a. Beta A = (31%-3.0%)/(20%-8%) = 2.8; Beta D = (14%-4.8%)/(20%-8%) = 0.7
b. Expected rate of return on A = 0.5(3.0%) + 0.5(31%) = 17.00%; Expected rate of return on D = 0.5(4.8%) + 0.5(14%) = 9.40%
c. Alpha A = 17.00% - [7% + 2.8(8%-7%)] = 6.36%; Alpha D = 9.40% - [7% + 0.7(8%-7%)] = 2.03%
a. To find the betas of each stock, we use the formula for beta: (return on stock - risk-free rate) / (return on market - risk-free rate). Beta A = (31%-3.0%) / (20%-8%) = 2.8; Beta D = (14%-4.8%) / (20%-8%) = 0.7.
b. To find the expected rate of return on each stock, we use the formula: expected rate of return = probability of high return * high return + probability of low return * low return. For stock A, expected rate of return = 0.5(3.0%) + 0.5(31%) = 17.00%; for stock D, expected rate of return = 0.5(4.8%) + 0.5(14%) = 9.40%.
c. To find the alphas of each stock, we use the formula: alpha = actual return - [risk-free rate + beta * (market return - risk-free rate)]. For stock A, alpha = 17.00% - [7% + 2.8(8%-7%)] = 6.36%; for stock D, alpha = 9.40% - [7% + 0.7(8%-7%)] = 2.03%.
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Cost of exhibition catalogues. A catalogue for each exhibitionwill cost £5,000 to produce. The catalogue for the first exhibitionwill have been paid for in December out of Caroline’s remaining£10,000. The catalogues for the second and third exhibitions will also be paid for one month in advance.Gallery premises costs. Business rates are to be paid monthly; the cost is £750 per month. Electricity costs will average out at £60 per month and Caroline expects to receive a bill for the first three months' electricity in March, and to pay it in April.Wages. Caroline will pay a part time assistant £550 per month.Other expenses. Caroline estimates that a total of £1,000 in other expenses will be paid each month.Drawings. She plans to draw £700 per month in cash.Private view expenses. In each of the three months Caroline will have to spend an estimated £450 on buying in wine and other refreshments for the private view. This figure also includes the cost of hourly-paid waiting staff to take drinks round to guests.Advertising. The initial round of press adverts will appear in December, and the £3,000 cost will be paid for out of Caroline’s remaining £10,000. Each month £400 will be paid for brochures and postage costs to send out to people on the gallery’s mailing list.The bank balance at 1 January 20X4 will be £2,000 after advertising and catalogue costs have been paid for. The advertising and catalogue costs form part of Caroline’s start-up capital.The gallery premises are to be depreciated over 25 years on the straight-line basis, with an assumption of nil residual value.Prepare for Caroline:a budget cash flow statement for the three months of January, February and March 20X4a budget statement of profit or loss for the three months ending 31 March 20X4a budget statement of financial position at 31 March 20X4 and:briefly discuss whether or not you think Caroline’s business is going to be successful, identifying any areas where cash flow might be a problem
Budget cash flow statement:
January:
Inflow: None
Outflow: Business rates (£750), Electricity (£60), Wages (£550), Other expenses (£1,000), Drawings (£700), Private view expenses (£450), Brochures and postage (£400), Catalogue for second exhibition (£5,000)
Total outflow: £8,910
Net cash flow: -£8,910
February:
Inflow: None
Outflow: Business rates (£750), Electricity (£60), Wages (£550), Other expenses (£1,000), Drawings (£700), Private view expenses (£450), Brochures and postage (£400), Catalogue for third exhibition (£5,000)
Total outflow: £8,910
Net cash flow: -£8,910
March:
Inflow: None
Outflow: Business rates (£750), Electricity (£60), Wages (£550), Other expenses (£1,000), Drawings (£700), Private view expenses (£450), Brochures and postage (£400)
Total outflow: £3,910
Net cash flow: -£3,910
Budget statement of profit or loss:
Total revenue: None
Total expenses: Catalogues (£15,000), Business rates (£2,250), Electricity (£180), Wages (£1,650), Other expenses (£3,000), Private view expenses (£1,350), Advertising (£3,000), Brochures and postage (£1,200)
Net loss: £27,630
Budget statement of financial position at 31 March 20X4:
Assets: None
Liabilities: None
Equity: Start-up capital (£20,000), Net loss (£27,630)
Total equity: -£7,630 (Negative)
Caroline’s business appears to be facing cash flow problems. Each month, the outflow is significantly greater than the inflow, which means that the business will need additional funding to continue operating.
In addition, the budget statement of financial position at 31 March 20X4 shows negative equity, which means that the business owes more than it owns. Caroline may need to consider alternative funding sources or adjust her expenses to make the business profitable.
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A company just paid a dividend of $2.89 per share. Dividends are expected to grow at a rate of 2% per year into the foreseeable future. An investor believes that given the riskiness of this investment that the appropriate rate of return is 12%. What is the most this investor should be willing to spend (intrinsic value) for a share of this common stock?
The most this investor should be willing to spend (intrinsic value) for a share of this common stock is $29.478.
To calculate the intrinsic value of a share of this common stock, we will use the Gordon Growth Model (Dividend Discount Model). The terms included in this calculation are dividend, growth rate, and required rate of return. Here is the step-by-step explanation:
1. Dividend (D0): The company just paid a dividend of $2.89 per share.
2. Growth Rate (g): Dividends are expected to grow at a rate of 2% per year.
3. Required Rate of Return (k): The investor believes that the appropriate rate of return is 12%.
Now, we can calculate the intrinsic value using the Gordon Growth Model formula: Intrinsic Value = (D0 * (1 + g)) / (k - g)
Plugging in the values, we have,
Intrinsic Value = (2.89 * (1 + 0.02)) / (0.12 - 0.02)
Intrinsic Value = (2.89 * 1.02) / 0.1
Intrinsic Value = 2.9478 / 0.1
Intrinsic Value = $29.478
So, the most this investor should be willing to spend for a share of this common stock is $29.478.
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The investor should be willing to spend up to $32.11 for a share of this common stock.
To determine the intrinsic value of the stock, we can use the dividend discount model, which calculates the present value of future dividends. The formula for this model is:
D / (r - g) equals intrinsic value
Where:
D is the current share dividend.
r is the required rate of return for the investor.
g is the anticipated yearly dividend growth rate.
Plugging in the given values, we get:
Intrinsic value = 2.89 / (0.12 - 0.02) = $32.11
Therefore, the investor should be willing to spend up to $32.11 for a share of this common stock.
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eBook Problem Walk Through Holt Enterprises recently paid a dividend, Do, of $3.50. It expects to have nonconstant growth of 12% for 2 years followed by a constant rate of 6% thereafter . The firm's required return is 10% a. How far away is the horizon date? 1. The terminal, or horizon, date is Year since the value of a common stock is the present value of all future expected dividends at time zero II. The terminal, or horizon, dat is the date when the growth rate becomes nonconstant. This occurs at time zero. 111. The terminal, or hottron, date is the date when the growth rate becomes constant. This occurs at the beginning of Year 2 IV. The terminal, or horizon, date is the date when the growth rate becomes constant. This occurs at the end of your V. The terminal, or horizon, dat is Infinity since common stocks do not have a maturity date Select . What is the firm's horton, of continuino, value? Do not round Intermediate calculations. Round your answer to the nearest $ What is the he's intrinske volion today. Part round intermediate calculations. Round your wwwer to that comest cent
To determine the horizon date, we need to identify when the growth rate becomes constant. We are told that the company will have nonconstant growth of 12% for two years, followed by constant growth of 6%. Therefore, the horizon date is the end of Year 2, when the growth rate becomes constant.
To calculate the horizon value, we need to calculate the dividends for Year 1, Year 2, and all subsequent years. Since the growth rate is nonconstant for the first two years, we need to use the two-stage dividend growth model.
The formula for the two-stage dividend growth model is:
P0 = (D1 / (1 + r)^1) + (D2 / (1 + r)^2) + (D2 * (1 + g2) / (r - g2)) / (1 + r)^2
Where:
P0 = Intrinsic value of the stock today
D1 = Dividend expected in Year 1
D2 = Dividend expected in Year 2
r = Required rate of return
g1 = Growth rate for the first stage (nonconstant growth)
g2 = Growth rate for the second stage (constant growth)
We are given that the current dividend is $3.50, and the growth rate for the first two years is 12%. Therefore:
D1 = $3.50 * (1 + 0.12) = $3.92
D2 = $3.92 * (1 + 0.12) = $4.38
We are also given that the required return is 10%, the growth rate for the second stage is 6%, and the horizon date is the end of Year 2.
Therefore:
r = 10%
g2 = 6%
n = 2
Using these values, we can calculate the horizon, or continuing, value:
Continuing value = D3 * (1 + g2) / (r - g2) = $4.38 * (1 + 0.06) / (0.10 - 0.06) = $139.56
Now we can use the two-stage dividend growth model to calculate the intrinsic value of the stock today:
P0 = (D1 / (1 + r)^1) + (D2 / (1 + r)^2) + (Continuing value / (1 + r)^2)
P0 = ($3.92 / 1.1) + ($4.38 / 1.1^2) + ($139.56 / 1.1^2) = $124.15 (rounded to the nearest dollar)
Therefore, "the intrinsic value of the stock today is $124.00."
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Suppose you just purchased a 6 year. $1.000 par value bond. The coupon rate on this bond is 9% annually, with interest being paid semi-annually. If you expect to earn a 11% rate of return on this bond, how much did you pay for it? (Round your answer to two decimal point)
The answer is $1,073.64.
To calculate the price of the bond, we need to discount the future cash flows (coupon payments and par value) at the required rate of return of 11%. Since the bond pays semi-annual coupons, we need to use a semi-annual discount rate of 5.5%.
Using the bond pricing formula, we can calculate the price of the bond as follows:
Price = (C/2)/(1 + r/2) + (C/2)/(1 + r/2)^2 + ... + (C/2)/(1 + r/2)^11 + (FV)/(1 + r/2)^12
Where:
C = coupon payment = 9% x $1,000 / 2 = $45
r = required rate of return = 11% / 2 = 5.5%
FV = par value = $1,000
Plugging in the values, we get:
Price = ($45/1.055) + ($45/1.055^2) + ... + ($45/1.055^11) + ($1,000/1.055^12)
Price = $531.69 + $497.96 + ... + $318.57 + $523.04
Price = $5,903.12 / 5.5
Price = $1,073.64 (rounded to two decimal points)
Therefore, the price paid for the bond is $1,073.64.
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Suppose you see a put option on the Swiss Franc (CHF) with a strike price of $1.065 and a premium of $0.014. If, at maturity, the exchange rate is $1.060/CHF, what is the profit from a put covering 20,000 CHF?
With an exchange rate of $1.060/CHF at maturity and a put option covering 20,000 CHF with a strike price of $1.065 and a premium of $0.014, the profit is $100.
If the exchange rate at maturity is $1.060/CHF and the strike price is $1.065, then the option is in-the-money as the exchange rate is below the strike price. This means the option holder has the right to sell 20,000 CHF at the strike price of $1.065.
To calculate the profit, we need to subtract the strike price from the exchange rate and multiply it by the number of CHF covered by the put option. So, the profit would be:
Profit = (Strike price - Exchange rate) x Number of CHF
Profit = ($1.065 - $1.060) x 20,000
Profit = $0.005 x 20,000
Profit = $100
Therefore, the profit from a put option covering 20,000 CHF at a strike price of $1.065 and a premium of $0.014, with an exchange rate of $1.060/CHF at maturity, is $100.
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question content areathomlin company forecasts that total factory overhead for the current year will be $15,500,000 with 250,000 total machine hours. year to date, the actual factory overhead is $16,000,000 and the actual machine hours are 330,000 hours. the predetermined factory overhead rate based on machine hours isa.$62 per machine hourb.$50 per machine hourc.$48 per machine hourd.$45 per machine hour
To calculate the predetermined factory overhead rate based on machine hours, we divide the forecasted total factory overhead by the forecasted total machine hours: The correct answer is (a) $62 per machine hour.
$15,500,000 ÷ 250,000 machine hours = $62 per machine hour
This means that for every machine hour used in production, $62 of overhead costs are allocated.
Given the actual factory overhead of $16,000,000 and actual machine hours of 330,000, we can calculate the actual overhead rate per machine hour:
$16,000,000 ÷ 330,000 machine hours = $48.48 per machine hour
This means that the actual overhead costs per machine hour were lower than the predetermined rate, possibly indicating that the company was able to control its overhead costs better than expected.
Therefore the correct answer is a. $62 per machine hour.
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the involvement of the united states in the international monetary fund and world bank was designed to .
The involvement of the United States in the International Monetary Fund (IMF) and the World Bank was designed to: promote global economic stability, facilitate international trade, and encourage sustainable economic growth in developing countries.
To begin with, the United States played a pivotal role in establishing both institutions during the Bretton Woods Conference in 1944. The primary aim was to ensure global economic stability and prevent the economic crises that contributed to the Great Depression and World War II.
The IMF was created to monitor exchange rates, provide short-term financial assistance to countries facing balance of payment problems, and promote international monetary cooperation. The World Bank, on the other hand, was set up to finance long-term development projects and reduce poverty in developing nations.
Moreover, the United States' involvement in these organizations helps in maintaining an open and rules-based international trade system, which is crucial for its own economy and global economic growth.
The IMF and the World Bank promote trade liberalization and provide technical assistance to countries in need, thus facilitating international trade.
Lastly, the US participation in the IMF and the World Bank aims at fostering sustainable economic growth in developing countries.
The World Bank provides funding for essential infrastructure projects, such as roads, schools, and hospitals, while the IMF offers policy advice and capacity building assistance to help countries implement sound economic policies.
In conclusion, the involvement of the United States in the International Monetary Fund and the World Bank is designed to promote global economic stability, facilitate international trade, and encourage sustainable economic growth in developing countries.
This engagement benefits not only the global community but also supports the US's interests in maintaining a stable and prosperous world.
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Megan borrows money at an annual effective interest rate of 5%. She will repay this loan by making payments of $1,700 at the end of each year for 15 years, using the amortization method. Calculate the amount of interest paid in the 4th payment. Solve by hand without the use of a spreadsheet or finance calculator.
The amount of interest paid in the 4th payment is approximately $605.76.
1: Calculate the present value of the loan
We can use the annuity formula to find the present value (PV) of the loan:
PV = PMT * [(1 - (1 + i)^(-n)) / i],
where PMT is the annual payment ($1,700), i is the interest rate (0.05), and n is the number of years (15).
PV = 1700 * [(1 - (1 + 0.05)^(-15)) / 0.05]
PV ≈ $14,781.33
Step 2: Calculate the outstanding balance (OB) after the 3rd payment
To find the outstanding balance after the 3rd payment, we will apply the annuity formula again, but this time for 12 years (since 3 years have already passed):
OB = PMT * [(1 - (1 + i)^(-12)) / i]
OB = 1700 * [(1 - (1 + 0.05)^(-12)) / 0.05]
OB ≈ $12,115.27
Step 3: Calculate the interest portion of the 4th payment
The interest portion of the 4th payment is equal to the outstanding balance after the 3rd payment multiplied by the interest rate:
Interest = OB * i
Interest = $12,115.27 * 0.05
Interest ≈ $605.76
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Consider a three-year 10% coupon bond with a face value of $100. Suppose that the yield on the bond is 12% per annum with continuous compounding. . Coupon payments of $5 are made every six months. . What's the price and duration of the bond?
The answer to the question is the price of the bond will change by approximately 2.47%. To calculate the price of the bond, we need to find the present value of all the cash flows from the bond. The coupon payments are semi-annual, so we need to use the semi-annual yield of 6% (12% per annum/2) for discounting. Using the formula for the present value of a bond, we get:
PV = (5/1.06) + (5/1.06^2) + (5/1.06^3) + (105/1.06^3) = $87.35
Therefore, the price of the bond is $87.35.
To calculate the duration of the bond, we need to find the weighted average of the time to receive each cash flow, weighted by the present value of that cash flow. Using the formula for the bond duration, we get:
Duration = [(0.5 x 1/1.06) + (1 x 2/1.06^2) + (1.5 x 3/1.06^3) + (1.5 x 3/1.06^3)] / ($87.35 x 0.06)
Therefore, the duration of the bond is 2.47 years.
Duration is a measure of the sensitivity of the bond price to changes in interest rates. A higher duration means the bond price will be more sensitive to changes in interest rates. In this case, the duration of the bond is 2.47 years, which means that for every 1% change in interest rates, the price of the bond will change by approximately 2.47%.
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a fixed set of characteristics we apply to all members of a group is called (a/n)
A fixed set of characteristics we apply to all members of a group is called a "stereotype."
A stereotype is a simplified and generalized belief about the traits and behaviors of a certain group, where the same characteristics are assigned to all members of that group.
A decent arrangement of qualities that we will generally credit to all gathering individuals is known as a generalization. Preconceptions or beliefs about a group of people based on how they are perceived to belong to that group are called stereotypes. Age, gender, race, ethnicity, religion, profession, or social class are just a few of the many characteristics that can serve as the foundation for these beliefs. Both positive and negative stereotypes are frequently oversimplified, exaggerated, or inaccurate. They can be unsafe on the grounds that they can prompt segregation, bias, and inclination against people dependent exclusively upon their gathering enrollment, as opposed to their singular characteristics and activities.
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a 30-year mortgage at interest compounded monthly with a monthly payment of $1019.35 has an unpaid balance of $10,000 after 350 months. find the unpaid balance after 351 months.
The unpaid balance after 351 months is $137125.79. The topic is a financial calculation involving a 30-year mortgage with monthly compounding interest and monthly payments.
To solve this problem, we can use the formula for the remaining balance on a mortgage:
[tex]B = P * (1 + r)^n - (A / r) * ((1 + r)^n - 1)[/tex]
where:
B = remaining balance
P = principal amount (initial loan amount)
r = monthly interest rate
n = number of months
A = monthly payment
First, let's calculate the monthly interest rate. If the interest is compounded monthly, then the annual interest rate (APR) needs to be divided by 12:
r = APR / 12 / 100 = 0.06 / 12 = 0.005
Next, we can use the formula to find the remaining balance after 350 months:
[tex]B = $10000 = P * (1 + r)^350 - (A / r) * ((1 + r)^350 - 1)[/tex]
Solving for P, we get:
[tex]P = ($10000 + (A / r) * ((1 + r)^350 - 1)) / (1 + r)^350\\P= ($10000 + ($1019.35 / 0.005) * ((1 + 0.005)^350 - 1)) / (1 + 0.005)^350[/tex]
P = $137754.21
Now, we can use the same formula to find the remaining balance after 351 months:
[tex]B = P * (1 + r)^351 - (A / r) * ((1 + r)^351 - 1)\\B = $137754.21 * (1 + 0.005)^351 - ($1019.35 / 0.005) * ((1 + 0.005)^351 - 1)[/tex]
B = $137125.79
Therefore, the unpaid balance after 351 months is $137125.79.
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define the following: what is the equilibrium price of the concerts. what is the equilibrium quantity of the concerts. what is the optimal price of the concerts. what is the optimal quantity of the concerts. is this a positive or a negative externality ? (single word answer-positive or negative) what is the value of the externality ? (number no dollar signs or decimals) what is the proper action to correct the externality: tax or subsidy (tax or subsidy) what is the value of the corrective tax or subsidy applied to correct the externality ?
Equilibrium price of concerts is the price at which the quantity demanded by consumers equals the quantity supplied by producers. Equilibrium quantity of concerts is the quantity that is bought and sold at the equilibrium price.
Optimal price of concerts is the price that maximizes the profit of concert organizers. Optimal quantity of concerts is the quantity that maximizes the profit of concert organizers. This is a negative externality. The value of the externality is the cost imposed on third parties by the noise and congestion generated by the concerts.
To correct the negative externality, a corrective tax can be imposed on the concert organizers, which would increase their cost and reduce the quantity of concerts they supply.
The value of the corrective tax should be equal to the value of the externality, so that the concert organizers will internalize the cost of the externality and take it into account when deciding how many concerts to organize.
The value of the corrective tax should be equal to the difference between the social cost and the private cost of the concerts, which is the cost imposed on third parties by the noise and congestion generated by the concerts.
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Consider the following example: Assume that Hilary Taylor from New Orleans, Louisiana borrows $2,500 for four years at 7% add-on interest to be repaid in 48 monthly installments.
In the given example, Hilary Taylor from New Orleans, Louisiana has borrowed $2,500 for four years at 7% add-on interest. This means that the interest is added to the principal amount and the borrower pays interest on the entire loan amount.
The loan is to be repaid in 48 monthly installments. It is important to note that the add-on interest rate is higher than the simple interest rate, which is calculated on the remaining principal amount. Therefore, Hilary will pay more interest over the life of the loan than if she had taken a loan with a simple interest rate.
happy to help you with your question. In this example, Hilary Taylor from New Orleans, Louisiana borrows $2,500 for four years with a 7% add-on interest. To calculate the total interest, multiply the loan amount by the interest rate and the loan term: $2,500 x 0.07 x 4 = $700. The total amount to be repaid is the sum of the borrowed amount and the interest: $2,500 + $700 = $3,200. Hilary will repay the loan in 48 monthly installments, so to find the monthly payment, divide the total amount by the number of installments: $3,200 / 48 ≈ $66.67.
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Hilary will have to make monthly payments of $66.67 for the next four years to repay the loan.
In the given example, Hilary Taylor from New Orleans, Louisiana has borrowed $2,500 for four years at 7% add-on interest.
The interest rate of 7% add-on means that the interest will be calculated on the original amount borrowed, and not on the outstanding balance after each payment. The loan is to be repaid in 48 monthly installments, which means that Hilary will have to make 48 equal payments over the course of four years.
To calculate the monthly payment, we first need to calculate the total amount of interest that will be charged over the four-year period. The add-on interest rate of 7% means that the total interest charged will be 7% of the original loan amount, multiplied by the number of years, which is four. Therefore, the total interest charged will be:
$2,500 x 7% x 4 = $700
The total amount that Hilary will have to repay will be the original loan amount plus the total interest charged, which is:
$2,500 + $700 = $3,200
To calculate the monthly payment, we divide the total amount to be repaid by the number of monthly payments:
$3,200 / 48 = $66.67
Therefore, Hilary will have to make monthly payments of $66.67 for the next four years to repay the loan. It is important to note that while the monthly payments may seem manageable, the add-on interest rate of 7% means that Hilary will end up paying significantly more in interest over the course of the loan. It is always important to carefully consider the interest rate and repayment terms of any loan before borrowing.
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according to hazlitt, what are the differences between loans provided by government agencies and loans provided by private lenders?
Loans provided by government agencies differ from loans provided by private lenders in source of fund, loan purpose, interest rate, loan eligibility and requirements, risk assessment, and loan repayment.
The differences between loans provided by government agencies and private lenders are as follows:1. Source of Funds: Government agencies use public funds (taxpayer money) to provide loans, while private lenders use private capital from individuals or organizations.
2. Loan Purpose: Government agencies often provide loans to support social and economic development, such as infrastructure projects, education, or healthcare. Private lenders, on the other hand, focus on providing loans for profit-making purposes, such as business expansion, investments, or personal consumption.
3. Interest Rates: Government agencies usually offer loans at lower interest rates compared to private lenders. This is because government loans aim to promote social welfare, while private lenders are profit-driven.
4. Loan Eligibility and Requirements: Government loans typically have more stringent eligibility requirements, targeting specific groups or sectors. Private lenders, however, may have more flexible lending criteria, which can result in a broader range of borrowers.
5. Risk Assessment: Government agencies may be more willing to provide loans to high-risk borrowers, while private lenders focus on the creditworthiness of borrowers to minimize risks.
6. Loan Repayment: Government loans might have more flexible repayment terms, such as longer repayment periods or income-based repayment plans. Private loans usually have stricter repayment terms, which can result in higher monthly payments.
In summary, loans provided by government agencies and private lenders differ in terms of their funding sources, purposes, interest rates, eligibility, risk assessment, and repayment terms. Government loans often focus on promoting social welfare and development, while private loans aim to generate profits for the lender.
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you find a zero coupon bond with a par value of $10,000 and 19 years to maturity. the yield to maturity on this bond is 4.1 percent. assume semiannual compounding periods. what is the dollar price of the bond
The dollar price of a zero coupon bond can be calculated using the present value formula, where the present value is the dollar price of the bond, the future value is the par value of the bond, the interest rate is the yield to maturity, and the number of periods is the total number of compounding periods until maturity.
Using the information given in the question, we know that the par value of the bond is $10,000 and the yield to maturity is 4.1 percent, which is equivalent to 0.041 when expressed as a decimal. The total number of compounding periods until maturity is 19 years multiplied by 2 since we are assuming semiannual compounding periods, which gives us 38 periods.
Using the present value formula, the dollar price of the bond is calculated as follows:
Present value = Future value / (1 + interest rate)^number of periods
Present value = $10,000 / (1 + 0.041/2)^38
Present value = $10,000 / (1.0205)^38
Present value = $10,000 / 1.9668
Present value = $5,075.43
Therefore, the dollar price of the zero coupon bond with a par value of $10,000 and 19 years to maturity and a yield to maturity of 4.1 percent, assuming semiannual compounding periods, is $5,075.43. This means that an investor can purchase the bond for $5,075.43 today and receive the par value of $10,000 at maturity in 19 years.
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consider a bond paying a coupon rate of 11.75% per year semiannually when the market interest rate is only 4.7% per half-year. the bond has two years until maturity. a. find the bond's price today and six months from now after the next coupon is paid.
The bond's price six months from now after the next coupon is paid is $1100.63.
To calculate the bond's price, we need to use the bond pricing formula:
Bond Price = [tex]C / (1 + r)^1 + C / (1 + r)^2 + ... + C / (1 + r)^n + F / (1 + r)^n[/tex]
Where:
C = coupon payment
r = market interest rate
n = number of periods
F = face value of the bond
In this case, the coupon rate is 11.75% per year semiannually, which means the coupon payment is:
C = 11.75% * $1000 / 2 = $58.75
The market interest rate is 4.7% per half-year, which means the semiannual rate is:
r = 4.7% / 2 = 0.0235
The number of periods is 2 years or 4 half-years, and the face value is $1000.
Using the formula, we can calculate the bond price today:
Bond Price = [tex]58.75 / (1 + 0.0235)^1 + $58.75 / (1 + 0.0235)^2 + $58.75 / (1 + 0.0235)^3 + $58.75 / (1 + 0.0235)^4 + $1000 / (1 + 0.0235)^4[/tex]
Bond Price = $1137.36
Therefore, the bond's price today is $1137.36.
To calculate the bond's price six months from now after the next coupon is paid, we need to adjust the formula by one period and subtract the coupon payment:
Bond Price (after 6 months) =[tex]$58.75 / (1 + 0.0235)^2 + $58.75 / (1 + 0.0235)^3 + $58.75 / (1 + 0.0235)^4 + $1058.42 / (1 + 0.0235)^4[/tex]
Bond Price (after 6 months) = $1100.63
Therefore, the bond's price six months from now after the next coupon is paid is $1100.63.
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a/an ________ profile can be developed when a person registers on or buys something from a website. a. vertical b. statistical c. identified d. anonymous
The identified profile can then be used for various purposes, such as personalizing the user's experience on the website, sending targeted marketing emails, or offering tailored product recommendations. The correct answer is C.
When a person registers on a website or makes a purchase, they usually provide personal information such as their name, email address, and sometimes even their physical address or phone number. This information allows the website to create an identified profile for that user. Here's a step-by-step explanation of how an identified profile is created:For more such question on user's experience
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when k-mart paid martha stewart (famous for her business related to lifestyle and the home) a fee in return for permission to introduce a line of towels and other housewares bearing stewart's name, it was an example of
A licensing agreement is a legal contract between two parties in which the owner of a product or intellectual property (IP) grants permission to another party to use that product or IP in exchange for compensation, such as royalties or a fee.
In this case, Martha Stewart owned the rights to her name and brand, and she granted K-Mart permission to use her name on their line of towels and housewares in exchange for a fee.
Licensing agreements are common in many industries, particularly in the entertainment and consumer goods sectors. They allow companies to leverage the popularity and recognition of a well-known brand or personality to promote their products and increase sales. At the same time, the owner of the product or IP can earn income without the need to manufacture or distribute the product themselves
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. Buskirk Construction buys on terms of 2/10, net 50 days. It does not take discounts, and it typically pays on time, 60 days after the invoice date. Net purchases amount to $420,000 per year. On average, how much "free" trade credit does the firm receive during the year? (Assume a 365-day year, and note that purchases are net of discounts.) a. $11,507 b. $12,329 c. $13,389 d. $14,408 e. $15,479
The firm receives free trade credit of $12,329 during the year.
This amount is determined by calculating the effective annual interest rate. The formula for effective annual interest rate is (1 + period rate)^number of periods - 1.
Trade credit terms of 2/10, net 50 is equal to a period rate of 0.2/50 = 0.004. The effective annual interest rate is (1 + 0.004)^365 - 1 = 0.1232 or 12.32%.
Therefore, the amount of free trade credit is $420,000*12.32% = $51,744. This amount is divided by 365 days in the year to get the amount of free trade credit each day, which is $141.81. Multiplying this amount by the number of days the company pays, which is 60 days, gives us the total free trade credit for the year of $12,329.
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Restex has a debt-equity ratio of 0.72, an equity cost of capital of 15%, and a debt cost of capital of 8%. Restex's corporate tax rate is 38%, and its market capitalization is $185 million. a. If Restex's free cash flow is expected to be $10 million one year from now and will grow at a constant rate, what expected future growth rate is consistent with Restex's current market value? b. Estimate the value of Restex's interest tax shield. a. If Restex's free cash flow is expected to be $10 million one year from now and will grow at a constant rate, what expected future growth rate is consistent with Restex's current market value? If Restex's free cash flow is expected to be $10 million in one year, the expected future growth rate is ____%. (Round to two decimal places.) b. Estimate the value of Restex's interest tax shield. Interest tax shield value is $____million. (Round to the nearest million.)
9.46% is the predicted growth rate, in line with Restex's current market value.
The interest tax shield for Restex is worth $8 million (rounded to the nearest million).
a. To determine the expected future growth rate, we can use the Gordon growth model:
Market value = Free cash flow / (Cost of equity - Growth rate)
Rearranging the equation, we get:
Growth rate = Cost of equity - Free cash flow / Market value
Substituting the given values, we get:
Growth rate = 15% - $10 million / $185 million
Growth rate = 9.46%
Therefore, the expected future growth rate consistent with Restex's current market value is 9.46%.
b. The value of Restex's interest tax shield can be calculated using the formula:
Value of interest tax shield = Debt * Cost of debt * (1 - Tax rate)
Substituting the given values, we get:
Value of interest tax shield = 0.72 * $185 million * 8% * (1 - 38%)
Value of interest tax shield = $8.16 million
Therefore, the value of Restex's interest tax shield is $8 million (rounded to the nearest million).
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an investor is in the 30% tax rate and corporate bonds are paying 9%.what must municipals bonds (munis) pay to offer an equivalent after tax yield?
Answer: 6.3%
Explanation: To determine the equivalent after-tax yield for municipal bonds (munis) for an investor in the 30% tax bracket, with corporate bonds paying 9%, you can follow these steps:
1. Identify the investor's tax rate, which is= 30%.
2. Determine the yield on corporate bonds, which is= 9%.
3. Calculate the after-tax yield on corporate bonds by using the formula:
after-tax yield = yield * (1 - tax rate).
4. Plug in the values: after-tax yield =
after tax yield= 9% * (1 - 0.30)
= 9% * 0.70
= 6.3%.
Hence, The equivalent after-tax yield for municipal bonds (munis) must be 6.3% to offer an equivalent after-tax yield for an investor in the 30% tax bracket with corporate bonds paying 9%.
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janet van dyne is in law enforcement and incurred the following transactions last year.sales price purchase price date purchased date soldcisco preferred stock 25,000 6,000 7/15/2012 1/12/2022dreyer's grand ice cream stock 14,000 10,000 7/1/2020 4/20/2022novell common stock 2,000 10,000 2/12/2017 11/29/2022 stock 4,000 3,000 8/2/2008 5/2/2022abc common 6,000 9,000 8/10/2022 8/20/2022abc common 8,000 12/30/2022prior-year st capital loss carryforward (5,500)prior year lt capital loss carryforward (5,000)what is the 2022 end of year overall capital position? be sure to include character and amount. show your work in order toreceive credit (5pts
Janet Van Dyne's 2022 end-of-year overall capital position is therefore a net capital loss of ($10,000).
To calculate Janet Van Dyne's 2022 end-of-year overall capital position, we need to determine her capital gains and losses from the sale of securities during the year.
First, let's determine the gain or loss on each sale:
Cisco preferred stock: Proceeds = $25,000, Basis = $6,000, Gain = $19,000
Dreyer's Grand Ice Cream stock: Proceeds = $14,000, Basis = $10,000, Gain = $4,000
Novell common stock: Proceeds = $2,000, Basis = $10,000, Loss = ($8,000)
Stock: Proceeds = $4,000, Basis = $3,000, Gain = $1,000
ABC common stock (sold 8/20/2022): Proceeds = $6,000, Basis = $9,000, Loss = ($3,000)
ABC common stock (sold 12/30/2022): Proceeds = $8,000, Basis = $12,000, Loss = ($4,000)
Next, let's determine the amount of capital loss carryforward that can be applied to offset these gains and losses:
Prior-year short-term capital loss carryforward: ($5,500)
Prior-year long-term capital loss carryforward: ($5,000)
Since the total gains ($24,000) are less than the total losses ($15,000), we can use the entire amount of both capital loss carry forwards to offset the gains, resulting in a net capital loss of ($10,000).
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Therefore, Janet Van Dyne's 2022 year-end total capital position represents a net capital loss of ($10,000).
We must ascertain Janet Van Dyne's capital gains and losses from the year's securities sales in order to compute her overall capital position at year's end in 2022.
Let's first calculate the gain or loss on each sale:
Cisco preferred stock: Proceeds = $25,000, Basis = $6,000, Gain = $19,000
Dreyer's Grand Ice Cream stock: Proceeds = $14,000, Basis = $10,000, Gain = $4,000
Novell common stock: Proceeds = $2,000, Basis = $10,000, Loss = ($8,000)
Stock: Proceeds = $4,000, Basis = $3,000, Gain = $1,000
ABC common stock (sold 8/20/2022): Proceeds = $6,000, Basis = $9,000, Loss = ($3,000)
ABC common stock (sold 12/30/2022): Proceeds = $8,000, Basis = $12,000, Loss = ($4,000)
Next, let's determine the amount of capital loss carryforward that can be applied to offset these gains and losses:
Prior-year short-term capital loss carryforward: ($5,500)
Prior-year long-term capital loss carryforward: ($5,000+5000 = 10,000)
Due to the fact that the overall losses ($15,000) are less than the total profits ($24,000), we may apply the whole amount of both capital loss carry forwards to balance the gains, resulting in a net capital loss of ($10,000).
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suppose as a hypothetical scenario that you deposit $400 today into a savings account with a variable interest rate and will collect a payment in one year. true or false: if over the course of the year the interest rate rises, this increases the future value of your investment.
True, If you deposit $400 into a savings account with a variable interest rate and collect a payment in one year, the future value of your investment will be affected by changes in the interest rate.
If the interest rate increases throughout the year, you will earn more interest on your initial deposit, increasing the value of investment. The future value of your investment will be reduced, though, if the interest rate falls since you will receive less interest on your initial investment. As a result, changes in interest rates have an immediate effect on the value of your investment in the future.
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instead of highly predatory behaviors i marketing channel relationships in the 21st-century, value chain relationships are characterized by:
Value chain relationships are built on a foundation of trust and cooperation. Members of the value chain work together to share information, coordinate activities, and solve problems.
In the 21st century, value chain relationships are characterized by collaborative and cooperative behaviors rather than highly predatory behaviors in marketing channel relationships. Value chain relationships focus on mutual benefit for all parties involved. Value chain relationships are typically long-term, strategic partnerships that focus on creating and sustaining value over time.
Value chain relationships are built on a foundation of trust and cooperation. Members of the value chain work together to share information, coordinate activities, and solve problems. Value chain relationships rely on open communication between all parties involved. This means that information is shared freely and transparently to help ensure that everyone is working toward the same goals.
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martha stewart employs a(n) style of leadership for her lifestyle brand martha stewart living. she makes every decision, no matter how small. martha is able to make quick decisions due to her consistent vision.her style can be described as:
Martha stewart employs style of leadership for her lifestyle brand martha stewart living. Because to crisis management, the company had limited harm. Martha Stewart committed her crimes while conducting her usual business.
A crime is an illegal conduct that is subject to governmental or other punishment. Modern criminal law lacks a clear and widely agreed definition of what constitutes a crime, despite the fact that legislative definitions have been established.
Crime is the deliberate performance of an act that is generally regarded as socially destructive or dangerous and is expressly banned by, and subject to, criminal sanctions.The process by which an organisation handles unforeseen events that could hurt the organisation or its stakeholders is known as crisis management. If damage control is not done right away, Brand value can be easily destroyed. When a firm is facing a crisis, crisis management enables the creation of a system that is effectively coordinated, has good internal and external communication, and is simple to use.
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QUESTION 4 If you were the CEO of a company and was promised a $10M bonus if net income were to increase by 10% this year. You might:
A. Increase profits by eliminating much of the advertising, reducing expenses, a good long run result for the company and the stockholders B Increase profits by eliminating much of the research and development expenses, a good long run result for the company and stockholders. C. Increase profits by eliminating employee training programa, reducing expenses, a good long run result for the company and stockholders D. You might do a, b, and e, because profits will go up and you will be happy to receive a the bonus E. Hold everything, this reward system is misguided because it encourages reducing expenses now in ways that makes you better off (richer) but have negative impact on the future performance of the company
You might: Hold everything, this reward system is misguided because it encourages reducing expenses now in ways that makes you better off (richer) but have negative impact on the future performance of the company.
So, the correct answer is E.
How to increase net income?As CEO, it is important to focus on long-term growth and sustainability of the company rather than just short-term gains for personal benefit.
By cutting expenses that may impact the company's future success, it could ultimately harm the company and its stakeholders in the long run.
It would be better to explore other ways to increase net income that do not sacrifice the future of the company.
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greg is paid for the number of hours he works or for the number of units he produces, whichever is higher. which form of compensation does greg receive?
Greg receives a form of compensation that is commonly referred to asvariable pay or performance-based pay.
Under this form of compensation, Greg's pay is based on either the number of hours he works or the number of units he produces, whichever is higher. This means that if Greg produces more units than the number of hours he works, he will receive pay based on the number of units he produces. On the other hand, if he works more hours than the number of units he produces, he will receive pay based on the number of hours he works.
Variable pay is often used in industries where productivity is critical, such as manufacturing, construction, and sales. This form of compensation is designed to motivate employees to work more efficiently and to increase their productivity by rewarding them for their performance.
Overall, the use of variable pay can help organizations to align employee performance with business goals and objectives, which can ultimately lead to increased profitability and success.
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when we see small changes in the demand for bottled water at several local sheetz convenience stores causing a very large change in demand for bottled water at the regional distribution center that serves those local stores, we are observing . group of answer choices quantity discounts. safety stock. the bullwhip effect.
Bullwhip effect is a common supply chain phenomenon that can cause significant challenges for companies. By understanding the causes of the bullwhip effect, companies can take steps to mitigate its impact and improve their supply chain efficiency.
The phenomenon described in the question is known as the bullwhip effect. It refers to the amplification of small fluctuations in demand as we move upstream in a supply chain.
In other words, small changes in demand at the retail level can result in much larger variations in demand at the wholesale and manufacturing levels. The bullwhip effect can occur due to several factors, including demand forecasting errors, batch ordering, and inventory policies.
In the case of the sheetz convenience stores, the demand for bottled water is likely to be influenced by several local factors such as weather conditions, promotional activities, and consumer preferences. These factors can cause fluctuations in demand that may be difficult to predict accurately. As a result, the local stores may adjust their orders based on their perceptions of future demand, leading to the bullwhip effect.
At the regional distribution center, the impact of these small changes in demand is magnified because the center is responsible for fulfilling orders from multiple local stores. As a result, the center may face difficulty in meeting the fluctuating demand, leading to inventory imbalances and higher costs.
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Earley Corporation issued perpetual preferred stock with a 10% annual dividend. The stock currently yields 6%, and its par value is $100. Round your answers to the nearest cent. a. What is the stock's value? $ b. Suppose interest rates rise and pull the preferred stock's yield up to 13%. What is its new market value?
a. The stock's value can be calculated as follows:
Dividend payment = 10% * $100 = $10
Yield = 6% = $6
Stock's value = Dividend payment / Yield = $10 / $6 = $166.67
Therefore, the stock's value is $166.67.
b. If the preferred stock's yield rises to 13%, its new market value can be calculated as follows:
Dividend payment = 10% * $100 = $10
Yield = 13% = $13
Stock's value = Dividend payment / Yield = $10 / $13 = $76.92
Therefore, the preferred stock's new market value would be $76.92.
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Eight years ago Zack& Co. had purchased an equipment fo: $1,200,000. This equipment was being depreciated on a straight line basis over a 12 year period to a 300,000 salvage value. The equipment has six more years of economic life. During this period the annual revenues and operating costs assocaited with this machine are expected to be $388,000 and $87,500, respectively. Zack is now considering replacing this machine with a more modern one. The old equipment can now be sold for $180,000. Investment in net working capital is expected to increase by $132,000 as a result of the investment. The new machine will cost $1,500,000 and another $120,000 will be needed to modify it. This machine falls into the ACRS 5-year class life. It. is also expected to have an economic life of SiX years. The annual revenue and operating costs from the new machine are expected to be $750,000 and $58,000, respectively. At the sixth year Zack expects to sell the nes machine for $180,000. Zack's marginal tax rate is 34%. The equipment will be equity financed. (14 pts.) 1 Please calculate Zack's Net Investment and the Net Cash flows for the next six years if the replacement decision is made.
The net investment for the replacement decision is $1,512,000 and the net cash flows for the next six years are -$186,600, $322,800, $436,000, $386,000, $347,800, and $293,400 respectively.
To calculate the net cash flows for the next six years, we need to calculate the annual depreciation expense for the new machine using the ACRS depreciation method, which is $240,000 for the first year and $360,000 for the second year.
We also need to calculate the tax savings from the depreciation expense, which is $81,600 for the first year and $122,400 for the second year. Then, we can calculate the net operating cash flows for each year by subtracting the operating costs and taxes from the revenues.
Finally, we can calculate the net cash flows for each year by subtracting the net operating cash flows, the investment in net working capital, and the annual loan payments from the tax savings. At the end of the sixth year, we add the salvage value of the new machine and the salvage value of the old machine to get the total net cash flow.
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