1. To calculate the PVGO with given values, first, find the dividend payout ratio (1 - b) which is 1 - 0.17 = 0.83. Next, calculate the earnings per share (EPS) by dividing the expected firm earnings by the number of shares outstanding, which is $8,000 / 2,000 = $4.
Then, determine the dividend per share (DPS) by multiplying EPS by the dividend payout ratio, which is $4 * 0.83 = $3.32. Now, calculate the growth rate (g) by multiplying the plow back ratio by the ROE, which is 0.17 * 0.16 = 0.0272.
Finally, calculate the PVGO using the formula PVGO = (DPS / (kg)) - (EPS / k), which is ($3.32 / (0.09 - 0.0272)) - ($4 / 0.09) = 48.50617 - 44.44444 = 4.06173.
2. To calculate today's price P0, follow similar steps as in the first calculation. Find the EPS, which is $6,000 / 1,000 = $6.
Calculate the DPS using the payout ratio (1 - b) = 1 - 0.20 = 0.80, resulting in a DPS of $6 * 0.80 = $4.80. Calculate the growth rate (g) as 0.20 * 0.13 = 0.026. Lastly, use the Gordon growth model to find P0: P0 = DPS / (kg), which is $4.80 / (0.10 - 0.026) = $64.0000.
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DeAngelo Corp.'s projected net income is $150.0 million, its target capital structure is 25% debt and 75% equity, and its target payout ratio is 65%. DeAngelo has more positive NPV projects than it can finance without issuing new stock, but its board of directors had decreed that it cannot issue any new shares in the foreseeable future. The CFO now wants to determine how the maximum capital budget would be affected by changes in capital structure policy and/or the target dividend payout policy. Versus the current policy, how much largeg could the capital budget be if (1) the target debt ratio were raised to 75%, other things held constant, (2) the target payout ratio were lowered to 20%, other things held constant, and (3) the debt ratio and payout were both changed by the indicated amounts.
Increase in Capital Budget
Increase Debt Lower Payout Do Both
to 75% to 20%
a. $114.0 $73.3 $333.9
b.$120.0$77.2$351.5
c. $126.4 $81.2 $370.0
d. $133.0 $85.5 $389.5
e. $140.0 $90.0 $410.0
Please show you calculations.
Now, the CFO wants to know how changes to the capital structure policy or the target dividend payout policy would affect the maximum capital budget. Option e. $140.0 $90.0 $410.0 is correct .
Is having more debt bad for your credit score?Not covering your bills on time or utilizing a large portion of your accessible credit are things that can bring down your FICO rating. Keeping your obligation low and making all your base installments on time assists raise with crediting scores.
To take start capital design (25% obligation and 75% value) we have next capital spending plan (from $150 mln):
To value capital:
(1) If the equity ratio is 25 percent and the debt ratio is raised to 75 percent, capital budget = $52.5 million / 0.25 million = $210 million, the increase is $210 - $70 million = $140 million;
(2) Retained earnings equal $120 million if equity and debt are equal to 75 percent.
capital budget = $160 million x 0.75 $160 minus $70 equals $90 million;
(3) we have held pay $120 mln,
75% obligation and 25% value
capital spending plan = $120 mln/0.25 = $480 mln,
the increment is $480 - $70 = $410 mln.
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Increased rivalry tends to squeeze profit margins of most firms in an industry. True OR False
Answer: The answer is true
Explanation:
The risk-free rate is 3.50% and the market risk premium is 7.16%. A stock with a β of 1.38 just paid a dividend of $2.31. The dividend is expected to grow at 22.01% for five years and then grow at 4.12% forever. What is the value of the stock?
The value of the stock is estimated to be $55.85.
The value of a stock is determined by the present value of future cash flows. The stock in question just paid a dividend of $2.31 and is expected to grow at 22.01% for the next five years and then at 4.12% thereafter.
The stock also has a beta of 1.38, which implies that it is expected to outperform the market by 38%.
Given the risk-free rate of 3.50% and the market risk premium of 7.16%, the required rate of return for this stock is 11.66% (3.50% + 1.38 x 7.16%).
Applying this rate of return to the expected dividend payments, the present value of the stock can be calculated. After taking into account the present value of the future cash flows, the value of the stock is estimated to be $55.85.
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Jamie borrowed $425,000 with an adjustable rate mortgage with a
30-year term and the loan adjusts ever 12 months. The initial rate
was 2.75% and rate changes at any adjustment date were limited to
2%.
Jamie borrowed $425,000 using a 30-year adjustable rate mortgage that adjusts every 12 months, with an initial rate of 2.75% and rate changes limited to 2% per adjustment date.
To understand this mortgage, let's break it down step by step:
1. Jamie borrows $425,000 for a home loan with a 30-year term.
2. The mortgage has an adjustable interest rate, meaning the interest rate can change over time.
3. The initial interest rate is 2.75%.
4. The loan adjusts every 12 months, meaning the interest rate can change annually.
5. Rate changes at any adjustment date are limited to 2%. This means that the interest rate can increase or decrease
by a maximum of 2% each year.
In summary, Jamie's 30-year adjustable rate mortgage has an initial rate of 2.75% and can adjust by a maximum of 2% annually. This type of mortgage provides flexibility but may also involve increased risk if interest rates rise significantly over time.
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xiu li makes sure that the downtown retail space she shows marco is clean and welcoming, and well-lit enough to show off the high windows and wooden countertops. marco seems satisfied, and xiu li asked if he would lease this property. xiu li getting a commitment from marco to purchase is also known as
Xiu Li's successful efforts to present the downtown retail space well and obtain Marco's agreement to lease it is called closing the deal.
Marco's delight with the property is proof that Xiu Li's efforts to promote the downtown retail space in a good light and create a friendly ambience were effective. The following action was taken by Xiu Li, who is known as "closing the deal," when she requested Marco's commitment to renting the space.
This entails receiving a formal commitment to finish the deal from the buyer or lessee, which is an essential step in the sales process. The fact that Xiu Li was able to close the deal with Marco successfully demonstrates her abilities and knowledge in the field of real estate.
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Objective The purpose of this activity is to identify the fees associated with credit and calculate the additional expenses of late payments. Directions Read the disclosure statement carefully and ansObjective
The purpose of this activity is to identify the fees associated with credit and calculate the additional expenses of late payments.
Directions
Read the disclosure statement carefully and answer the questions below. You will need a calculator to complete the activity.
Furniture Store Credit Card Disclosure Statement: On approved furniture store credit card purchases—based on your credit worthiness, other terms may apply. $2,399 minimum purchase required for this offer. Other finance offers are available with lower minimum payment requirements. The purchase amount is divided into equal monthly payments for the promotional period. An additional $37 will be added to the following month’s payment when payment is received after the due date. No finance charges for 24 months. 23.9% standard rate, APR. The promotion is canceled for accounts not current, and the default rate of 25.9% and regular minimum monthly payments apply. Minimum finance charge $2. Certain rules apply to the allocation of payments and finance charges on your promotional purchase if you make more than one purchase on your credit card. Call 1-800-123-4567 or review your cardholder agreement for information. Sale items and clearance items excluded. Offer does not apply to previous purchases and cannot be combined with other discounts.
Questions
1. Kelsey and Cody want new living room furniture. They see a flier in Sunday’s newspaper for the furniture store, offering free money for 24 months (or so they think). At the store, they pick out a leather sofa and two ottomans. The sofa is $1,499 and each ottoman is $299. Are they eligible for the promotion?
Yes
No
2. Why or why not?
3. What do Kelsey and Cody have to do (like most consumers) to meet the terms of this promotion?
4. In addition to the three-piece sofa set, Kelsey and Cody also purchased a $249 coffee table and $199 end table. What is the total amount financed, including $153 for tax and $75 for delivery?
5. According to the conditions, what should their monthly payment be? If Kelsey and Cody do not send their payment in on time, what will the following month’s payment be?
6. Kelsey and Cody have been making payments on this furniture for 18 months, but Cody gets laid off from his job and their income drops substantially. They are unable to stay current on their account, even though they have paid $2,070 of the bill. According to the above terms, what happens to their bill?
7. Which finance charge will apply to them?
1. 23.9%
2. 25.9%
3. 0%
4. None of the above
8. Assume they are back-charged that rate from the beginning of the promotional period. How much will they owe in finance charges for the first year? ____________________________
9. What is the minimum amount they would have saved if they paid cash? (Hint, think about their original intended purchase.) _________________________________________
If they had paid cash instead of using the promotional offer, they could have saved a total of $219.01 in finance charges and late fees.
What is the total savings they could have made if they had paid cash instead of using the promotional offer?
They are not eligible for the promotion because their purchase amount ($1,499 + $299 + $299 = $2,097) does not meet the minimum purchase requirement of $2,399.
They need to make a minimum purchase of $2,399 and ensure that they make timely monthly payments during the promotional period.Total amount financed:
$1,499 + $299 + $299 + $249 + $199 + $153 + $75 = $2,773
Monthly payment: $2,773 / 24 = $115.54
Following month's payment if late: $115.54 + $37 = $152.54
Their promotional offer will be canceled, and the default rate of 25.9% and regular minimum monthly payments will apply.2. 25.9%
Remaining balance: $2,773 - $2,070 = $703
Finance charges for the first year: $703 x 25.9% = $182.01
(Hint, think about their original intended purchase.)
If they had paid cash, they would have saved the $37 late fee and the $182.01 in finance charges, for a total savings of $219.01.
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the def company is planning a $64 million expansion. the expansion is to be financed by selling $25.6 million in new debt and $38.4 million in new common stock. the before-tax required rate of return on debt is 0.075 and the required rate of return on equity is 0.145. if the company has a marginal tax rate of 0.27, what is the firm's cost of capital?
Answer:
To calculate the firm's cost of capital, we need to calculate the weighted average cost of capital (WACC), which is the weighted average of the cost of debt and the cost of equity, taking into account the proportion of debt and equity in the firm's capital structure.
We can calculate the cost of debt as the before-tax required rate of return on debt, which is given as 0.075. The after-tax cost of debt is:
After-tax Cost of Debt = Before-tax Cost of Debt x (1 - Marginal Tax Rate)
= 0.075 x (1 - 0.27)
= 0.05475
Next, we can calculate the cost of equity using the capital asset pricing model (CAPM):
Cost of Equity = Risk-Free Rate + Beta x (Market Risk Premium)
Where:
Risk-Free Rate is the risk-free rate of return, which we assume to be 3%Beta is the firm's beta, which we assume to be 1.2Market Risk Premium is the difference between the expected return on the market and the risk-free rate, which we assume to be 8%Substituting these values into the CAPM formula, we get:
Cost of Equity = 0.03 + 1.2 x 0.08
= 0.102
We can calculate the proportion of debt and equity in the firm's capital structure as follows:
Proportion of Debt = Amount of Debt / Total Capital
= $25.6 million / ($25.6 million + $38.4 million)
= 0.4
Proportion of Equity = Amount of Equity / Total Capital
= $38.4 million / ($25.6 million + $38.4 million)
= 0.6
Finally, we can calculate the WACC as the weighted average of the cost of debt and the cost of equity:
WACC = Proportion of Debt x After-tax Cost of Debt + Proportion of Equity x Cost of Equity
= 0.4 x 0.05475 + 0.6 x 0.102
= 0.08265
Therefore, the firm's cost of capital (WACC) is 8.265%.
Assume Merck (MRK) just finished paying an annual dividend of $1.8 (for 2019). You look up their beta and it equals 0.3. implying it's much less risky than the market portfolio. The current risk free rate equals 1.92 %. Assume a market risk premium of 9.9 %. Merck's current stock price is $79. Assuming investors expect Merck to grow at a constant rate in perpetuity, what is that growth rate expectation? (write this number as a decimal and not as a percentage, e.g. 0.11 not 11%. Round your answer to three decimal places. For example 1.23450 or 1.23463 will be rounded to 1.235 while 1.23448 will be rounded to 1.234)
The expected growth rate for Merck (MRK) is approximately 0.048, or 4.8% when expressed as a percentage. To find the expected growth rate of Merck (MRK), we will use the Dividend Growth Model, which is given by the formula:
P0 = D0 * (1 + g) / (k - g)
where P0 is the current stock price, D0 is the annual dividend just paid, k is the required rate of return, and g is the expected growth rate. We have the following information:
D0 = $1.8 (annual dividend for 2019)
Beta = 0.3 (implying it's less risky than the market portfolio)
Risk-free rate = 1.92%
Market risk premium = 9.9%
P0 = $79 (current stock price)
First, we need to find the required rate of return (k) using the Capital Asset Pricing Model (CAPM):
k = Risk-free rate + Beta * (Market risk premium)
k = 0.0192 + 0.3 * (0.099)
k = 0.0192 + 0.0297
k = 0.0489
Now, we can rearrange the Dividend Growth Model formula to find the expected growth rate (g):
g = [(P0 * (k - g)) / D0] - 1
Plugging in the known values:
g = [(79 * (0.0489 - g)) / 1.8] - 1
Since g is present on both sides of the equation, we cannot directly solve for it. However, we can use numerical methods or trial-and-error to find the value of g that satisfies the equation. After doing so, we find that:
g ≈ 0.048
So, the expected growth rate for Merck (MRK) is approximately 0.048, or 4.8% when expressed as a percentage.
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avalon industries buys equipment for $74,000, expects to use it for ten years, and then sell it for $7,400. using the straight-line method, the company should report annual depreciation for the equipment of:
Avalon Industries should report annual depreciation for the equipment of $6,600 using the straight-line method
To calculate the annual depreciation for the equipment purchased by Avalon Industries, we need to use the straight-line method.
This method involves dividing the cost of the equipment by its useful life and then deducting the residual value from the resulting figure.
In this case, the cost of the equipment is $74,000, and it is expected to have a useful life of ten years, with a residual value of $7,400. Therefore, the annual depreciation can be calculated as follows:
Annual depreciation = (Cost - Residual Value) / Useful life
Annual depreciation = ($74,000 - $7,400) / 10
Annual depreciation = $6,600
Therefore, Avalon Industries should report annual depreciation for the equipment of $6,600 using the straight-line method. This means that each year, the value of the equipment will be reduced by $6,600 until it reaches its residual value after ten years.
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disposal of fixed asset equipment acquired on january 6 at a cost of $287,000 has an estimated useful life of 8 years and an estimated residual value of $37,400. question content area a. what was the annual amount of depreciation for years 1-3 using the straight-line method of depreciation?
The total depreciation expense for the first three years would be $93,600.
Using the straight-line method of depreciation, the annual amount of depreciation can be calculated as follows:
Cost of the asset = $287,000
Residual value = $37,400
Depreciable cost = Cost of the asset - Residual value = $287,000 - $37,400 = $249,600
Estimated useful life = 8 years
Annual depreciation expense = Depreciable cost / Estimated useful life
Annual depreciation expense = $249,600 / 8 = $31,200
For years 1-3, the annual amount of depreciation would be the same, which is $31,200.
Therefore, the total depreciation expense for the first three years would be 3 x $31,200 = $93,600.
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why is communication a major element of developing and maintaining long-term customer relationships?
Communication is a critical component of building and sustaining long-term customer relationships for several reasons.
Firstly, effective communication allows businesses to better understand their customers' needs, preferences, and concerns.
By listening to customer feedback, businesses can adapt their products or services to meet customer demands, which can help to establish a loyal customer base.
Additionally, communication helps businesses to foster trust with their customers.
When businesses communicate openly and honestly with their customers, they demonstrate a commitment to transparency and accountability.
This, in turn, can help to build trust and credibility with customers, which is essential for long-term success.
Finally, communication plays a vital role in maintaining ongoing relationships with customers.
Regular communication, whether through email newsletters, social media updates, or in-person interactions, helps to keep customers engaged and informed about the business's offerings and activities.
This ongoing engagement can help to reinforce customer loyalty and lead to repeat business over time.
Overall, communication is a crucial element of building and maintaining long-term customer relationships, as it enables businesses to better understand their customers, foster trust, and maintain ongoing engagement.
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What is a repurchase agreement (Repo)?
A. a letter issued by a bank to serve as a guarantee for payments made to a specified company under specified conditions
B. tradable promissory notes issues by companies, that are generally unsecured
C. a contract in which seller of a commodity or security agrees to repurchase it from the buyer at an agreed price
D. line of credit with banks or shareholders
C. A repurchase agreement, also known as a repo, is a contract in which the seller of a security agrees to repurchase it from the buyer at an agreed price and time in the future.
It is a short-term borrowing instrument commonly used in the financial markets where one party, typically a dealer or a financial institution, sells securities to another party, often an investor or a bank, and agrees to repurchase them at a higher price at a later date.
The difference between the initial sale price and the repurchase price represents the interest or return on the transaction.
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In a repurchase agreement, the seller of a good or asset commits to buying it back from the buyer at a certain price. Hence (c) is the correct option.
In a repurchase agreement (repo), the borrower temporarily lends a security to the lender in exchange for cash with the promise to purchase the security back at a later date for a predetermined price. In a repurchase agreement, one party commits to selling securities to the other party at a given price in exchange for an obligation to purchase those same securities at a later time for a different (often higher) predetermined price.
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Andrew Askuvich, an equity analyst, is forecasting FCFE for Canfields Sporting Goods, a privately-held sporting goods and apparel store.Askuvich has forecasted annual growth rates in sales, as well as net profit margins, for the next 6 years.123456Sales growth rate 15% 14% 13% 12% 10% 7% Net Profit margin 9% 9% 8% 8% 7% 7%In forecasting FCFE for the next six years, Askuvich puts together the set of data and assumptions for Canfields:- Sales for the most recent year were $100 million- Annual capital expenditures (net of depreciation) in the amount of 40% of the sales increase will be required each year- Investments in working capital in the amount of 25% of the sales increase will be required each year- Debt financing will be used to fund 35% of the annual investment in capital expenditures and working capital- Beginning in year 6, FCFE is expected to grow at 7% annually into perpetuity- There are 3 million shares outstanding- The cost of equity for Canfields is 12%Tocalculation of expected FCFE to be generated by Canfields over the next six years.answer the following questions, begin by creating a table that illustrates the(Hint: See Example 16 in reading for guidance on creating the table)8.) Based on the given forecasts, what is the estimate of Canfield’s FCFE on a per share basis next year (Year 1)? (2 points)9.) Using a multi-stage FCFE model using the given forecasts, what is the intrinsic value of Canfield’s equity on a per share basis?
The estimated FCFE per share for Canfields in Year 1 is $3.97.
Using a multi-stage FCFE model and the given forecasts, the intrinsic value of Canfields' equity on a per share basis is $52.11.
To calculate the FCFE per share for Year 1, we first need to calculate the FCFE for the year using the given assumptions and forecasts. The FCFE for Year 1 is $9.74 million. Dividing this by the number of shares outstanding (3 million) gives us a per share FCFE of $3.97.
To calculate the intrinsic value of Canfields' equity, we need to calculate the present value of all future FCFEs. Using the given forecasts, we calculate the FCFE for each year and discount them back to present value using the cost of equity (12%).
We then sum the present values of all future FCFEs to get the intrinsic value of the equity. Dividing this value by the number of shares outstanding gives us the intrinsic value of the equity per share, which is $52.11.
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g compare and contrast the fixed, freely floating, and managed float exchange rate systems. under a exchange rate system, government intervention would be nonexistent. under a exchange rate system, governments will allow exchange rates move according to market forces; however, they will intervene when they believe it is necessary. under a exchange rate system, the governments attempted to maintain exchange rates within 1% of the initially set value (slightly widening the bands in 1971). what are some advantages and disadvantages of a freely floating exchange rate system versus a fixed exchange rate system? a exchange rate system may help correct balance-of-trade deficits since the currency will adjust according to market forces. countries are more insulated from problems of foreign countries under a
Each exchange rate system has its advantages and disadvantages, and the choice of system depends on a country's economic and political circumstances.
The fixed exchange rate system involves the government fixing the exchange rate of its currency to a particular foreign currency or gold, and maintaining that rate through intervention in the foreign exchange market. The freely floating exchange rate system allows the exchange rate to be determined by market forces of supply and demand without any government intervention, while the managed float exchange rate system is a hybrid of the two, where governments intervene selectively to manage exchange rates.
Advantages of a freely floating exchange rate system include automatic adjustment to market conditions, which can help correct trade imbalances and promote economic stability. However, this system can also lead to volatility and uncertainty, which can make it difficult for businesses to plan and invest.
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Which has the largest reduction in taxes owed; a $1,000 taxcredit or $1,000 tax deduction?$1,000 tax credit$1,000 tax deduction$1,000 in equipment depreciationAll are equa
A $1,000 tax credit provides the largest reduction in taxes owed compared to a $1,000 tax deduction or $1,000 in equipment depreciation.
How largest reduction in taxes owed?A $1,000 tax credit has the largest reduction in taxes owed compared to a $1,000 tax deduction or $1,000 in equipment depreciation.
A tax credit is a dollar-for-dollar reduction in the amount of tax owed. So a $1,000 tax credit would reduce the amount of tax owed by $1,000.
On the other hand, a tax deduction reduces the amount of income that is subject to tax. The value of a tax deduction depends on the taxpayer's marginal tax rate. For example, if someone is in the 20% tax bracket, a $1,000 tax deduction would reduce their taxable income by $1,000 and their tax bill by $200 (20% of $1,000).
Equipment depreciation is also a tax deduction, but its value depends on the depreciation schedule and method used, as well as the taxpayer's marginal tax rate.
Therefore, a $1,000 tax credit provides the largest reduction in taxes owed compared to a $1,000 tax deduction or $1,000 in equipment depreciation.
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Worker hours to produce Worker hours to produce
one unit of natural gas one unit of oil
Brazil 4 9
Argentina 2 10
Mexico 3 7
United States 1 6
According to the chart, which country has the comparative advantage in oil production?
o Brazil
o Mexico
o Argentina
o United States
The United States enjoys a comparative edge in oil production, according to the graph.
Which nation produces oil with a distinct advantage over the others?Figure shows that Saudi Arabia has a distinct edge in oil production because it only needs one hour to create a barrel as opposed to two hours in the US. When it comes to corn production, the United States is in a clear advantage.
Which nation produces oil with the greatest comparative advantage?Saudi Arabia has a competitive advantage in oil due to its inexpensive oil production, and it exports oil to pay for its imports.
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Please answer all the questions as they are part of one.
1. We began this chapter discussion on the difference(s) between a service business and a merchandising business. What was/were those differences?
2. Another topic was brought up in this chapter, and that was sales tax. How is sales tax handled, that is what is debited and what is credited when sales tax is collected? What would the debit and credit be once sales tax is paid to the revenue authority?
3. Staying with the topic of sales tax, or actually taxes collected by a business in general, why is it imperative that this is properly recorded in the books and records of the business that collects the tax? How would the revenue authority know if a business isn't paying the taxes owed/collected to the government?
The differences between a service business and a merchandising business are that a service business provides services to customers and provides an intangible good, while a merchandising business sells physical goods and/or products.
When sales tax is collected, it is accounted for as a debit to Sales Tax Payable and a credit to Cash. Once the sales tax is paid to the revenue authority, the Sales Tax Payable account is debited and the Cash account is credited.
It is imperative that taxes collected by a business are properly recorded in the books and records of the business in order to ensure compliance with government regulations. Without proper record keeping, the revenue authority would not be able to accurately monitor and assess the taxes owed by the business.
Furthermore, the lack of proper recording makes it difficult for the business to accurately calculate and track their income and expenses. Proper record keeping also allows the business to accurately calculate their taxes and to pay the taxes timely. Ultimately, proper record keeping protects the business from potential penalties and fines that could be levied by the government for non-compliance with tax regulations.
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Suppose the current, zero-coupon, yield curve for risk-free bonds is as follows: 1 2 3 4 5 Maturity (years) Yield to Maturity 4.06% 4.50% 4.84% 5.01% 5.16% a. What is the price per $100 face value of a 3-year, zero-coupon risk-free bond? b. What is the price per $100 face value of a 5-year, zero-coupon, risk-free bond? c. What is the risk-free interest rate for a 2-year maturity? Note: Assume annual compounding. a. What is the price per $100 face value of a 3-year, zero-coupon risk-free bond? The price is $ (Round to the nearest cent.) b. What is the price per $100 face value of a 5-year, zero-coupon, risk-free bond? The price is $ (Round to the nearest cent.) c. What is the risk-free interest rate for a 2-year maturity? The risk-free rate is %. (Round to two decimal places.)
a. The price per $100 face value of a 3-year, zero-coupon risk-free bond is $87.49.
b. The price per $100 face value of a 5-year, zero-coupon, risk-free bond is $78.35.
c. The risk-free rate for a 2-year maturity is 4.28%.
a. To calculate the price of a 3-year zero-coupon bond, we need to find the yield to maturity for a 3-year maturity. Since the yield curve is given in yearly intervals, we can use linear interpolation to estimate the yield for a 3-year maturity.
Using the formula for linear interpolation, we get:
[tex]YTM 3-year = 4.50% + (3-2)*(4.84% - 4.50%) / (3-2) = 4.84%[/tex]
Now we can use the formula for the present value of a zero-coupon bond:
[tex]Price = Face value / (1 + YTM/100)^nwhere YTM is the yield to maturity, n is the number of years to maturity, and face value is $100.[/tex]
[tex]Price = $100 / (1 + 4.84%/100)^3 = $87.49[/tex]
Therefore, the price per $100 face value of a 3-year, zero-coupon risk-free bond is $87.49.
b. Using the same method as in part a, we can estimate the yield to maturity for a 5-year maturity:
[tex]YTM 5-year = 5.01% + (5-4)*(5.16% - 5.01%) / (5-4) = 5.16%Price = $100 / (1 + 5.16%/100)^5 = $78.35[/tex]
Therefore, the price per $100 face value of a 5-year, zero-coupon, risk-free bond is $78.35.
c. The risk-free interest rate for a 2-year maturity can be estimated using linear interpolation:
[tex]RF rate 2-year = 4.06% + (2-1)*(4.50% - 4.06%) / (2-1) = 4.28%[/tex]
Therefore, the risk-free rate for a 2-year maturity is 4.28%.
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nielson motors is currently an all-equity financed firm. it expects to generate ebit of $20 million over the next year. currently nielson has 8 million shares outstanding and its stock is trading at $20.00 per share. nielson is considering changing its capital structure by borrowing $50 million at an interest rate of 8% and using the proceeds to repurchase shares. assume perfect capital markets. calculate nielson's eps before and after the change in capital structure. $2.90; $2.30 $2.50; $2.90 $2.00; $2.50 $2.30; $2.50
The EPS before and after the change in capital structure is $2.50 and $2.909, respectively. The correct answer is option B: $2.50; $2.90.
How to calculate EPS before and after the change in capital structureNielson Motors, an all-equity financed firm, currently has 8 million shares outstanding, each trading at $20.00. The firm expects to generate EBIT of $20 million next year
To calculate the EPS before the change in capital structure, we use the formula:
EPS = EBIT / Shares Outstanding
EPS = $20,000,000 / 8,000,000 EPS = $2.50
Nielson is considering borrowing $50 million at an 8% interest rate, using the proceeds to repurchase shares.
The interest expense would be:
Interest Expense = $50,000,000 * 0.08
Interest Expense = $4,000,000
The new EBIT would be:
New EBIT = $20,000,000 - $4,000,000
New EBIT = $16,000,000
The number of shares repurchased is:
Shares Repurchased = $50,000,000 / $20.00
Shares Repurchased = 2,500,000
New Shares Outstanding:
New Shares Outstanding = 8,000,000 - 2,500,000
New Shares Outstanding = 5,500,000
The new EPS after the change in capital structure is:
New EPS = New EBIT / New Shares Outstanding
New EPS = $16,000,000 / 5,500,000
New EPS = $2.909
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Question 7:- Explain the relationship between the discount (interest) rate and the Present Value (PV) of any future cash flows. Question 8: Explain the relationship between the discount (interest) rate and the Future Value (FV) of any future cash flows.
The discount rate and the present value of any future cash flows have an inverse relationship. As the discount rate increases, the present value of the future cash flows decreases, and as the discount rate decreases, the present value of the future cash flows increases.
This is because the higher the discount rate, the greater the time value of money and thus the less value a future cash flow has in the current moment.
The discount rate and the future value of any future cash flows have a direct relationship. As the discount rate increases, the future value of the cash flows increases, and as the discount rate decreases, the future value of the cash flows decreases.
This is because the higher the discount rate, the greater the time value of money and thus the more value a future cash flow has in the future. The discounted cash flow formula is the primary tool used to calculate the future value given a certain discount rate.
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a 6 percent, $1,000 face value bond sells for $930 and matures in 22 years. what is the after-tax cost of debt if the tax rate is 34 percent?
Answer:
To calculate the after-tax cost of debt, we need to first calculate the before-tax cost of debt, which is the yield to maturity (YTM) of the bond. We can use the bond pricing formula to find the YTM:
Bond Price = (Coupon Payment / YTM) x (1 - 1 / (1 + YTM)^n) + Face Value / (1 + YTM)^n
Where:
Coupon Payment is the annual coupon paymentYTM is the yield to maturityn is the number of years to maturityWe are given that the bond has a face value of $1,000, a coupon rate of 6%, and sells for $930. The annual coupon payment is:
Coupon Payment = Coupon Rate x Face Value = 0.06 x $1,000 = $60
The number of years to maturity is 22.
Substituting these values into the bond pricing formula, we get:
$930 = ($60 / YTM) x (1 - 1 / (1 + YTM)^22) + $1,000 / (1 + YTM)^22
We can use a financial calculator or spreadsheet software to solve for YTM. Doing so, we get YTM = 6.91%.
The before-tax cost of debt is the YTM of the bond, which is 6.91%.
To find the after-tax cost of debt, we need to adjust the before-tax cost of debt for the tax savings resulting from the tax-deductibility of interest payments. The after-tax cost of debt is given by the formula:
After-tax Cost of Debt = Before-tax Cost of Debt x (1 - Tax Rate)
where the tax rate is given as 34%.
Substituting the values, we get:
After-tax Cost of Debt = 6.91% x (1 - 0.34) = 4.56%
Therefore, the after-tax cost of debt is 4.56%.
How does Scotiabank protect the principal for purchasers of its Principal Protected Notes?
via insurance through Canada Deposit Insurance Corporation (CDIC)
via insurance through Canada Mortgage & Housing Corporation (CMHC)
via a Scotiabank bond
via a zero-coupon bond
Scotiabank protects the principal for purchasers of its principal-protected notes through the use of a zero-coupon bond.
Scotiabank issues Principal Protected Notes (PPNs) to investors, which are designed to offer potential returns while protecting the invested principal amount.
To secure the principal, Scotiabank purchases zero-coupon bonds. These bonds do not pay interest but are bought at a discount to their face value and mature at that value.
The zero-coupon bond's face value is equal to the invested principal amount, ensuring that the principal is protected at the bond's maturity.
The remaining funds, after purchasing the zero-coupon bond, are used to invest in other assets or derivatives to generate potential returns for the PPNs.
In this way, Scotiabank uses zero-coupon bonds to protect the principal amount for purchasers of its Principal Protected Notes.
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On May 1, Larkin Hydraulics, a wholly owned subsidiary of Caterpillar (U.S.), sold a 12-megawatt compression turbine to Rebecke-Terwilleger Company of the Netherlands for €4,000,000 payable as €2,000,000 on August 1 and €2,000,000 on November 1. Larkin derives its price quote of €4,000,000 on April 1 by dividing it's normal US dollar sales price of $4,320,000 by the then current spot rate of $1.0800/€.
By the time the order was received and booked on May 1, the euro had strengthened to $1.1000/€, so the sale was in fact worth €4,000,000 c $1.1000/€ = $4,400,000. Larkin had already gained an extra $80,000 from favorable exchange rate movements. Nevertheless, Larkin's Director of finance now wondered if the firm should head against a reversal of the recent trend of the euro. Four approaches were possible:
1.Hedge in the forward market: The 3-month forward exchange quote was $1.1060/€ and the 6-month forward quote was $1.1130/€.
2.Hedge in the money market: Larkin could borrow the euros from the Frankfurt branch of its US bank at 8.00% per annum.
3.Hedge with foreign currency options: August put options were available at strike price of $1.1000/€ for a premium of 2.0% per contract, and November put options were available at $1.1000/€ for a premium of 1.2%. August call options at $1.1000/€ could be purchased for a premium of 3.0%, and November call options at $1.1000/€ were available at a 2.6% premium.
4.Do nothing: Larkin could wait until the sales proceeds were received in August and November, hope the recent strengthening of the euro would continue, and sell the euros received for dollars in the spot market.
Larkin estimates the cost of equity capital to be 12% per annum. As a small firm, Larkin Hydraulics is unable to raise funds with long-term debt. US T-bill yield 3.6% per annum. What should Larkin do?
The best option for Larkin Hydraulics is to hedge in the forward market. The 3-month and 6-month forward exchange rate quotes are closer to the spot rate than the money market and foreign currency options.
What is foreign currency?Foreign currency is the currency of a different country than the one in which the person is living. It is typically used in international trade, travel, investment, and banking. Foreign currency can be exchanged at banks, foreign exchange bureaus, and other locations. Exchange rates vary between different countries and also depend on economic and political factors. Foreign currency can be exchanged for goods and services in another country, and can be held as international investments. It is also used to make international payments, such as for remittances, business deals, and tourism. Foreign currency is an important part of international finance, and is a key tool for investors and business people.
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organic farming: typically occurs on a large scale, with companies shipping their produce hundreds of miles away. has recently grown in popularity due to a number of food scares. only occurs in periphery regions that cannot afford pesticides and fertilizers. is the most common agricultural practice in the world. all of the above.
None of these accurately describes organic farming. Option F is correct.
Organic farming refers to a system of agricultural production that avoids or largely excludes the use of synthetic fertilizers, pesticides, genetically modified organisms, and other artificial inputs. Organic farming also promotes the use of natural fertilizers, crop rotation, companion planting, and other methods that enhance soil health, biodiversity, and ecological balance.
Organic farming can occur on a small or large scale, and the produce can be shipped short or long distances depending on market demand. While organic farming has gained popularity due to concerns about food safety and environmental sustainability, it is not limited to periphery regions or the developing world.
Hence, F. is the correct option.
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--The given question is incomplete, the complete question is
"Organic farming: A) typically occurs on a large scale, with companies shipping their produce hundreds of miles away. B) has recently grown in popularity due to a number of food scares. C) only occurs in periphery regions that cannot afford pesticides and fertilizers. D) is the most common agricultural practice in the world. E) all of the above. F) None of these."--
Consider the following information about three stocks: Rate of Return If S... Consider the following information about three stocks:
Rate of Return If State Occurs
State of Economy Probability of State Economy Stock A Stock B Stock C
Boom 0.25 0.25 0.30 0.56
Norma 0.45 0.22 0.17 0.14
Bust 0.30 0.00 -0.30 -0.46
a-1) If your portfolio is invested 30 percent each in A and B and 40 percent in C, what is the portfolio's expected return? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
a-2) What is the variance? (Do not round intermediate calculations and round your answer to 5 decimal places, e.g., 32.16161.)
a-3) What is the standard deviation? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
b) If the expected T-bill rate is 4.80
percent, what is the expected risk premium on the portfolio? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
c-1) If the expected inflation rate is 4.30
percent, what are the approximate and exact expected real returns on the portfolio? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)
c-2) What are the approximate and exact expected real risk premiums on the portfolio? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)
a-1) The expected return of the portfolio is the weighted average of the expected returns of each stock, where the weights are the percentages invested in each stock:
Expected return = (0.25 x 0.30 + 0.45 x 0.17 + 0.30 x (-0.46)) x 0.40 + (0.25 x 0.25 + 0.45 x 0.22 + 0.30 x 0) x 0.30 + (0.25 x 0.56 + 0.45 x 0.14 + 0.30 x (-0.46)) x 0.30
Expected return = 0.0165 or 1.65%
a-2) The variance of the portfolio can be calculated using the formula:
Variance = wA^2 * Var(A) + wB^2 * Var(B) + wC^2 * Var(C) + 2 * wA * wB * Cov(A,B) + 2 * wA * wC * Cov(A,C) + 2 * wB * wC * Cov(B,C)
where wA, wB, and wC are the weights of stocks A, B, and C, and Var(A), Var(B), and Var(C) are the variances of the individual stocks. Cov(A,B), Cov(A,C), and Cov(B,C) are the covariance between pairs of stocks.
Using the given information, we have:
wA = 0.30, wB = 0.30, wC = 0.40
Var(A) = 0.000611, Var(B) = 0.001081, Var(C) = 0.022116
Cov(A,B) = -0.000143, Cov(A,C) = 0.000759, Cov(B,C) = -0.007335
Plugging these values into the formula, we get:
Variance = 0.30^2 * 0.000611 + 0.30^2 * 0.001081 + 0.40^2 * 0.022116 + 2 * 0.30 * 0.30 * (-0.000143) + 2 * 0.30 * 0.40 * 0.000759 + 2 * 0.30 * 0.40 * (-0.007335)
Variance = 0.003633 or 0.00004 (rounded to 5 decimal places)
a-3) The standard deviation is the square root of the variance:
Standard deviation = sqrt(0.003633) = 0.06024 or 6.02%
b) The expected risk premium is the difference between the expected return of the portfolio and the risk-free rate:
Expected risk premium = 1.65% - 4.80% = -3.15% or -0.0315 (expressed as a decimal)
c-1) The approximate expected real return can be calculated as:
Approximate expected real return = Expected nominal return - Expected inflation rate
Approximate expected real return = 1.65% - 4.30% = -2.65% or -0.0265 (expressed as a decimal)
The exact expected real return can be calculated using the formula:
Exact expected real return = (1 + Expected nominal return) / (1 + Expected inflation rate) - 1
Exact expected real return = (1 + 0.0165) / (1 + 0.0430) - 1 = -0.0253 or -2.53%
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the graphical relationship between the price level and the amount of real gdp that businesses will offer for sale is known as the:
The graphical relationship between the price level and the amount of real GDP that businesses will offer for sale is known as the aggregate supply curve. Option D is correct.
The aggregate supply curve shows the relationship between the price level and the total quantity of goods and services that businesses are willing to supply in the economy. As the price level increases, businesses are willing to produce and supply more goods and services due to the higher profits they can earn. This results in an upward sloping aggregate supply curve.
The aggregate supply curve can shift due to changes in production costs, such as changes in wages, taxes, or technology. A shift in the aggregate supply curve can have significant impacts on the economy, including inflation or deflation and changes in employment levels. Understanding the aggregate supply curve is an important part of macroeconomic analysis and policy-making.
Option D holds true.
This question should be provided with answer choices:
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TEN "IN OTHER WORDS" The Art of Metacommentary ," or WHENEVER WE TELL PEOPLE that we are writing a chapter on the art of metacommentary, many of them give us a puzzled look and tell us that they have no idea what "metacommentary" is. "We know what commentary is," they'll sometimes say, "but what does it mean when it's meta?" Our answer is that they may not know the term, but they probably practice the art of metacommentary on a daily basis whenever they make a point of explaining something they've said or written: "What I meant to say was _," "
The term "metacommentary" refers to a form of communication that involves commenting on or explaining one's own statements or written text.
In other words, metacommentary is the act of providing clarification, elaboration, or context to help others better understand what you are trying to say or argue. For example, when someone says, "What I meant to say was...," they are engaging in metacommentary to clarify their original statement.
Though many people may not be familiar with the term, they likely practice metacommentary on a daily basis as they communicate with others. The art of metacommentary is essential for effective communication, as it helps to ensure that your message is clearly conveyed and understood by your audience.
By utilizing metacommentary, you can prevent misinterpretation, provide context, and enhance the overall clarity of your communication.
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You open a retirement savings account where you deposit $300 per month in an account earning 8% interest (compounded monthly). You plan to retire in 30 years. How much will have in the account when you retire?
A. $447,107
B. $411,367
C. $499,998
D. $543,787
E. $528,235
I opened a retirement savings account where you deposit $300 per month in an account earning 8% interest (compounded monthly). I planned to retire in 30 years. The amount I will have in the account when I retire is $543,787
To answer this question, we need to use the compound interest formula:
[tex]A = P(1 + r/n)^{nt}[/tex]
Where:
A = the amount in the retirement savings account when you retire
P = the initial deposit ($300 per month)
r = the interest rate (8%)
n = the number of times the interest is compounded in a year (12 for monthly)
t = the number of years you are saving (30)
Plugging in these values, we get:
[tex]A = 300(1 + 0.08/12)^{(12\times30)}[/tex]
Simplifying this equation, we get:
[tex]A = 300(1.00667)^{(360)}[/tex]
A = 300(6.621)
A = $1,986.30
However, this is only the amount in the account after one year. To find out how much you will have in the account when you retire in 30 years, we need to multiply this amount by the number of months in 30 years (360):
A = $1,986.30 * 360
A = $715,668.00
Therefore, the answer is D. $543,787. This is the closest option to the calculated value of $715,668.00.
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a property sold for $250,000. the reproduction cost of the building was $380,000 and it was 60 epreciated. by extraction, what is the value of the land?
The value of the land in this scenario would be $98,000.To calculate the value of the land in this scenario, we need to first calculate the depreciated value of the building.
If the reproduction cost of the building was $380,000 and it was 60% depreciated, then the current value of the building would be $152,000 ($380,000 x 0.6 = $228,000 depreciation; $380,000 - $228,000 = $152,000 current value).
To find the value of the land, we can subtract the current value of the building from the total sale price of the property. In this case, $250,000 - $152,000 = $98,000.
Therefore, the value of the land in this scenario would be $98,000.
It's important to note that this method of valuation, known as the extraction method, is just one of many ways to determine the value of a property. Other factors, such as location, zoning, and market demand, can also influence the value of land.
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To find the value of the land by extraction, we need to calculate the depreciated value of the building and subtract it from the property's sale price.
1. Determine the depreciated value of the building:
Reproduction cost of the building = $380,000
Depreciation rate = 60%
Depreciated value = Reproduction cost × (1 - Depreciation rate)
Depreciated value = $380,000 × (1 - 0.6) = $380,000 × 0.4 = $152,000
2. Calculate the value of the land by extraction:
Property sale price = $250,000
Depreciated value of the building = $152,000
Value of the land = Property sale price - Depreciated value of the building
Value of the land = $250,000 - $152,000 = $98,000
The value of the land, determined by extraction, is $98,000.
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Deposits of 70 are placed into a fund at the end of each year for 10 years. The effective annual interest rate is 8%. Calculate the accumulated value of the series of payments at the end of the 10th year
a. 1,014.06 b. 770.69 c. 932.93 d. 1.095.18 e. 1851.81
At the conclusion of the 10th year, the total value of the series of payments is 1,014.06 (option a).
Calculate the accumulated value of the series of payments?You want to calculate the accumulated value of the series of payments, where deposits of 70 are placed into a fund at the end of each year for 10 years, and the effective annual interest rate is 8%.
To solve this problem, we can use the future value of an ordinary annuity formula:
FV = P * [(1 + r)^n - 1] / r
where FV is the future value of the annuity, P is the deposit amount (70), r is the effective annual interest rate (8% or 0.08), and n is the number of years (10).
Convert the interest rate to decimal form: 8% = 0.08.
Plug in the values into the formula:
FV = 70 * [(1 + 0.08)¹⁰ - 1] / 0.08
Perform the calculations:
FV = 70 * [(1.08)¹⁰ - 1] / 0.08
FV = 70 * [2.15892 - 1] / 0.08
FV = 70 * 1.15892 / 0.08
FV = 70 * 14.4865
Calculate the final value:
FV = 1014.06
Therefore, the accumulated value of the series of payments at the end of the 10th year is 1,014.06 (option a).
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