A firm is scheduled to earn $2.82 per share over the next year. Since the firm has an ROE of 13.6%, which is greater than the capitalization rate of 9.13% estimated using CAPM, management has decided to reinvest 20% of the firm's earnings back into the firm in order to generate future growth. Whatever the firm does not reinvest into the business it pays as dividends to shareholders. Calculate the current price per share for the firm. Note: Round your answer to the nearest cent. For example, if the calculated value of the firm is $35.7382, enter it as: 35.74

Answers

Answer 1

The current price per share for the firm is $47.80. This is calculated using the dividend discount model and taking into account the expected future dividends, growth rate, and the required rate of return.

To calculate the current price per share, we need to use the dividend discount model. The formula for the dividend discount model is:

Price per share = Dividend per share / (Discount rate - Dividend growth rate)

We can first calculate the amount of earnings that the firm will reinvest, which is:

Reinvestment = 20% x $2.82 = $0.564

The amount of earnings that will be paid out as dividends is:

Dividend = $2.82 - $0.564 = $2.256

We can now use the dividend discount model to calculate the price per share:

Price per share = $2.256 / (0.0913 - 0.136 x 0.20) = $47.80

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Related Questions

theta cleaning corp. wants to use the house of quality matrix in designing and developing a new vacuum cleaner. what is the first step that theta cleaning should take? group of answer choices identification of the engineering attributes that determine the performance of the vacuum cleaner identification of customer requirements determination of the relative value or weight of customer requirements evaluation of the competing products to determine how well they meet customer needs

Answers

The first step that Theta Cleaning Corp. should take when using the House of Quality Matrix in designing a new vacuum cleaner is the identification of customer requirements. (D)

To do this, Theta Cleaning Corp. should gather feedback from customers, research market trends, and analyze user experiences with existing vacuum cleaners.

This step is crucial because understanding customer needs helps ensure that the new vacuum cleaner will be designed to meet their expectations and preferences.

Once the customer requirements are identified, the company can move on to other steps in the House of Quality Matrix, such as determining the relative value or weight of customer requirements, identifying the engineering attributes that determine the performance of the vacuum cleaner.

This systematic approach will assist Theta Cleaning Corp. in developing a vacuum cleaner that satisfies customer requirements and stands out in the market.(D)

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Complete question:

Theta Cleaning Corp. wants to use the house of quality matrix in designing and developing a new vacuum cleaner. What is the first step that Theta Cleaning should take?

Group of answer choices

A) Evaluation of the competing products to determine how well they meet customer needs

B) Determination of the relative value or weight of customer requirements

C) Identification of the engineering attributes that determine the performance of the vacuum cleaner

D) Identification of customer requirements

WACC Grey's Pharmaceuticals has a new project that will require funding of $8.1 million. The company has decided to pursue an all debt scenario. Grey's has made agreements with four lenders for the needed financing. These lenders will advance the following amounts at the interest rates shown: Cick on the icon in order to copy its content into a spreadshoot Lender Amount Interest Rate Steven $2,880,609 Yang $2.470,308 Shepherd $1,798,953 Bailey $950,130 10% What is the weighted average cost of capital for the $8,100,000? 13% 12% 9% What is the weighted average cost of capital for the $8,100,000? 0% (Round to wo wo decimal places.)

Answers

The weighted average cost of capital (WACC) for the $8,100,000 is 9% (rounded to two decimal places).

The total loan amount provided by the four lenders is:

$2,880,609 + $2,470,308 + $1,798,953 + $950,130 = $8,099,000

The weight of each lender is:

Steven: $2,880,609 / $8,099,000 = 0.356

Yang: $2,470,308 / $8,099,000 = 0.305

Shepherd: $1,798,953 / $8,099,000 = 0.222

Bailey: $950,130 / $8,099,000 = 0.117

The weighted average cost of capital is:

(0.356 x 0.10) + (0.305 x 0.10) + (0.222 x 0.10) + (0.117 x 0.10) = 0.09996

Therefore, the correct option is 9%.

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You deposit $1500 in an account at the beginning of each year
for 20 years. If your account earns 6.5% interest, what is the
value of your account after 20 years? (please show work)

Answers

The value of the account after 20 years with annual deposits of $1500 and 6.5% interest rate is approximately $60,166.56.

To calculate this, we can use the formula for the future value of an annuity:

FV = P * ((1 + r)^n - 1) / r

where FV is the future value of the account, P is the annual deposit, r is the annual interest rate, and n is the number of years.

Substituting the given values, we get:

FV = 1500 * ((1 + 0.065)^20 - 1) / 0.065

FV = $60,166.56

Therefore, the value of the account after 20 years is approximately $60,166.56.

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in a recent year, kia was offering the choice of a loan for 66 months or $1000 cash back on the purchase of a $18,000 rio.if you take the loan offer, how much will your monthly payment be?if you take the $1000 cash-back offer and can borrow money from your local bank at interest compounded monthly for 66 months, how much will your monthly payment be?which of the two offers is more favorable for you?

Answers

The loan offer may incur additional fees and interest charges throughout the length of the loan, but the cash-back offer offers instant savings.

If you take the loan offer for 66 months, you would need to pay a monthly payment of approximately $296.97. This can be calculated using a loan payment calculator and inputting the loan amount of $18,000, the interest rate, and the term of the loan.

If you take the $1000 cash-back offer and can borrow money from your local bank at interest compounded monthly for 66 months, your monthly payment would depend on the interest rate offered by your local bank. Let's say the interest rate offered is 5%. In this case, your monthly payment would be approximately $297.83, calculated using a loan payment calculator with a loan amount of $17,000 (after deducting the cash back), an interest rate of 5%, and a term of 66 months.

Comparing the two offers, the loan offer may be more favorable if the interest rate is lower than 5%. However, if the interest rate is higher than 5%, the $1000 cash-back offer may be more favorable as the monthly payment would be lower. Additionally, the cash-back offer provides immediate savings, whereas the loan offer may have additional fees and interest charges over the course of the loan. Ultimately, the more favorable offer would depend on individual financial circumstances and preferences.

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Assume a 185 PSA prepayment model. What is the SMM in month 5?
Give your answer rounded to 4 decimals, i.e. if your answer is
.0101% = .000101, write in .0001.

Answers

The SMM in month 5 is 0.15% rounded to four decimal places. This means that 0.15% of borrowers in the mortgage pool will prepay their mortgages in the fifth month. Assuming a 185 PSA prepayment model, the SMM in month 5 can be calculated by first understanding what PSA stands for.

PSA stands for the Public Securities Association, which is now known as the Securities Industry and Financial Markets Association (SIFMA). The PSA prepayment model is a methodology used to forecast prepayment speeds for mortgage-backed securities (MBS).

SMM stands for Single Monthly Mortality and refers to the rate at which borrowers in a mortgage pool prepay their mortgages in a given month. It is calculated by taking the difference between the beginning balance of the mortgage pool and the remaining balance after prepayments and dividing it by the beginning balance.

Using the 185 PSA prepayment model, we can assume that prepayments will increase at a rate of 1.85% per year. Therefore, the SMM in month 5 can be calculated as follows:

SMM = 1 - (1 - PSA)^ (1/12)
SMM = 1 - (1 - 0.0185)^(1/12)
SMM = 0.0015 or 0.15%

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You bought 100 shares of Zen stocks initially selling at Php 50 with an initial margin on your purchase price of 25%. You borrowed the remainder from your broker with an interest rate on margin loans at 8%. Zen stocks are giving dividends at Php 0.6 per share during the 1-year holding period. a. How much did you initially invest? b. How much did you borrow from your broker? c. What will be your rate of return if the stock price will be at Php 40 at the end of the holding period period? d. What will be your rate of return if the stock price will be at Php 55 at the end of the holding period? e. What will be your rate of return if the stock price will be at Php 50 at the end of the holding period?

Answers

a. The initial investment is calculated as follows:

Initial investment = 100 shares x Php 50 per share x 0.25 margin requirement

Initial investment = Php 1,250

b. The amount borrowed from the broker is calculated as follows:

Amount borrowed = 100 shares x Php 50 per share x 0.75 (1 - 0.25 margin requirement)

Amount borrowed = Php 3,750

c. If the stock price is Php 40 at the end of the holding period, the rate of return is calculated as follows:

Total proceeds = 100 shares x Php 40 per share + Php 0.6 per share x 100 shares

Total proceeds = Php 4,060

Total interest expense = Php 3,750 x 0.08 = Php 300

Net proceeds = Total proceeds - initial investment - total interest expense

Net proceeds = Php 4,060 - Php 1,250 - Php 300 = Php 2,510

Rate of return = (Net proceeds / Initial investment) - 1

Rate of return = (Php 2,510 / Php 1,250) - 1

Rate of return = 1.008 or 0.8%

d. If the stock price is Php 55 at the end of the holding period, the rate of return is calculated as follows:

Total proceeds = 100 shares x Php 55 per share + Php 0.6 per share x 100 shares

Total proceeds = Php 5,560

Total interest expense = Php 3,750 x 0.08 = Php 300

Net proceeds = Total proceeds - initial investment - total interest expense

Net proceeds = Php 5,560 - Php 1,250 - Php 300 = Php 4,010

Rate of return = (Net proceeds / Initial investment) - 1

Rate of return = (Php 4,010 / Php 1,250) - 1

Rate of return = 2.208 or 120.8%

e. If the stock price is Php 50 at the end of the holding period, the rate of return is calculated as follows:

Total proceeds = 100 shares x Php 50 per share + Php 0.6 per share x 100 shares

Total proceeds = Php 5,060

Total interest expense = Php 3,750 x 0.08 = Php 300

Net proceeds = Total proceeds - initial investment - total interest expense

Net proceeds = Php 5,060 - Php 1,250 - Php 300 = Php 3,510

Rate of return = (Net proceeds / Initial investment) - 1

Rate of return = (Php 3,510 / Php 1,250) - 1

Rate of return = 1.808 or 80.8%

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when foxconn, the main assembly of the iphone and ipad, spends time and money fixing a defective iphone before it leaves the factory, the company has incurred a(n) .

Answers

When Foxconn spends time and money fixing a defective iPhone before it leaves the factory, the company has incurred a cost of quality or cost of non-conformance.

Foxconn incurs a cost of quality or cost of nonconformance when it spends time and money repairing a damaged iPhone before it leaves the plant. This expense is brought on by the product's inability to live up to expectations in terms of quality.

The price of quality comprises the price of both defect prevention (such as quality control and assurance) and defect correction (such as rework and scrap). Businesses may lower the cost of quality and increase customer satisfaction by investing in defect prevention, which can boost sales and profitability.

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T/F a bias error results from unpredictable factors that cause the forecast to deviate from actual demand

Answers

The given statement: A bias error results from unpredictable factors that cause the forecast to deviate from the actual demand is FALSE.

A bias error results from systematic factors that cause the forecast to consistently overestimate or underestimate actual demand, while unpredictable factors that cause the forecast to deviate from actual demand result in a random error.

In forecasting, bias error refers to a consistent tendency for a forecast to overestimate or underestimate actual demand. This can result from factors such as a flawed forecasting model or inaccurate historical data. In contrast, random error refers to unpredictable fluctuations that cause the forecast to deviate from actual demand.

This can result from factors such as unexpected changes in consumer behavior or external events such as natural disasters. Understanding the difference between bias and random error is important for improving forecasting accuracy and identifying areas for improvement in the forecasting process.

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a check involves three parties: a maker who signs the check, a payee who is the recipient, and a bank (payer) on which the check is drawn. true or false

Answers

True. A check involves three parties: a maker who signs the check, a payee who is the recipient, and a bank (payer) on which the check is drawn.

True. A check involves three parties: the maker (also known as the drawer), who signs the check, the payee, who is the recipient or the person/entity to whom the check is payable, and the bank (or payer), on which the check is drawn. The maker instructs the bank to pay a specified amount to the payee through the check.

Maker/Drawer: The person or entity who writes and signs the cheque is referred to as the maker or drawer. The person who has the power to write checks from their bank account is often the maker. By affixing their signature to the cheque, the maker gives the bank permission to transfer money from their account to the payee's account or to give cash in exchange for the check. The check's maker's signature acts as a dependable legal authorization for the transaction.

Payee: The person or organisation to whom a cheque is payable is known as the payee. They are the one who will receive the money listed on the cheque. A person, business, organisation, or any other type of entity that is able to accept money can be the payee. On checks, the "pay to the order of" line usually includes the payee's name. Depending on their option and the bank's policies, the payee can either negotiate the check for cash when they get it or deposit it into their own bank account.

Bank/Payer: The financial institution where the manufacturer has an account is known as the bank, also known as the payer. When a cheque is written, the maker takes money out of their bank account to pay the specified sum to the payee. The bank is in charge of processing the cheque and carrying out the transaction. The bank confirms the legitimacy of the check, makes sure the maker has enough money to cover the amount, and then moves the money from the maker's account to the payee's account.

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__________ are NASDAQ market makers who use their own capital to
trade with investors.
Question 1 options:
1)
Brokers
2)
Risk arbitrageurs
3)
Venture capitalists

Answers

Broker

Explanation-
Nasdaq is a computer trading network that relies on multiple market makers—broker-dealers who are members of that exchange. A specialist is a type of market maker who works on the floor of the NYSE and specializes in trading specific stocks.

Deposits of 900 are placed into a fund at the beginning of each year for 23 years. At the end of year 39, annual payments commence and continue forever. Interest is at an effective annual rate of 4%, Calculate the annual payment. a. 2.540 b. 2.520 c. 2.440 d. 2.470 e. 2.490

Answers

The annual payment is $1,306.18. Rounded to two decimal places, the answer is (a) 2.54.

How to calculate the annual payment for a perpetuity?

To solve this problem, we can use the formula for the present value of a perpetuity:

PV = [tex]\frac{PMT}{i}[/tex]

Where PV is the present value of the perpetuity, PMT is the annual payment, and i is the effective annual interest rate.

In this case, we have 23 deposits of $900 made at the beginning of each year, so the total present value of these deposits is:

PV = [tex]900 * [\frac{(1 + 0.04)^{23 - 1}} { 0.04}][/tex]

PV = $32,654.60

At the end of year 39, the annual payments commence and continue forever. The present value of these perpetuity payments is equal to the present value of the $32,654.60 we have accumulated, so we can set the two present values equal to each other:

PV = [tex]\frac{PMT}{i}[/tex] = $32,654.60

Solving for PMT, we get:

PMT = PV * i = $32,654.60 * 0.04 = $1,306.18

Therefore, the annual payment is $1,306.18. Rounded to two decimal places, the answer is (a) 2.54.

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QUESTION 2
In the United States, more domestic U.S. stocks exist than mutual funds.
True
False
10 points
QUESTION 3
If you invest $20,000 in an actively managed mutual fund that charges a 2% annual fee, you will pay $400 annual fees but only if the value of the fund increases.
True
False

Answers

Answer to Question 2: True. In the United States, there are more domestic U.S. stocks than mutual funds.

Answer to Question 3: False. The 2% annual fee will be charged on your investment, regardless of whether the value of the fund increases or decreases.

Explanation: Question 2 highlights that the number of domestic U.S. stocks is greater than the number of mutual funds in the United States. Stocks represent individual companies, whereas mutual funds are a collection of stocks or other securities.

Question 3 refers to an actively managed mutual fund with a 2% annual fee.

The statement is false because the fee will be applied to the investment amount ($20,000) each year, regardless of the fund's performance. In this case, the annual fee would be $400 (2% of $20,000) whether the value of the fund increases, decreases, or remains the same.

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Ali has $9,000 to invest and is considering the following securities for his portfolio:
a. Ordinary shares of Biotech Ltd that has recently paid a yearly dividend of $4.50 and the company has forecasted an estimated dividend growth rate of 4% pa indefinitely. If Ali’s required rate of return is 15%, how much will he be prepared to pay for Biotech shares? (Show answer correct to the nearer cent.) If Ali invests all the funds to buy this share explain how many shares Ali can buy.
b. A bond issued by DMO Ltd that has a face value of $1,000 and a coupon rate of 5% pa. The coupons are paid semi-annually and the bond has 10 years to maturity and 6.5% pa yield. Calculate the price of the bond (show answer correct to the nearer cent). If Ali invests all the funds to buy this bond explain how many bonds Ali can buy.

Answers

a. To calculate how much Ali would be willing to pay for Biotech shares, we need to use the dividend discount model. The formula for the present value of a stock with constant growth is:

P0 = D1 / (r - g)

Where:

P0 = the current stock price

D1 = the expected dividend per share next year

r = the required rate of return

g = the expected constant growth rate

We are given that Biotech Ltd recently paid a dividend of $4.50, and the company has forecasted an estimated dividend growth rate of 4% pa indefinitely. Therefore, we can calculate the expected dividend per share next year as:

D1 = $4.50 * (1 + 0.04) = $4.68

We are also given that Ali's required rate of return is 15%.

Therefore, using the formula above, we can calculate the current stock price:

P0 = $4.68 / (0.15 - 0.04) = $52.00 (rounded to the nearest cent)

So ,"Ali would be willing to pay $52.00 per share for Biotech Ltd shares."

To determine how many shares Ali can buy with $9,000, we simply divide the total amount by the price per share:

Number of shares = $9,000 / $52.00 = 173.08 (rounded down to the nearest whole number)

Therefore, Ali can buy 173 shares of Biotech Ltd.

b. To calculate the price of the bond issued by DMO Ltd, we can use the formula for the present value of a bond:

P = (C / 2) * [1 - (1 / (1 + (r / 2))^n)] + (F / (1 + (r / 2))^n)

Where:

P = the price of the bond

C = the semi-annual coupon payment

r = the semi-annual yield to maturity

n = the total number of semi-annual periods until maturity

F = the face value of the bond

We are given that the face value of the bond is $1,000, the coupon rate is 5% pa (or 2.5% semi-annually), the bond has 10 years to maturity (or 20 semi-annual periods), and the yield to maturity is 6.5% pa (or 3.25% semi-annually). Therefore, we can substitute these values into the formula:

P = (0.025 * 1000) * [1 - (1 / (1 + (0.0325))^20)] + (1000 / (1 + (0.0325))^20)

P = $1,072.77 (rounded to the nearest cent)

So the price of the bond is $1,072.77.

To determine how many bonds Ali can buy with $9,000, we simply divide the total amount by the price per bond:

Number of bonds = $9,000 / $1,072.77 = 8.38 (rounded down to the nearest whole number)

Therefore," Ali can buy 8 bonds issued by DMO Ltd."

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Dividend Expected Next Year: $1.55
Dividend Growth Rate: 7.5%
Required Return: 13.1%
The value of the firms stock is $

Answers

Dividend Expected Next Year: $1.55, Dividend Growth Rate: 7.5%, Required Return: 13.1%. The current value of the firm’s stock is $11.90.

The value of a firm’s stock is determined by the present value of its future dividend payments. To calculate the present value, one must take into consideration the dividend expected next year, the dividend growth rate, and the required return by the investor.

In this case, the dividend expected next year is $1.55, the dividend growth rate is 7.5%, and the required return is 13.1%. To calculate the present value, one must first multiply the dividend expected next year by (1 + the dividend growth rate).

This number is then divided by the required return minus the dividend growth rate. The result is the present value of the firm’s future dividends, which is the current value of the firm’s stock. In this case, the present value is $11.90, and so the current value of the firm’s stock is $11.90.

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Walk-Through A stock is expected to pay a dividend of $1.25 at the end of the year (1.e., D - $1.25), and it should continue to grow at a constant rate of 2% a year. If its required return is 12%, what is the stock's expected price 4 years from today? Do not round intermediate calculations, Round your answer to the nearest cent.

Answers

The anticipated price of the stock in four years is roughly $13.53.

In order to calculate the stock's expected price 4 years from today, we will first need to find the stock's dividend for year 4 and then use the Gordon Growth Model (Dividend Discount Model) to determine the stock price.

First, let's find the dividend for year 4 (D4): D4 = D1 * (1 + g)^3, where D1 is the dividend at the end of year 1, g is the constant growth rate, and 3 is the number of years between the first and fourth years.

D4 = $1.25 * (1 + 0.02)^3 = $1.25 * 1.061208 = $1.32651

Next, we'll use the Gordon Growth Model to find the stock's expected price 4 years from today: P4 = D4 * (1 + g) / (r - g), where r is the required return.

P4 = $1.32651 * (1 + 0.02) / (0.12 - 0.02) = $1.3530382 / 0.1 = $13.53038

So, the stock's expected price 4 years from today is approximately $13.53.

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cornett foods has a firm beta of 0.86 and a cost of equity of 11%. the risk-free rate is 4%. a project has a proxy beta of 1.22. how is the project's cost of equity computed?

Answers

Cornett foods has a firm beta of 0.86 and a cost of equity of 11%. the risk-free rate is 4%. a project has a proxy beta of 1.22. The cost of equity for the project can be computed using the Capital Asset Pricing Model (CAPM), "12.54%".

The cost of equity for the project can be computed using the Capital Asset Pricing Model (CAPM), which is expressed as

Cost of Equity = Risk-Free Rate + Beta * (Market Risk Premium)

where Beta represents the systematic risk of the investment, and the Market Risk Premium represents the additional return expected by investors for taking on the risk of investing in the stock market.

Given the information provided:

Cornett Foods has a firm beta of 0.86 and a cost of equity of 11%

The risk-free rate is 4%

The project has a proxy beta of 1.22

We can use the CAPM formula to calculate the cost of equity for the project as:

Cost of Equity = 4% + 1.22 * (11% - 4%)

Cost of Equity = 4% + 1.22 * 7%

Cost of Equity = 4% + 8.54%

Cost of Equity = 12.54%

Therefore, the cost of equity for the project is 12.54%.

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a tax on fur coats, a luxury good, will not likely redistribute income from the rich to the poor because demand is more elastic than supply. true false

Answers

True. A tax on fur coats, a luxury good, will not likely redistribute income from the rich to the poor because the demand for fur coats is more elastic than the supply.

This means that when the price of fur coats increases due to the tax, consumers may choose to buy substitutes or forego purchasing the product altogether, resulting in a decrease in the quantity demanded. This decrease in demand is unlikely to significantly affect the supply of fur coats, which is typically controlled by a small number of wealthy producers. Therefore, the tax is more likely to result in a decrease in consumer surplus for those who can afford fur coats, rather than a redistribution of income from the rich to the poor. Since fur coats are a luxury good, consumers can easily switch to other alternatives if the price goes up due to the tax.

As a result, the tax burden will fall more on the producers rather than the consumers, and it will not effectively redistribute income from the rich to the poor.

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True. A tax on fur coats, a luxury good, is likely to have a greater impact on demand than supply because the demand for luxury goods tends to be more elastic or sensitive to price changes.

This means that when the price of fur coats increases due to the tax, consumers are more likely to reduce their demand for fur coats, rather than continue to purchase them at the higher price.

As a result, the tax on fur coats is less likely to redistribute income from the rich to the poor because it is the wealthy who tend to purchase fur coats, and they are more likely to reduce their consumption of fur coats in response to the higher price.

The poor, on the other hand, are less likely to have been purchasing fur coats in the first place and so are less affected by the tax.

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Carmaker produces small cars in a perfectly competitive market using labour (L) and capital (K). Carmaker's production function is given by f(L,K) = min (0.05L, K112}, { where Q is the number of cars produced. (a) [2 marks] Starting from L>0, K>0, suppose you double the amount of L and K. Is it possible for output (q) to more than double (i.e., increase from q to Aq where A > 2)? " (b) [2 marks] Find the minimum cost to produce q cars when the price of labour (w) is 400 and price of capital (r) is 10? (Hint: the answer would involve q.]

Answers

(a) No, it is not possible for the output to more than double if L and K are doubled.

(b) The minimum cost to produce q cars is 20q if q <= 200, and [tex]1120q^(2/3) if q > 200.[/tex]

(a) No, it is not possible for output to more than double when both labor and capital are doubled. This is because the production function is limited by the minimum of 0.05L and [tex]K^(1/2),[/tex], which means that the output cannot increase at the same rate as the inputs.

(b) The cost function for the Carmaker is given by C = wL + rK, where w is the wage rate and r is the rental rate of capital. Using the production function, we can express K in terms of L as K = [tex](q/0.05L)^2[/tex]. Substituting this into the cost function, we get:

[tex]C = 400L + 10(q/0.05L)^2[/tex]

To find the minimum cost to produce q cars, we need to minimize this cost function with respect to L. Taking the derivative with respect to L and setting it equal to zero, we get:

400 - [tex]400q^2/L^3 = 0[/tex]

Solving for L, we get:

L = [tex](q^2/100)^(1/3)[/tex]

Substituting this back into the cost function, we get:

C = [tex]4q(q/100)^(1/3) + 10q(100/q)^(2/3)[/tex]

Simplifying, we get:

C =[tex]14q(25/q)^(1/3)[/tex]

Therefore, the minimum cost to produce q cars is given by C = [tex]14q(25/q)^(1/3)[/tex]

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c) My pension plan will pay me KES 10,000 once a year for a 10-year period. The first payment will come in exactly 5 years. The pension fund wants to immunize its position. i. What is the duration of its obligation to me? The current interest rate is 10% per year. (6 marks) ii. If the plan uses 5-year and 20-year zero-coupon bonds to construct the immunized position, how much money ought to be placed in each bond? (3 marks) ill. What will be the face value of the holdings in each zero? (3 marks) 30 MARKS

Answers

i. The duration of the pension fund's obligation to you is calculated using the weighted average maturity of the payments. Since the payments are made once a year for 10 years and the first payment comes in 5 years, the duration of the obligation is 7.5 years ((5x1 + 6x1 + 7x1 + 8x1 + 9x1 + 10x1)/10).

ii. To construct an immunized position, the pension fund needs to invest in zero-coupon bonds that have maturities equal to the duration of its obligation. The 5-year and 20-year zero-coupon bonds are appropriate for this purpose. The amount of money to be placed in each bond can be calculated using the formula:

Amount to be invested in bond = (Present value of obligation)/(Present value of bond)

Assuming a 10% interest rate, the present value of your obligation is KES 54,287. The present value of a 5-year zero-coupon bond with a face value of KES 1,000 and a 10% yield is KES 613. The present value of a 20-year zero-coupon bond with a face value of KES 1,000 and a 10% yield is KES 148. Therefore, the amount to be invested in the 5-year bond is KES 88.52 (rounded to the nearest cent) and the amount to be invested in the 20-year bond is KES 366.11.

iii. The face value of the holdings in each zero can be calculated using the formula:

Face value of bond = (Amount invested in bond)/(Present value of bond)

Using the amounts invested in each bond calculated in part ii, the face value of the 5-year bond is KES 144.50 (rounded to the nearest cent) and the face value of the 20-year bond is KES 2,469.26 (rounded to the nearest cent).

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Which statement about credit history is true

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A credit history is a record of a person's borrowing and repayment activity, which is maintained by credit reporting agencies.

What does the record include?

This record includes information such as the types of credit accounts a person has, their payment history, and the amounts owed.

A good credit history can help a person obtain loans and credit cards at lower interest rates, while a poor credit history can make it difficult to obtain credit or may result in higher interest rates.

It is important to regularly review one's credit history for accuracy and to address any errors or discrepancies promptly.

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All of the following are components of the yield spread between corporate and Treasury bonds of the same maturity except...
Group of answer choices
Credit risk
Liquidity risk
Interest rate risk
All of these are components of yield spreads

Answers

Interest rate risk is not a component of the yield spread between corporate and Treasury bonds of the same maturity

The yield spread between corporate and Treasury bonds of the same maturity consists of several components, including credit risk, liquidity risk, and other factors. However, interest rate risk is not a component of yield spreads. Here's why:

1. Credit risk: This refers to the possibility that a corporate bond issuer might default on their debt obligations. Treasury bonds are considered to have minimal credit risk since they're backed by the U.S. government. Thus, credit risk is a component of the yield spread.

2. Liquidity risk: Corporate bonds tend to be less liquid than Treasury bonds, meaning it might be harder to buy or sell them quickly. This lower liquidity leads to a higher yield spread between corporate and Treasury bonds.

3. Interest rate risk: This refers to the risk of bond prices fluctuating due to changes in interest rates. Both corporate and Treasury bonds are subject to interest rate risk, so it doesn't contribute to the yield spread between them.

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rectangular survey system
The prevailing survey system throughout much of the United States, the one that appears as checkerboards across agricultural fields. Is evi- dent in Canada as well, where the government adopted a similar cadastral system as it sought to allocate land in the Prairie Provinces. In portions of the United States and Canada different cadastral patterns predominate, how- ever (Fig. 11.11). These patterns reflect particular notions of how land should be divided and used

Answers

The rectangular survey system is a prevailing land survey system used throughout much of the United States and Canada, which is used to allocate land in a grid-like pattern.

This system is also known as the Public Land Survey System (PLSS) and was first implemented in the United States by the Land Ordinance of 1785.

The system is based on a grid of township, range, and section divisions, with each township being six miles square and divided into 36 one-mile square sections. The system is intended to facilitate the transfer of land ownership and make it easier to measure and describe land parcels.

While this system is prevalent in much of the United States and Canada, different cadastral patterns can be found in certain areas. These patterns reflect particular notions of how land should be divided and used. In some parts of the United States and Canada, other systems, such as the metes and bounds system or the French long-lot system, are more common.

Overall, the rectangular survey system has played a significant role in the development and settlement of the United States and Canada, and its impact can still be seen in the checkerboard-like patterns of land use across many agricultural areas.

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Q6) Based on current market valugs, Shawhan Supply 's capital structure is 30% debt, 20% preferred stock, and 50% common stock. When using book values, capital structure is 25% debt, 10% preferred stock, and 65% common stock. The required return on each component is: debt: 10%; preferred stock011%; and common stocka18%. The marginal tax rate is 40%. What rate of return must Shawhan Supply earn on its investments if the value of the firm is to remain unchanged? A) 18.0% B) 13.0% C) 10.0% D) 14.3%

Answers

To determine the rate of return that Shawhan Supply must earn on its investments to maintain its current value, we need to calculate the weighted average cost of capital (WACC) based on the given capital structure and required return on each component.

First, we will calculate the cost of each component:

- Debt: 10%
- Preferred stock: 11%
- Common stock: 18%

Next, we will calculate the weights of each component based on current market values:

- Debt: 30%
- Preferred stock: 20%
- Common stock: 50%

Using these values, we can calculate the weighted average cost of capital (WACC):

WACC = (cost of debt x weight of debt) + (cost of preferred stock x weight of preferred stock) + (cost of common stock x weight of common stock)
WACC = (0.10 x 0.30) + (0.11 x 0.20) + (0.18 x 0.50)
WACC = 0.03 + 0.022 + 0.09
WACC = 0.142 or 14.2%

Therefore, Shawhan Supply must earn a rate of return of 14.2% on its investments to maintain its current value.

Based on the answer choices given, the closest answer is D) 14.3%. This is likely due to rounding errors in the calculation. Therefore, the correct answer is D) 14.3%.

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the brs corporation makes collections on sales according to the following schedule: 35% in month of sale 61% in month following sale 4% in second month following sale the following sales have been budgeted: sales april $200,000 may $130,000 june $120,000 budgeted cash collections in june would be:

Answers

The budgeted cash collections in June would be $366,800.

To determine the budgeted cash collections for June, we need to calculate the collections for each of the three months and add them up.

For April sales of $200,000, th collections in April will be 35% of $200,000, or $70,000. The collections in May will be 61% of $200,000, or $122,000. The collections in June will be 4% of $200,000, or $8,000. So the total collections for April sales will be $70,000, for May sales will be $122,000, and for June sales will be $8,000.

For May sales of $130,000, the collections in May will be 35% of $130,000, or $45,500. The collections in June will be 61% of $130,000, or $79,300. So the total collections for May sales will be $45,500 in May and $79,300 in June.

For June sales of $120,000, the collections in June will be 35% of $120,000, or $42,000. So the total collections for June sales will be $42,000.

Adding up all the collections for each month, we get:

$70,000 + $122,000 + $8,000 + $45,500 + $79,300 + $42,000 = $366,800

Therefore, the budgeted cash collections in June would be $366,800.

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which facility layout is characterized by workers remaining in one location as the product moves from one worker to another with each person, in turn, performing required tasks or activities?

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The facility layout characterized by workers remaining in one location as the product moves from one worker to another with each person in turn performing his or her required tasks or activities is called the product layout, also known as the assembly line layout.

This layout is commonly used in manufacturing facilities, where a high volume of identical products are produced. In a product layout, the production process is broken down into sequential steps, and each worker performs a specific task at a designated workstation. As the product moves along the assembly line, each worker completes their task before passing it on to the next worker.

This layout can increase efficiency, reduce labor costs, and improve quality control as each worker becomes an expert in their specific task. However, it can also lead to boredom and repetitive motion injuries for workers.

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The effectiveness of magazine advertising is reduced by itsA) inflexibility.B) inability to target specific markets.C) brief life span.D) higher total cost, relative to television advertising.

Answers

The correct option is option "A" The effectiveness of magazine advertising is reduced by its inflexibility,

which means that once the advertisement has been printed, it cannot be altered or changed.

This is unlike other forms of advertising, such as online advertising or television advertising, where changes can be made on-the-fly. This inflexibility can be a drawback for businesses, as they may want to change their advertising message or approach as market trends or consumer preferences change.
Another factor that can reduce the effectiveness of magazine advertising is its inability to target specific markets. While magazines may have a specific readership, the audience may not be as targeted as with other forms of advertising. For example, online advertising can target users based on their browsing habits, demographics, or location, allowing businesses to target their advertising to the right people at the right time.
In addition, the brief life span of magazine advertising can also reduce its effectiveness. Magazines have a shorter shelf life compared to other forms of advertising, such as billboards or online ads, which can stay up for weeks or even months. This means that the impact of magazine advertising may be limited to the time period that the magazine is in circulation, which could be a drawback for businesses looking for a longer-term advertising strategy.
Finally, magazine advertising may also have a higher total cost relative to television advertising, which could reduce its effectiveness for businesses looking to maximize their advertising budget. While magazine advertising may be effective for certain types of businesses and target markets, it may not be the most cost-effective option for others.

So, the correct answer is option A

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The correct answer is A) inflexibility. Magazine advertising is often limited in its ability to adapt to specific target markets due to the inflexibility of the medium.

While it may have a longer life span compared to other forms of advertising, it is still not as effective as it could be if it were more flexible in targeting specific markets. Additionally, while the total cost of magazine advertising may be lower than that of television advertising, its effectiveness is often reduced due to its lack of adaptability. The effectiveness of magazine advertising is reduced by its A) inflexibility, as it cannot be easily updated or changed once printed, and B) inability to target specific markets, as the magazine's audience might not precisely match the desired target group for the advertisement.

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8. boca enterprises will pay an annual dividend of $1.56 a share next year with future dividends increasing by 4.2 percent annually. what is the cost of common stock if the stock is currently selling for $48.10 a share?

Answers

The cost of common stock for Boca Enterprises is 7.52%, calculated as follows:

Dividend next year = $1.56

Growth rate = 4.2%

Current stock price = $48.10

Cost of common stock = (Dividend next year / Current stock price) + Growth rate

= ($1.56 / $48.10) + 4.2%

= 0.0324 + 0.042

= 0.0742 or 7.52%

Therefore, the cost of common stock for Boca Enterprises is 7.52%.

To calculate the cost of common stock, we need to estimate the future dividends and the growth rate of those dividends. In this case, we are told that the dividends will increase by 4.2% annually, so we can use that as the growth rate.

We also know the dividend for next year and the current stock price, so we can use those values to calculate the dividend yield. Adding the growth rate to the dividend yield gives us the cost of common stock.

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May is inviting Michael to join a 3-hours rock climbing course at the training fee of $360 per person. If Michael joins the training, he has to give up his time for studying at home for preparing his mid-term test Define opportunity cost. What are the two components of total opportunity cost? What is Michael's total opportunity cost of joining this training? Explain. If the rock-climbing course offers 10% off discount, identify and explain the type of incentive that could affect Michael's decision on joining the training, (8 marks)

Answers

Opportunity cost refers to the cost of choosing one option over another. It is the value of the best alternative foregone. In this scenario, Michael's opportunity cost of joining the rock climbing course is the value of the time he would have spent studying for his mid-term test.



The two components of total opportunity cost are explicit and implicit costs. Explicit costs are the out-of-pocket expenses that Michael will incur by joining the rock climbing course, such as the training fee of $360. Implicit costs, on the other hand, are the opportunity costs of the resources that Michael will have to give up by not studying for his mid-term test, such as the potential lower grade on the test.

Michael's total opportunity cost of joining the training would be the sum of explicit and implicit costs, which is $360 + the value of the time he would have spent studying for his mid-term test.

If the rock-climbing course offers a 10% off discount, it could be considered a price incentive. This incentive could affect Michael's decision to join the training because it would lower the explicit cost of joining the course. However, Michael would still have to consider the implicit costs of giving up his study time and the potential impact on his test grade.

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Longbow Lumber is purchasing a new horizontal resaw at a cost of $375,000. There is an additional $10,000 delivery and installation cost. The machine has a capital cost allowance (CCA) rate of 20%. What is the incremental undepreciated capital cost (UCC) for year 2? A. $375,000 B. $346,500 C. $385,000 D. $337,500 E. $192,500

Answers

The incremental undepreciated capital cost (UCC) for year 2 is $385,000. So, the correct option is C. $385,000.

Longbow Lumber is purchasing a new horizontal resaw for $375,000 with an additional $10,000 delivery and installation cost. The total cost is $385,000.

With a CCA rate of 20%, the incremental undepreciated capital cost (UCC) for year 2 can be calculated using the following formula: UCC = (Initial Cost + Delivery and Installation Cost) - CCA

Where:

Initial Cost = Cost of the horizontal resaw = $375,000

Delivery and Installation Cost = $10,000

CCA rate = 20% of the Initial Cost = 20% * $375,000 = $75,000

Substituting these values into the formula:

UCC = ($375,000 + $10,000) - $75,000

UCC = $385,000 - $75,000

UCC = $310,000

Therefore, the incremental undepreciated capital cost (UCC) for year 2 is $385,000. So, the correct option is C. $385,000.

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The incremental undepreciated capital cost (UCC) for year 2 is  $308,000. The correct option is (c).

It is possible to calculate the incremental UCC for year 2 as follows:

Capital cost of the asset plus delivery and installation costs, or $375,000 plus $10,000, is incremental UCC for year 1 of $385,000

CCA rate for year one is equal to 20% of incremental UCC for year one, or 20% times $385,000, or $77,000.

Depreciable value for year 1 is calculated as follows: Incremental UCC for year 1 minus CCA rate for year 1 ($385,000 minus $77,000 equals $308,000).

Depreciable value for year 1 divided by incremental UCC for year 2 equals $308,000.

As a result, year 2's incremental UCC is $308,000. The options given do not include the right response.

Most companies aim to increase their size and reach. There may be a variety of possibilities, including building a new, larger facility or buying out a competitor. The cost of capital for each proposed project is calculated before the corporation chooses one of these options. This shows how long it will take for the project to make up its initial investment and how much money it will make in the long run. But when choosing between its possibilities, the corporation must use a reasonable technique.

Complete Question:

Longbow Lumber is purchasing a new horizontal resaw at a cost of $375,000. There is an additional $10,000 delivery and installation cost. The machine has a capital cost allowance (CCA) rate of 20%. What is the incremental undepreciated capital cost (UCC) for year 2?

A. $375,000

B. $346,500

C. $308,000

D. $337,500

E. $192,500

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Suppose you think AppX stock is going to appreciate substantially in value in the next year. Say the stock’s current price, S0, is $3125, and a call option expiring in one year has an exercise price, X, of $300 and is selling at a price, C, of $6. With $6,000 to invest, you are considering three alternatives.
a. Invest all $6,000 in the stock, buying 20 shares.
b. Invest all $6,000 in 1,000 options (10 contracts).
c. Buy 100 options (one contract) for $600, and invest the remaining $5,400 in a money market fund paying 6% in interest over 6 months (12% per year).

Answers

The best option for you depends on your risk tolerance and investment goals. Option c) provides a balanced approach, but it's important to remember that all investments come with risks. It's important to do your research and make informed decisions before investing your money.

Suppose you believe that AppX stock is going to increase in value in the next year. You have $6,000 to invest and are considering three options. The first option is to invest all $6,000 in the stock, buying 20 shares. The second option is to invest all $6,000 in 1,000 call options with an exercise price of $300 and selling at $6 per option. The third option is to buy 100 call options for $600 and invest the remaining $5,400 in a money market fund paying 6% in interest over six months, or 12% per year.

Option a) investing all $6,000 in the stock, would give you ownership of 20 shares. If the stock appreciates substantially in value, then you stand to make a decent profit. However, if the stock does not increase in value or decreases in value, then you stand to lose money.

Option b) investing all $6,000 in 1,000 options, would give you the potential to make a larger profit than option a) if the stock appreciates substantially in value. However, you could also lose your entire investment if the stock does not increase in value or decreases in value.

Option c) buying 100 options for $600 and investing the remaining $5,400 in a money market fund paying 6% in interest over six months, or 12% per year. This option provides a balance between risk and potential reward. The 100 options give you the potential to make a profit if the stock appreciates in value, and the money market fund provides a steady return on investment. This option also provides some downside protection if the stock does not increase in value.

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You are considering adding a new software title to those published by your highly successful software company. If you add the new product, it will use capacity on your disk duplicating machines that you had planned on using for your flagship product, "Battlin Bobby." You had planned on using the unused capacity to start selling "BB" on the west coast in two years. You would eventually have had to purchase additional duplicating machines 10 years from today, but using the capacity for your new product will require moving this purchase up to 2 years from today. If the new machines will cost $115,000 and will be depreciated straight-line over a 5-year period to a zero salvage value, your marginal tax rate is 32 percent, and your cost of capital is 16 percent, what is the opportunity cost associated with using the unused capacity for the new product? (Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 2 decimal places.) please help me 7.06Social Reform Use this template to organize your blog post. This template is for you to record the facts. For this, you may use bullet points. You will then take the information you record on page one to write your blog post in complete sentences on page two. As the story opens, Meg is worried about the weather. What has the radio been warning people about all day URGENT PLEASE ANSWER 100 POINTS Using the functions below, analyze the change in the key features from f(x) to g(x). An asset has an installed cost of $1 million, a life of 10 years, a CCA rate of 30%, and a salvage value of $30,000. This asset can be leased for 10 years at a rate of $100,000 per year, payable at the beginning of each year. The lessee's marginal tax rate is 40% and borrowing cost is 12%. What is the appropriate present value of lease payments to be included in the calculation of the net advantage to leasing? the ________ promotes free trade by reducing obstacles to international commerce and enforcing fairness among nations in trading practices. Based on Danglars's reaction, the reader can infer the following implicit meaning: O Danglars is sharing a secret with Morrel. O Danglars speaks highly of Dants to Morrel. O Danglars is embarrassed about his behavior. O Danglars believes that Dants should have given him the letter. 1. what type of contact is between the ridpath sandstone and the kavalier shale? how did you determine this? You own a bond with a coupon rate of 6.6 percent and a yield to call of 7.5 percent. The bond currently sells for $1,092. If the bond is callable in five years, what is the call premium of the bond? (Do not round Intermediate calculations. Round your answer to 2 decimal places.) Call premium ____ a marketing organization claims that less than 15% of its employees are paid minimum wage. if a hypothesis test is performed that fails to reject the null hypothesis, how would this decision be interpreted? g Calculate the yield-to-maturity of a bond maturing in 10 yearsthat pays interest annually. The bond is currently trading at$958.73. The coupon rate is 8%. What is the current yield? What isthe YTM Will mark brainliest if answer is correct 3) Given the formula F=ma where * F represents force, *m represents mass and has units of kilograms (kg), and a represents acceleration and has units of meters per second squared (). Select an appropriate measurement unit for force. The beowulf poet does not describe the appearance of grendel's mother. What effect does this have on the story in experimental animals that are fed glucose containing a radioactive (but harmless) form of carbon (14c), within a few days, proteins, nucleotides, lipids and complex carbohydrates become radiolabeled with 14c. explain why. Scientists can induce____and organ development, creating an entire new plant, by controlling cytokinin and auxin concentrations in a growth medium. you have just purchased an ultrabook with an ssd expansion card that provides sata 3.0, pci express 3.0, and usb 3.0 ports. which type of expansion slot standard is your ultrabook using?answerhddm.2msatanvme How did laws change regarding children under the age of 12?O A. They would soon be required to learn a trade B. They were now required to work more hours C. They would soon be required to have a college degreeD. They were now required to attend school more Why portugal and ottoman turkey involvedin the war b/n chirstiankingdom and muslim sultanates The second-largest kind of intermediaries in the financial systems after banks are funds, sometimes referred to as investment companies or the asset management industry. Distinguish and describe briefly five (5) types of funds.