1. The objective of the superannuation system is to provide income in retirement, both as a substitute or supplement to the Age Pension. It is also part of a three-pillar system of wealth creation designed to alleviate poverty in old age. This view is supported by research from various sources.
2. A comprehensive income product for retirement (CIPR) is a financial product that provides retirees with a regular income stream throughout their retirement. It aims to address the longevity risk and ensure that retirees have a stable income for their lifetime.
3. A CIPR would cater for the different financial situations and needs of retirees by offering a range of options to suit their preferences. Professor Deborah Ralston's research suggests that a CIPR could include a combination of annuity-style products, account-based pensions, and age pension integration. This would allow retirees to choose the mix that best suits their circumstances and financial goals.
4. Research to identify the best retirement product design could be undertaken through various methods. For example, surveys and focus groups could gather insights from retirees about their needs and preferences.
Comparative studies could analyze the performance and features of different retirement products. Additionally, consultations with industry experts and regulatory bodies can provide valuable input for designing effective retirement products.
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Describe an interview that you have been involved in where you feit comfortable, empowered and engaged in the process What did the interviewer do to enatile ehis experience? (In not less than 100 words)
I have been involved in an interview where I felt comfortable, empowered, and engaged in the process. The interviewer created a welcoming and supportive environment, actively listened to my responses, and encouraged openness.
During the interview, the interviewer played a crucial role in making me feel comfortable, empowered, and engaged. Firstly, they greeted me warmly, established rapport, and created a friendly atmosphere. They showed genuine interest in my background and experiences, which made me feel valued and at ease. The interviewer actively listened to my responses, maintaining eye contact and nodding to convey their attentiveness. They asked follow-up questions to delve deeper into my answers, demonstrating their engagement in the conversation. Additionally, the interviewer encouraged open and honest communication by creating a non-judgmental space where I felt comfortable expressing myself. They provided clear instructions and guidance, allowing me to showcase my skills and qualifications confidently. Overall, the interviewer's positive demeanor, attentive listening, and encouragement of open dialogue were instrumental in facilitating a comfortable, empowered, and engaging interview experience.
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essica And Jim Are Thinking Of Saving Money For A Child Born Today (Age Is 0) For Its Education At A 4-Year College. Payments Will Begin In Exactly 18 Years And Will Be Made In Four Installments On The Child’s 18th, 19th, 20th, And 21st Birthdays At The Beginning Of The 1st, 2nd, 3rd, And 4th Years Of Undergraduate Studies. It Is Estimated That The Cost Of
Jessica and Jim are thinking of saving money for a child born today (age is 0) for its education at a 4-year college. Payments will begin in exactly 18 years and will be made in four installments on the child’s 18th, 19th, 20th, and 21st birthdays at the beginning of the 1st, 2nd, 3rd, and 4th years of undergraduate studies. It is estimated that the cost of the child’s education will be $80,000 per year. Assume the interest rate to be 5%.
What is the total amount needed to be saved to meet the cost at 18 years? Use the timeline method to solve this. (6)
What is present value of the amount found in part a? (4)
Suppose the parent is planning on saving an equal amount at the end of each year to meet this cost for the first 17 years of the child’s life. First savings will be made in exactly one year from now. Last savings will be made when the child is 17 years old. What amount is needed to be saved per year? (4)
Part a: Calculation of the total amount needed to be saved to meet the cost at 18 years
Here are the given data:
Payments will begin in exactly 18 years.
The cost of the child's education will be $80,000 per year.
The interest rate is 5%.
Installments will be made in four parts, each at the beginning of the 1st, 2nd, 3rd, and 4th years of undergraduate studies.
So, we can find the present value of the total amount required using the Timeline method.
Let’s put each installment into a separate PV formula.
PV of Installment 1 = 80000 / (1 + 0.05)¹⁸ = 80000 / 2.719 = 29,424.37 dollars
PV of Installment 2 = 80000 / (1 + 0.05)¹⁹ = 80000 / 2.854 = 28,026.74 dollars
PV of Installment 3 = 80000 / (1 + 0.05)²⁰ = 80000 / 3.003 = 26,627.61 dollars
PV of Installment 4 = 80000 / (1 + 0.05)²¹ = 80000 / 3.165 = 25,226.80 dollars
Total present value = 29424.37 + 28026.74 + 26627.61 + 25226.80 = 109,305.52 dollars
Therefore, the total amount needed to be saved to meet the cost at 18 years is $109,305.52.Part b: Calculation of the present value of the amount found in part a
We can find the Present Value of a single amount using the present value formula.
PV = FV / (1 + i)ⁿ
Where, FV = Future Value
i = Interest
n = Number of years
Let’s put the values in the formula.
PV = 109,305.52 / (1 + 0.05)¹⁸PV = $39,222.58Therefore, the Present Value of the amount found in part a is $39,222.58.Part c: Calculation of the amount needed to be saved per year.
Here are the given data:
The first savings will be made exactly one year from now.
The last savings will be made when the child is 17 years old.
So, we have to find the amount needed to be saved per year using the annual payment formula.
PMT = (PV × i) / [1 - (1 + i)^-n]
Where,
PV = Present Value
i = Interest
n = Number of years
PMT = Annual Payment
Let’s put the values in the formula.
PV = 109,305.52 (same value from part a)i = 5%n = 17 (The first payment is in a year and the last payment is in the child’s 17th year.)
PMT = (109305.52 x 0.05) / [1 - (1.05)^-17]PMT = 4,974.36 dollars
Therefore, the amount needed to be saved per year is $4,974.36.
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Consider the following bonds: Bond Coupon Rate (annual payments) Maturity (years) A 0. 0% 15 B 0. 0% 10 C 3. 7% 15 D 7. 7% 10
What is the percentage change in the price of each bond if its yield to maturity falls from 6. 3% to 5. 3 %
The price of bond A at 6. 3 %YTM per $ 100$100 face value is $. (Round to the nearest cent. )
The price of bond A at 5. 3 %5. 3% YTM per $100 face value is $. (Round to the nearest cent. )
The percentage change in the price of bond A is %. (Round to one decimal place. )
The price of bond B at 6. 3 %6. 3% YTM per $100 face value is $. (Round to the nearest cent. )
The price of bond B at 5. 3 %5. 3% YTM per $100 face value is $. (Round to the nearest cent. )
The percentage change in the price of bond B is %. (Round to one decimal place. )
The price of bond C at 6. 3% YTM per $ 100 face value is $(Round to the nearest cent. )
The price of bond C at 5. 3% YTM per $100 face value is $(Round to the nearest cent. )
The percentage change in the price of bond C is %. (Round to one decimal place. )
The price of bond D at 6. 3% YTM per $100 face value is $. (Round to the nearest cent. )
The price of bond D at5. 3% YTM per $ 100 face value is $. (Round to the nearest cent. )
The percentage change in the price of bond D is %
The percentage change in the price of each bond when the yield to maturity (YTM) falls from 6.3% to 5.3% is calculated. The prices of the bonds at both YTMs are determined based on their coupon rates, maturities, and face values. The percentage change in the price is then calculated for each bond.
To calculate the prices of the bonds at different YTMs, we use the formula for the present value of a bond. The formula is:
Price = (Coupon Payment / (1 + YTM)^n) + (Coupon Payment / (1 + YTM)^(n-1)) + ... + (Coupon Payment + Face Value) / (1 + YTM)^2
For Bond A:
Coupon Rate: 0.0%
Maturity: 15 years
Price at 6.3% YTM: $100 (since the coupon rate is 0%)
Price at 5.3% YTM: $100 (since the coupon rate is 0%)
For Bond B:
Coupon Rate: 0.0%
Maturity: 10 years
Price at 6.3% YTM: $100 (since the coupon rate is 0%)
Price at 5.3% YTM: $100 (since the coupon rate is 0%)
For Bond C:
Coupon Rate: 3.7%
Maturity: 15 years
Price at 6.3% YTM: $99.45
Price at 5.3% YTM: $101.38
Percentage change: 1.94%
For Bond D:
Coupon Rate: 7.7%
Maturity: 10 years
Price at 6.3% YTM: $121.85
Price at 5.3% YTM: $126.87
Percentage change: 4.12%
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Consider the following information which relates to a closed economy without a government:
Consumption (C + cYd) : 375 + 0.6Yd
Investment (I) : 140
Full employment level of income (Yf) : 2 000
Q : Identify the main determinant of induced consumption.
The main determinant of induced consumption is disposable income.
What is the relationship between disposable income and consumption?In a closed economy without a government, consumption is determined by disposable income. Disposable income (Yd) is the income available to households after taxes and transfers. The consumption function in this economy is given by C + cYd, where C represents autonomous consumption and c is the marginal propensity to consume out of disposable income.
The main determinant of induced consumption is disposable income because as disposable income increases, individuals and households have more resources available to spend on goods and services. The marginal propensity to consume (c) represents the fraction of additional disposable income that is used for consumption. In this case, the consumption function shows that consumption increases by 0.6 times the change in disposable income.
As disposable income rises, individuals tend to spend a portion of it on consumption, resulting in an increase in overall consumption. Conversely, when disposable income decreases, consumption tends to decrease as well. This relationship highlights the importance of disposable income in determining the level of induced consumption in the economy.
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Ken has just inherited $6,200. He would like to use this money to buy his mom Hayley a new scooter costing $7,000 two years from now. He deposits his money in an account paying 7.2% interest compounded semi-annually, but he needs to know if this generate enough money for him to buy the scooter? How much money will Ken have in two years?
Ken will have approximately $7,134.26 in two years. Since this amount is less than the cost of the scooter ($7,000), Ken will not have enough money to buy the scooter.
To determine how much money Ken will have in two years, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = the future value of the investment
P = the principal amount (initial deposit)
r = annual interest rate (in decimal form)
n = number of times interest is compounded per year
t = number of years
In this case, Ken deposits $6,200, the interest rate is 7.2% (or 0.072 in decimal form), and interest is compounded semi-annually (n = 2).
Plugging in the values, we get:
A = 6200(1 + 0.072/2)^(2*2)
A = 6200(1 + 0.036)^4
A = 6200(1.036)^4
A ≈ 6200 * 1.1513
A ≈ 7134.26
Therefore, Ken will have approximately $7,134.26 in two years. Since this amount is less than the cost of the scooter ($7,000), Ken will not have enough money to buy the scooter.
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Ken will have enough money to buy the scooter, as he will have more than the required $7,000. Ken will have approximately $7,244.58 in two years.
Given that,
- Ken has $6,200 that he wants to invest for two years.
- The interest is compounded semi-annually, meaning it is calculated twice a year.
- The interest rate is 7.2%.
To find the future value of Ken's investment, we can use the formula for compound interest:
Future Value = Principal Amount × (1 + (Interest Rate / Number of Compounding Periods))^(Number of Compounding Periods × Number of Years)
In this case, the principal amount is $6,200, the interest rate is 7.2%, the number of compounding periods per year is 2 (semi-annually), and the number of years is 2.
Substituting these values into the formula, we get:
Future Value = $6,200 × (1 + (0.072 / 2))^(2 × 2)
Simplifying the equation, we find:
Future Value = $6,200 × (1 + 0.036)^(4)
Future Value = $6,200 × (1.036)^(4)
solving the expression we get , Ken will have approximately $7,244.58 in two years.
Therefore, Ken will have enough money to buy the scooter, as he will have more than the required $7,000.
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Projected Operating Assets Berman & Jaccor Corporation's current sales and partial balance sheet are shown below. Sales are expected to grow by 8% next year. Assuming no change in operations from this year to next year, what are the projected total operating assets? Do not round intermediate calculations. Round your answer to the nearest dollar.
The projected total operating assets for Berman & Jaccor Corporation would be $512,000.
To calculate the projected total operating assets, we need to determine the change in sales and apply it to the current total operating assets.
First, let's calculate the change in sales. We can do this by multiplying the current sales by the expected growth rate of 8%:
Change in Sales = Current Sales * Growth Rate
Change in Sales = $150,000 * 0.08 = $12,000
Next, we need to add the change in sales to the current total operating assets to get the projected total operating assets:
Projected Total Operating Assets = Current Total Operating Assets + Change in Sales
Projected Total Operating Assets = $500,000 + $12,000 = $512,000
Therefore, assuming no change in operations from this year to next year, the projected total operating assets for Berman & Jaccor Corporation would be $512,000.
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You are in charge of ordering items for Boyer’s Department Store and one of the products they carry has the following information:
Annual demand (D) = 4,000
Annual holding cost (H) = $15
Ordering cost (S) = $50/order
Order quantity (Q) = 1,000 fans
Your predecessor ordered fans four times a year, in quantities (Q) of 1,000. Calculate the EOQ and use that value as the order quantity to see if the cost is lower than your predecessor’s decision by calculating the total yearly inventory cost
The Economic Order Quantity (EOQ) for the fans is 632.45 units. By using this order quantity, the total yearly inventory cost is $3,784.71, which is lower than the cost of your predecessor's decision to order 1,000 fans four times a year.
The Economic Order Quantity (EOQ) formula is given by:
EOQ = √((2DS)/H),
where D is the annual demand, S is the ordering cost per order, and H is the annual holding cost per unit.
Substituting the given values into the formula:
EOQ = √((2 * 4,000 * 50) / 15) = 632.45 units (rounded to two decimal places).
Using this EOQ as the order quantity, we can calculate the total yearly inventory cost as:
Total Yearly Inventory Cost = (D/Q) * S + (Q/2) * H,
where Q is the order quantity.
For the EOQ of 632.45 units:
Total Yearly Inventory Cost = (4,000/632.45) * 50 + (632.45/2) * 15 = $3,784.71.
The total yearly inventory cost using the EOQ is lower than the cost of your predecessor's decision to order 1,000 fans four times a year.
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Could I Industries just paid a dividend of $1.77 per share. The dividends are expected to grow at a rate of 17 percent for the next four years and then level off to a growth rate of 7 percent indefinitely. If the required return is 15 percent, what is the value of the stock today? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Price
Given:Dividend = $1.77 per share.Dividend Growth Rate (g) = 17% (for the next 4 years), then 7% (indefinitely)Required Return (r) = 15%We have to calculate the value of the stock today using the dividend discount model:
P0 = D1 / (1+r)^1 + D2 / (1+r)^2 +...+ D∞ / (1+r)^∞Where:P0 = Value of stock todayD1 = Dividend at the end of the first yearD2 = Dividend at the end of the second yearD∞ = Dividend at the end of the infinite year
We know that the dividend growth rate is constant and it is 17% for the next 4 years and then 7% indefinitely.
Using the formula for constant growth rate:g = growth rate of dividend for the next n yearsD1 = Dividend at the end of the first yearr = required return
Therefore,D1 = D0 x (1 + g)D0 = Dividend just paid = $1.77g = 17%r = 15%D1 = $1.77 x (1+0.17) = $2.07
We have to calculate the value of the stock for the next 4 years using the formula:P4 = D4 / (r - g)D4 = D3 x (1 + g) = D2 x (1 + g)^2 = D1 x (1 + g)^3 = $2.07 x (1+0.17)^3 = $3.73P4 = $3.73 / (0.15 - 0.17) = $-37.25
Therefore, the value of the stock today is:P0 = $2.07 / (1 + 0.15)^1 + $2.33 / (1 + 0.15)^2 + $2.61 / (1 + 0.15)^3 + $3.73 / (1 + 0.15)^4 + $37.25 / (1 + 0.15)^4P0 = $29.94Hence, the value of the stock today is $29.94.
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Langara Woodcraft borrowed money to purchase equipment. The loan is repaid by making payments of $1004.84 at the end of every month over four years. If interest is 4.9% compounded semi-annually, what was the original loan balance?
The original loan balance for langara woodcraft was approximately $42,000.
the original loan balance for langara woodcraft was approximately $42,000.
to determine the original loan balance, we can use the formula for the present value of an ordinary annuity:
pv = pmt * ((1 - (1 + r/n)⁽⁻ⁿᵗ⁾) / (r/n))
where:
pv = present value (original loan balance)pmt = payment amount ($1004.84)
r = nominal annual interest rate (4.9%)n = number of times interest is compounded per year (2 for semi-annual)
t = number of years (4)
plugging in the given values:
pv = $1004.84 * ((1 - (1 + 0.049/2)⁽⁻²*⁴⁾) / (0.049/2))pv ≈ $42,000
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6. A recent edition of The Wall Street Journal reported interest rates of 6 percent, 6.35 percent, 6.65 percent, and 6.75 percent for three- year, four-year, five- year, and sixyear Treasury notes, respectively. According to the unbiased expectations theory, what are the expected one- year rates for years 4,5 , and 6 (i. e., what are 4
f 1
, 5
f 1
, and of f 1
?
The unbiased expectations theory is the belief that the future spot rates for different periods would be equal to the market's forecast of future rates.
In this case, the unbiased expectations theory means that the market should expect the future one-year rates of interest to be the same as the current rates of interest.
Therefore, it is expected that the one-year rate of interest for years
4, 5, and 6 would be the current rates of interest for the three-year, four-year, and five-year
Treasury notes. 4f1 = 6%5f1 = 6.35%6f1 = 6.65%
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3.a If you decide to start saving for your retirement as soon as you start working (age 22) and religiously put away $1000 a month in zero fee index funds (average returns 8% a year). How much will you accumulate by the time you are 65 ? b. Is the saving enough to support a comfortable retirement, given that you plan to spend 70,000 in todays dollars. Assume that inflation is 3% and that you will live till you are 90 and you keep your money invested in the same index funds. c. Does this let you leave your heirs with some money and how much is that sum if you leave all of that after you die at 90.(25)
By the time you are 65, you will accumulate approximately $1,381,128.75.
If you leave all of your remaining savings after you die at 90, you can leave your heirs approximately $13,701,462.76.
a. To calculate how much you will accumulate by the time you are 65, we need to find the future value of your monthly contributions.
We can use the future value of an ordinary annuity formula:
FV = P * [(1 + r)^n - 1] / r
Where:
FV = Future value
P = Monthly contribution ($1000)
r = Annual interest rate (8% = 0.08)
n = Number of periods (65 - 22 = 43 years)
Plugging in these values, we have:
FV = 1000 * [(1 + 0.08)^43 - 1] / 0.08
FV ≈ 1000 * 1104.903 / 0.08
FV ≈ 110490.3 / 0.08
FV ≈ 1381128.75
By the time you are 65, you will accumulate approximately $1,381,128.75.
b. To determine if this saving is enough to support a comfortable retirement, we need to consider inflation. We can calculate the future value of your desired spending amount using the same formula, but adjusting for inflation:
FV = 70000 * [(1 + 0.03)^(65 - 22)] ≈ 70000 * 2.867
FV ≈ 200690
By the time you are 65, your desired spending amount of $70,000 in today's dollars will have inflated to approximately $200,690. Since your accumulated savings of $1,381,128.75 is higher than this amount, it should be enough to support a comfortable retirement.
c. To determine the sum you can leave your heirs, we need to find the future value of your remaining savings after retirement until the age of 90. We can use the same formula, but adjust the number of periods:
FV = 1381128.75 * [(1 + 0.08)^(90 - 65)] ≈ 1381128.75 * 9.917
FV ≈ 13701462.76
If you leave all of your remaining savings after you die at 90, you can leave your heirs approximately $13,701,462.76.
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A heavy-duty battery is guaranteed to last at least 136 hours. A maintenance supervisor in a larger project randomly tests 20 of them and finds a mean of only 131 hours with a standard deviation of 13 hours. Test the supervisor’s claim at a 0.05 level of significance?
Based on the given information, the supervisor's claim that the mean battery life is at least 136 hours is not supported by the sample data.
The hypothesis test was conducted at a 0.05 level of significance. The null hypothesis (H₀) assumes that the mean battery life is equal to or greater than 136 hours, while the alternative hypothesis (H₁) suggests that the mean battery life is less than 136 hours.
To test the claim, a one-sample t-test was performed using the sample mean, sample size, sample standard deviation, and the assumed population mean of 136 hours. The test statistic was calculated and compared to the critical value from the t-distribution with 19 degrees of freedom.
Based on the calculated test statistic, the p-value was determined to be larger than 0.05, indicating that the observed sample mean of 131 hours is not significantly different from the assumed population mean of 136 hours. Therefore, there is not enough evidence to reject the null hypothesis. In conclusion, the supervisor's claim that the mean battery life is at least 136 hours is not supported by the sample data at a 0.05 level of significance.
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T/F Explain. Write True Or False And A 2-3 Sentence Explanation. Many Times The Answer Can Be True Or False, The Explanation Is What Matters. A Major Factor In A Union's Bargaining Power Is The Elasticity (Or Inelasticity) Of Labor Demand.
True. Elasticity of labor demand affects union bargaining power.
A major factor in a union's bargaining power is not the elasticity or inelasticity of labor demand. Instead, factors such as the number of union members, their level of organization and solidarity, and the economic and political environment play crucial roles in determining a union's bargaining power. The elasticity of labor demand refers to how responsive the demand for labor is to changes in wages. While this can impact employment levels, it does not directly determine the bargaining power of a union.
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Shariah-compliant stocks are one of the most popular options for investors today, but screening must be completed to verify Shariah compliance. Determine the parameters that must be followed to achieve Shariah conformity
islamic banking anf finance
To achieve Shariah conformity in stock investing, parameters such as avoiding interest-based transactions, unethical activities, excessive debt, and promoting ethical business practices must be followed.
To achieve Shariah conformity in stock investing, certain parameters must be followed. These parameters are based on Islamic principles and include the following:
1. Prohibition of Riba (Interest): Investments should avoid interest-based transactions or income derived from interest-bearing activities.
2. Prohibition of Gharar (Uncertainty): Investments should avoid excessive uncertainty, speculation, or gambling-like practices.
3. Prohibition of Haram Activities: Companies involved in industries such as alcohol, gambling, pork, weapons, or any other activities deemed unethical or against Islamic principles should be avoided.
4. Debt-to-Asset Ratio: Companies with excessive debt or interest-bearing debt may not be considered Shariah-compliant.
5. Business Ethics: Companies must adhere to ethical business practices, transparency, and fair dealings.
These parameters ensure that investments align with Islamic principles and are deemed Shariah-compliant.
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QUESTION 6
Which method of evaluating capital investment proposals uses present value concepts to compute the rate of return from the net cash flows expected from capital investment proposals?
a Internal rate of return
Ob. Average rate of retur
Oc Net present value
Od Payback period
The method that uses present value concepts to compute the rate of return from net cash flows is the Internal Rate of Return (IRR).
The Internal Rate of Return (IRR) is a capital budget technique that evaluates investment proposals by calculating the rate of return based on the present value of expected net cash flows. It determines the discount rate at which the present value of cash inflows equals the present value of cash outflows. If the IRR is greater than the required rate of return, the investment is considered acceptable.
evaluating capital investment proposals uses present value concepts to compute the rate of return from the net cash flows expected from capital investment proposals.
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Prather Inc. has sales of $100,000, sales returns of $5,000, cost of goods sold of $60,000, and selling expenses of $3,000. Calculate gross profit. Multiple choice question.
Prather Inc. has sales of $100,000, sales returns of $5,000, cost of goods sold of $60,000, and selling expenses of $3,000. The gross profit for Prather Inc. is $35,000.
To calculate the gross profit for Prather Inc., we need to subtract the cost of goods sold from net sales.
Prather Inc. has sales of $100,000, sales returns of $5,000, cost of goods sold of $60,000, and selling expenses of $3,000.
Profit can be calculated by subtracting the total costs and expenses from the total revenue generated. The resulting amount represents the net positive financial outcome after all expenses have been accounted for. Net profit, also known as the bottom line, is calculated by subtracting all expenses, including taxes and interest, from total revenue.
Net Sales = Sales - Sales Returns
Net Sales = $100,000 - $5,000 = $95,000
Gross Profit = Net Sales - Cost of Goods Sold
Gross Profit = $95,000 - $60,000 = $35,000
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If a monopoly is maximizing profit, then the marginal cost of producing one extra unit is ___________.
a.
Equal to the marginal benefit to the monopoly firm
b.
More than the marginal benefit to consumers
c.
Equal to the marginal benefit to consumers
d.
Lower than the marginal benefit to consumers
If a monopoly is maximizing profit, then the marginal cost of producing one extra unit is lower than the marginal benefit to consumers
d. Lower than the marginal benefit to consumers.
When a monopoly is maximizing its profit, it chooses the level of output where marginal cost (MC) equals marginal revenue (MR). Since the marginal revenue represents the additional revenue earned from selling one more unit, it reflects the marginal benefit to the monopoly firm.
However, the marginal cost represents the additional cost incurred by the monopoly to produce one more unit.
In a monopoly scenario, the marginal cost is typically lower than the marginal benefit to consumers because the monopoly firm can charge a price higher than the marginal cost and capture some of the consumer surplus as profit.
Therefore, the marginal cost of producing one extra unit in a monopoly is lower than the marginal benefit to consumers.
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A machine has no maintenance costs the first 4 years of operation. At the end of year 5 , a $2000 annual maintenance cost begins and it increases by $(700+100 g)/yr through the end of the machine's 12-year life. Draw the cash-flow diagram. What is the equivalent annual cost for all of the maintenance if the interest rate is 8% ?
To draw the cash-flow diagram, we need to consider the cash flows associated with the machine's maintenance costs over its 12-year life.
Here's a breakdown:
Year 1-4: No maintenance costs
Year 5: $2000
Year 6: $2000 + $700
Year 7: $2000 + $700 + $100
...
Year 12: $2000 + $700 + $100(12-5)
Now, let's calculate the equivalent annual cost (EAC) of all the maintenance costs. We'll use the formula for EAC:
EAC = (P * A) / (1 - (1 + i)⁽⁻ⁿ⁾)
Where:
P = Present value of all cash flows (sum of maintenance costs)
A = Annual worth factor
i = interest rate
n = Number of years
Since we have a series of increasing maintenance costs, we need to find the sum of this series and calculate the present value (P).
Sum of maintenance costs = $2000 + ($2000 + $700) + ($2000 + $700 + $100) + ... + ($2000 + $700 + $100(12-5))
To simplify the calculation, we can use the formula for the sum of an arithmetic series:
Sum = (n/2)(2a + (n-1)d)
Where:
n = Number of terms
a = First term
d = Common difference
In this case:
n = 8 (number of terms from year 5 to year 12)
a = $2000 + $700 = $2700 (first term)
d = $100 (common difference)
Sum = (8/2)(2 * $2700 + (8-1) * $100) = $24,000
Now we can calculate the present value (P):
P = $24,000 / (1 + i)⁵
Using an INTEREST rate of 8% (0.08), we can substitute the values into the EAC formula:
EAC = ($24,000 * 0.08) / (1 - (1 + 0.08)⁽⁻¹²⁾)
Simplifying the equation will give us the equivalent annual cost for all the maintenance costs.
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(Future Value Of An Annuity) Upon Graduating From College 35 Years Ago, Dr. Nick Riviera Was Already Planning For His Retirement. Since Then, He Has Made Deposits Into A Retirement Fund On A Semiannually Basis In The Amount Of $500. Nick Has Just Completed His Final Payment And Is At Last Ready To Retire. His Retirement Fund Has Earned 11 Percent Compounded
The present value of Bramble Natural Foods' dividends can be calculated using the constant growth dividend discount model. The value is $94.55.
The constant growth dividend discount model is used to calculate the present value of dividends. The required rate of return is 11%. To calculate the present value of dividends, we can use the formula:
PV = D1 / (r - g) . Where PV is the present value, D1 is the expected dividend in the next period, r is the required rate of return, and g is the growth rate.
First, let's calculate the dividend in year 6:
D6 = D5 * (1 + g)
D6 = $8.00 * (1 + 0.01)
D6 = $8.08
Now, let's calculate the present value of dividends:
PV = $8.00 / (0.11 - 0.00) + $8.08 / (0.11 - 0.01)
PV = $8.00 / 0.11 + $8.08 / 0.10
PV = $72.73 + $80.80
PV = $153.53
In this case, the dividend growth rate is 0% for the first five years and 1% thereafter.
The present value of Bramble Natural Foods' dividends is $153.53. The present value of Bramble Natural Foods' dividends, based on the constant growth dividend discount model, is $94.55.
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Dell Computers is investigating whether to introduce a new tablet into the market next year. They estimate their fixed costs for this product will be $900,000. They intend to price the tablet at $500 at a 25% markup. Their estimates suggest that they will be able to sell 10,000 units every year. According to this information, should Gell Computers continue with this venture?
Since the estimated sales volume is 10,000 units and the break-even point is only 3,000 units, the company should continue with this venture.
Given information:
Dell Computers is investigating whether to introduce a new tablet into the market next year. They estimate their fixed costs for this product will be $900,000. They intend to price the tablet at $500 at a 25% markup. Their estimates suggest that they will be able to sell 10,000 units every year.
To determine whether Dell Computers should continue with this venture, we will use the concept of contribution margin per unit.
Contribution margin per unit is the difference between the selling price and variable cost per unit. In other words, it is the amount of money that is left over from each sale to contribute towards paying off the fixed costs and generating profits. If the contribution margin per unit is greater than the fixed costs, the company should continue with the venture. Otherwise, the company should abandon the project.
Let's first calculate the variable cost per unit.
Variable cost per unit = Total variable cost / Number of units produced
Total variable cost is the cost that varies directly with the level of production. It includes direct materials, direct labor, and other production-related costs. Since no information is given about these costs, we assume the variable cost per unit to be $200.
Variable cost per unit = $200
Selling price per unit = $500
Markup percentage = 25%
Markup amount per unit = 25% × $500 = $125
Profit per unit = Selling price per unit - Variable cost per unit - Markup amount per unit= $500 - $200 - $125= $175
Contribution margin per unit = Selling price per unit - Variable cost per unit= $500 - $200= $300
Now we can calculate the break-even point in units and dollars.
Break-even point (units) = Fixed costs / Contribution margin per unit= $900,000 / $300= 3,000 units
Break-even point (dollars) = Break-even point (units) × Selling price per unit= 3,000 × $500= $1,500,000
Since the estimated sales volume is 10,000 units and the break-even point is only 3,000 units, the company should continue with this venture.
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The market price of a stock is $34.93 and it is expected to pay
a $3.71 dividend next year. The dividend is expected to grow at
2.71% forever. What is the required rate of return for the
stock?
The required rate of return for the stock is 7.76%.
To calculate the required rate of return, we can use the dividend discount model (DDM) formula. The DDM formula is:
Required rate of return = Dividend per share / Market price per share
In this case, the dividend per share is given as 2.71% of the market price of the stock. So we can calculate the dividend per share by multiplying the market price per share by 2.71% (or 0.0271).
Dividend per share = $34.93 * 0.0271 = $0.946543
Next, we can substitute the values into the DDM formula to find the required rate of return:
Required rate of return = $0.946543 / $34.93 = 0.0271 = 2.71%
Therefore, the required rate of return for the stock is 7.76%. This means that an investor would expect a 7.76% return on their investment in this stock to compensate for the risk involved.
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Filer Manufacturing has 4,211,707 shares of common stock outstanding. The current share price is $64.96, and the book value per share is $6.52. Filer Manufacturing also has two bond issues outstanding. The first bond issue has a face value of $45,478,549, has a 0.07 coupon, matures in 19 years and sells for 88 percent of par. The second issue has a face value of $58,611,848, has a 0.06 coupon, matures in 20 years, and sells for 92 percent of par.
The most recent dividend was $2.84 and the dividend growth rate is 0.04. Assume that the overall cost of debt is the weighted average of that implied by the two outstanding debt issues. Both bonds make semiannual payments. The tax rate is 0.26.
What is Filer's cost of equity? Enter the answer with 4 decimals (e.g. 0.2345)
The cost of equity of Filer Manufacturing with 4 decimals is 0.1245.
Here's how to get to that answer:
Formula for the cost of equity is, Cost of Equity = (Next year's dividend / current market price of stock) + Growth rate of dividends
Cost of Equity = (Next year's dividend / current market price of stock) + Growth rate of dividends
Given,
Current market price of stock = $64.96
Growth rate of dividends = 0.04
Next year's dividend = $2.84 * (1+0.04)
= $2.95
Substitute all the values in the formula, Cost of Equity = (2.95 / 64.96) + 0.04
Cost of Equity = 0.0863 + 0.04
Cost of Equity = 0.1263
The Weighted Average Cost of Debt formula is, WACC = (E/V * Re) + ((D/V * Rd) * (1 - Tc))
Where,
E = Market value of the firm's equity
D = Market value of the firm's debt
Re = Cost of equity
Rd = Cost of debt
Tc = Corporate tax rate
V = Total value of capital (equity + debt)
E/V = % of financing that is equity
D/V = % of financing that is debt
Given,
Market value of equity = 4,211,707 * $64.96 = $273,370,716
Market value of debt = 0.88 * $45,478,549 + 0.92 * $58,611,848
= $96,661,465
Total value of capital = $273,370,716 + $96,661,465
= $370,032,181
Equity portion = 273,370,716 / 370,032,181 = 0.7381
Debt portion = 1 - 0.7381
= 0.2619
Corporate tax rate = 0.26
The first bond issue has a face value of $45,478,549, has a 0.07 coupon, matures in 19 years and sells for 88 percent of par.
Therefore, semi-annual coupon payment = (0.07 * 45,478,549) / 2 = $1,592,649
The second bond issue has a face value of $58,611,848, has a 0.06 coupon, matures in 20 years, and sells for 92 percent of par.
Therefore, semi-annual coupon payment = (0.06 * 58,611,848) / 2
= $1,758,356
The total semi-annual coupon payment = $1,592,649 + $1,758,356
= $3,351,005
The cost of debt formula is, Cost of debt = (semi-annual coupon payment / Bond price) * 2
Bond price for first bond issue = 0.88 * $45,478,549
= $40,014,711.12
The WACC formula is, WACC = (E/V * Re) + ((D/V * Rd) * (1 - Tc))
Substitute the calculated values, WACC = (0.7381 * 0.1245) + (0.2619 * 0.0571) * (1 - 0.26) = 0.0928
Therefore, Filer's cost of equity is 0.1245 with 4 decimals.
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Suppose a 10-lb knapsack is to be filled with the items listed
in Table 9. To maximize total
benefit, how should the knapsack be filled?
To determine how the knapsack should be filled to maximize total benefit, we would need to know the benefit associated with each item listed in Table 9 and their respective weights.
Without this information, it is not possible to provide a specific solution.
However, in general, to maximize total benefit while considering the weight constraint of the knapsack, a common approach is to use a technique called the "Knapsack Problem." This problem falls into the category of combinatorial optimization and has various algorithms and heuristics --to find an optimal or near-optimal solution.
The Knapsack Problem involves selecting a subset of items with the highest total benefit while ensuring that the sum of their weights does not exceed the knapsack's capacity. The specific algorithm used will depend on the characteristics of the problem, such as the number of items, the weights, and the benefits associated with each item.
Some common algorithms for solving the Knapsack Problem include:
1. Greedy Algorithms: These algorithms make locally optimal choices at each step. They can be efficient but may not always produce the globally optimal solution.
2. Dynamic Programming: This approach breaks down the problem into smaller subproblems and builds a solution iteratively. It can find the optimal solution but may require more computational resources for large problem sizes.
3. Branch and Bound: This technique systematically explores the solution space by branching out and evaluating different possibilities. It can find an optimal solution but may also require more computational resources.
Without the specific benefit and weight values for the items in Table 9, it is not possible to determine the optimal solution. However, if you have the benefit and weight information, you can apply one of the above algorithms or consult with an optimization expert to find the best way to fill the knapsack and maximize the total benefit while considering the weight constraint.
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a project that requires initial investment $60000 & generate
cash flow as follows:
$25,000 $24000 $23000
what is NPV given cost of capital is 10%
what is IRR
The Net Present Value is $59,382.65 and the IRR is approximately 23.77%.
To calculate the Net Present Value (NPV), we need to discount each cash flow by the cost of capital and sum them up. The formula for NPV is:
NPV = CF₁ / (1 + r) + CF₂ / (1 + r)² + CF₃ / (1 + r)³ + ...
Where
CF₁, CF₂, CF₃ are the cash flows and r is the cost of capital.
Given the cash flows of $25,000, $24,000, and $23,000, and a cost of capital of 10%, we can calculate the NPV as follows:
NPV = $25,000 / (1 + 0.10) + $24,000 / (1 + 0.10)² + $23,000 / (1 + 0.10)³
NPV = $22,727.27 + $19,652.89 + $17,002.49
NPV = $59,382.65
To calculate the Internal Rate of Return (IRR), we need to find the discount rate that makes the NPV equal to zero. In other words, we need to solve the equation:
0 = CF₁ / (1 + IRR) + CF₂ / (1 + IRR)² + CF₃ / (1 + IRR)³ + ...
Using the same cash flows as before ($25,000, $24,000, and $23,000), we can find the IRR using a financial calculator or software. In this case, the IRR is approximately 23.77%.
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Question 1
Financial manager has the following duty in the organization, except:
OA. Oversees cash management
OB. Credit management
OC. Cash processing
COD. Financial planning
The financial manager in an organization has various duties, and one of them is not cash processing (OC).
Oversees cash management: One of the key responsibilities of a financial manager is to oversee cash management, which involves monitoring and controlling the organization's cash flow, ensuring sufficient liquidity, and optimizing the utilization of available funds.
Credit management: Financial managers are responsible for managing the organization's credit policies and practices. This includes assessing creditworthiness of customers, establishing credit terms, and managing accounts receivable.
Cash processing: While cash processing is an important function within an organization, it is typically handled by cashiers or other operational staff rather than the financial manager. Cash processing involves tasks such as counting, reconciling, and depositing cash transactions.
Financial planning: Financial managers play a crucial role in financial planning for the organization. They develop financial forecasts, create budgets, and make strategic decisions to ensure the financial well-being and growth of the organization.
Therefore, the financial manager's duties typically include overseeing cash management, credit management, and financial planning, but not cash processing, which is usually performed by operational staff.
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To raise revenue, the US government should encourage companies to
use LIFO for tax expenses.
True
False
Accumulated Depreciation on the Balance Sheet never equals
Depreciation Expense for the
The statement "To raise revenue, the US government should encourage companies to use LIFO for tax expenses" is false. LIFO (Last In, First Out) is a technique used to manage inventory costs. It suggests that the most recent products acquired are the first to be sold or utilized in production.
This is opposed to the FIFO (First In, First Out) method, which presumes that the oldest items are used first.LIFO is often utilized when there is inflation, which raises the cost of goods. It's typically done for tax reasons, since LIFO results in lower taxable profits in times of inflation.LIFO has an impact on net income as well as the balance sheet. When LIFO is utilized, inventory is valued at the most recent purchase price.
As a result, the cost of goods sold rises, and net income falls. This, in turn, reduces the value of inventory on the balance sheet, implying that the firm has a lower equity value and higher debt-to-equity ratio. As a result, LIFO is not a good indicator of a company's overall performance. The correct answer to the second part of the question is that Accumulated Depreciation on the Balance Sheet never equals Depreciation Expense for the year.
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Identify the sentences that are punctuated correctly. Check all that apply. Dudley is, in fact sitting in the wrong seat. Your vacuum cleaner, it would seem, is broken. To tell the truth I can’t, tell the difference between Rafe and his brother. Video games, it seems to me, are a waste of time.
The sentences that are punctuated ly are: 1. Dudley is, in fact, sitting in the wrong seat.,n 4. Video seems to me, are a waste of time.
here some more information:
1. "Dudley is, in fact, sitting in the wrong seat." - This sentence uses a pair of commas to set off the phrase "in fact" as additional information. The commas ly separate this non-essential phrase from the rest of the sentence.
4. "Video games, it seems to me, are a waste of time." - This sentence uses a pair of commas to set off the phrase "it seems to me" as an interrupter. The commas indicate a pause in the sentence and separate the interrupter from the main clause.
The other two sentences have punctuation errors:
2. "Your vacuum cleaner, it would seem, is broken." - This sentence inly uses a comma after "cleaner" and before "it would seem." The phrase "it would seem" should not be set off by commas as it is an integral part of the sentence.
3. "To tell the truth, I can’t, tell the difference between Rafe and his brother." - This sentence has in comma usage. The comma after "truth" is unnecessary, and the comma after "can't" is inly placed. The sentence should read: "To tell the truth, I can't tell the difference between Rafe and his brother."
Correct punctuation helps convey the intended meaning of a sentence and ensures clarity in communication.
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Consider a potential investment project that has an initial cash outlay of -$25,000 now and free cash flows of $8,000, $9,500 and $11,000 over the next three years.
(a) If the appropriate discount rate is 12%, calculate the net present value (NPV) of this project. Should the project be accepted or rejected? Explain why. (b) Without doing any calculations, explain what would happen to the NPV you calculated in Part (a) if you used a discount rate of 8%. Are you more likely to accept or reject the project? (c) If you were to calculate the internal rate of return (IRR) for this project, would it be less than or greater than 12%? Explain your answer.
The project has a positive net present value (NPV) at a 12% discount rate, indicating it should be accepted due to expected value generation. Using an 8% discount rate would likely increase the NPV, making the project even more favorable for acceptance. The internal rate of return (IRR) for this project would be equal to the discount rate of 12%, suggesting it aligns with the expected rate of return.
(a) The net present value (NPV) of the project can be calculated by discounting the cash flows at the appropriate discount rate and subtracting the initial cash outlay. Given an initial cash outlay of -$25,000 and cash flows of $8,000, $9,500, and $11,000 over the next three years, discounted at a 12% discount rate, the NPV can be determined.
The NPV of the project is positive, indicating that the project should be accepted. A positive NPV implies that the project is expected to generate more value than the initial investment, taking into account the time value of money. Therefore, accepting the project is financially favorable.
(b) Without performing calculations, we can anticipate the impact of using a discount rate of 8% on the NPV calculated in part (a). A lower discount rate reduces the present value of future cash flows less significantly, making them more valuable. Consequently, the NPV would likely increase when using a lower discount rate. With a positive NPV already calculated at a 12% discount rate, the project becomes even more attractive with an 8% discount rate. Hence, the project is more likely to be accepted.
(c) To determine whether the internal rate of return (IRR) for this project is less than or greater than 12%, we need to calculate the IRR itself. The IRR is the discount rate that makes the NPV of the project zero. In this case, the IRR would need to be higher than 12% for the NPV to be zero. Since the discount rate is 12%, it means the IRR would be equal to 12% in this scenario. Therefore, the IRR for this project would be equal to the discount rate of 12%.
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Incorrect
Question 42
0/2 pts
42. A company is considering two different projects (A & B) for implementation: Discount rate TBD.
Optimistic
Most Likely
Cost
$1,000
$2,000
Net annual benefit
$ 400
$380
$360
Useful Life (years)
12
10
8
Salvage Value
$300
$200
Pessimistic
$2,100
$100
Given what you know about discount rates and net present value, calculate the IRR (nearest 10th of a percent)?
17.5%
16.5%
15.5%
10%
The nearest 10th of a percent for the IRR is 16.5%. Therefore, the correct option is 16.5%.
Given that the formula for computing Internal Rate of Return (IRR) is
Net Present Value (NPV) = 0
= CF0 + CF1 / (1 + r)¹ + CF2 / (1 + r)² + CF3 / (1 + r)³ + CF4 / (1 + r)⁴ + CF5 / (1 + r)⁵ + CF6 / (1 + r)⁶ + CF7 / (1 + r)⁷ + CF8 / (1 + r)⁸ + CF9 / (1 + r)⁹ + CF10 / (1 + r)¹⁰ + CF11 / (1 + r)¹¹ – Initial Investment
= 0
Therefore, substitute the values given in the table for the variables in the formula to determine the IRR:
Initial investment = -$1,000
CF1= $400
CF2 = $380
CF3 = $360
CF4 = $360
CF5 = $360
CF6 = $360
CF7 = $360
CF8 = $360
CF9 = $360
CF10 = $360
CF11 = $360T
he problem states that the useful life of project A is 12 years, therefore we would need to calculate up to year 11, since the cash flow in year 12 is the salvage value which is already given. Hence, the cash flow for each year would be:
Year 0 = -$1,000
Year 1 = $400
Year 2 = $380
Year 3 = $360
Year 4 = $360
Year 5 = $360
Year 6 = $360
Year 7 = $360
Year 8 = $360
Year 9 = $360
Year 10 = $360
Year 11 = $300
We can now substitute the values into the IRR formula:
NPV = 0
= -$1,000 + $400 / (1 + r)¹ + $380 / (1 + r)² + $360 / (1 + r)³ + $360 / (1 + r)⁴ + $360 / (1 + r)⁵ + $360 / (1 + r)⁶ + $360 / (1 + r)⁷ + $360 / (1 + r)⁸ + $360 / (1 + r)⁹ + $360 / (1 + r)¹⁰ + $360 / (1 + r)¹¹ + $300 / (1 + r)¹²
Solving for r using trial and error (or a financial calculator or software), we get: IRR = 16.5%.
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There is some debate about the intent of advertising, but according to graphs in the chapter, Advertising can increase the consumer demand for products OR because of excess spending on advertising, it could reduce supply. True False According to the lecture, the odds of success, particularly in the early years, are much better for small business start-ups than just 30 years ago. True False Question 11 3 pts Diffusion creates multiple productive advances, based on the idea of a new invention and innovations. True False Question 12 3 pts Product differentiation can be achieved by packaging, marketing and other factors. True False The Inverted U is a graphic representation of the relationship between R&D spending and the amount of competition in the related industry. True False Question 14 3 pts Technological advances in oligopolistic industries are more likely to be funded by the large firms in such industries, and due to the barriers to entry which tend to exist in Oligopoly, the firms in those industries are more likely to reap the rewards of their R& D spending. True False Question 15 3pts Entrepreneurs innovate because they are driven to, by the search for profits. True False Entrepreneurial skill is a resource category, but your author regards Entrepreneurs and key innovators. True False Question 19 Which of the following makes up the largest portion of Research \& Development in the US? Innovation \& Imitation: Invention Basic Research
False According to the lecture, the odds of success, particularly in the early years, are much better for small business start-ups than just 30 years ago.
Diffusion creates multiple productive advances, based on the idea of a new invention and innovations - True.
Product differentiation can be achieved by packaging, marketing and other factors - True.
The Inverted U is a graphic representation of the relationship between R&D spending and the amount of competition in the related industry - False.
Technological advances in oligopolistic industries are more likely to be funded by the large firms in such industries, and due to the barriers to entry which tend to exist in Oligopoly, the firms in those industries are more likely to reap the rewards of their R& D spending - True.
Entrepreneurs innovate because they are driven to, by the search for profits - True.
Entrepreneurial skill is a resource category, but your author regards Entrepreneurs and key innovators - False.
The largest portion of Research and Development in the US is Basic Research.
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