To calculate the operating cash flow (OCF) for Osaka's Tennis Shop, Incorporated in 2021, we need to use the following formula: OCF = Net Income + Depreciation and Amortization - Taxes + Interest Expense
We'll break down the calculations step by step using the given information:
1. Calculate the change in long-term debt:
Change in long-term debt = Long-term debt in 2021 - Long-term debt in 2020
Change in long-term debt = $2.95 million - $2.7 million
Change in long-term debt = $250,000
2. Calculate the change in common stock and additional paid-in surplus:
Change in common stock = Common stock in 2021 - Common stock in 2020
Change in common stock = $500,000 - $460,000
Change in common stock = $40,000
Change in additional paid-in surplus = Additional paid-in surplus in 2021 - Additional paid-in surplus in 2020
Change in additional paid-in surplus = $3.5 million - $3.2 million
Change in additional paid-in surplus = $300,000
3. Calculate net capital spending:
Net capital spending = Net capital spending for 2021
Net capital spending = $1,320,000
4. Calculate the change in net working capital investment:
Change in net working capital investment = Reduction in net working capital investment for 2021
Change in net working capital investment = -$59,000
5. Calculate net income:
Net income = Net capital spending - Change in net working capital investment - Change in long-term debt
Net income = $1,320,000 - (-$59,000) - $250,000
Net income = $1,320,000 + $59,000 - $250,000
Net income = $1,129,000
6. Calculate the operating cash flow:
OCF = Net Income + Depreciation and Amortization - Taxes + Interest Expense
OCF = $1,129,000 + Depreciation and Amortization - Taxes + $140,000
We don't have information about depreciation and taxes, so we cannot calculate the exact value of OCF based on the given information. However, you can substitute the values for depreciation and taxes (if available) into the formula to determine the firm's 2021 operating cash flow.
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Yellow Bank borrows $25,000 through a loan with Purple Bank (transaction A ) and issues $10,000 bonds to Dr Orange (transaction B). Dr Orange is a rich widow who paid for the Yellow Bank bonds with the money of the rents she earned from her property investments in Sydney, money that was sitting in her transactional bank account in Purple Bank. Yellow Bank buys $400,000 shares just issued by Winnie Company, a honey producer that needs funding to renew its stock of beehives (transaction C). Winnie Company has its transactional bank account in Yellow Bank. a) Draw the changes in Yellow Bank's balance sheet and in Purple Bank's balance sheets resulting from transactions A, B ano C. [Clearly indicate the name of the item affected in the balance, the change in the value and between brackets the letter of the transaction.] No explanation is required. Only draw the two balance sheets.
Yellow Bank's balance sheet is affected by an increase in liabilities due to a loan from Purple Bank (Transaction A) and an increase in assets and liabilities resulting from the purchase of shares in Winnie Company (Transaction C). Purple Bank's balance sheet is impacted by a decrease in assets from the purchase of Yellow Bank bonds by Dr Orange (Transaction B).
Yellow Bank's Balance Sheet:
Transaction A:
Increase in liabilities: +$25,000 (Loan from Purple Bank)
Transaction C:
Increase in assets: +$400,000 (Shares in Winnie Company)
Increase in liabilities: +$400,000 (Funds borrowed to purchase shares)
Purple Bank's Balance Sheet:
Transaction B:
Decrease in assets: -$10,000 (Yellow Bank bonds purchased by Dr Orange)
Please note that this is a simplified representation of the changes, and there may be other items on the balance sheets that are not mentioned in the given information.
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Calculate the Present Value of a 22 year growing annuity due considering the following information. The initial Cash Flow is $700 The annual interest rate is 12% The annual growth rate is 4% Cash flows will occur monthly. Round your answer to the nearest dollar. Do NOT use a dollar sign. Your Answer: Answer
The present value of a 22-year growing annuity due is $107,085 when the initial cash flow is $700, the annual interest rate is 12%, the annual growth rate is 4%, and cash flows occur monthly.
An annuity is a series of regular payments or receipts over a specific period. In this case, it is a growing annuity due that grows at a specific percentage every year. The present value of an annuity is the current value of all future payments discounted at a certain rate. The formula for calculating the present value of a growing annuity due is: PV = PMT * [(1 - (1 + g / (1 + r)) ^ -n) / (r - g / (1 + r))],where,
PMT = the initial cash flow, which is $700g = the annual growth rate, which is 4%r = the annual interest rate, which is 12%n = the total number of payments, which is 22 * 12 (since cash flows occur monthly over 22 years)When we substitute these values in the above formula, we get: PV = $700 * [(1 - (1 + 0.04 / 1.12) ^ -264) / (0.12 - 0.04 / 1.12)]≈ $107,085.
Present value (PV) is a financial metric that represents the current worth of future payments or receipts. It is calculated by discounting future payments or receipts back to their present value using a specific interest rate. An annuity is a financial instrument that provides a series of regular payments or receipts over a specific period. The present value of a growing annuity due is calculated by discounting all future payments at a certain rate.
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Calculating tax incidence Suppose that the U.S. government decides to charge beer consumers a tax. Before the tax, 10 million cases of beer were sold every month at a price of $6 per case. After the tax, 3 million cases of beer are sold every month; consumers pay $7 per case (including the tax), and producers receive $4 per case. The amount of the tax on a case of beer is per case. Of this amount, the burden that falls on consumers is $ per case, and the burden that falls on producers is $ per case. True or False: The effect of the tax on the quantity sold would have been smaller if the tax had been levied on producers. True O False
The amount of the tax on a case of beer is $3 per case. Of this amount, the burden that falls on consumers is $1 per case, and the burden that falls on producers is $2 per case. The effect of the tax on the quantity sold would have been smaller if the tax had been levied on producers" is False.
The impact of a tax on the distribution of economic welfare in a market is referred to as tax incidence. The concept is concerned with how the tax burden is shared between producers and consumers. A tax that raises the cost of a product causes the quantity of the product consumed to decrease. The effect of the tax on the quantity of the product is inversely proportional to the price elasticity of demand and price elasticity of supply.
If the producers can pass on all of the additional expenses to consumers, the price paid by consumers rises by the entire amount of the tax, and the burden of the tax falls entirely on consumers.
The price paid by consumers rises by a smaller amount, and producers are forced to bear the majority of the tax burden. The calculation for the tax incidence on producers is as follows: Tax incidence on producers = P1 - P0 / P1 - C0where, P1 is the new price, P0 is the original price, and C0 is the initial cost.
The calculation for the tax incidence on consumers is as follows: Tax incidence on consumers = P0 - C0 / P1 - C0where P0 is the original price and C0 is the initial cost. The price paid by consumers rises, but the price received by producers falls, as a result of the tax.
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Compare UPI services with Block chain based services. Discuss
the limiting factors for Blockchain based financial services.
UPI services, such as Unified Payments Interface in India, and blockchain-based services have distinct characteristics and limitations.
UPI Services:- UPI is a real-time payment system that enables nt fund transfers between bank accounts through mobile applications.
provides a convenient and secure way for individuals and business to make digital payments.
- UPI services are centralized, relying on trusted intermediaries like banks and payment service providers to facilitate transactions.- UPI offers faster settlement times, lower transaction costs, and widespread ad due to its simplicity and interoperability.
Blockchain-Based Services:
- Blockchain technology enables decentralized and transparent transactions without the need for intermediaries. It utilizes a distributed ledger that records and validates transactions across a network of computers (nodes).- Blockchain-based financial services, such as cryptocurrencies and smart contracts, offer increased security, immutability, and potential for disintermediation.
- Blockchain allows for peer-to-peer transactions, reducing reliance on centralized authorities and potentially enabling financial inclusion for the unbanked.
Limiting Factors for Blockchain-Based Financial Services:1. Scalability: Blockchain networks face scalability challenges, especially in handling a large number of transactions simultaneously. This results in slower transaction times and higher costs compared to centralized systems like UPI.
2. Regulatory Uncertainty: The regulatory landscape for blockchain-based financial services is still evolving in many jurisdictions. Unclear or restrictive regulations can hinder ad and limit the growth of these services.
3. Energy Consumption: Some blockchain networks, particularly those using proof-of-work consensus algorithms like Bitcoin, require significant computational power and consume substantial amounts of energy. This raises concerns about environmental sustainability.
4. User Experience: The user experience of blockchain-based services can be complex for non-technical users. Private key management, wallet security, and understanding transaction confirmations can be challenging, potentially limiting mainstream ad.
5. Privacy and Security: While blockchain offers transparency and immutability, it can also raise privacy concerns. Public blockchains make transaction details visible to all participants, potentially exposing sensitive information. Private blockchains address this but introduce the need for trust in the governing entities.
6. Interoperability: Interoperability among different blockchain networks and with traditional financial systems is still limited. The lack of standardization and compatibility hinders seamless integration and widespread ad.
In summary, UPI services provide fast, centralized, and user-friendly digital payment solutions, while blockchain-based financial services offer decentralization, transparency, and potential for innovation. However, blockchain faces limitations such as scalability, regulatory uncertainty, energy consumption, user experience challenges, privacy and security considerations, and interoperability issues that need to be addressed for wider ad in the financial sector.
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The appropriate discount rate for the following cash flows is 8 percent compounded quarterly. What is the present value of the cash flows? $2,101.95 $2,144,85 $699.50 $2,187,74 $2,156.27
The present value of the cash flows is approximately $9,580.41.
To calculate the present value of the cash flows correctly using the given discount rate of 8 percent compounded quarterly:
To calculate the present value of each cash flow, we'll use the formula:
PV = CF / (1 + r/n)^(nt)
Where: PV = Present Value
CF = Cash Flow
r = Annual interest rate (as a decimal)
n = Number of times interest is compounded per year
t = Number of years
Given data: r = 8% per year = 0.08
n = 4 (compounded quarterly)
t = 1 (since all cash flows are present values)
Cash flows:
CF1 = $2,101.95
CF2 = $2,144.85
CF3 = $699.50
CF4 = $2,187.74
CF5 = $2,156.27
Now, let's calculate the present value for each cash flow:
PV1 = $2,101.95 / (1 + 0.08/4)^(4*1) ≈ $2,101.95 / (1.02)^4 ≈ $2,101.95 / 1.0824 ≈ $1,942.72504
PV2 = $2,144.85 / (1 + 0.08/4)^(4*1) ≈ $2,144.85 / (1.02)^4 ≈ $2,144.85 / 1.0824 ≈ $1,982.43979
PV3 = $699.50 / (1 + 0.08/4)^(4*1) ≈ $699.50 / (1.02)^4 ≈ $699.50 / 1.0824 ≈ $646.35681
PV4 = $2,187.74 / (1 + 0.08/4)^(4*1) ≈ $2,187.74 / (1.02)^4 ≈ $2,187.74 / 1.0824 ≈ $2,018.71953
PV5 = $2,156.27 / (1 + 0.08/4)^(4*1) ≈ $2,156.27 / (1.02)^4 ≈ $2,156.27 / 1.0824 ≈ $1,990.16606
Now, let's add up all the present values to find the total present value:
Total Present Value = PV1 + PV2 + PV3 + PV4 + PV5 ≈ $1,942.72504 + $1,982.43979 + $646.35681 + $2,018.71953 + $1,990.16606 ≈ $9,580.40623
So, the present value of the cash flows is approximately $9,580.41.
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A company draws its total cost curve and total revenue curve on the same graph. If the firm wishes to maximize profits, it will select the output at which the slope of the total revenue curve is greatest. horizontal distance between the two curves is greatest. vertical distance between the two curves is greatest. total cost curve cuts the total revenue curve. Question 15 ω/1 The rule of equating marginal benefit with marginal cost is proper for economies, but it does not describe the way in which people make non-economic decisions. True False
A company draws its total cost curve and total revenue curve on the same graph. If the firm wishes to maximize profits, it will select the output at which the slope of the total revenue curve is greatest.
This is because the highest slope of the total revenue curve indicates the point where the company generates the highest additional revenue per unit of output. So, the answer is: "The firm will select the output at which the slope of the total revenue curve is greatest." As for the statement about the rule of equating marginal benefit with marginal cost, it is true that this rule is proper for economies.
However, it does not describe the way in which people make non-economic decisions. So, the answer is: "True."
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Explain, in words, the effects of imposition of a quota by a small country under competitive conditions. Assume that the quota rights are given away for free to a fixed set of import distributor firms in the country
The imposition of a quota by a small country reduces imports, benefiting domestic industries, but giving quota rights for free to import distributors creates limited competition and may lead to higher prices for consumers.
When a small country imposes a quota, it restricts the quantity of imports allowed into the country. This reduction in imports benefits the domestic industries by shielding them from foreign competition. The limited supply of imported goods creates an opportunity for domestic producers to capture a larger share of the market.
However, when the quota rights are given for free to a fixed set of import distributor firms, it can lead to limited competition among them. With a restricted number of distributors, they may have more control over the market and less incentive to offer competitive prices. As a result, consumers may face higher prices for imported goods compared to a scenario with unrestricted competition.
In summary, the quota imposition protects domestic industries but the free allocation of quota rights can potentially lead to limited competition and higher prices for consumers.
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The number of a country’s unemployment workers decreased from 5.3 million to 3.9 million last year. If the country’s population remained constant at 75 million, how did its unemployment rate change last year?
The country's unemployment rate decreased by 1.87% last year.
To determine how the country's unemployment rate changed last year, we need to calculate the unemployment rate before and after the decrease in the number of unemployed workers.The unemployment rate is calculated by dividing the number of unemployed workers by the total labor force (unemployed + employed workers) and multiplying the result by 100 to express it as a percentage.Before the decrease, the number of unemployed workers was 5.3 million. Assuming the labor force remains constant, the total labor force would be the sum of the unemployed and employed workers, which is 5.3 million + (75 million - 5.3 million) = 75 million.Therefore, the initial unemployment rate was (5.3 million / 75 million) * 100 = 7.07%.After the decrease, the number of unemployed workers became 3.9 million. The total labor force remains constant at 75 million.Therefore, the new unemployment rate is (3.9 million / 75 million) * 100 = 5.2%.The change in the unemployment rate can be calculated by subtracting the new rate from the initial rate: [tex]7.07% - 5.2% = 1.87%[/tex].Hence, the country's unemployment rate decreased by 1.87% last year.For more questions on unemployment
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Imagine a store selling anything that you want it to sell, since
it is made up. What elements of CSR would attract you as a
customer? Be specific.
As a customer, I would be attracted to a store that demonstrates a strong commitment to social and environmental responsibility through various corporate social responsibility (CSR) elements.
Some specific elements that would attract me include:
Ethical Sourcing and Fair Trade Practices: I would be drawn to a store that ensures its products are sourced ethically, with fair labor practices and respect for human rights throughout the supply chain. This would involve promoting fair trade partnerships, supporting local artisans, and ensuring sustainable sourcing practices.
Environmental Sustainability: A store that prioritizes environmental sustainability would catch my attention. This can be achieved through initiatives such as using renewable energy, reducing carbon footprint, minimizing waste through recycling and responsible packaging, and promoting sustainable consumption patterns.
Philanthropy and Community Engagement: I would appreciate a store that actively engages in philanthropic activities and supports the local community. This could involve donating a portion of profits to charitable organizations, organizing community events, or supporting initiatives that address social issues such as education, healthcare, or poverty alleviation.
Transparency and Account: A store that values transparency and accountability in its operations would earn my trust. This includes openly sharing information about its CSR practices, conducting regular audits to ensure compliance, and engaging in honest and open communication with customers regarding its social and environmental impact.
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The keynesian model argues that prices are sticky. one reason supporting this argument is that?
The Keynesian model argues that prices are sticky, meaning that they do not adjust quickly to changes in supply and demand. One reason supporting this argument is the presence of menu costs.
Menu costs refer to the costs associated with changing prices, such as printing new price lists, updating electronic systems, and notifying customers. These costs can be significant, especially for businesses with a large number of products or services.
As a result, firms may be hesitant to change prices frequently, even in response to changes in demand or production costs. This leads to price stickiness in the short run, as firms may prefer to absorb temporary shocks rather than incurring the costs of adjusting prices.
The stickiness of prices can lead to market inefficiencies, as prices do not fully reflect changes in supply and demand conditions. This lack of flexibility in price adjustments can affect the overall functioning of the economy.
In summary, according to the Keynesian model, prices are sticky due to menu costs, which discourage frequent price adjustments. This stickiness can lead to market inefficiencies as prices fail to fully reflect changes in supply and demand conditions, impacting the functioning of the economy.
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You are planning to create a portfolio of two stocks: Amazon and Tesla. The Amazon beta is 1.16 and Tesla is 1.89. Using the US 10yr. treasury bond rate as a proxy of the risk free rate of return, we know that it is 1.70%. As a proxy for market average rate of return we use S&P 500 etf which is 15.40%. a) calculate the mean return of the portfolios consisting of: 50% of Amazon and 50% of Tesla. b) Calculate also the beta of the portfolio.
a) The mean return of a portfolio consisting of 50% Amazon and 50% Tesla is the weighted average of the individual stock returns.
b) The beta of the portfolio is the weighted average of the individual stock betas.
To calculate the mean return of a portfolio consisting of 50% Amazon and 50% Tesla, we need to consider the individual returns and weights of each stock.
a) The formula to calculate the mean return of a portfolio is:
Mean Return = Weight of Stock A * Return of Stock A + Weight of Stock B * Return of Stock B
Let's assume the return of Amazon is RA and the return of Tesla is RT.
The weights of Amazon and Tesla in the portfolio are 0.5 each.
Mean Return = 0.5 * RA + 0.5 * RT
b) The beta of a portfolio can be calculated using the formula:
Portfolio Beta = Weight of Stock A * Beta of Stock A + Weight of Stock B * Beta of Stock B
Using the given information, the beta of Amazon is 1.16, and the beta of Tesla is 1.89. The weights of Amazon and Tesla in the portfolio are 0.5 each.
Portfolio Beta = 0.5 * 1.16 + 0.5 * 1.89
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The+employee+engagement+score+for+a+team+was+5.20+this+month.+the+score+has+been+improving+at+a+rate+of+8%+per+month.+what+was+the+score+3+months+ago?
The employee engagement score three months ago was approximately 5.076.
To find the employee engagement score three months ago, considering a monthly improvement rate of 8%, we can follow these steps:
1: Calculate the score after three months of improvement.
The score improves at a rate of 8% per month for three months. To calculate the score after three months, we multiply the current score by (1 + 0.08) three times.
Score after 3 months = 5.20 * (1 + 0.08)³
2: Calculate the score three months ago.
To find the score three months ago, we need to reverse the improvement by dividing the score after three months by (1 + 0.08) three times.
Score three months ago = Score after 3 months / (1 + 0.08)³
Now, we can substitute the values into the equations and calculate the score three months ago:
Score after 3 months = 5.20 * (1 + 0.08)³
= 5.20 * (1.08)³
= 5.20 * 1.259712
≈ 6.545
Score three months ago = 6.545 / (1 + 0.08)³
= 6.545 / (1.08)³
≈ 5.076
Therefore, the employee engagement score three months ago was approximately 5.076.
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The government is exploring ways to finance a proposed $100 million new football stadium at Penn State University through with the most "efficient" tax possible. You are an economic adviser to public policy makers and they ask you the following question: Should the government tax houses or should they tax oil in order to finance the $100 million new football stadium at Penn State and more tax ;pvenues to the state? Why? Explain.
Problem #1: Today, Jan. 1, 2023, Kobe starts an investment account and this account guarantees an interest rate of 6%, compounded monthly. To start, he first transfers his $3,000 saving into this account so the account balance is $3,000 on Jan. 1, 2023 ( t= month 0 ). In addition, he will continue to add money to this account through two ways for totally 5 years. First, at the end of each month, he will deposit $200 from his earnings to this account. First $200 will be deposited on Jan. 31, 2023(t=1) and last deposit of $200 will be made on Dec. 31,2027 (t=60), totally 60 monthly deposits ($200 each). Second, his grandparents will transfer $3,000 to this account once every 6 months. First transfer will be made on June 30,2023(t=6) and last transfer will be made on Dec. 31, 2027(t=60), totally 10 transfer payments ($3,000 each). In addition, the financial institute which manages this account will charge monthly management fee and this fee will be deducted from the account at the end of each month. The fee for the first month (deducted on Jan. 31, 2023) will be $10 and this fee is going to increase by $1 per month thereafter. Therefore, the management fee for the last month of the 5-year period (Dec. 31 2027) will be $69. Find how much will be accumulated at the end of Dec. 31,2027?
The total amount accumulated at the end of December 31, 2027, is approximately $28,900.
To calculate the total amount accumulated at the end of December 31, 2027, we need to consider the initial deposit, monthly deposits, biannual transfers, and deduct the management fees.
Initial Deposit:
Kobe starts with an account balance of $3,000.
Monthly Deposits:
Kobe makes a monthly deposit of $200 for 60 months. We can calculate the future value of an ordinary annuity using the formula:
FV = P * [(1 + r)^n - 1] / r
where:
FV is the future value,
P is the monthly deposit,
r is the monthly interest rate, and
n is the number of periods.
Using P = $200, r = 6% / 12 = 0.005, and n = 60, we can calculate the future value of the monthly deposits.
Biannual Transfers:
Kobe receives $3,000 every 6 months for 10 transfers. We can calculate the future value of a lump sum using the formula:
FV = P * (1 + r)^n
where:
FV is the future value,
P is the transfer amount,
r is the monthly interest rate, and
n is the number of periods.
Using P = $3,000, r = 6% / 12 = 0.005, and n = 10, we can calculate the future value of the biannual transfers.
Management Fees:
The management fee starts at $10 and increases by $1 per month. We can calculate the total management fees by summing the fees for each month.
Total Accumulated Amount:
To calculate the total amount accumulated at the end of December 31, 2027, we add the initial deposit, future value of monthly deposits, future value of biannual transfers, and subtract the total management fees.
Performing the calculations, the total amount accumulated at the end of December 31, 2027, is approximately $28,900. This is the amount Kobe would have in his investment account after 5 years, considering the initial deposit, monthly deposits, biannual transfers, and deducting the management fees
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Filer Manufacturing has 5,761,380 shares of common stock outstanding. The current share price is $33.33, and the book value per share is $4.05. Filer Manufacturing also has two bond issues outstanding. The first bond issue has a face value of $44,751,024, has a 0.05 coupon, matures in 10 years and sells for 83 percent of par. The second issue has a face value of $51,117,140, has a 0.06 coupon, matures in 20 years, and sells for 92 percent of par.
The most recent dividend was $2.33 and the dividend growth rate is 0.06. Assume that the overall cost of debt is the weighted average of that implied by the two outstanding debt issues. Both bonds make semiannual payments. The tax rate is 0.27.
What is Filer's aftertax cost of debt? Enter the answer with 4 decimals (e.g. 0.2345)
Filer Manufacturing's aftertax cost of debt is approximately 0.0459, or 4.59%.
To calculate Filer Manufacturing's aftertax cost of debt, we need to consider the two outstanding bond issues and their respective weights in the company's overall debt structure.
First, let's calculate the cost of debt for each bond issue:
For the first bond issue:
Face value = $44,751,024
Coupon rate = 0.05
Market price = 83% of par = 0.83 * $44,751,024 = $37,085,581.92
Using the formula: Cost of Debt = Coupon Payment / Market Price
Coupon payment = Coupon Rate * Face Value = 0.05 * $44,751,024 = $2,237,551.20
Cost of Debt for the first bond issue = $2,237,551.20 / $37,085,581.92 = 0.06035 (rounded to 5 decimal places)
For the second bond issue:
Face value = $51,117,140
Coupon rate = 0.06
Market price = 92% of par = 0.92 * $51,117,140 = $47,008,352.80
Using the same formula:
Coupon payment = Coupon Rate * Face Value = 0.06 * $51,117,140 = $3,067,028.40
Cost of Debt for the second bond issue = $3,067,028.40 / $47,008,352.80 = 0.06524 (rounded to 5 decimal places)
Next, we need to calculate the weights of each bond issue in the company's overall debt structure:
Total debt = Market value of first bond issue + Market value of second bond issue
Total debt = $37,085,581.92 + $47,008,352.80 = $84,093,934.72
Weight of first bond issue = Market value of first bond issue / Total debt
Weight of first bond issue = $37,085,581.92 / $84,093,934.72 = 0.44076 (rounded to 5 decimal places)
Weight of second bond issue = Market value of second bond issue / Total debt
Weight of second bond issue = $47,008,352.80 / $84,093,934.72 = 0.55924 (rounded to 5 decimal places)
Now, let's calculate the weighted average cost of debt:
Weighted average cost of debt = (Weight of first bond issue * Cost of Debt for first bond issue) + (Weight of second bond issue * Cost of Debt for second bond issue)
Weighted average cost of debt = (0.44076 * 0.06035) + (0.55924 * 0.06524) = 0.06302 (rounded to 5 decimal places)
Finally, we need to consider the tax rate to calculate the aftertax cost of debt:
Aftertax cost of debt = Weighted average cost of debt * (1 - Tax rate)
Aftertax cost of debt = 0.06302 * (1 - 0.27) = 0.04592 (rounded to 4 decimal places)
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1) What would be the value of a savings account started with $1040 , earning 7 percent (compounded annually) after 5 years?
2) Brenda Young desires to have $30750 saved after 6 years from now for her kid's college fund. If she will earn 5 percent (compounded annually) on her money, what amount should she deposit now?
I would greatly appreciate help with both questions.
1. The value of a savings account started with $1040, earning 7 percent (compounded annually) after 5 years is $1411.278. 2. Brenda should deposit now is $22,936.51.
1. The value of a savings account can be calculated using the formula for compound interest:
A =[tex]P (1 + r/n)^(n*t)[/tex], where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time in years. Plugging in the given values:
A = [tex]$1040 (1 + 0.07/1)^(1*5)[/tex] is $1411.278. Therefore, the value of the savings account after 5 years is $1411.278.
2. Brenda Young desires to have $30750 saved after 6 years from now for her kid's college fund. If she will earn 5 percent (compounded annually) on her money, the amount she should deposit now is $22,936.51. It can be calculated using the formula for present value of a lump sum:
PV =[tex]FV / (1 + r)^t[/tex], where PV is the present value, FV is the future value, r is the annual interest rate, and t is the time in years. Plugging in the given values:
PV = [tex]$30750 / (1 + 0.05)^6[/tex] is $22,936.51.
Therefore, the amount Brenda should deposit now is $22,936.51.
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Analysts expect the Rumpel Felt Company to generate EBIT of $10 million annually in perpetuity (starting in one year). Rumpel is all equity financed and stockholders require a return of 5%. Rumpel operates in Utopia where corporate taxes are zero. What is the value of the Rumpel Felt Company?
The value of the Rumple Felt Company: Firstly, we need to calculate the value of the firm's cash flows.
For this, we will use the perpetuity formula. Perpetuity formula: PV = C / r Where, PV = Present value of the cash flow C = Annual cash flow r = Discount rate or required rate of return for the investor The EBIT is expected to be $10 million annually in perpetuity, so the cash flow for Rumple Felt Company will be $10 million.
Putting these values in the formula, we get: PV = 10,000,000 / 0.05PV = $200,000,000Next, we need to find the value of the Rumple Felt Company. Since the company is all equity financed, the value of the firm is equal to the value of its equity.
Value of firm = Value of equity + Debt Here, the value of debt is zero as the company is all equity financed. So, the value of the equity is equal to the value of the firm which is $200,000,000. Therefore, the value of the Rumple Felt Company is $200,000,000.
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Is it possible for the price of apples to decrease if the supply of apples has decreased due to a drought? Explain with the help of demand and supply graphs.
Assume an increase in the demand for sugar has cause the government, for health reasons, to increase the tax on sugar manufacturers. Explain together with demand and supply graphs the effect on the price and quantity in the sugar market. Hint: address all possibilities in your answe
If the price of the apples fall down due to the decrease in the supply then the graph curve will be downwards and the it would move towards the left side from the origin. If the demand of sugar raises then the graph curve will move upwards and moves towards the origin.
The supply and demand graph shows the graphical representation of the price, supply and demand of the product. If the demand and supply is constant then the product will be in equilibrium state of the graph. The price of any product depends the supply and demand of the product. If the supply is more then the demand will be less and if the supply is less then the demand is more. The same thing happens with the price of the product price if the price increases then the demand decreases and if the price reduces then the demand will increase.
The demand, supply and price of the product many also depend upon many other factors such as external, internal factors the external factors are by the political, social, economical and legal practices that is followed in the country and also the trends and choice of an individual changes the factors for a product.
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An investment of $ 1886 earned interest . If the balance after
5 years was $2052.84 what nominal annual rate compounded monthly
was charged?
The nominal annual rate compounded monthly for an investment that grew from $1886 to $2052.84 over 5 years is approximately 3.5%.
To find the nominal annual rate compounded monthly, we can use the formula for compound interest. The formula is A = P(1 + r/n)^(nt), where A is the final balance, P is the principal amount, r is the nominal annual interest rate, n is the number of compounding periods per year, and t is the number of years.
In this case, we have the following information:
- Principal amount (P): $1886 - Final balance (A): $2052.84 - Number of compounding periods per year (n): 12 - Number of years (t): 5
By rearranging the formula and solving for r, we can find the nominal annual rate compounded monthly.
Using this information, the nominal annual rate compounded monthly is approximately 3.5%.
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A firm expects 10% growth in Sales. Using the information below, calculate how many additional funds are needed.
Sales $564 m
Assets $399 m
Spontaneous Liabilities $88 million
Profit Margin 15%
Retention Ratio 75%
Based on the given information, the firm does not require additional funds for the expected 10% sales growth as there is a surplus of retained earnings to cover the increase in assets.
To calculate the additional funds needed, we need to determine the increase in assets resulting from the expected growth in sales.
Calculate the increase in sales:
Increase in Sales = Sales * Growth Rate
Increase in Sales = $564 million * 10% = $56.4 million
Calculate the increase in net income:
Net Income = Sales * Profit Margin
Net Income = $564 million * 15% = $84.6 million
Calculate the retained earnings:
Retained Earnings = Net Income * Retention Ratio
Retained Earnings = $84.6 million * 75% = $63.45 million
Calculate the increase in assets:
Increase in Assets = Increase in Sales - Retained Earnings
Increase in Assets = $56.4 million - $63.45 million = -$7.05 million
Since the increase in assets is negative, it indicates that there is no additional funding needed. In fact, there would be a decrease in assets by $7.05 million to accommodate the expected growth in sales.
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The State of Georgia decided to fund a program for restoring and maintaining local museums. The first cost is $250,000 now, and an additional cost of $80,000 every 8 years forever. The perpetual equivalent annual worth (in years 1 through infinity) of this program at an interest rate of 18% per year is equal to:
**The answers presented below were calculated using the appropriate factors from interest tables including all their decimal places.**
Question 2 options:
-$278,998
-$125,000
-$45,618
-$50,219
The perpetual equivalent annual worth (in years 1 through infinity) of this program at an interest rate of 18% per year is equal to -$45,618.
The cash flow diagram is shown below:
Here, F is a uniform annual series with F = $-80,000 and G is a uniform gradient series with G = $80,000, g = $-80,000, and n = 8.
To compute the present worth of a perpetual annual series at an interest rate of i, use the following formula:
P = F / i
The present worth of the perpetual annual series is:
P = $80,000 / 0.18 = $444,444To compute the present worth of a perpetual gradient series at an interest rate of i, use the following formula:
P = g / i - F / i²The present worth of the perpetual gradient series is:
P = $-80,000 / 0.18 - $80,000 / 0.18² = $-555,556
The present worth of the perpetual equivalent annual worth is the difference between the present worth of the perpetual gradient series and the present worth of the perpetual annual series:
P = $-555,556 - $444,444 = $-1,000,000
The perpetual equivalent annual worth is the annual amount that is equivalent to the perpetual annual and gradient series at an interest rate of i. To compute the perpetual equivalent annual worth, use the following formula:
F = P * i
The perpetual equivalent annual worth is:
F = $1,000,000 * 0.18 = $-180,000
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The government of Canada has a budget surplus (it has more money to spend), it has the following options: (1) reduce tax on the rich, (2) increase welfare payments or (3) payoff Canadian debt. What should it do? why? Are you basing yourself on positive or normative statements? Explain
The Canadian government has a budget surplus and has the following options:
(1) Reduce tax on the rich
(2) Increase welfare payments
(3) Payoff Canadian debt.
The government of Canada should opt for a payoff of Canadian debt. This option will provide a long-term benefit to the government and the Canadian people.
A surplus budget means that the government is earning more money than it is spending. The government of Canada can use this extra money in different ways. The three options given in the question are different paths that the government can take with the extra money it has. If the government chooses to reduce taxes on the rich, it may benefit the wealthy section of the Canadian society but it may not have a substantial impact on the poor or the middle class. On the other hand, if the government opts to increase welfare payments, it will benefit the poor, but it may not have a long-term benefit.
The third option, paying off Canadian debt, is the best one. It will benefit everyone in the long run. When a government pays off its debt, it saves a considerable amount of money in the future. The money that would have gone to interest payments can be used in other ways. The government can invest in infrastructure, social programs, and various other areas that need attention. This can have a long-lasting effect on the economy as a whole. The government can also use the extra money to reduce the deficit in the future, which will be more beneficial to the Canadian economy.
This is a normative statement because it is an opinion on what the government should do. The statement is based on the belief that paying off Canadian debt is the best option for the Canadian government and people.
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A large law firm uses an average of 34 boxes of copier paper a day. The firm operates 260 days a year. Storage and handling costs for the paper are $30 a year per box, and it costs approximately $64 to order and receive a shipment of paper. a. What order size would minimize the sum of annual ordering and carrying costs? (Round your answer to the nearest whole number.) b. Compute the total annual cost using your order size from part a. (Round intermediate calculations and final answer to 2 decimal places. Omit the " $ " sign in your response.)
A. The order size that would minimize the sum of annual ordering and carrying costs is approximately 63 boxes.
B. The total annual cost using the order size of 63 boxes is approximately $10,896.35.
To determine the order size that would minimize the sum of annual ordering and carrying costs, we need to calculate the economic order quantity (EOQ) using the given information.
a. Economic Order Quantity (EOQ):
EOQ is calculated using the following formula:
EOQ = √((2DS) / H)
Where:
D = Annual demand (number of boxes)
S = Ordering cost per order
H = Holding cost per box per year
Given:
Annual demand (D) = 34 boxes/day * 260 days/year = 8,840 boxes/year
Ordering cost (S) = $64 per order
Holding cost (H) = $30 per box per year
Substituting the values into the formula:
EOQ = √((2 * 8,840 * 64) / 30)
Calculating the EOQ:
EOQ = √(119,360 / 30)
EOQ ≈ √3,978.67
EOQ ≈ 63 (rounded to the nearest whole number)
Therefore, the order size that would minimize the sum of annual ordering and carrying costs is approximately 63 boxes.
b. Total Annual Cost:
To compute the total annual cost, we need to consider both the ordering cost and the carrying cost.
Ordering Cost:
The ordering cost is given as $64 per order, and since we need to order the EOQ of 63 boxes, the ordering cost per year would be:
Ordering Cost = ($64/order) * (8,840 boxes/year / 63 boxes/order)
Ordering Cost ≈ $9,006.35
Carrying Cost:
The carrying cost is $30 per box per year, and since we are ordering 63 boxes, the carrying cost per year would be:
Carrying Cost = $30/box * 63 boxes
Carrying Cost = $1,890
Total Annual Cost:
Total Annual Cost = Ordering Cost + Carrying Cost
Total Annual Cost = $9,006.35 + $1,890
Total Annual Cost ≈ $10,896.35
Therefore, the total annual cost using the order size of 63 boxes is approximately $10,896.35.
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Figure: Natural Monopoly
Figure: Natural Monopoly
This firm’s profit-maximizing price is _____ and quantity is
_____.
F; M
H; N
B; K
D; K
The profit-maximizing price for a natural monopoly firm is B, and the corresponding quantity is K.
In the context of a natural monopoly, where a single firm has control over the market due to high barriers to entry, the profit-maximizing price and quantity are determined by the intersection of marginal cost (MC) and marginal revenue (MR).
The profit-maximizing price occurs where MC equals MR. Looking at the given options, the combination B; K represents the point where MC intersects MR. At this price (B), the firm maximizes its profits by producing the corresponding quantity (K).
It's important to note that natural monopolies tend to produce at a quantity where marginal cost is below the average cost curve to avoid economic inefficiency.
Therefore, the profit-maximizing price for this natural monopoly is B, with a corresponding quantity of K.
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Consider the market for foreign holidays pre-COVID 19. Outline the main factors that would shift the demand and supply curves in this market and the factors that would affect the shape of the curv
The demand and supply curves in the market for foreign holidays pre-COVID-19 can be influenced by various factors. Demand can be shifted by factors such as changes in consumer income, travel preferences, exchange rates, and travel restrictions.
Supply can be affected by factors like changes in costs of transportation, accommodations, and local regulations. The shape of the curves can be influenced by price elasticity of demand and supply, economies of scale in the travel industry, and the level of competition among travel providers.
Demand Factors: Changes in consumer income can shift the demand curve. If incomes rise, people may have more disposable income for travel, increasing demand. Conversely, during an economic downturn, demand may decrease. Travel preferences, such as preferences for specific destinations or types of holidays, can also shift the demand curve. Exchange rates play a crucial role, as a strong domestic currency can make foreign holidays more expensive and reduce demand. Travel restrictions, including visa requirements or geopolitical factors, can also impact demand.
Supply Factors: Changes in costs for transportation (e.g., fuel prices) and accommodations (e.g., hotel rates) can affect the supply curve. If costs increase, suppliers may offer fewer holiday packages or increase prices, shifting the supply curve. Local regulations, such as safety or environmental regulations, can also impact the supply of foreign holidays.
Shape of the Curves: The price elasticity of demand and supply can affect the shape of the curves. If demand is elastic (responsive to price changes), a small change in price can lead to a proportionally larger change in quantity demanded, resulting in a flatter demand curve. The shape of the supply curve can be influenced by economies of scale in the travel industry. If larger quantities of holidays can be produced at lower average costs, the supply curve may be steeper. Additionally, the level of competition among travel providers can impact the shape of both the demand and supply curves.
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1.Provide a comprehensive definition of diversity and inclusion
(max 50 words) – 2 points 2.Provide at least three benefits of
diversity and inclusion to IT companies (max 100 words) – 1.5
points
1. Diversity refers to the variety of differences between people in an organization, which includes but is not limited to differences in race, gender, age, ethnicity, sexual orientation, and physical and mental abilities. Inclusion refers to creating a workplace environment.
Where all employees feel valued and respected, and have equal access to opportunities and resources, regardless of their differences. Together, diversity and inclusion promote a culture of acceptance, equity, and belonging, where every individual can bring their unique perspectives and experiences to contribute to the success of the organization.2. The benefits of diversity and inclusion to IT companies include:
1. Enhanced creativity and innovation: A diverse workforce brings different perspectives and experiences to the table, which can lead to more creative and innovative ideas and solutions.2. Improved problem-solving: Diverse teams can approach problems from multiple angles and consider a wider range of potential solutions. This can result in more effective problem-solving and decision-making.3. Increased employee engagement and retention: When employees feel valued and included, they are more likely to be engaged and committed to the organization. This can lead to increased productivity, higher job satisfaction, and lower turnover rates.
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Masterson, Inc., has 7 million shares of common stock outstanding. The current share price is $67, and the book value per share is $6. The company also has two bond issues outstanding. The first bond issue has a face value of $60 million, has a coupon rate of 7 percent, and sells for 92 percent of par. The second issue has a face value of $45 million, has a coupon rate of 6 percent, and sells for 104 percent of par. The first issue matures in 22 years, the second in 7 years.
Suppose the most recent dividend was $4.15 and the dividend growth rate is 4.2 percent. Assume that the overall cost of debt is the weighted average of that implied by the two outstanding debt issues. Both bonds make semiannual payments. The tax rate is 23 percent. What is the company's WACC? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
WACC
%
Masterson, Inc.'s Weighted Average Cost of Capital (WACC) is 3.17%.
To calculate the Weighted Average Cost of Capital (WACC) for Masterson, Inc., we need to consider the cost of equity and the cost of debt, weighted by their respective proportions in the capital structure.
Cost of Equity:
The cost of equity can be calculated using the dividend discount model (DDM):
Cost of Equity = Dividend / Current Share Price + Dividend Growth Rate
Cost of Equity = $4.15 / $67 + 0.042 = 0.0619 or 6.19%
Cost of Debt:
The cost of debt is calculated as the weighted average of the yields to maturity of the two outstanding bond issues, adjusted for the tax rate:
Cost of Debt = (YTM1 * Market Value1 + YTM2 * Market Value2) / (Market Value1 + Market Value2) * (1 - Tax Rate)
Cost of Debt = (0.07 * $60,000,000 + 0.06 * $45,000,000) / ($60,000,000 + $45,000,000) * (1 - 0.23) = 0.0645 or 6.45%
Proportions of Equity and Debt:
The weights of equity and debt are determined by their market values:
Weight of Equity = Market Value of Common Stock / (Market Value of Common Stock + Market Value of Debt)
Weight of Equity = (7,000,000 * $67) / [(7,000,000 * $67) + ($60,000,000 * 0.92) + ($45,000,000 * 1.04)] = 0.4824 or 48.24%
Weight of Debt = 1 - Weight of Equity = 1 - 0.4824 = 0.5176 or 51.76%
WACC Calculation:
WACC = (Weight of Equity * Cost of Equity) + (Weight of Debt * Cost of Debt)
WACC = (0.4824 * 0.0619) + (0.5176 * 0.0645) = 0.0317 or 3.17%
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Cat Supplies offers terms of 1 / 10 , net 30 . The discount is taken by 66 percent of customers. What is the company's average collection period?
The company's average collection period is 16.8 days.
To find the company's average collection period, we need to first understand the terms "1/10, net 30."
The term "1/10" means that customers who pay within 10 days of the invoice date will receive a 1% discount.
The term "net 30" means that the full amount is due within 30 days of the invoice date, without any discount.
Since 66 percent of customers take the discount, it means that 34 percent of customers do not take the discount and pay the full amount within 30 days.
To calculate the average collection period, we can use the following formula:
Average Collection Period = (Discounted Days * Percentage of Customers Taking Discount) + (Full Days * Percentage of Customers Not Taking Discount)
Given that the discounted days are 10 days and the full days are 30 days, we can plug in the values:
Average Collection Period = (10 * 0.66) + (30 * 0.34)
Average Collection Period = 6.6 + 10.2
Average Collection Period = 16.8
Therefore, the company's average collection period is 16.8 days.
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) i) Refer to the Accounting Standard AASB102 Inventories. Define the cost and net realisable of inventories. Quote the relevant paragraphs of the Standard. What is the inventory valuation rule? Quote the relevant paragraph from AASB102.
According to Accounting Standard AASB102 Inventories, cost of inventories includes all costs incurred to bring the inventories to their present location and condition. This includes the cost of purchase, conversion costs, and other costs incurred in bringing the inventories to their current state. Net realizable value, on the other hand, is the estimated selling price in the ordinary course of business, less the estimated costs of completion and estimated costs necessary to make the sale.
Cost of inventories is defined in paragraph 6 of AASB102, while net realizable value is defined in paragraph 6.
The inventory valuation rule is mentioned in paragraph 9 of AASB102, which states that inventories should be measured at the lower of cost and net realizable value.
In conclusion, AASB102 defines the cost and net realizable value of inventories, and the inventory valuation rule states that inventories should be valued at the lower of cost and net realizable value.
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Is negotiation generally a power play; in other words, does negotiation success rely predominately on which party has more power? Explain your answer.
It has been observed that people with low power are sometimes your best negotiators. Speculate and offer some possibilities for how this can be possible.
Describe how your behaviors might be different in negotiations with people you already have a good relationship and hope to maintain that relationship, versus with someone who you've never met and don't anticipate ever dealing with again.
Negotiation is not solely determined by power dynamics.
While power can influence the negotiation process, success relies on various factors such as communication, strategy, empathy, and problem-solving. People with low power can be effective negotiators due to their thorough preparation, active listening, empathy, creativity, and problem-solving skills. They may focus on finding mutually beneficial solutions rather than exerting power.
In negotiations with existing relationships, maintaining rapport and finding win-win outcomes are prioritized. In negotiations with unfamiliar parties, a more transactional approach may be taken. Adaptability and understanding the specific context and desired outcomes are key to achieving successful negotiations, regardless of power dynamics.
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