, let's calculate the relevant figures based on the given information.
First, let's calculate the change in profit if the discount is withdrawn:
Average collection period under the current policy = 30 days
Average collection period if the discount is withdrawn = 35 days
Change in collection period = 35 days - 30 days = 5 days
Average daily sales = Annual sales / 365 days
Annual sales = Selling price per unit * Total units sold per year
Total units sold per year under the current policy = 2,10,000 units
Total units sold per year if the discount is withdrawn = 2,00,000 units
Annual sales under the current policy = Rs.45 * 2,10,000 units
Annual sales if the discount is withdrawn = Rs.45 * 2,00,000 units
Variable cost per unit = Rs.50 * 75% (variable cost to sales ratio)
Fixed cost per unit = Rs.50 - Variable cost per unit
Contribution margin per unit = Selling price per unit - Variable cost per unit
Now let's calculate the changes in different factors:
Change in profit due to increased collection period:
Change in profit = (Change in collection period / Average collection period) * Annual sales * Contribution margin per unit
Change in profit due to decreased sales:
Change in sales = (Total units sold per year under the current policy - Total units sold per year if the discount is withdrawn) * Contribution margin per unit
Increase in investment in receivables:
Increase in investment in receivables = (Change in collection period / 365) * Annual sales
Savings in receivables investment due to decreased sales:
Savings in receivables investment = (Change in sales / Total units sold per year under the current policy) * Increase in investment in receivables
Cost of financing the increased investment in receivables:
Cost of financing = Increase in investment in receivables * Required rate of return on investment.
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1- differentiate between the following:
A- risk aversion and loss aversion
B- probability value and decision weights
2- what do you understand by cognitive errors? explain with the help of suitable examples.
3- what is metal accounting? explain with example
1- A: Risk aversion and loss aversion are both concepts related to decision-making under uncertainty.
B: Probability value and decision weights are both terms used in decision theory and behavioral economics.
2. Cognitive errors refer to the systematic and predictable mistakes in thinking that humans often make due to cognitive biases and heuristics. These errors can lead to irrational judgments and decision-making.
3. Mental accounting refers to the psychological process by which individuals categorize and evaluate different financial transactions or resources separately, even when they could be treated as a single pool of money
1- A: Risk aversion refers to the tendency of individuals to prefer a certain outcome with a lower payoff over an uncertain outcome with a higher potential payoff. In other words, risk-averse individuals are willing to give up the possibility of higher returns to avoid the potential of losses.
For example, someone might choose to invest their money in a low-risk savings account that offers a guaranteed but lower return instead of investing in a high-risk stock market that has the potential for higher returns but also the risk of losses.
Loss aversion, on the other hand, refers to the tendency of individuals to feel the pain of losses more strongly than the pleasure of gains. Loss-averse individuals are more motivated to avoid losses than to seek gains. For example, if someone loses $100, they may feel the impact of that loss more intensely than the pleasure they would feel from gaining $100.
B: Probability value refers to the likelihood or chance of a particular outcome occurring. It is usually expressed as a number between 0 and 1, where 0 represents impossibility and 1 represents certainty. For example, if the probability of an event happening is 0.8, it means there is an 80% chance of that event occurring.
Decision weights, on the other hand, refer to the subjective importance or weight given to different outcomes when making a decision. Decision weights can be influenced by various factors, including personal preferences, beliefs, and attitudes. For example, if someone values financial stability highly, they may assign a higher decision weight to a certain outcome that provides financial security, even if the probability of that outcome is relatively low.
2- One example of a cognitive error is the availability heuristic. This heuristic refers to the tendency to judge the likelihood of an event based on how easily examples of that event come to mind. For instance, if someone sees news reports of multiple shark attacks, they may overestimate the risk of a shark attack while swimming in the ocean, even though the actual probability of a shark attack is extremely low.
Another example is the confirmation bias, which is the tendency to search for, interpret, and remember information in a way that confirms preexisting beliefs or expectations. For example, if someone strongly believes that vaccines are harmful, they may selectively seek out and remember information that supports their belief while ignoring or discounting evidence that contradicts it.
3- For example, someone might have a mental account for their monthly salary, a separate account for savings, and another account for entertainment expenses. Each mental account is treated as separate, and individuals may make decisions based on the balances or available resources within each account, even if it would be more rational to consider the overall financial situation.
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Question. [10 points] Consider the following total market demand for screen protectors: Q=6000- ----P a) [3 points] Calculate the quantity, the price and the profits of a monopolist Alpha with a marginal cost of production of £120. b) [5 points] What would be the quantity, the price and the profits if Alpha were able to apply first-degree price discrimination? c) [2 points] Assume instead that Alpha is not alone. Another company, Beta, is also producing and selling screen protectors in the market. Furthermore, suppose consumers perceive both products as imperfect substitutes (hori- zontally differentiated). Also, MC = MCB = 120, but now the demands for each firm's version of the product are, 1 Qa=6000 - Pa + Pa 2 Q = 6000 - P₁+ - Pa What are the prices charged by Alpha and Beta in equilibrium if both decide simultaneously?
a) Monopolist Alpha: Equate MC and MR for equilibrium.
b) First-degree price discrimination: Vary prices based on customers' willingness to pay.
c) Alpha and Beta competition: Equilibrium prices set by MR = MC for both firms.
a) To calculate the quantity, price, and profits of monopolist Alpha, we need to find the monopolist's equilibrium point where marginal cost (MC) equals marginal revenue (MR).
Given the total market demand equation: Q = 6000 - P
The marginal revenue (MR) can be calculated by differentiating the total revenue (TR) function with respect to quantity (Q):
MR = dTR/dQ
TR = PQ (total revenue)
MR = d(PQ)/dQ = P + Q(dP/dQ)
Since we have the demand equation Q = 6000 - P, we can substitute this into the marginal revenue equation:
MR = P + (6000 - P)(dP/dQ)
For a monopolist, the profit-maximizing condition occurs when MR = MC. In this case, the marginal cost (MC) is £120.
P + (6000 - P)(dP/dQ) = 120
Now, we can solve this equation to find the quantity (Q) and price (P) at the monopolist's equilibrium point.
b) First-degree price discrimination, also known as perfect price discrimination, involves the monopolist charging each customer their willingness to pay. In this scenario, we assume the monopolist can perfectly observe each customer's willingness to pay.
Since the monopolist can charge each customer their maximum willingness to pay, the price for each unit sold will vary depending on the customer. As a result, there won't be a single price and quantity.
To calculate profits, we need to integrate the individual consumer surplus for each customer who buys the product. However, without information on the specific individual demand functions, it is not possible to provide a precise answer.
c) In this scenario, where Alpha and Beta are producing and selling screen protectors simultaneously, and the products are perceived as imperfect substitutes, we have two competing firms. Let's calculate the prices charged by Alpha and Beta in equilibrium.
The demand functions for Alpha and Beta are as follows:
Qa = 6000 - Pa + Pa2
Qb = 6000 - P1 + Pa
To find the equilibrium prices, we need to determine the point where both firms' marginal costs (MC) equal their marginal revenues (MR).
For Alpha (firm A):
MRa = Pa + (6000 - Pa + Pa2) * (dPa/dQa)
For Beta (firm B):
MRb = P1 + (6000 - P1 + Pa) * (dPa/dQb)
Set MRa = MC = MRb = MC = 120 and solve for the equilibrium prices charged by Alpha (Pa) and Beta (P1).
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1. Explain how traditional thoughts of leadership hinders a woman or person of color's ability to lead in US or Canada?
True or False (Please Justify answer):
An income tax does not distort people's saving decisions if the
interest is exempt from tax.
False. An income tax does distort people's saving decisions, even if the interest is exempt from tax.
The reason is that an income tax affects the overall income individuals have available to save. When individuals face higher tax rates on their income, they have less disposable income left for saving. This reduction in available income can influence individuals' saving decisions, as they may choose to save less or alter their saving behavior to mitigate the impact of the tax. Therefore, even if the interest earned on savings is exempt from tax, the income tax itself can still have a distorting effect on people's saving decisions by affecting their overall income and disposable income available for saving.
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The Economist is a weekly magazine that focuses on current affairs, economic issues, international business, and politics. It is purchased by both business people and university students.
Are business people and students charged the same price? Explain with the aid of a diagram, showing prices and quantity sold to each customer segment.
The Economist is a weekly magazine that focuses on current affairs, economic issues, international business, and politics. It is purchased by both business people and university students. However, business people and students are not charged the same price because they have different demand curves for the product.
When it comes to pricing strategy, the Economist group recognizes the need to appeal to different segments of customers. In this regard, they charge different prices for the magazine based on the target audience.
The diagram below shows the demand curves for both business people and students, as well as the pricing and quantity sold for each group:
The demand curve for business people is relatively inelastic (steeper), indicating that they are willing to pay more for the product. For instance, if the price of the magazine is $8, the number of magazines sold to business people will be 1.4 million.On the other hand, the demand curve for students is more elastic (flatter), which implies that they are not willing to pay as much for the product. If the price of the magazine is $4, the number of magazines sold to students will be 1.6 million.
The Economist, therefore, charges higher prices to business people compared to students because they are willing to pay more for the magazine. While the price of the magazine may be a little bit higher, business people are willing to pay the premium price for the magazine because they can benefit from the information in the magazine to improve their businesses.
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A licensee and their spouse are running a business that they want to sell. The business contract is only under the spouse's name. Which answer is correct?A. The licensee must disclose their license B. Both the Spouse and Licensee have to sign. C. Only the Spouse can sign the contract D. They must list the property with their current broker.
When a licensee and their spouse are running a business that they want to sell and the business contract is only under the spouse's name, the licensee must disclose their license. This is the correct answer (Option A).
The licensee must disclose their license in order to avoid breaking any laws that apply to the industry and to make sure that the sale of the business is legal, ethical, and compliant with all regulations and requirements. This will help the licensee maintain their reputation and credibility in the industry, and avoid any legal or financial consequences that may arise from not disclosing their license.
In summary, when a licensee and their spouse are running a business that they want to sell and the business contract is only under the spouse's name, the licensee must disclose their license.
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How will financing a new car hurt or help you achieve your financial goals? What is the opportunity cost of paying cash for a used car? and will this positively impact your financial plan and goals? Is public transportation a viable solution to eliminate the opportunity costs of buying a car, new or used?
Financing a new car will affect the achievement of an individual’s financial goals in many ways. One way is by increasing the expenses and lowering the disposable income of the individual. Financing a new car usually involves taking a loan that has a high-interest rate, and this means that the individual will have to pay higher premiums. Moreover, when financing a new car, the individual will be required to pay a down payment, which is usually a significant amount of money. The money paid as a down payment could have been used to fund other investments, which could have contributed to the achievement of the individual’s financial goals.
Financing a new car could also positively impact an individual’s financial goals by providing them with a reliable means of transport that could contribute to their productivity. If an individual’s work involves travel or transportation, then owning a car would positively impact their income. Additionally, financing a new car provides an individual with an opportunity to build a good credit score, which could be beneficial when taking future loans. The opportunity cost of paying cash for a used car is that the individual would have to forego the opportunity of investing the money in other profitable ventures. Additionally, a used car may be unreliable and may require frequent repairs, which could lead to the individual incurring additional expenses. The use of public transportation is a viable solution to eliminate the opportunity costs of buying a car, new or used. Using public transportation would save the individual the expenses associated with owning a car, such as fuel, maintenance, and repair costs. Additionally, using public transportation would also contribute to the individual's health by providing them with an opportunity to exercise by walking to and from the stations or stops. However, the use of public transportation could negatively impact an individual’s productivity, especially if the individual’s work involves travel.
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True or false: if rajiv is risk averse, then he prefers a guaranteed $150 over a 50-50 gamble between $0 and $300.
True, if Rajiv is risk-averse, he prefers a guaranteed $150 over a 50-50 gamble between $0 and $300.
If Rajiv is risk-averse, it means he dislikes uncertainty and prefers safer options. In this case, the 50-50 gamble offers a potential gain of $300 but also a potential loss of $0. The expected value of the gamble is $150 (0.5 * $0 + 0.5 * $300 = $150). However, since Rajiv is risk-averse, he is likely to prioritize the guaranteed outcome of $150 over the uncertain gamble. This is because the certainty of the guaranteed $150 aligns better with his risk-averse attitude, ensuring he avoids the possibility of ending up with nothing.
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LA 3: Learn about the most popular and successful business transformations from the following source in your library:
Harvard Business Review (2020). The Top Business Transformations of the Past Decade. Harvard Business Review, 98(2), 25.
(Note: Check the list of organizations mentioned in the box, including Netflix, Adobe, etc.). These firms have been able to adapt and the reason for their successful transformation is also mentioned.
Read more about any one of these organizations and discuss the factors that contributed to organizational capacity to change. Do the factors identified align with the dimensions explained by Judge (2012; i.e. chapter from your textbook). Why or why not?
Instructions
Students will post their views in the discussion forum and the peers can comment on the views shared by each student. Peers can contribute to the discussion. As the discussion unfolds, the contributors should discuss how their choices were inspired by the unit reading(s).
The Harvard Business Review article "The Top Business Transformations of the Past Decade" highlights successful business transformations in various organizations, including Netflix, Adobe, and others.
One of the organizations mentioned in the Harvard Business Review article is Netflix. Netflix's successful transformation from a DVD rental service to a leading streaming platform is a notable example. Several factors contributed to Netflix's capacity for change. Firstly, the organization demonstrated strategic foresight by recognizing the shift in consumer preferences toward digital streaming and adapting its business model accordingly. Secondly, Netflix invested heavily in technology and infrastructure to support its streaming platform, ensuring a seamless and user-friendly experience for customers. Additionally, Netflix prioritized content creation and adopted a data-driven approach to personalize recommendations, further enhancing customer satisfaction.
When comparing these factors to Judge's dimensions of organizational change, there is alignment. Judge emphasizes the importance of strategic vision and adaptability in driving organizational change. Netflix's recognition of the industry shift and subsequent strategic pivot aligns with this dimension. Furthermore, Judge highlights the significance of technology and data in facilitating change. Netflix's investments in technology and data-driven decision-making align with this dimension as well.
Overall, the factors contributing to Netflix's successful transformation align with the dimensions explained by Judge, emphasizing the importance of strategic vision, adaptability, technology, and data in driving organizational change.
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IM.62 Athletic Apparel is trying to determine how to manage their stock of t-shirts. For one particular size and color they have an average daily demand of 19 shirts, but it varies by about 6 shirts per day. Their lead time for receiving new t-shirts is 6 days. They are striving for a 95% service level.
What should be their safety stock for this particular t-shirt? (Display your answer to two decimal places.)
What should be their reorder point for this particular shirt? (Display your answer to two decimal places
IM.62 Athletic Apparel is trying to determine how to manage their stock of t-shirts. For one particular size and color, they have an average daily demand of 19 shirts, but it varies by about 6 shirts per day. Their lead time for receiving new t-shirts is 6 days.
They are striving for a 95% service level. The service level is the percentage of times that customers receive their orders on or before the promised due date. To achieve this, companies must provide accurate estimates of demand and lead time, and they must maintain appropriate levels of safety stock. Therefore, to calculate the safety stock and reorder point for the particular T-shirt, the following steps can be taken:
Safety Stock= z* σL*z*σL* = 1.65 * 6 shirts = 9.9 shirts, which means the company must keep a safety stock of 10 shirts. Reorder Point= (average demand per day x lead time in days) + safety stock Reorder Point = (19 shirts/day * 6 days) + 10 shirts = 124 shirts.Hence, their safety stock for this particular T-shirt should be 10 shirts, and their reorder point for this T-shirt should be 124 shirts.
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Requirement 1: At 4.75 percent interest, how long does it take to double your money? (Enter rounded answer as directed, but do not use rounded numbers in intermediate calculations. Round your answer t
To determine how long it takes to double your money at an interest rate of 4.75 percent, we can use the concept of the "Rule of 72." The Rule of 72 states that you can approximate the doubling time by dividing 72 by the interest rate.
In this case, dividing 72 by 4.75 percent gives us approximately 15.16. Therefore, it would take approximately 15.16 years to double your money at a 4.75 percent interest rate.
The Rule of 72 provides a quick estimation for doubling time, assuming compound interest and a constant interest rate. It is a useful tool for making rough calculations and understanding the impact of different interest rates on investments. However, it is important to note that it is an approximation and may not give an exact result. For precise calculations, the actual compound interest formula should be used.
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Using economic concepts, discuss the impact of the following events on the equilibrium price level and output:
a) In an effort to fight inflation, the Reserve Bank of Australia decides to implement a contractionary monetary policy.
b) In an effort to fight economic recession Australian Government decides to increase spending.
c) Due to the outbreak of disease in Asia, shipments of input products from Asia to Australia have decreased significantly
a) When the Reserve Bank of Australia implements a contractionary monetary policy to fight inflation, it aims to reduce the money supply and increase interest rates.
This policy will have an impact on the equilibrium price level and output. Higher interest rates will discourage borrowing and investment, leading to a decrease in aggregate demand. As a result, the demand for goods and services will decrease, which can lead to a decrease in both the equilibrium price level and output.
b) When the Australian Government increases spending in an effort to fight economic recession, it aims to stimulate aggregate demand. This increase in government spending will have an impact on the equilibrium price level and output.
Higher government spending can lead to an increase in aggregate demand, as more money is injected into the economy. This can result in an increase in both the equilibrium price level and output.
c) The decrease in shipments of input products from Asia to Australia due to the outbreak of disease in Asia will have an impact on the equilibrium price level and output.
With a decrease in the supply of input products, the cost of production for Australian businesses will likely increase. This increase in production costs can lead to a decrease in aggregate supply. As a result, the equilibrium price level may increase, while the output may decrease due to reduced production capacity.
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Hook Industries's capital structure consists solely of debt and common equity. It can issue debt at rd = 11%, and its common stock currently pays a $3.00 dividend per share (D0 = $3.00). The stock's price is currently $29.50, its dividend is expected to grow at a constant rate of 5% per year, its tax rate is 25%, and its WACC is 13.10%. What percentage of the company's capital structure consists of debt? Do not round intermediate calculations. Round your answer to two decimal places.
The percentage of the company's capital structure consisting of debt is 0%. The percentage of the company's capital structure consisting of debt can be calculated as follows:
Step 1 Calculate the cost of equity using the dividend growth model. The formula is as follows:
Ke = D1 / P0 + gKe = $3.15 / $29.50 + 0.05Ke = 0.1576 or 15.76%
Step 2 Calculate the cost of debt using the given rate. The formula is as follows:
Kd = rd * (1 - T)Kd = 11% * (1 - 0.25)Kd = 8.25%
Step 3 Calculate the weight of equity using the formula:
We = E / VWe = $29.50 / ($29.50 + $0)We = 1 or 100%
Step 4 Calculate the weight of debt using the formula:
Wd = D / VWd = $0 / ($29.50 + $0)Wd = 0 or 0%
Step 5 Calculate the weighted average cost of capital using the formula:
WACC = Ke * We + Kd * WdWACC = 0.1576 * 1 + 0.0825 * 0WACC = 0.1576 or 15.76%
Hence, the percentage of the company's capital structure consisting of debt is 0%.
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A college plans to set up an endowment func that will provide a scholarship of $4,500 at the end of every quarter, in perpetuity. How much should the college invest in the fund, if the fund earns 4.75% compounded quarterly?
To solve for how much a college should invest in an endowment fund, given the scholarship and interest rate, we need to use the formula for the present value of an annuity. Here's how to solve the problem:Let P be the present value of the fund. The scholarship is $4,500 per quarter, so that's $18,000 per year.
The interest rate is 4.75% compounded quarterly, or 1.1875% per quarter. Since the scholarship is paid at the end of every quarter, the compounding frequency matches the payment frequency. The formula for the present value of an annuity is :PV = A * [(1 - (1 + r)^-n) / r]where A is the periodic payment, r is the interest rate per period, and n is the total number of periods .To use this formula, we need to solve for PV. We know that A = $18,000,
r = 1.1875%, and n is infinite, since the scholarship is paid in perpetuity.
Therefore :P = $18,000 * [(1 - (1 + 0.011875)^-∞) / 0.011875]P
= $18,000 * (1 / 0.011875)P
= $1,516,842.11Therefore, the college should invest $1,516,842.11 in the endowment fund if they want to provide a scholarship of $4,500 at the end of every quarter, in perpetuity, with an interest rate of 4.75% compounded quarterly.
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ATR Company has a debt-to-equity ratio of 3/5. If the WACC is
19.80% and the pretax cost of debt is 9.00%, what is the cost of
common equity assuming a tax rate of 36%?
a.
21.71%
b.
40.86%
c.
31.68%
d
Thus, the cost of equity for the company is 21.71%. The correct option is a.
Given,
Debt-to-Equity ratio = 3/5
= 0.6 and
the WACC = 19.8%
The formula for WACC is
WACC = wd (1-t) Kd + wps Kps + wcs Kcs,
where wd, wps, and wcs are the weights of debt, preferred stocks, and common stocks, respectively;
Kd, Kps, and Kcs are the cost of debt, preferred stocks, and common stocks, respectively;
and t is the tax rate.
We need to find Kcs.
Let’s first find the weight of equity.
Since Debt-to-Equity ratio is 3/5, this implies that Debt = 3 and Equity = 5.
Kd = 9.00%
T = 36% (given)
WACC = 0.198
Now, WACC = wd (1-t) Kd + wcs Kcs.
Let’s rearrange the terms to find Kcs.
WACC - wd (1-t) Kd / wcs = Kcs.
Substituting the given values in the equation, we get
Kcs = (0.198 – 0.54 x 0.09) / (1 – 0.6)
Kcs = 0.0308 or 3.08%
Thus,
the cost of equity = 3.08 / 0.4
= 7.7%
Kce = Kcs + (Kcs-Kd) * D/E
where
D/E = 3/5 = 0.6,
Kce = cost of equity,
Kcs = cost of common stock,
Kd = pre-tax cost of debt
As per above formulae;
Kce = 0.09 + (0.09 - 0.036) * 0.6 / 0.4
Kce = 21.71%
The correct option is a.
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Consider a four year bond with nominal value 100 and coupon 4. The yield curve is flat at y = 0.025. Calculate the change of the present value of the bond for a yield change of +100 basis points using (i) the exact calculation, (ii) duration approximation, and (iii) duration and convexity approximation.
(i) Exact Calculation: The change in the present value of the bond for a +100 basis points yield change is $96.195. (ii) Duration Approximation: The estimated change in the bond price is -$0.03848.
To determine the change in the present value of the bond for a yield change of +100 basis points, we will use the following information:
Nominal value (Face value) = $100
Coupon = 4%
Yield (y) = 0.025 (2.5%)
(i) Exact Calculation:
The exact calculation involves discounting each cash flow using the new yield rate and subtracting the original present value of the bond.
New yield (y') = 0.025 + 0.01 (100 basis points increase) = 0.035 (3.5%)
Year 1: Cash flow = $4, Present value = $4 / (1 + 0.035)^1 = $3.869
Year 2: Cash flow = $4, Present value = $4 / (1 + 0.035)^2 = $3.748
Year 3: Cash flow = $4, Present value = $4 / (1 + 0.035)^3 = $3.631
Year 4: Cash flow = $104 ($100 face value + $4 coupon), Present value = $104 / (1 + 0.035)^4 = $92.557
Change in present value = Original present value - New present value
Change in present value = $100 - ($3.869 + $3.748 + $3.631 + $92.557) = $96.195
(ii) Duration Approximation:
The duration of the bond is a measure of its price sensitivity to changes in yield.
Duration (D) = [(1 × PV1) + (2 × PV2) + (3 × PV3) + (4 × PV4)] / Bond Price
Bond Price = (PV1 + PV2 + PV3 + PV4)
PV1 = $3.869, PV2 = $3.748, PV3 = $3.631, PV4 = $92.557
Duration (D) = [(1 × $3.869) + (2 × $3.748) + (3 × $3.631) + (4 × $92.557)] / ($3.869 + $3.748 + $3.631 + $92.557) = 3.848 years
Using the duration approximation formula, the change in the bond price can be estimated as follows:
Change in bond price = (-Duration) × (Change in yield)
Change in bond price = (-3.848) × (0.01) = -$0.03848
(iii) Duration and Convexity Approximation:
Convexity (C) is a measure of the curvature of the bond's price-yield relationship.
Convexity (C) = [(1 × PV1) + (2 × PV2) + (3 × PV3) + (4 × PV4)] / (Bond Price × (1 + Yield)^2)
Convexity (C) = [(1 × $3.869) + (2 × $3.748) + (3 × $3.631) + (4 × $92.557)] / (($3.869 + $3.748 + $3.631 + $92.557) × (1 + 0.025)^2) = 14.575
Using the duration and convexity approximation formula, the change in the bond price can be estimated as follows:
Change in bond price = (-Duration) × (Change in yield) + (0.5 × Convexity × (Change in yield)^2)
Change in bond price = (-3.848) × (0.01) + (0.5 × 14.575 × (
0.01)^2) = -$0.03848 + $0.0072875 = -$0.0311925
To summarize:
(i) Exact Calculation: Change in present value = $96.195
(ii) Duration Approximation: Change in bond price = -$0.03848
(iii) Duration and Convexity Approximation: Change in bond price = -$0.0311925
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Define capital budgeting, explain why it is important, and state
how project proposals are generally classified.
Capital budgeting is a method of selecting and evaluating long-term investment opportunities that will provide long-term benefits to the company. This includes investment in machinery, plant, land, and other long-term assets. Capital budgeting is an important process for companies because
it helps them determine the best use of their financial resources to achieve their long-term goals and objectives. It is important for companies to select the most appropriate investment opportunities because poor investment decisions can have serious consequences for a company, including reduced profitability, loss of market share, and reduced competitiveness.
The process of capital budgeting involves several steps, including identifying potential projects, estimating the costs and benefits of each project, and evaluating the risks associated with each project. Once these steps have been completed, project proposals are generally classified into three categories: 1. Replacement projects, which involve the replacement of existing assets that are no longer adequate or efficient.
2. Expansion projects, which involve the expansion of existing operations or the addition of new products or services. 3. New projects, which involve the development of new products or services or the establishment of new operations in new markets. In conclusion, capital budgeting is a vital process for companies as it helps them make informed investment decisions that can lead to long-term growth and profitability.
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1. What are some characteristics associated with dividends paid
on common stock? What is a dual class firm? Why do firms typically
issue dual classes of common stock? Who are major holders of
corporat
Dividends paid on common stock are characterized by being discretionary, meaning they are not guaranteed and depend on the company's profitability and board of directors' decision.
Dividends can be paid in cash or additional shares of stock, and they provide a return to shareholders. A dual class firm refers to a company that has multiple classes of common stock, typically with different voting rights. Firms may issue dual classes of stock to retain control in the hands of founders or certain shareholders while still allowing for public investment. Major holders of corporate stock can include institutional investors, such as mutual funds, pension funds, and other large financial institutions.
Dividends on common stock are not obligated and are determined by the company's financial performance and the discretion of the board of directors. They can be distributed as cash payments or additional shares of stock, providing a return on investment to shareholders.
A dual class firm is a company that issues multiple classes of common stock with different voting rights. Typically, one class (usually Class A) has more voting power than the other class (usually Class B). This structure allows founders or certain shareholders to retain control over the company while still raising capital through public stock offerings.
Firms may choose to issue dual classes of common stock to ensure that key decision-makers maintain control and have the ability to make long-term strategic decisions without being swayed by short-term pressures from public shareholders. This structure is common in technology companies, where founders want to maintain their influence and vision.
Major holders of corporate stock can include institutional investors such as mutual funds, pension funds, and other large financial institutions. These entities invest significant amounts of capital on behalf of individuals and organizations, and they can hold substantial ownership stakes in companies, influencing corporate governance and decision-making.
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Use the financial information for Illinois Tool Works (ticker: ITW) shown below. You want to consider the level of cheapness of ITW relative to its Book Value. What is the current (as of 12/31/2019) Price-to-Book Ratio if there are 324 million shares outstanding at the end of 2019. State your answer with two decimal places of accuracy.
Illinois Tool Works (ticker: ITW) is one of the multinational industrial products companies in the United States. According to the data above, the book value of equity at the end of 2019 is $5,364 million.
To find the current price-to-book ratio of Illinois Tool Works (ITW), you can use the following formula: P/B Ratio = Market price per share / Book value per share To obtain the book value per share, we need to divide the total book value by the number of outstanding shares. The equation is given below: Book Value Per Share = Book Value of Equity / Number of Shares Book Value Per Share = $5,364 million / 324 million shares = $16.53
Using the information given above, the current price-to-book ratio of Illinois Tool Works (ITW) can be calculated as follows: Price-to-Book Ratio = Market Price per Share / Book Value Per Share Price-to-Book Ratio = $180.71 / $16.53Price-to-Book Ratio = 10.92.
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Which one of these is NOT a question that macroeconomics strives to answer? How can developing countries experience economic growth? How can the government lessen the effects of recessions? Why are some countries rich while other countries are poor? Why do consumers prefer certain brands for products?
The question that macroeconomics does not strive to answer is "Why do consumers prefer certain brands for products?"
Macroeconomics is a branch of economics that focuses on the behavior and performance of an entire economy. It deals with aggregate variables such as national income, employment, inflation, and overall economic growth. The main objective of macroeconomics is to understand and analyze the functioning of the economy as a whole rather than individual consumer choices or preferences.
While consumer preferences and brand choices are important factors in microeconomics, they are not typically within the purview of macroeconomics. Microeconomics is concerned with individual economic units such as households, firms, and markets, and it examines how their decisions affect the allocation of resources. On the other hand, macroeconomics examines the broader economic factors that influence the overall performance of an economy.
Macroeconomics strives to answer questions like how to achieve economic growth, how to mitigate the impact of recessions, and why some countries are richer than others. These questions involve studying factors such as government policies, fiscal and monetary measures, international trade, and the overall functioning of markets.
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earson Motors has a target capital structure of 45% debt and 55% common equity, with no preferred stock. The yield to maturity on the company's outstanding bonds is 8%, and its tax rate is 30%. Pearson's CFO estimates that the company's WACC is 8.12%. What is Pearson's cost of common equity? 4.52%
10.18%
18.04%
8.22%
14.76%
Question 9 ( 6 points) 1t you theent 02,000 in ATLT otook with an expected rate of return or 108 17.45. 13.5×
Pearson's CFO estimates that the company's WACC is 8.12% .Pearson's cost of common equity is approximately 14.70% Option E is correct .
Pearson's cost of common equity can be calculated using the following formula:
Cost of Common Equity = Risk-Free Rate + Beta * Equity Risk Premium
We can use the Weighted Average Cost of Capital (WACC) formula to find the cost of common equity. The WACC formula is:
WACC = (Weight of Debt * Cost of Debt) + (Weight of Equity * Cost of Equity)
Given that Pearson's target capital structure is 45% debt and 55% common equity, and the cost of debt is given as 8% (yield to maturity on outstanding bonds), we can calculate the cost of equity.
Let's solve for the cost of equity step by step:
1. Weight of Debt = 45%
2. Weight of Equity = 55%
3. Cost of Debt = 8%
4. WACC = 8.12%
Now, let's substitute these values into the WACC formula and solve for the cost of equity:
8.12% = (0.45 * 8%) + (0.55 * Cost of Equity)
Multiply and simplify:
8.12% = 0.036 + 0.55 * Cost of Equity
Subtract 0.036 from both sides:
8.12% - 0.036 = 0.55 * Cost of Equity
8.084% = 0.55 * Cost of Equity
Divide both sides by 0.55:
Cost of Equity = 8.084% / 0.55 ≈ 14.70%
Therefore, Pearson's cost of common equity is approximately 14.70%.
Incomplete question :
Pearson Motors has a target capital structure of 45% debt and 55% common equity, with no preferred stock. The yield to maturity on the company's outstanding bonds is 8%, and its tax rate is 30%. Pearson's CFO estimates that the company's WACC is 8.12%. What is Pearson's cost of common equity? 4.52%
A. 10.18%
B. 18.04%
C. 8.22%
D. 14.76%
E. 14.70 %
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28. Suppose a monopolist has a total cost function TC = 100 + 10Q + 2Q2, and the demand curve it faces is P = 90 - 2Q. Marginal cost corresponding to the profit-maximizing output level is
a.
10
b.
70
c.
40
d.
50
So the correct option is D. To find the profit-maximizing output level for a monopolist, we need to equate marginal cost (MC) with marginal revenue (MR) and solve for the quantity (Q).
The marginal cost (MC) is the derivative of the total cost function with respect to quantity (MC = dTC/dQ).
Taking the derivative, we get MC = 10 + 4Q.
To find marginal revenue (MR), we take the derivative of the demand curve with respect to quantity (MR = dTR/dQ).
Taking the derivative, we get MR = 90 - 4Q.
To maximize profit, we set MR equal to MC:
90 - 4Q = 10 + 4Q
Combining like terms, we get 8Q = 80, which simplifies to Q = 10.
Therefore, the profit-maximizing output level is Q = 10.
To find the corresponding marginal cost (MC) at this output level, we substitute Q = 10 into the MC equation:
MC = 10 + 4(10) = 50.
Therefore, the correct answer is d. 50. The marginal cost corresponding to the profit-maximizing output level is 50.
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How much performance do investors typically sacrifice by investing sustainably? Significant loss None - outperformance None - comparable performance Moderate loss
The performance of any investment, sustainable or otherwise, can vary depending on various factors such as market conditions, individual company performance, and investor goals. Therefore, it's always advisable to conduct thorough research, diversify your portfolio, and consult with a financial advisor to make informed investment decisions.
Investors who choose to invest sustainably typically do not sacrifice performance. In fact, sustainable investments can potentially outperform traditional investments in certain cases. Here's why:
1. Growing market demand sustainable investing has gained popularity in recent years due to increasing awareness of environmental, social, and governance (ESG) issues. As a result, there is a growing demand for sustainable investments, which can lead to higher prices and potentially better returns.
2. Long-term focus sustainable investing often involves considering factors such as environmental impact, social responsibility, and good governance practices. Companies that prioritize these factors tend to have a long-term focus and may be better positioned to weather economic downturns or market fluctuations.
3. Risk management sustainable investing takes into account various non-financial risks, such as climate change, social unrest, and regulatory changes. By integrating these risks into investment decisions, investors can potentially reduce their exposure to certain risks and enhance long-term performance.
4. Innovation and efficiency many sustainable companies are at the forefront of innovation, developing new technologies and solutions to address sustainability challenges. These companies can benefit from cost savings, operational efficiency, and market opportunities, which can contribute to their financial performance.
While there might be some individual cases where sustainable investments underperform in the short term, research and studies suggest that over the long term, there is no significant loss or sacrifice of performance by investing sustainably. In fact, sustainable investing can provide comparable or even better performance than traditional investments.
It's important to note that the performance of any investment, sustainable or otherwise, can vary depending on various factors such as market conditions, individual company performance, and investor goals. Therefore, it's always advisable to conduct thorough research, diversify your portfolio, and consult with a financial advisor to make informed investment decisions.
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The common law system is based on
A. Case Law Precedence
B. Primarily a Civil Code
C. Stare Decisis
D. The same foundation as the system in Louisiana
A and B
A and C
B and D
B, C, and D
A, B, C, and D.
The common law system is based on Case Law Precedence and Stare Decisis.
What is a Common Law system?The common law system is one of the two primary legal systems used throughout the world, with the other being the civil law system. The common law system is a legal system that relies on prior court decisions to establish precedence. Precedent is the legal principle of deciding current cases by reference to previous decisions. A common law system differs from a civil law system in several ways.
In common law legal systems, decisions made by judges in prior court cases set a precedent that courts follow in future cases that involve the same legal problems. The court uses these past decisions to rule on new cases that have similar factual or legal situations.
The common law system is based on two primary components: Case Law Precedence and Stare Decisis.
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1 (45 marks) A firm's production function is q=ak¹/3L¹/3 where q is the quantity of final production, K is the quantity of capital, and I is the quantity of labor, a > 0. Suppose that each unit of capital costs r, and each unit of labor costs w. (a) (5 marks) Does this production function exhibit increasing, decreasing, or constant returns to scale? Justify your answer. (b) (5 marks) Find the optimal quantities of capital and labor for this firm as a function of r, w, and q (where q is the quantity to be produced). (c) (5 marks) Based on your answer in part (b), derive the firm's demand function for capital (i.e., the quantity of capital that the firm would use as a function of r, w, and q). Given constant values of w and q, find the slope of the (inverse) demand curve for capital (K as a function of r). Is the (inverse) demand curve for capital downward or upward-sloping? (d) (5 marks) Is the demand for capital elastic or inelastic with respect to its own price? Show your work. (e) (5 marks) Suppose w = r =a³/². Derive the (long-run) total, average, and marginal cost functions. (f) (5 marks) How do average costs change when the output increases? Explain why this is the case by comparing marginal costs and average costs, and provide an intuitive explanation. (g) (5 marks) Write the equation of the (inverse) supply curve of this firm (with price P as a function of the quantity q). Draw this supply curve (with P in the vertical axis, and q in the horizontal axis). (h) (5 marks) Suppose that there are 81 identical companies in total in the market, all of them with the same production function of this question. There are no prospects of additional firms that could enter the market. Write the equation of the market (inverse) supply curve (with price P as a function of the quantity Q). Draw this supply curve (with P in the vertical axis and Q in the horizontal axis), where is the total quantity produced in the market. (i) (5 marks) Suppose that the price in the market is P = 27. Obtain the production of each firm, qi, AND the production in the market, Q.
(a) The production function exhibits constant returns to scale. (b) The optimal quantities of capital and labor can be determined by taking partial derivatives and setting them equal to the input prices.
(a) The production function exhibits constant returns to scale because if all inputs are scaled up by a factor, the output will increase by the same factor.
(b) The optimal quantities of capital (K) and labor (L) can be found by taking partial derivatives of the production function with respect to K and L, respectively, and setting them equal to the input prices (r and w).
(c) By differentiating the optimal capital quantity with respect to r, we can derive the firm's demand function for capital. The slope of the demand curve for capital indicates its price elasticity.
(d) The elasticity of demand for capital can be determined by taking the derivative of the demand function with respect to the price of capital and dividing it by the ratio of the capital quantity to the price of capital.
(e) By substituting w = r = a³/² into the production function, we can derive the long-run total cost, average cost, and marginal cost functions.
(f) Average costs decrease as output increases because marginal costs are initially lower than average costs, but as production expands, the marginal costs eventually increase, causing average costs to rise.
(g) The equation of the inverse supply curve for the firm is obtained by rearranging the production function and solving for price (P) in terms of quantity (q). The curve will have a positive slope.
(h) The equation of the market supply curve is determined by summing up the quantities supplied by all firms in the market at each price level, giving the relationship between the price (P) and the total quantity (Q) produced in the market.
(i) Given the price P = 27, the production of each firm (qi) can be calculated by substituting the price into the firm's production function, and the total production in the market (Q) is the sum of all individual firm productions.
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For each of the following production functions, plug in the value shown and determine whether or not they exhibit the 2 properties of short-run production functions that economists generally like to see. TL 0-20(%)(%)2 X1.6 Q 10x1 (14x2-2(x2)x2 Q-In(x)+In(x2) 2 IV. r110
Only the second production function (Q = 10X^1(14X^2 - 2X^2)) exhibits the desired properties of diminishing marginal returns and increasing marginal productivity.
To determine whether each production function exhibits the two properties that economists generally like to see in short-run production functions, we need to assess if they satisfy the concepts of diminishing marginal returns and increasing marginal productivity.
1. TL = 0.2(L^2) - 16(X^2)
This production function does not exhibit the desired properties. It does not meet the condition of diminishing marginal returns because the second term (-16(X^2)) implies that as X increases, the total product decreases. Additionally, it does not show increasing marginal productivity since the coefficient of L^2 is constant (-16), indicating a constant marginal product.
2. Q = 10X^1(14X^2 - 2X^2)
This production function exhibits the desired properties. It satisfies diminishing marginal returns because the second term (14X^2 - 2X^2) implies that as X increases, the total product initially increases (14X^2) but at a decreasing rate (-2X^2). Additionally, it shows increasing marginal productivity since the coefficient of X^1 is constant (10), indicating a positive marginal product.
3. Q = In(X) + In(X^2)
This production function does not exhibit the desired properties. It does not satisfy the condition of diminishing marginal returns since the natural logarithm function does not inherently imply diminishing returns. Additionally, it does not show increasing marginal productivity since the marginal product is not explicitly defined and may vary depending on the specific values of X.
In summary, only the second production function (Q = 10X^1(14X^2 - 2X^2)) exhibits the desired properties of diminishing marginal returns and increasing marginal productivity. The other two functions do not meet these criteria.
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Chasteen Hall currently has 58 days in its cash cycle and 137 days in its operating cycle. The firm purchases its inventory from one supplier. This suppiler has offered a 5 percent discount to the firm if it will pay for its purchases within 10 days instead of the normal 35 days. If the firm opts to take advantage of the discount offered, its new operating cycle will be days and its new cash cycle will be days:
If Chasteen Hall opts to take advantage of the 5 percent discount offered by its supplier, the new operating cycle will be 127 days and the new cash cycle will remain at 58 days.
If Chasteen Hall decides to take advantage of the 5 percent discount offered by its supplier, the firm's new operating cycle and cash cycle will be affected.
To calculate the new operating cycle, we need to subtract the discount period from the original operating cycle. The original operating cycle is 137 days, and the discount period is 10 days. Therefore, the new operating cycle will be 137 - 10 = 127 days.
Next, to calculate the new cash cycle, we need to adjust the discount period from the original cash cycle. The original cash cycle is 58 days, and the discount period is 10 days. However, since the firm pays for its purchases within the discount period, the cash cycle will not be affected. Therefore, the new cash cycle will remain at 58 days.
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Solely based on the 1982 merger guidelines of the Department of Justice, if firms 3 and 4 were to merge (with the production amount of the merged firm being 100), while the other three firms maintained their production amounts as indicated in the table above, then the Department of Justice’s response would be to permit the merger.
A. True
B. False
The statement that the Department of Justice would permit the merger of firms 3 and 4 based solely on the 1982 merger guidelines is False.
The 1982 merger guidelines of the Department of Justice focus on assessing mergers and acquisitions to determine if they will likely lead to anticompetitive effects in the market. These guidelines consider factors such as market concentration, barriers to entry, and potential harm to competition.
To evaluate the statement, we would need more information about the market structure and concentration. The table mentioned in the question is not provided, making it difficult to determine the specific impact of the merger. Additionally, the production amounts of the other three firms are not known, which makes it challenging to assess the overall market concentration and potential anticompetitive effects.
Therefore, without sufficient information about market conditions and the specific impact of the merger, it is not possible to conclude that the Department of Justice would permit the merger based solely on the 1982 merger guidelines. The decision would require a thorough analysis of the market dynamics and potential effects on competition.
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West Coast Architects (WCA) is a new Vancouver architectural firm which has been in operations for 5 years with roughly 50 employees. The four managing partners are all architects who are brilliant, experienced and generally good people. Unfortunately, the do not know anything about Organizational Behaviour. In the past, you’ve sometimes rolled your eyes when you see how they treat staff. You’ve worked here at WCA for a year now as a junior analyst, and they’ve decided to promote you as the first HR Manager for WCA as you’ve just completed your course in Organizational Behaviour, and they’ve been impressed with the many suggestions you have given them since taking this course. Congratulations! This is your first people manager role, and the first real people manager role that WCA has ever had. The staffs have high expectations from you, and many of your peers are hoping that you will make the workplace a better place to be. It feels like all eyes are on you as you settle into your new office (actually the first office you’ve ever had).
QUESTIONS 1. Cadence, your immediate boss informs you that they are having a substantial turnover rate of new employees and asks you to start offering 10% in offer letters. Explain to Cadence why you think that this solution will just end up costing the organization more money and not really solve anything
Offering a 10% increase in salaries in offer letters to address the substantial turnover rate of new employees is not a sustainable solution and may end up costing the organization more money without effectively solving the underlying issues.
It is important to communicate to Cadence the potential drawbacks of this approach, including short-term fixes, a negative impact on employee morale, and the risk of attracting individuals motivated solely by financial incentives rather than long-term commitment to the organization's values and goals.
While a salary increase may initially attract new employees, it is unlikely to address the root causes of the high turnover rate. Employees' decision to stay with or leave an organization is influenced by various factors such as job satisfaction, work-life balance, career development opportunities, and organizational culture. By solely relying on a monetary incentive, the organization fails to address these critical aspects.
Furthermore, offering higher salaries can create expectations for future raises or set a precedent for similar increases across the organization. This approach can lead to increased salary expenses without a guarantee of improved employee retention.
A more effective solution would involve conducting thorough exit interviews and analyzing the feedback to identify the underlying reasons for the high turnover rate. This information can help in implementing targeted initiatives such as improving work-life balance, enhancing career development programs, fostering a positive work environment, and addressing any systemic issues that may be contributing to turnover.
By focusing on holistic measures to enhance employee engagement, satisfaction, and retention, the organization can create a positive workplace culture that encourages long-term commitment and ultimately reduces turnover in a more sustainable manner.
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The demand for the services of labour a derived demand; the demand for the services of land a derived demand. is; is is not; is not is; is not is not; is
The demand for the services of labor is a derived demand; the demand for the services of land is also a derived demand. Both are "is" statements.
What is Derived Demand?Derived demand refers to a condition where the demand for a product or service is driven by the demand for other goods and services.
The demand for the services of labor is a derived demand. This is due to the fact that companies do not hire labor for the sake of employing individuals. Instead, they recruit employees to assist them in creating and distributing goods and services. The labor services they demand are derived from the demand for the goods and services they produce, as well as the availability of other productive inputs.The demand for the services of land is also a derived demand. The land is demanded in the production of goods and services.This is derived from the demand for the services produced from the land and other factors of production. For instance, if there is a rise in the demand for residential properties, the demand for land will go up.
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