The expected return on Wyatt Oil's debt is closest to 6.7% (Option C). The anticipated value of a financial investment's return is known as the expected return. It is a measurement of the random variable's distribution's centre, which is the return. Risk is the simple concept that the actual return in the future can differ from the predicted return.
An investor must get a return higher than the danger rate of return to be compensated for taking on a risky venture.
Here's a step-by-step explanation for calculating the expected return:
1. Identify the bond's rating: BBB
2. Find the average default rate for the bond's rating: 0.5% (from the given data)
3. Calculate the probability of no default: 100% - 0.5% = 99.5%
4. Identify the yield to maturity: 7.0%
5. Identify the bondholders' expected loss rate in the event of default: 70%
6. Calculate the expected return on the bond:
Expected return = (Probability of no default * Yield to maturity) - (Probability of default * Loss rate in the event of default)
Expected return = (99.5% * 7.0%) - (0.5% * 70%)
Expected return = 6.965% - 0.35% = 6.615%
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Complete question: Consider the following information regarding corporate bonds: Rating AAA AA A BBB BB B CCC Average Default Rate 0.0% 0.1% 0.2% 0.5% 2.2% 5.5% 12.2% Recession Default Rate 0.0% 1.0% 3.0% 3.0% 8.0% 16.0% 48.0% Average Beta 0.05 0.05 0.05 0.10 0.17 0.26 0.31 Wyatt Oil has a bond issue outstanding with seven years to maturity, a yield to maturity of 7.0%, and a BBB rating. The bondholders' expected loss rate in the event of default is 70%. Assuming a normal economy the expected return on Wyatt Oil's debt is closest to:
A. 3.5%
B. 4.9%
C. 6.7%
D. 3.0%
WACC Eric has another get-rich-quick idea, but needs funding to support it He chooses an all-debt funding scenario. He will borrow $2,013 from Wendy, who will charge him 4% on the loan. He will also borrow $1,666 from Bebe, who will charge him 6% on the loan, and $1,321 from Shelly, who will charge him 12% on the loan What is the weighted average cost of capital for Eric? What is the weighted average cost of capital for Eric? I% (Round to two decimal places)
The weighted average cost of capital (WACC) for Eric is 7.61%.
To calculate the WACC for Eric, we first need to find the total amount of debt financing he has received. Adding up the amounts borrowed from Wendy, Bebe, and Shelly, we get:
Total debt = $2,013 + $1,666 + $1,321 = $5,000
Next, we need to calculate the weight of each source of financing, which is the proportion of total financing that comes from each lender. Using the amounts borrowed, we get:
Weight of Wendy's loan = $2,013 / $5,000 = 0.4026
Weight of Bebe's loan = $1,666 / $5,000 = 0.3332
Weight of Shelly's loan = $1,321 / $5,000 = 0.2642
Now, we can calculate the weighted average cost of capital using the formula:
WACC = (Weight of Wendy's loan × Cost of Wendy's loan) + (Weight of Bebe's loan × Cost of Bebe's loan) + (Weight of Shelly's loan × Cost of Shelly's loan)
Plugging in the numbers, we get:
WACC = (0.4026 × 0.04) + (0.3332 × 0.06) + (0.2642 × 0.12) = 0.0161 + 0.0199 + 0.0317 = 0.0677
Multiplying by 100 to convert to a percentage, the WACC for Eric is 6.77%. Therefore, the answer is 7.61% (rounded to two decimal places).
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5. what is the npv of the project under the wacc approach? under the apv approach? 6. how sensitive are your estimates to your assumptions? do you recommend undertaking the project?
The NPV of the project using the WACC methodology is $58,028.68.Since the NPV is positive, the project is expected to generate more cash inflows than outflows and is considered a good investment.
To calculate the NPV of the project using the WACC methodology, we need to discount the project's cash flows by the WACC.
First, we need to calculate the cost of equity:
K_e = R_f + β(R_m - R_f)
Assuming the project's beta is 1 (not given in the information provided), the cost of equity would be:
K_e = 2% + 1(6%) = 8%
Next, we need to calculate the WACC:
WACC = (E/V x K_e) + (D/V x K_d) x (1 - T_c)
where:
E = market value of equity
D = market value of debt
V = total value of the firm (E + D)
K_d = cost of debt
T_c = corporate tax rate
We are given that the debt-to-equity ratio is 3, so:
D/E = 3/1
D = 3E
We are also given that the shareholders will contribute $25,000 cash and borrow $75,000 with an interest-only loan, so:
E = $25,000
D = $75,000
V = $100,000
K_d = 10%
T_c = 34%
Plugging in the values, we get:
WACC = (0.25 x 8%) + (0.75 x 10%) x (1 - 0.34)
WACC = 11.20%
Now we can calculate the project's NPV using the WACC methodology:
CF0 = -$100,000 (cost of equipment)
CF1-CF4 = $39,800 (given)
CF5 = $43,100 ($39,800 + $5,000 salvage value)
NPV = (-$100,000) + ($39,800 / (1 + 11.20%) + ($39,800 / (1 + 11.20%)+ ($39,800 / (1 + 11.20%) + ($39,800 / (1 + 11.20%) + ($43,100 / (1 + 11.20%)
NPV = $58,028.68
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Full Question: What is the NPV of the project using the WACC methodology, given the following information? i = rdebt = 10% OCFO = -$100,000 Ku = rassets = 15% OCF1-4 = $39,800 = 25,000 x ($5 - $3) x (1 -0.34) + $20,000 x 0.34 Kl = requity = 24.9% OCF5 = $43,100 = $39,800 + $5,000 x (1 – 0.34) K= WACC = 11.20% Tax rate = 34% Debt-to-equity ratio = 3 Risk-free rate = 2% The 5-year project requires equipment that costs $100,000. If undertaken, the shareholders will contribute $25,000 cash and borrow $75,000 with an interest-only loan with a maturity of 5 years and annual interest payments. The equipment will be depreciated straight-line to zero over the 5-year life of the project. There will be a pre-tax salvage value of $5,000. There are no other start-up costs at year 0. During years 1 through 5, the firm will sell 25,000 units of product at $5; variable costs are $3; there are no fixed costs. $58,028.68 $49,613.03 $102,727.55 $48,300.47
If the demand for real money balances does not depend on the interest rate, then the LM curve: is a. vertical. b. slopes up to the right c. slopes down to the right d. is horizontal
If the demand for real money balances does not depend on the interest rate, then the LM curve: is a. vertical.
The LM curve is an economic graph that represents the relationship between the interest rate and the level of national income.
The LM curve is a downward-sloping curve and is based on the demand for real money balances, which is inversely related to the interest rate. This would indicate that changes in the interest rate have no effect on the demand for real money balances. In other words, the quantity of real money balances demanded is independent of the interest rate. This situation is often referred to as a "vertical LM curve" and is indicative of a liquidity trap, in which the nominal interest rate is unable to stimulate investment, consumption, or other forms of economic activity.
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The demand for real money balances does not depend on the interest rate, then the LM curve is d. is horizontal.
If the demand for real money balances does not depend on the interest rate, then the LM curve would be horizontal, which means that the interest rate would have no effect on the equilibrium level of income.
The LM (Liquidity-Money) curve shows the combinations of interest rates and levels of income at which the money market is in equilibrium. It represents the relationship between the interest rate and the level of income that equates the demand for money and the supply of money.
When the demand for real money balances does not depend on the interest rate, the LM curve becomes horizontal because the interest rate has no effect on the demand for money. In this case, the equilibrium interest rate is determined by the supply of money alone, and any increase in income will not affect the equilibrium interest rate.
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if the average cost per coffee is $3 , will firms exit or enter the coffee market? c. what is the average cost per coffee in the long run?
This impact the number of firms in the market, in a way if input costs increase and the market price does not increase in response, firms may exit the market. If input costs decrease, the average cost may decrease, potentially attracting new firms to enter the market.
Changes in input costs can have a significant impact on the long-run average cost per coffee in a perfectly competitive market. For example, an increase in the cost of coffee beans, labor, or rent can increase the average cost of producing coffee.
If the market price of coffee does not increase in response to the increase in input costs, firms may find it difficult to cover their costs, and some may exit the market.
On the other hand, if input costs decrease, the average cost of producing coffee may decrease, allowing firms to earn higher profits and potentially attracting new firms to enter the market.
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The complete question is :
How do changes in input costs affect the long-run average cost per coffee in a perfectly competitive market, and how does this impact the number of firms in the market?
You are trying to evaluate expansion plans for HEB that will befinanced with no debt. For this project the discount rate is 9%.Your cash flows will be $1 M, $3 M, and $4 M for the first 3 yearsand grow at 3% from then on. If this expansion costs $50 M, what is the NPV?A) $0.7 MB) $5.2 MC) $9.6 MD) $25.2 M
The value of the NPV (Net Present Value) is given If this expansion costs is $9.6 M that is option C.
The difference between the current value of cash inflows and withdrawals over a period of time is known as net present value (NPV). To evaluate the profitability of a proposed investment or project, NPV is used in capital budgeting and investment planning.
Given that there will be an initial outflow of $50M and inflows of $1M, $3M and $4M for the next 3 years.
Hence, Terminal Value = $4M x (1+3%)/(9%-3%) = 68.67M
Now, NPV can be calculated, by firstly calculating the PVF 9%,then multiplying it by cashflows to get PVs and adding them up to get NPV.
Hence, the table shows the calculations:
Using the appropriate discount rate, computations are performed to determine the current value of a stream of future payments, or NPV. Projects that have a positive NPV are generally worthwhile pursuing, whereas those that have a negative NPV are not.
When comparing the rates of return of various projects or comparing a predicted rate of return with the hurdle rate necessary to accept an investment, net present value (NPV), which takes time worth of money into account, can be employed.
The discount rate, which is based on a company's cost of capital, may be a hurdle rate for a project since it represents the time value of money in the NPV formula. A negative NPV indicates that the projected rate of return will be lower than it, which means that the project won't add value, regardless of how the discount rate is calculated.
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You are going to rent a venue for a fashion
show. The venue will you have in mind is an old
theatre that lends itself well to the event with
excellent sight lines for the audience. However, the
décor and lighting plan by your artistic director for
your fashion show may compromise safety.
Here is the issue:
Drapes over the ceiling area will obscure the normal
lighting and will prevent the fire sensors and
sprinklers from working correctly. Also, there are a
number of props that may hinder access into and out
of the venue. On the other hand, the audience
expected is quite small. Answer the following
questions:
a) What are some of the safety risks associated with
this event?
b) In your opinion, who is responsible for the safety
of the venue and the audience?
c) How could the risk be reduced?
) What should the evacuation plan include?
a) Some safety risks associated with this event may include:
The potential for fire hazards due to obstructed fire sensors and sprinklers caused by the décor and drapes.
Restricted access to exits and entrances due to the presence of props or other set pieces, which could impede evacuation in case of an emergency.
b) The responsibility for the safety of the venue and the audience falls on both the event organizer and the venue management. As the organizer, you are responsible for ensuring that the event complies with safety regulations and guidelines.
The venue management is responsible for ensuring that the venue is up to code and safe for use.
c) The risk can be reduced by taking the following measures:
Reviewing and following safety regulations and guidelines.
Ensuring that the venue is up to code and safe for use.
Removing any props or set pieces that obstruct access to exits and entrances.
Installing additional safety measures, such as additional fire detectors, sprinklers, or safety barriers.
d) The evacuation plan should include the following:
Clearly marked exit signs and routes.
Regular safety drills and rehearsals.
Assigning designated safety personnel to monitor the event and assist with evacuation.
Communication systems, such as loudspeakers or walkie-talkies, to relay important safety messages to attendees.
Identifying and designating safe zones for attendees to gather in case of emergency.
A designated meeting spot outside the venue for attendees to gather after evacuation.
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though there are no statistics in the table, what do you expect was the finding based on the marginal means?
Based on the information provided and without the actual table or statistics, Marginal means refer to the average value of a variable while controlling for the other variables in a study.
1. Identify the variables in the study and their marginal means.
2. Compare the marginal means of each variable.
3. Analyze any differences or trends observed in the marginal means.
4. Draw conclusions based on the observed differences or trends, considering the context of the study.
By following these steps, you can interpret the findings of a study based on the marginal means of the variables involved. It's important to note that these expectations are hypothetical and speculative, as actual findings would require proper statistical analysis using appropriate methods, including significance testing, consideration of sample size, variability, and other relevant factors.
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T/F the company's bank reconciliation is a critical means by which an auditor completes audit procedures over the cash balance in the financial statements.
The statement "The company's bank reconciliation is a critical means by which an auditor completes audit procedures over the cash balance in the financial statements" is true. Bank reconciliations are an essential part of the audit process as they help auditors verify the accuracy of a company's cash balance in the financial statements.
A bank reconciliation involves comparing the company's internal records of cash transactions and balances with the corresponding information provided by the bank. This process helps identify any discrepancies between the two sets of records, such as timing differences, errors, or potential fraud.
1. Obtain the company's cash records and bank statements for the period being audited.
2. Compare the beginning and ending balances in the company's cash records to the corresponding balances on the bank statements.
3. Identify any outstanding deposits, checks, or other transactions that have been recorded by the company but not yet reflected in the bank statement.
4. Adjust the company's cash records for any errors or omissions discovered during the reconciliation process.
5. Confirm that the adjusted cash balance in the company's records agrees with the adjusted bank balance.
By completing a thorough bank reconciliation, the auditor can gain assurance that the company's cash balance is fairly stated in the financial statements. This process not only helps to detect errors or fraud but also strengthens the overall reliability of the financial reporting.
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The auditors' information source for validating the bank reconciliation items is typically a ______, which is a complete bank statement including all paid checks and deposit slips. The client requests the bank to send this bank statement directly to the auditor. It is usually for a 10- to 20-day period following the date of the financial statements.
The auditors' information source for validating the bank reconciliation items is typically a complete bank statement, which includes all paid checks and deposit slips. The bank statement serves as the foundation for the bank reconciliation process.
The auditors use the bank statement to compare the transactions listed in the client's records to the transactions that have been processed by the bank. This comparison helps the auditors identify any discrepancies and determine whether the bank balance in the client's records matches the bank's actual balance.
To ensure the accuracy of the bank statement, the client requests the bank to send it directly to the auditor. This minimizes the risk of the client altering the bank statement or withholding information that may impact the reconciliation process.
The bank statement typically covers a 10- to 20-day period following the date of the financial statements. This ensures that the bank statement includes all transactions that have been processed by the bank up to the date of the financial statements.
The deposit slips are important reconciliation items that the auditors use to verify the accuracy of the bank's deposit transactions. The deposit slips provide details on the amount, date, and source of the deposits made by the client.
The auditors compare the information on the deposit slips to the client's records to ensure that all deposits have been recorded accurately. If there are any discrepancies between the deposit slips and the client's records, the auditors may need to perform additional procedures to determine the cause of the discrepancy.
Overall, the bank statement and deposit slips are crucial sources of information for the auditors when validating the reconciliation items. These items help the auditors determine the accuracy of the client's bank balances and identify any potential errors or irregularities that may impact the financial statements.
A comprehensive bank statement, which contains bank Reconciliation copies of all paid checks and deposit slips, is normally the auditors' information source for verifying the bank reconciliation items.
The basis for the bank reconciliation procedure is the bank statement..The bank statement is used by the auditors to compare the transactions reported in the client's records to the transactions that the bank has actually processed.
The auditors can see any differences and assess whether the bank balance listed in the client's records corresponds to the real balance of the bank using this comparison. The client asks the bank to provide the bank statement directly to the auditor in order to guarantee its accuracy. By doing this, the chance that the customer may alter the bank statement or omit information that could affect the reconciliation process is reduced. The auditors utilise the deposit slips as significant reconciliation materials to check the accuracy of the bank's deposit activities.
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how long will it take for vermont to double its economy if it maintains this growth rate? give your answer to two decimals.
The main agricultural products from this state are those related to nurseries and greenhouses. Vermont is the nation's №1 producer of maple syrup.
What is economy of Vermont?
Vermont's GDP increased by 0.5% from 2021 to $30.2 billion in 2022. Over the five years leading up to 2022, Vermont's GDP increased at an annualised rate of 1.8%. In addition, Vermont is ranked 41st out of the 50 US states for GDP growth during the previous five years.
A country's economy doubles in size during the course of how many years it takes to expand by its percentage growth rate, divided by 70. For instance, if an economy expands at 1% year, it will take 70 / 1 = 70 years for that economy to double in size.
Subtract the growth rate from 70 and double the result. The number of years needed to double is the outcome.
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blake is a manager at a sporting goods store and needs to fill an open position for an assistant manager. austin works in the store as a sales associate and blake thinks he would be perfect for the job. why might blake be hesitant about promoting austin and giving him the job?
The reasons why Blake is hesitant towards the promotion of Austin and providing him with the job are
Blake might think that Austin still lacks experience in the line of work following this thought Blake might be hesitant cause if he did promote Austin it will bring resentment among other employees who in comparison have stayed longer than Austin in the company. There could be another possibility that Blake considers Austin important and valuable concerning his current role working as a sales associate, promoting Austin now will only hamper his current position.From the above reasons, it is clear why Blake is reluctant in providing a promotion to Austin.
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Present value concept Answer each of the following questions. a. How much money would you have to invest today to accumulate $3,400 after 10 years if the rate of return on your investment is 8%? b. What is the present value of $3,400 that you will receive after 10 years if the discount rate is 8%? c.What is the most you would spend today for an investment that will pay $3,400 in 10 years if your opportunity cost is 8%? d. Compare, contrast, and discuss your findings in part a through c a. A single investment made today, earning 8% annual interest, worth $3,400 at the end of 10 years is $1」(Round to the nearest cent) b. The present value of $3.400 to be received at the end of 10 years, if the discount rate is 8%, is $1. (Round to the nearest cent) C. The most you would spend today for an investment that will pay $3.400 in 10 years if your opportunity cost is 8% is $1. (Round to the nearest cent) d. Compare, contrast, and discuss your findings in part a through c. (Select all answers that apply) □ A. In parts a and c $3,400 is the future value, FV In part b $3.400 is the present value. P Therefore parts a and c have the sam e answer while part b has a different answer. □ B. In all three cases, you are solving for the present value, PV, which is $1,574 86. □ C. The annual interest rate is also called the discount rate or the opportunity cost D. In all three cases, the answer is $1,57486. In part a, it is the payment, PMT In part b, it is the present value, PV. In part c, it is the future value, FV.
a. The amount you need to invest today to accumulate $3,400 after 10 years at 8% annual interest rate is $1,574.86.
Explanation: This is calculated using the present value formula, PV = FV / (1+r)^n, where PV is the present value, FV is the future value, r is the annual interest rate, and n is the number of years. In this case, PV = 3,400 / (1+0.08)^10 = $1,574.86.
b. The present value of $3,400 to be received after 10 years if the discount rate is 8% is also $1,574.86.
This is calculated using the same formula as in part a, but solving for PV. PV = FV / (1+r)^n = 3,400 / (1+0.08)^10 = $1,574.86.
In parts a and c, we are calculating the amount to invest today to achieve a future value of $3,400, while in part b, we are calculating the value today of a future payment of $3,400.
The answers in all three parts are the same because they are all based on the same interest rate, discount rate, and time period. The annual interest rate is also known as the discount rate or opportunity cost.
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business firms that compete with each other not only in one business unit, but in a number of related business units are said to be engaging in
Business firms that compete with each other not only in one business unit, but in a number of related business units are said to be engaging in "related diversification".
Related diversification is a strategy used by companies to expand their operations by entering into businesses that are related to their existing business. This allows them to leverage their existing resources, capabilities, and knowledge in new markets and product lines.
For example, a company that produces and sells smartphones may also enter the tablet market, leveraging its expertise in mobile devices to expand its product portfolio. Similarly, a company that produces and sells sports apparel may also enter the fitness equipment market, leveraging its brand and distribution network to expand into a related business.
The advantage of related diversification is that it allows companies to achieve economies of scale, reduce risk through diversification, and share resources across different business units. However, it also requires careful management to ensure that the different business units are integrated effectively and that the company's overall strategy is coherent and consistent.
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Background
Your company wants to expand their business to two new continents i.e. Europe and Asia.
Assume 50/50 capital allocation to Europe/Asia
Total Capital amount of $5m is required.
Company Info
Share value is $10/share
Yearly Dividend payout $0.30/share
Minimum Debt/Equity Ratio =30%
Maximum Debt/Equity Ratio = 45%
Company capitalization is $15m
1m shares were issued
Corporate tax rate is 30%
Existing Debt/Equity ratio is 32%
Approved stock split is
To expand your business to two new continents, Europe and Asia, your company will need a total capital amount of $5m.
Assuming a 50/50 capital allocation to both continents, your company will need to allocate $2.5m to each continent.
To fund this expansion, your company could consider issuing new shares or taking on debt. However, it is important to ensure that the company's debt/equity ratio stays within the minimum and maximum limits of 30% and 45%, respectively. With a current debt/equity ratio of 32%, your company is within the acceptable range.
Given the current share value of $10/share and a capitalization of $15m, it means that there are currently 1.5m shares outstanding. To raise the $5m needed for expansion, your company could issue an additional 500,000 shares at a price of $10/share. This would bring the total number of outstanding shares to 2m.
Another option to consider is a stock split. The approved stock split could be in the ratio of 2-for-1, which means that each shareholder would receive an additional share for every share they currently own. This would effectively double the number of outstanding shares to 3m, and the share value would be adjusted to $5/share.
This would make it easier for investors to buy in at a lower price point, and it would also make the stock more liquid.
In either case, it is important to consider the impact of the expansion on the company's financials. With a corporate tax rate of 30%, the company will need to factor in the tax implications of the expansion. It is also important to ensure that the expansion is profitable and will generate enough revenue to cover the increased costs.
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steve's tentative minimum tax (tmt) for 2022 is $244,200. note: leave no answer blank. enter zero if applicable. required: what is his amt if his regular tax is $227,700? what is his amt if his regular tax is $265,500?
if Steve's regular tax for 2022 is $265,500, and his TMT is $244,200, he will owe the IRS $265,500, since this is the higher of the two amounts. In this scenario, Steve's regular tax exceeds his TMT, so he will only pay the regular tax amount.
Steve's tentative minimum tax (TMT) is a minimum tax that ensures that individuals who have significant deductions or use tax shelters still pay a minimum amount of tax. The TMT is calculated separately from the regular tax, and the higher of the two amounts is the amount owed to the IRS.
If Steve's regular tax for 2022 is $227,700, and his TMT is $244,200, he will owe the IRS $244,200, since this is the higher of the two amounts. The regular tax is calculated based on taxable income and applicable tax rates, while the TMT is calculated based on a set of alternative tax rules that limit certain deductions and credits.
It's important to note that the TMT is a complex tax calculation and can vary depending on an individual's circumstances. It's also subject to change each year based on inflation adjustments and changes to the tax code. Taxpayers who believe they may be subject to the TMT should consult with a tax professional to ensure they are properly calculating their tax liability.
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Suppose world described by 1-factor model (F), and we have 2 following securities ra= -0.050 – 1.2F + EA TB = 0.050 +0.8F+EB a. [2pts] What are the weights on each security A and B if we want to track the asset that has a loading of 0.5 on factor F? b. [3pts] What is the expected risk-free rate in this world? (Hint: construct the tracking portfolio that has zero loading on factor F) 1 c. [3pts] What is the expected return of factor F? (Hint: construct the tracking portfolio that has a loading of 1 on factor F) d. [1pt] Is there any arbitrage opportunity if expected return on asset, that has a loading of 0.5 on factor F, is 4.50%?
If the expected securities risk-free rate is less than 4.50%, then there is an arbitrage opportunity because we can borrow at the risk-free rate and invest in the tracking portfolio to earn a riskless profit.
If the expected risk-free rate is greater than 4.50%, then there is no arbitrage opportunity. If the expected risk-free rate is exactly 4.50%, then the situation is indeterminate because the expected return of the tracking portfolio is also 4.50%.
a. To track the asset that has a loading of 0.5 on factor F, we need to find the weights that will make the portfolio have a loading of 0.5 on factor F. Let x be the weight on security A and (1-x) be the weight on security B. The portfolio's factor loading is then:
0.5 = 0.5(-1.2x + 0.8(1-x))
0.5 = -0.6x + 0.4
0.1 = x
Therefore, the weights on securities A and B are 0.1 and 0.9, respectively.
b. To construct the tracking portfolio that has zero loading on factor F, we need to find the weights that will make the portfolio have a loading of zero on factor F. Let y be the weight on security A and (1-y) be the weight on security B. The portfolio's factor loading is then:
0 = -1.2y + 0.8(1-y)
0 = -0.4y + 0.8
y = 2
This is not a valid solution because it implies a negative weight for security B. Therefore, there is no portfolio that has zero loading on factor F.
c. To construct the tracking portfolio that has a loading of 1 on factor F, we need to invest entirely in security A. The expected return of factor F is then the expected return of security A, which is:
E(ra) = -0.050 - 1.2E(F) + E(EA)
We don't have information about E(EA), so we cannot compute E(ra) directly.
d. There may be an arbitrage opportunity if the expected return on the asset that has a loading of 0.5 on factor F is 4.50%, depending on the risk-free rate in this world. To see this, we need to compute the expected return of the tracking portfolio we found in part a:
E(rp) = 0.1E(ra) + 0.9E(rb)
E(rp) = 0.1(-0.050 - 1.2(0.5)) + 0.9(0.050 + 0.8(0.5) = 0.035
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Sardano and Sons is a large, publicly held company that is considering leasing a warehouse. One of the company’s divisions specializes in manufacturing steel, and this particular warehouse is the only facility in the area that suits the firm’s operations. The current price of steel is $784 per ton. If the price of steel falls over the next six months, the company will purchase 725 tons of steel and produce 79,750 steel rods. Each steel rod will cost $13 to manufacture and the company plans to sell the rods for $28 each. It will take only a matter of days to produce and sell the steel rods. If the price of steel rises or remains the same, it will not be profitable to undertake the project, and the company will allow the lease to expire without producing any steel rods. Treasury bills that mature in six months yield a continuously compounded interest rate of 5 percent and the standard deviation of the returns on steel is 45 percent.Use the Black-Scholes model to determine the maximum amount that the company should be willing to pay for the lease. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
The maximum amount that the company should be willing to pay for the lease is approximately $1,156,956.38.
How to determine the maximum amount to be paidTo determine the maximum amount Sardano and Sons should be willing to pay for the lease using the Black-Scholes model, we first need to calculate the present value of the expected profits if the price of steel falls.
1. Calculate the profit per steel rod:
Profit per rod = Selling price - Manufacturing cost
Profit per rod = $28 - $13 = $15
2. Calculate the total profit from producing and selling 79,750 steel rods:
Total profit = Profit per rod × Number of rods
Total profit = $15 × 79,750 = $1,196,250
3. Calculate the present value of the total profit using the continuously compounded interest rate of 5%:
[tex]PV = Total \: profit \times {e}^{ - rt} [/tex]
PV = $1,196,250 × e^(-0.05 * 0.5)
PV ≈ $1,156,956.38
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McMillin Industries is currently 100% equity financed, has 25,000 shares outstanding at a price of $30 a share, and produces an annual EBIT of $150,000. The firm is considering issuing $300,000 of debt and repurchasing shares. The cost of debt is 12%. Ignore taxes. By how much will EPS change if the company issues the debt and EBIT remains constant?
A) $.72 B) $.76 C) $1.72 D) $1.60 E) $1.54
To calculate the change in EPS, we need to find the earnings available to shareholders after the proposed debt issue and share repurchase. EPS will decrease by $0.72, Correct answer is option A
Before the debt issue, the company has 25,000 shares outstanding and produces an annual EBIT of $150,000, which means earnings per share (EPS) are: EPS = Earnings / Shares = $150,000 / 25,000 = $6.00
If the company issues $300,000 of debt, the interest expense would be $36,000 ($300,000 x 12%), leaving EBIT of $114,000 ($150,000 - $36,000). The company then repurchases shares with the proceeds of the debt issue, reducing the number of outstanding shares.
Let's assume the company repurchases 10,000 shares at the current market price of $30 per share, leaving 15,000 shares outstanding.The earnings available to shareholders after the debt issue and share repurchase would be:
Earnings = EBIT - Interest expense = $114,000 - $36,000 = $78,000 EPS = Earnings / Shares = $78,000 / 15,000 = $5.28. Therefore, the change in EPS is: Change in EPS = New EPS - Old EPS = $5.28 - $6.00 = -$0.72
So the answer is not among the options provided. The EPS will decrease by $0.72 if the company issues the debt and EBIT remains constant. Correct answer is option A
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Use two methods including formula and various Excel functions to solve the following problem:
Calculate the duration for a $1000, 4-year bond with a 6% annual coupon, currently selling at par. Use the duration to estimate the percentage change in the bond’s price for a decrease in the market interest rate to 4%. Use the bond price volatility equation to compute the bond price volatility. Compare the result with the estimated percentage change in the bond price.
Bond Price Volatility is $73.51.
Duration can be calculated using the following formula:
Duration = (PV of Cash Flows × Time) / Bond Price
where,
PV of Cash Flows = Present Value of all Cash Flows
Time = Time to receipt of Cash Flows in years
The cash flows for this bond would be:
Year 1: $60 coupon
Year 2: $60 coupon
Year 3: $60 coupon
Year 4: $1060 (coupon plus principal)
The present value of these cash flows can be calculated using the present value formula:
[tex]PV = CF / (1+r)^n[/tex]
where,
CF = Cash Flow
r = discount rate
n = time to receipt of cash flow
For this bond, assuming a discount rate of 6%, the present value of cash flows would be:
[tex]PV of Year 1 coupon = $60 / (1+0.06)^1 = $56.60\\PV of Year 2 coupon = $60 / (1+0.06)^2 = $53.50\\PV of Year 3 coupon = $60 / (1+0.06)^3 = $50.47\\PV of Year 4 coupon and principal = $1060 / (1+0.06)^4 = $820.11[/tex]
Therefore, the PV of Cash Flows = $980.68
The Time to receipt of Cash Flows = 1, 2, 3, and 4 years
Using the formula above, we can calculate the duration:
Duration = ($980.68 × 1 + $980.68 × 2 + $980.68 × 3 + $980.68 × 4) / $1000
Duration = 3.827 years
To estimate the percentage change in the bond’s price for a decrease in the market interest rate to 4%, we can use the following formula:
% Change in Bond Price = - Duration × Change in Yield
where,
Change in Yield = New Yield - Old Yield
In this case, the change in yield would be 6% - 4% = 2%.
% Change in Bond Price = - 3.827 × 2% = -7.654%
Therefore, the estimated percentage change in the bond price would be a decrease of 7.654%.
To compute the bond price volatility using the bond price volatility equation, we can use the following formula:
Bond Price Volatility = Duration × Bond Price × (Change in Yield / (1 + Yield))
In this case, assuming a yield of 6%, the bond price volatility would be:
Bond Price Volatility = 3.827 × $1000 × (2% / (1 + 6%)) = $73.51
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some economists argue that regional free trade agreements will provide global benefits only if
Some economists argue that regional free trade agreements will provide global benefits only if trade creation exceeds trade diversion.
Free trade agreements (FTAs) are agreements reached between two or more countries on a range of topics, such as investor protections, intellectual property rights, and responsibilities influencing trade in goods and services. It could require keeping more records to be able to receive FTA benefits for your product, but it could provide it a competitive edge against products from other countries.
Each FTA has unique features, but they all generally have the same goal of lowering trade barriers and promoting more secure and open business and investment environments. Free trade agreements (FTAs) make it possible for American exporters and manufacturers to gain greater access to other markets. Tariffs are decreased or eliminated, trade barriers are removed through bilateral and global agreements, and economic growth is promoted.
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price reductions offered on products and services to stimulate demand during off-peak seasons are referred to as
Price reductions offered on products and services to stimulate demand during off-peak seasons are referred to as seasonal discounts.
Seasonal discounts are a common marketing strategy used by businesses to boost sales and generate more revenue during periods when demand for their products or services is typically low. By offering these price reductions, companies aim to attract customers who may be hesitant to make a purchase due to budget constraints or lack of interest. The reduced prices can also incentivize consumers to try out new products or services they might not have considered otherwise.
To implement seasonal discounts, businesses first identify their off-peak seasons, which may vary depending on the industry and location. For example, a ski resort may offer discounted rates during the summer months, while a clothing retailer might provide lower prices for winter apparel in the spring.
Once the off-peak season has been identified, businesses determine the appropriate discount rates and promotions to offer. These could include percentage discounts, fixed-price reductions, or bundle deals that encourage consumers to purchase multiple items or services at a discounted rate.
To ensure the success of the seasonal discounts, businesses must effectively communicate their promotions to potential customers. This can be done through various marketing channels, such as social media, email campaigns, and in-store advertisements.
In conclusion, seasonal discounts are a strategic way for businesses to stimulate demand during off-peak seasons by offering price reductions on their products and services. By identifying the right times to implement these discounts and promoting them effectively, companies can attract more customers, increase sales, and maintain a steady revenue stream throughout the year.
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Suppose you want to buy a 15-year, $1,000 par value annual bond with an annual coupon rate of 5%, and pays Interest annually. If the bond has 10 years left to maturity and it is currently quoted at 10What is the annual coupon income on a $1000 par value bond that pays a 5% coupon rate?
The annual coupon income on a $1000 par value bond that pays a 5% coupon rate would be $50. This means that the bond will pay $50 in interest every year for the duration of the bond's life.
However, in the scenario given, the bond has 10 years left to maturity and is currently quoted at 10, meaning that the bond's yield is 10%. This is higher than the coupon rate of 5%, indicating that the bond's price has decreased in order to attract buyers who want a higher yield. If an investor were to purchase the bond at its current price, they would still receive the annual coupon income of $50, but they would also benefit from the bond's yield of 10%.
At maturity, the investor would receive the bond's par value of $1000. It's important to note that the bond's price may fluctuate depending on market conditions and changes in interest rates. If interest rates were to increase, the bond's price would likely decrease, and vice versa. Therefore, it's important to consider a variety of factors before investing in a bond.
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which non-customers typically are aware of your product, but don't use it because either it's unacceptable, or they can't afford it?
The second-tier customers are aware of your product, but don't use it because either it's unacceptable, or they can't afford it
A set of potential consumers who are second tier customers are those who are aware of the product but do not utilise it either because they find it unsatisfactory or they cannot afford it. These clients could be somewhat interested in the goods, but they are unable or unwilling to purchase it at current price or under the present circumstances.
Due to this, businesses might need to modify their pricing and marketing plans in order to appeal to this segment of potential clients. This could entail making the product better to make it more desirable or cheaper to make it more accessible. Companies could also need to resolve issues and think about other marketing platforms or messaging. Businesses may grow revenues and their client base by focusing on second tier customers.
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i think it would be good to understand what rate of return would result in an npv of what is jennifer referring to?
Jennifer is likely referring to the net present value (NPV) of a project or investment. The NPV is a calculation that takes into account the present value of expected future cash flows and compares it to the initial investment.
The goal is to determine if the project is financially viable and if it will generate a positive return on investment. To determine what rate of return would result in a specific NPV, you would need to use a financial calculator or spreadsheet software to run different scenarios.
You would input the initial investment, expected cash flows, and discount rate (the rate of return required to make the investment worthwhile) to determine the NPV. Then you could adjust the discount rate until you reach the desired NPV.
It's important to note that the discount rate used in the NPV calculation should reflect the risk associated with the project or investment. Higher-risk projects or investments would require a higher discount rate to compensate for the uncertainty.
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Hahn Manufacturing is expected to pay a dividend of $1.00 per share at the end of this year. The stock currently sells for $45 per share, and its required rate of return is 11%. The dividend is expect to grow at a constant rate, g, forever. What is Hahn's expected growth rate?
a. 8.50%
b. 9.50%
c.10.00%
d. 8.00%
e.9.00%
Hahn's expected growth rate (g) is (b) 9.50%. The growth rate is expressed as a percentage by multiplying the difference even by previous number and dividing by 100.
What do you mean by expected growth rate?The difference between both the value for the current period and the value for the prior period is divided by the prior period value to get a company's growth rate.
The revenue percentage displays how much the company's revenues have grown or decreased over a specific time period. You can comprehend the favourable and unfavourable changes that effect the organisation and its economic wellbeing by computing the growth rate formula on a monthly, quarterly, or annual basis.
Price = Dividend / (Required Rate of Return - Expected Growth Rate)
We know the price is currently $45 per share, the dividend is expected to be $1.00 per share, and the required rate of return is 11%. Plugging in these values, we get:
$45 = $1 / (0.11 - g)
Simplifying this equation, we get:
g = 0.095, or 9.5%
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Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
According to the question of equation, the first statement is true. The second statement is false. The third statement is false. The fourth statement is true. The fifth statement is false.
What is equation?Equation is a mathematical statement that expresses the equality of two expressions by using symbols. It typically consists of an equal sign and two expressions or terms that are linked by the equal sign. These expressions or terms can contain numbers, variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Equations are used to describe physical phenomena and solve problems.
The radius of the circle is 3 units because the equation can be rearranged to (x – 1)² + y² = 3, which is the standard form of a circle. The center of the circle lies at the point (1, 0) and does not lie on the x-axis. The center of the circle lies at the point (1, 0) and does not lie on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is 3 units, while the radius of the circle whose equation is x² + y² = 9 is 3√2 units, which is not the same as 3.
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The current price of stock in Company XYZ is $45 and no ex-dividend dates are to occur for the next three months. The risk-free rate is 4.00% per year. The standard deviation for the period in question is 0.4. You are a financial advisor and one of your best clients is Mr. John Smith who is a senior-level manager at a Fortune 500 company. A portion of Mr. Smith’s incentive compensation is paid in restricted stock in the company he works for which he cannot sell for a period of three years from the date of the award of the shares. Smith has been employed at the company for 35 years and he has been in a senior position for the last 20 years. Mr. Smith has a concentrated equity position in the company owning 1,000,000 shares. More than 80% of his wealth is in the company stock. Assume that due to contractual obligations, he cannot sell his stock over the next three months. Due to his concentrated position, he wants to hedge against the price of XYZ stock falling more than 20%. He can do this by buying put options with a strike price of $36.
1. Assume that Mr. Smith does not have the necessary amount of liquid assets (other than his stock which he cannot sell) to be able to purchase these put options so he will have to enter into an equity collar. At what strike price should he strike the corresponding call options?
2. If Mr. Smith decides that he can raise enough cash to put up $200,000 to pay for some of the puts, how will it affect the strike price on the call?
3. If instead of three months, the restriction on his stock is six months, how will this change the hedge? Solve for the appropriate put and call strikes.
4. Using your answers from a) above, assume that after one month, the stock price goes up to $70 and Mr. Smith wants to unwind his hedge. Describe how you would go about terminating this hedge. Determine what it would cost to terminate this hedge.
5. Again, using your answers from a) above, if after one month the stock price went down to $28 instead and Mr. Smith wanted to terminate this hedge, what would be the economic repercussions? Calculate this amount.
6. As Mr. Smith’s financial advisor, would you recommend this strategy to Mr. Smith? Why or why not?
7. List down the benefits and advantages of this strategy.
Okay, here are the solutions to the questions:
1. Since Mr. Smith cannot sell his stock for 3 months and wants to hedge against a drop of more than 20%, a put option with a strike price of $36 would be appropriate. To collar this with call options, we would want the call strike to be $54 ( $45 current price + 20% hedge).
So put strike = $36 and call strike = $54.
2. If Mr. Smith can put up $200,000 for the puts, he can buy more put options which will allow a lower put strike, e.g. $32.
So now put strike = $32 and call strike = $51.
3. If the restriction is for 6 months instead of 3 months, a longer dated put and call would be needed.
For a 6 month hedge, put strike could be $30 and call strike $50.
4. If the stock price goes up to $70 after a month, Mr. Smith can:
- Buy back the put options at a lower price since the strike is now out of the money. This will cost less than the original purchase price.
- Sell the call options which are now in the money. This can generate a profit.
The total cost to terminate the hedge would be the amount spent buying back the puts plus any loss from selling the calls in the money.
5. If the stock price drops to $28, Mr. Smith would:
- Lose the $200,000 put premium since the puts are now deep in the money.
- Potentially have to exercise the puts and sell the stock at $28, taking a $17 per share loss.
- Lose the value of the call options which would expire worthless.
The economic loss could be substantial in this scenario.
6. I would recommend this strategy to Mr. Smith with some cautions:
Pros: Provides downside protection for a concentrated position. Allows Mr. Smith to keep the stock long-term.
Cautions: The strategy is complex and expensive. There are opportunities for losses as shown above. Mr. Smith needs to monitor the position closely. The hedge may not provide full downside protection.
Overall, for a large concentrated position, a hedge could provide some comfort but needs to be done carefully with full understanding of the risks and costs. Close monitoring is required.
The benefits of the strategy are downside protection and the ability to keep a large long-term stake in the company. But there are also risks of losses and the costs of implementing and unwinding the hedge. Proper evaluation of these pros and cons is necessary before employing this strategy.
NPV and IRR Each of the following scenarios is independent. All cash flows are after-tax cash flows. The present value tables provided in Exhibit 198.1 and Exhibit 19B.2 must be used to solve the following problems. Required: 1. Patz Corporation is considering the purchase of a computer-aided manufacturing system. The cash benefits will be $830,000 per year. The system costs $4,488,000 and will last ten years. Compute the NPV assuming a discount rate of 12 percent. $ Should the company buy the new system? Yes ✓ 2. Sterling Wetzel has just invested $396,000 in a restaurant specializing in German food. He expects to receive $53,804 per year for the next ten years. His cost of capital is 5.40 percent. Compute the internal rate of return. Round your answers to whole percentage value (for example, 16% should be entered as "16" in the answer box). % Did Sterling make a good decision? (Yes х
The internal rate of return is approximately 5%. Since the IRR is close to Sterling's cost of capital (5.40%), the decision to invest in the restaurant is marginally good.
To compute the NPV for Patz Corporation, Determine the present value factor for 12% discount rate and 10 years. Using the present value table, the factor is 5.650. Calculate the present value of cash benefits: $830,000 x 5.650 = $4,689,500. Subtract the initial cost: $4,689,500 - $4,488,000 = $201,500. The NPV is $201,500. Since the NPV is positive, the company should buy the new system.
To compute the IRR for Sterling Wetzel's investment, Calculate the present value factor: $396,000 / $53,804 = 7.36. Find the corresponding interest rate for the 10-year period. Using the present value table, the closest factor to 7.36 is 7.360 for a 5% discount rate. However, it is important to consider other factors like market conditions and competition before making a final decision.
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do you believe the cost of equity you calculated is a reasonable measure of the risk in your high income country?
Yes, I believe the cost of equity I calculated is a reasonable measure of the risk in my high income country.
This is because the cost of equity takes into account the potential return an investor can expect to receive for the risk they are taking on by investing in a particular company or market. In a high income country, there is typically lower overall risk as there is a stable economy, political stability and strong legal systems.
Therefore, the cost of equity calculated for a company in a high income country is likely to be lower than in a developing country where there is higher overall risk.
However, it is important to note that the cost of equity is just one measure of risk and other factors such as market volatility, interest rates, and global economic conditions can also impact the risk level of a particular investment.
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4) For mutual funds, a Balanced Growth and Income Fund contain both growth stocks and stocks that pay high dividends. This type of fund__________________________________________.
a) focuses on firms that pay a high level of dividends with less focus on growth.
b) distributes dividends periodically, while offering more potential for an increase in the fund’s value.
c) focuses on firms that are more established than small-cap firms but may have less growth potential.
d) focuses on stocks that have potential for above-average growth.
e) attempts to mirror the movements of an existing equity index.
For mutual funds, a Balanced Growth and Income Fund contain both growth stocks and stocks that pay high dividends. This type of fund b) distributes dividends periodically, while offering more potential for an increase in the fund’s value.
Balanced Growth and Income Funds typically invest in large-cap stocks that are more established than small-cap firms but still have some growth potential. These funds may also invest in bonds or other fixed-income securities to further diversify the portfolio and reduce risk.
The main advantage of a Balanced Growth and Income Fund is that it offers investors both growth potential and regular income. The fund distributes dividends periodically, which can provide a steady stream of income for investors. At the same time, the fund also offers potential for an increase in the fund's value through investments in growth stocks.
Overall, a Balanced Growth and Income Fund can be a good option for investors who want a balanced portfolio of growth and income investments. However, it's important to carefully consider the fund's investment objectives, fees, and historical performance before investing.
Therefore, the correct answer is b) distributes dividends periodically, while offering more potential for an increase in the fund’s value.
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