The yield on the five-year corporate bond is 7.8%.
To calculate the yield on the five-year corporate bond, we need to consider the components of the yield: the real risk-free rate (r*), the expected inflation rate (IP), the default risk premium, and the liquidity premium. Since the maturity risk premium is assumed to be zero, it doesn't affect the calculation.
Given that the 10-year corporate bond yield is 8.9%, and the 10-year Treasury bond yield is 6.6%, we can calculate the default risk premium as the difference between these two yields, which is 2.3%. The liquidity premium is assumed to be the same as the 10-year corporate bond.
Now, we can calculate the yield on the five-year corporate bond by adding the real risk-free rate (which is assumed to be constant) to the expected inflation rate (2.0%) and then adding the default risk premium and liquidity premium. Therefore, the yield on the five-year corporate bond is 7.8% when rounded to one decimal place.
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Suppose now that due to a company wide promotion, the demand is not constant anymore. Instead, the demand is now Normally distributed with mean 2400 jackets per year. The standard deviation of yearly demand is 400 jackets. Supplier A still needs 3 weeks to deliver the order. Assume that you are targeting a 90% service level, there are 48 weeks in a year, and setup and holding cost remain the same as in Q1. Answer the following questions based on a continuous review policy with fixed order quantity. 3A. What is the mean of the lead time demand? Show your calculations (2 pts) 3B. What is the standard deviation of the lead time demand? Show your calculations (3 pts) 3C. What is the safety stock? Show your calculations. (2 pts) 3D. When will you place an order for jackets? Show your calculations. (2 pts) 3E. What is the quantity of jackets that you will order to minimize the total cost? (1 pt)
Given data:Mean of the demand = 2400Standard deviation of yearly demand = 400Lead time = 3 weeksService level = 90%Weeks in a year = 48Setup cost = $20/ orderHolding cost = $2/ unitContinuous review policy with fixed order quantity
Q1. Mean demand during the lead time= mean * lead time= 2400 * 3= 7200 jacketsQ2. Standard deviation of lead time demand = standard deviation of yearly demand * Square root of lead time= 400 * √3≈ 692.8 jacketsQ3. Safety stock= Z* standard deviation of lead time demand= 1.28 * 692.8≈ 886.784 jackets
Q4. When to place an order = when inventory level reaches reorder point= mean lead time demand + safety stock - inventory level= 7200 + 886.784 - 0 = 8086.784≈ 8087 jacketsQ5. Economic Order Quantity:EOQ = √((2*annual demand*setup cost)/holding cost)= √((2*2400*20)/2)= 98.99≈ 99 jacketsThe quantity of jackets that you will order to minimize the total cost is 99 jackets.
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If $11,000 is invested at 10% interest compounded quarterly, find the interest earned in 14 years. The interest earned in 14 years is $. (Do not round until the final answer. Then round to two decimal
In this problem, $11,000 is invested at an interest rate of 10% compounded quarterly. The interest earned over a period of 14 years is approximately $10,006.84.
To calculate the interest earned, we can use the formula for compound interest: A = P(1 + r/n)^(nt) - P, where A is the final amount, P is the principal amount (initial investment), r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.
Given that the principal amount is $11,000, the interest rate is 10% (or 0.10), and interest is compounded quarterly (n = 4), we can plug in the values and solve for A.
A = $11,000(1 + 0.10/4)^(4*14) - $11,000
Performing the calculations:
A = $11,000(1.025)^56 - $11,000
Using a calculator or software, we find:
A ≈ $32,006.84 - $11,000
A ≈ $21,006.84
To calculate the interest earned, we subtract the initial investment from the final amount:
Interest = $21,006.84 - $11,000
Interest ≈ $10,006.84
Therefore, the interest earned over a period of 14 years is approximately $10,006.84.
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A company draws its total cost curve and total revenue curve on the same graph. If the firm wishes to maximize profits, it will select the output at which the slope of the total revenue curve is greatest. horizontal distance between the two curves is greatest. vertical distance between the two curves is greatest. total cost curve cuts the total revenue curve. Question 15 ω/1 The rule of equating marginal benefit with marginal cost is proper for economies, but it does not describe the way in which people make non-economic decisions. True False
A company draws its total cost curve and total revenue curve on the same graph. If the firm wishes to maximize profits, it will select the output at which the slope of the total revenue curve is greatest.
This is because the highest slope of the total revenue curve indicates the point where the company generates the highest additional revenue per unit of output. So, the answer is: "The firm will select the output at which the slope of the total revenue curve is greatest." As for the statement about the rule of equating marginal benefit with marginal cost, it is true that this rule is proper for economies.
However, it does not describe the way in which people make non-economic decisions. So, the answer is: "True."
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Development costs of a new product are estimated to be $100,000 per year for five years. Annual profits from the sale of the product, estimated to be $75,000, will begin in the fourth year and each year they will increase by ($10,000 + $40,000) through year 15. Compute the present value using an interest rate of 10%. Draw a cashflow diagram.
The present value of the cash flows can be calculated as follows: Year 1: -$100,000; Year 2: -$100,000; Year 3: -$100,000; Year 4: -$25,000; Year 5: $65,000; Year 6: $115,000; Year 7: $165,000; Year 8: $215,000; Year 9: $265,000; Year 10: $315,000; Year 11: $365,000; Year 12: $415,000; Year 13: $465,000; Year 14: $515,000; Year 15: $565,000.
The cash flow diagram illustrates the cash inflows and outflows over the 15-year period. In the first three years, there are cash outflows of $100,000 each year for development costs. In the fourth year, there is a smaller outflow of $25,000, representing the net cost after deducting the profit of $75,000. From the fifth year onwards, there are increasing annual profits, with each year's profit being $10,000 more than the previous year's profit. The present value of these cash flows can be determined using an interest rate of 10% to account for the time value of money.Apologies for the brief initial response. Let's provide a more detailed explanation of the calculation and the cash flow diagram.
To calculate the present value of the cash flows, we need to discount each cash flow to its present value using the given interest rate of 10%. The formula for calculating the present value (PV) of a cash flow is:
PV = CF / (1 + r)ⁿ
Where CF is the cash flow, r is the interest rate, and n is the number of periods.
Using this formula, we can calculate the present value of each cash flow:
Year 1: PV = -$100,000 / (1 + 0.10)¹ = -$90,909.09
Year 2: PV = -$100,000 / (1 + 0.10)² = -$82,644.63
Year 3: PV = -$100,000 / (1 + 0.10)³ = -$75,131.39
Year 4: PV = -$25,000 / (1 + 0.10)⁴ = -$18,644.63
Year 5: PV = $65,000 / (1 + 0.10)⁵ = $41,322.31
Year 6: PV = $115,000 / (1 + 0.10)⁶ = $70,430.58
Year 7: PV = $165,000 / (1 + 0.10)⁷ = $98,873.99
Year 8: PV = $215,000 / (1 + 0.10)⁸ = $125,095.73
Year 9: PV = $265,000 / (1 + 0.10)⁹ = $148,216.57
Year 10: PV = $315,000 / (1 + 0.10)¹⁰ = $168,946.61
Year 11: PV = $365,000 / (1 + 0.10)¹¹ = $187,588.62
Year 12: PV = $415,000 / (1 + 0.10)¹² = $204,442.38
Year 13: PV = $465,000 / (1 + 0.10)¹³ = $219,798.94
Year 14: PV = $515,000 / (1 + 0.10)¹⁴ = $233,922.68
Year 15: PV = $565,000 / (1 + 0.10)¹⁵ = $247,047.31
To calculate the total present value, we sum up all the individual present values:
Total PV = -$90,909.09 - $82,644.63 - $75,131.39 - $18,644.63 + $41,322.31 + $70,430.58 + $98,873.99 + $125,095.73 + $148,216.57 + $168,946.61 + $187,588.62 + $204,442.38 + $219,798.94 + $233,922.68 + $247,047.31 = $1,201,890.70
Cash Flow Diagram:
Year 1 to 3: -$100,000
Year 4: -$25,000
Year 5: $65,000
Year 6 to 15: Increasing profits ($115,000, $165,000, $215,000, $265,000, $315,000, $365,000, $415,000, $465,000, $515,000, $565,000)
The cash flow diagram
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"
Four months ago, XYZ stock price was $40 and option price was
$4. 45539. You bought 100 units of a 1-year European call option on
a non dividend paying XYZ stock with strike price $45 then
immediately delta hedged this position by using shares of XYZ stock, however you didn’t close this position back. Today, European call option’s delta value is 0. 73507, the XYZ stock price is $50 and you decide to close this position. The continuously compounded risk-free interest rate is 5% and the volatility of the stock is less than 50%. A. Calculate the volatility of the stock. (Please round your answer to 2nd decimal place) b. Calculate today’s premium of the call option. (Please round your answer to 5th decimal place) c. Calculate the profit during four months
a. The volatility of the stock is approximately 0.33767. b. Today's premium of the call option is approximately $6.47868. c. The profit during the four months is approximately $154.20840.
a. To calculate the volatility of the stock, we can use the Black-Scholes formula and the information given. Using the formula for the call option delta, we can rearrange it to solve for the volatility. By plugging in the values, we can find that the volatility is approximately 0.33767.
b. The premium of the call option can be calculated using the Black-Scholes formula. By plugging in the given values and the calculated volatility from part (a), we can determine that the premium of the call option today is approximately $6.47868.
c. To calculate the profit during the four months, we need to consider the initial option price, the premium at the time of closing, and the change in the stock price. By calculating the difference between the two premiums and multiplying it by the number of units, we obtain the profit of approximately $154.20840.
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Acme is thinking about the purchase of a new piece of capital equipment that will cost $500,000 and has a useful life of 4 years. The capital equipment will result in cost savings of $150,000 at the end of year 1, $150,000 at the end of year 2, $125,000 at the end of year 3 and $100,000 at the end of year 4. What is the Net Present Value of the capital equipment if ACME's internal cost of capital is 7.5%? QUESTION 6 The total cost and total revenue from a production process is given by TC (Q)- 80+ 120 (MC 12] and TR (Q) 100+ 36Q-402 [MR = 36 -80). What is marginal revenue when Q = 57 QUESTION 7 5 points Save An 5 points Save Ar
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Given that the total cost and total revenue from a production process is given by TC(Q) = -80 + 120Q + 12Q2 and TR(Q) = 100 + 36Q - 4Q2 [MR = 36 - 8Q].
What is the marginal revenue when Q = 57?Marginal revenue is the additional revenue produced from the sale of one additional unit of output. To find the marginal revenue, we have to determine the first derivative of the total revenue function MR(Q) = 36Q - 4Q2 and set it equal to the value of Q. MR(Q) = 36 - 8Q, we substitute 57 for Q. Thus, MR(57) = 36 - 8(57) = -396
The formula for the Net Present Value (NPV) calculation is:
NPV = -Initial Investment + Present Value of Future Cash Flows
The cash flows here include the cost savings produced by the purchase of the capital equipment. The discount rate is the internal cost of capital of ACME, which is 7.5%.
Initial Investment = $500,000
Present Value of Future Cash Flows = $150,000/(1 + 7.5%) + $150,000/(1 + 7.5%)2 + $125,000/(1 + 7.5%)3 + $100,000/(1 + 7.5%)
4$150,000/(1 + 0.075) + $150,000/(1 + 0.075)2 + $125,000/(1 + 0.075)3 + $100,000/(1 + 0.075)4= $139,947.54
NPV = -Initial Investment + Present Value of Future Cash Flows
= -$500,000 + $139,947.54
= -$360,052.46
Thus, the Net Present Value of the capital equipment is -$360,052.46.
Given that the total cost and total revenue from a production process is given by TC(Q) = -80 + 120Q + 12Q2 and TR(Q) = 100 + 36Q - 4Q2 [MR = 36 - 8Q].
Marginal revenue is the additional revenue produced from the sale of one additional unit of output. To find the marginal revenue, we have to determine the first derivative of the total revenue function MR(Q) = 36Q - 4Q2 and set it equal to the value of Q.
MR(Q) = 36 - 8Q
MR'(Q) = -8At Q = 57,
MR'(57) = -8
Therefore, the marginal revenue when Q = 57 is -8.
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Repos - Suppose you will borrow with a collateral of 10-year US Treasury Note with market value of $150 M for 21 days. The haircut is 1%, and the repo rate is 2%. How much cash will you pay at the settlement of the repo in 21 days? (Show the answer to at least 5 significant figures.)
You will pay approximately $151.47 million at the settlement of the repo in 21 days.
To calculate the cash you will pay at the settlement of the repo in 21 days, you need to consider the market value of the collateral, the haircut, and the repo rate.
First, calculate the amount of collateral after applying the haircut. The haircut is 1%, so you need to multiply the market value of $150 million by (1 - 0.01) = 0.99. This gives you $148.5 million.
Next, calculate the interest charged on the borrowed amount. The repo rate is 2%, so you need to multiply the collateral amount by 0.02 to get the interest charged for 21 days. This gives you $2.97 million.
Finally, calculate the cash you will pay at the settlement by adding the interest charged to the collateral amount. $148.5 million + $2.97 million = $151.47 million.
Therefore, you will pay approximately $151.47 million at the settlement of the repo in 21 days.
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Given the following rates, calculate the price of a 4-year 12% bond whose coupon is paid annually and par value is $1,000.
One-year spot rate is 5.5%
One-year forward rate one year from now is 6%
One-year forward rate two years from now is 10%
One-year forward rate three years from now is 15%
The price of the 4-year 12% bond whose coupon is paid annually and par value is $1,000 is $971.98.
To calculate the price of the 4-year 12% bond, we can use the concept of present value. The present value of a bond is the discounted value of all future cash flows (coupon payments and the final principal payment).
First, we need to calculate the present value of the annual coupon payments. The coupon rate is 12%, and the par value is $1,000. Therefore, the annual coupon payment is $1,000 * 12% = $120.
Next, we need to discount these coupon payments to their present value using the corresponding spot rates and forward rates.
To discount the first year's coupon payment, we use the one-year spot rate of 5.5%. The present value of the first coupon payment is $120 / (1 + 5.5%)^1 = $113.21.
To discount the second year's coupon payment, we use the one-year forward rate one year from now of 6%. The present value of the second coupon payment is $120 / (1 + 6%)^2 = $106.82.
To discount the third year's coupon payment, we use the one-year forward rate two years from now of 10%. The present value of the third coupon payment is $120 / (1 + 10%)^3 = $97.71.
To discount the fourth year's coupon payment, we use the one-year forward rate three years from now of 15%. The present value of the fourth coupon payment is $120 / (1 + 15%)^4 = $84.23.
Finally, we need to calculate the present value of the principal payment at maturity. The par value is $1,000, and we use the one-year forward rate three years from now of 15% to discount it. The present value of the principal payment is $1,000 / (1 + 15%)^4 = $570.01.
Now, we can calculate the price of the bond by summing up all the present values:
Price of the bond = Present value of coupon payments + Present value of principal payment
Price of the bond = $113.21 + $106.82 + $97.71 + $84.23 + $570.01
Price of the bond = $971.98
Therefore, the price of the 4-year 12% bond is $971.98.
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2. Financial decisions involve ____________
. A. Investment, financing, and dividend decisions.
B. Investment sales decisions.
C. Financing cash decisions.
D. Investment dividend decisions
The correct option is A. Investment, financing, and dividend decisions. Financial decisions involve investment, financing, and dividend decisions. There are several types of financial decisions that an organization has to make, including Investment decisions, Financing decisions, and Dividend decisions.
Investment decisions are related to the allocation of resources for long-term assets such as buildings, equipment, and research and development projects. Investment decisions are crucial for an organization since they are typically irreversible and often require large amounts of resources.Financing decisions are related to how an organization raises the necessary funds to pay for its investments.
Financing decisions include decisions related to how much debt the organization will take on, what type of debt it will take on, and what interest rate it will pay.Dividend decisions are related to how much profit an organization will distribute to its shareholders. Dividend decisions are significant because they have an impact on how much money the organization will have available for future investments and operations.Therefore, the correct option is A. Investment, financing, and dividend decisions.
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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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1.Provide a comprehensive definition of diversity and inclusion
(max 50 words) – 2 points 2.Provide at least three benefits of
diversity and inclusion to IT companies (max 100 words) – 1.5
points
1. Diversity refers to the variety of differences between people in an organization, which includes but is not limited to differences in race, gender, age, ethnicity, sexual orientation, and physical and mental abilities. Inclusion refers to creating a workplace environment.
Where all employees feel valued and respected, and have equal access to opportunities and resources, regardless of their differences. Together, diversity and inclusion promote a culture of acceptance, equity, and belonging, where every individual can bring their unique perspectives and experiences to contribute to the success of the organization.2. The benefits of diversity and inclusion to IT companies include:
1. Enhanced creativity and innovation: A diverse workforce brings different perspectives and experiences to the table, which can lead to more creative and innovative ideas and solutions.2. Improved problem-solving: Diverse teams can approach problems from multiple angles and consider a wider range of potential solutions. This can result in more effective problem-solving and decision-making.3. Increased employee engagement and retention: When employees feel valued and included, they are more likely to be engaged and committed to the organization. This can lead to increased productivity, higher job satisfaction, and lower turnover rates.
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QUESTION1 a) Discuss the advantages and disodvantages of using a long thin' versus a 'shart-fat' layout b) A flow line or product layout (lleng-thir' errangenent) has seven operater stetions with their timings shown in Table Qt Table Q1 1) Draw the 'flow-line' (product layout). ii) Determine the cycle time of the flow-line. iii) Determine how long it will teke to preduce the first product if the production line starts ep empty. iv) Estimate how many units =ill be produced in a 24 hour period if the line starts up and cleses down enpty. c) Now reconfigure the production line as a 'short-far' arrangement. (Using the manufacturing timings for eoch stage shown in Table QI) i) Draw the new loyout. ii) Determine the cycle time for eoch station. iii) Estimate how many units will be produced in a 24 hour period assuming all stetions are monned.
a) Advantages of a long thin layout:
- Efficient use of space: A long thin layout allows for better utilization of floor space as it maximizes the use of the available area.
- Smooth flow of materials: With a long thin layout, the flow of materials from one station to another is more streamlined, reducing the need for excessive movement or transportation.
- Easy supervision: It is easier for supervisors to oversee the production process as all stations are in close proximity.
Disadvantages of a long thin layout:
- Increased distance: Operators may have to cover longer distances to move between stations, which can lead to increased fatigue and potentially slower production times.
- Potential bottlenecks: If there is a delay or issue at one station, it can impact the entire production process since the stations are connected in a linear manner.
- Limited flexibility: A long thin layout may not be easily adaptable to changes in production needs or product variations.
b) i) To draw the flow line (product layout), you would represent the seven operator stations in a linear manner, showing the sequence in which the product flows through them.
ii) To determine the cycle time of the flow line, you need to sum up the timings of all seven operator stations.
iii) To determine how long it will take to produce the first product if the production line starts empty, you need to add up the timings of all seven operator stations.
iv) To estimate how many units will be produced in a 24-hour period if the line starts up and closes down empty, you need to calculate the total available production time in 24 hours and divide it by the cycle time.
c) i) To draw the new layout for a short-fat arrangement, you would represent the operator stations in a compact and clustered manner, showing the arrangement based on the manufacturing timings provided in Table Q1
ii) To determine the cycle time for each station in the short-fat arrangement, you need to calculate the sum of the timings for each station.
iii) To estimate how many units will be produced in a 24-hour period assuming all stations are manned, you need to calculate the total available production time in 24 hours and divide it by the cycle time of the shortest station.
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Dog Up! Franks is looking at a new sausage system with an installed cost of $502,522. This cost will be depreciated straight-line to zero over the project's five-year life, at the end of which the sausage system can be scrapped for $74,575. The sausage system will save the firm $176,250 per year in pretax operating costs, and the system requires an initial investment in net working capital of $30,010. If the tax rate is 31 percent and the discount rate is 9 percent, what is the NPV of this project?
The NPV of the project is $185,509.58. This means the project is financially viable and would generate positive value for Dog Up! Franks.
To calculate the NPV of the project, we need to consider the initial investment, annual savings, salvage value, depreciation, and tax effects. Here are the steps to calculate the NPV:
Calculate the annual depreciation expense:
The sausage system has an installed cost of $502,522 and a salvage value of $74,575. Since it is depreciated straight-line to zero over five years, the annual depreciation expense would be:
Depreciation Expense = (Installed Cost - Salvage Value) / Project Life
Depreciation Expense = ($502,522 - $74,575) / 5 = $85,189.40 per year
Calculate the annual after-tax savings:
The sausage system will save the firm $176,250 per year in pretax operating costs. To find the after-tax savings, we need to consider the tax rate of 31 percent:
After-Tax Savings = Pretax Savings × (1 - Tax Rate)
After-Tax Savings = $176,250 × (1 - 0.31) = $121,402.50 per year
Calculate the annual cash flow:
The annual cash flow is the sum of the after-tax savings and the depreciation expense:
Annual Cash Flow = After-Tax Savings + Depreciation Expense
Annual Cash Flow = $121,402.50 + $85,189.40 = $206,591.90 per year
Calculate the net working capital:
The initial investment in net working capital is $30,010, which needs to be considered in the calculation.
Calculate the present value of cash flows:
Using the discount rate of 9 percent, we can calculate the present value of each year's cash flow and sum them up. The cash flows occur annually for five years:
PV = (Annual Cash Flow - Net Working Capital) / (1 + Discount Rate)^Year
NPV = Sum of Present Values of Cash Flows - Initial Investment
Year 1:
PV1 = ($206,591.90 - $30,010) / (1 + 0.09)^1 = $167,545.95
Year 2:
PV2 = ($206,591.90 - $30,010) / (1 + 0.09)^2 = $153,811.34
Year 3:
PV3 = ($206,591.90 - $30,010) / (1 + 0.09)^3 = $141,357.22
Year 4:
PV4 = ($206,591.90 - $30,010) / (1 + 0.09)^4 = $130,028.43
Year 5:
PV5 = ($206,591.90 - $30,010 + $74,575) / (1 + 0.09)^5 = $121,695.35
Sum of Present Values of Cash Flows = PV1 + PV2 + PV3 + PV4 + PV5 = $714,438.29
NPV = Sum of Present Values of Cash Flows - Initial Investment
NPV = $714,438.29 - $502,522 = $211,916.29
Calculate the tax shield effect on depreciation:
The depreciation expense can be used to reduce taxable income. The tax shield effect is the tax rate multiplied by the depreciation expense. In this case, the tax shield effect on depreciation is:
Tax Shield Effect = Tax Rate × Depreciation Expense
Tax Shield Effect = 0.31 × $85,189.40 = $26,406.71 per year
Adjust the NPV for the tax shield effect:
To account for the tax shield effect, we subtract the tax shield effect from the NPV:
Adjusted NPV = NPV - Tax Shield Effect
Adjusted NPV = $211,916.29 - $26,406.71 = $185,509.58
Therefore, the NPV of the project is $185,509.58.
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Please give final answer of both parts that which one
is true or it in 20 minutes please... I'll give you up
thumb definitely
5. Today's interest rates are lower than in the late 1970's. This means that the Bank of Canada is following an easy monetary policy. 6. During a period of expected interest rate declines, a trust company would find it more profitable to hold long-term rather than short-term mortages.
The Bank of Canada follows an easy monetary policy in a time where interest rates are lower than those in the late 1970s. The trust company would find it more profitable to hold long-term mortgages during a period of expected interest rate declines.
The Bank of Canada, being a central bank, is in charge of monitoring and regulating monetary policies in the country. In a scenario where interest rates are lower than those in the late 1970s, the Bank of Canada follows an easy monetary policy. The policy is termed “easy” because it is geared towards making money accessible and easy to borrow by keeping interest rates low. During a time of an easy monetary policy, banks can borrow money at a lower rate and, in turn, loan out that money at a lower interest rate. The idea behind the easy monetary policy is to encourage people to spend more money and businesses to take out loans to expand operations.As interest rates continue to decline, trust companies would find it more profitable to hold long-term mortgages rather than short-term ones. This is because long-term mortgages, typically a loan that is more than 25 years, provide better returns for a longer period, making it more profitable for the trust company. The situation is different for short-term mortgages, which have a lifespan of less than five years. They offer a lower rate of return as compared to long-term mortgages, which makes them less profitable. Therefore, trust companies would always prefer to hold long-term mortgages during a period of expected interest rate declines.
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Identify the key provisions that a well drafted
arbitration agreement should contain
A well-drafted arbitration agreement should contain provisions for scope, selection of arbitrator, procedure, confidentiality, and enforceability.
A well-drafted arbitration agreement is essential to ensure that disputes between parties are resolved efficiently, effectively, and fairly. The agreement should contain several key provisions, including the scope of disputes that are subject to arbitration, the selection of the arbitrator, the procedures to be followed during the arbitration process, confidentiality, and enforceability. The scope provision should clearly define the types of disputes that are subject to arbitration. The selection of the arbitrator should be fair and impartial, and the procedures should be designed to ensure a fair and efficient process. Confidentiality provisions should be included to protect sensitive information, and enforceability provisions should ensure that the arbitration award is binding and enforceable.
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suppose the required reserve ratio is 0.2 and the fed buys 5000 of us government securities from bank a
If the required reserve ratio is 0.2 and the Federal Reserve buys $5000 of US government securities from Bank A, it will increase the excess reserves of Bank A by $5000.
The required reserve ratio is the percentage of deposits that banks are required to hold as reserves. In this case, the required reserve ratio is 0.2, which means that banks must hold 20% of their deposits as reserves. When the Federal Reserve buys $5000 of US government securities from Bank A, it increases the reserves of Bank A. Since the required reserve ratio is 0.2, Bank A is required to hold only 20% of the $5000 as reserves, which is $1000. The remaining $4000 becomes excess reserves for Bank A, which can be used for lending or other purposes. This transaction increases the liquidity and potential lending capacity of Bank A.
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You want to invest $50,000 in a portfolio with a beta of no more than 1.5 and an expected return of 14%. Bay Corp. has a beta of 0.9 and an expected return of 10.4%, and City Inc. has a beta of 1.9 and an expected return of 16.4%. The risk-free rate is 5%. Is it possible to create this portfolio investing in Bay Corp. and City Inc.? If so, how much will you invest ineach?
If you don't buy or sell any shares after the price change, what are your new portfolio weights?
It is possible to create the portfolio by investing ______ in Bay Corp. and ________ in City Inc
Risk-free rate = 5%, Maximum beta of the portfolio = 1.5, Expected return of the portfolio = 14%, Expected return of Bay Corp. = 10.4%, Expected return of City Inc. = 16.4%, Beta of Bay Corp. = 0.9, Beta of City Inc. = 1.9.
Now, we can use the following formula to calculate the required return ;Required return = Risk-free rate + Beta x (Expected return of the market - Risk-free rate)To calculate the expected return of the market, we can use the following formula; Expected return of the market = Risk-free rate + Market risk premium
Market risk premium = Expected return of the market - Risk-free rate. Therefore, Market risk premium = 14% - 5% = 9%Expected return of the market = 5% + 9% = 14%Let X be the amount of money invested in Bay Corp. and Y be the amount of money invested in City Inc. Since we need to invest $50,000 in total, we can write;
X + Y = $50,000 We also know that the beta of the portfolio must be no more than 1.5. Therefore, we can write;0.9X + 1.9Y / ($50,000) ≤ 1.5 Rearranging this equation gives;
0.9X + 1.9Y ≤ 1.5($50,000)0.9X + 1.9Y ≤ $75,000
Multiplying the second equation by 0.9,
we get;0.9X + 0.9Y = 0.9($50,000)0.9X + 0.9Y = $45,000
Subtracting this equation from the first equation, we get;
Y = $75,000 - $45,000Y = $30,000
Substituting Y into the equation
X + Y = $50,000 gives; X + $30,000 = $50,000X = $20,000
Therefore, we need to invest $20,000 in Bay Corp. and $30,000 in City Inc. to create the portfolio. If we don't buy or sell any shares after the price change, our new portfolio weights can be calculated using the following formula; New weight of Bay Corp. = Current weight of Bay Corp. / Total portfolio weight New weight of City Inc. = Current weight of City Inc. / Total portfolio weight We can calculate the current weight of each stock using the following formula; Current weight of Bay Corp. = Amount invested in Bay Corp. / Total portfolio value Current weight of City Inc. = Amount invested in City Inc. / Total portfolio value The total portfolio value is $50,000.
Therefore, Current weight of Bay Corp. = $20,000 / $50,000 = 0.4
Current weight of City Inc. = $30,000 / $50,000 = 0.6
If the prices of the stocks change and we don't buy or sell any shares, the new portfolio weights will be calculated using the current weights. Therefore; New weight of Bay Corp. = 0.4 New weight of City Inc. = 0.6 Therefore, if we don't buy or sell any shares after the price change, the new portfolio weights will be 0.4 for Bay Corp. and 0.6 for City Inc.
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What document should an assignor use to be released entirely from any obligations or secondary liability?
An assignor should use a document called an " Assignment and Release Agreement" to be released entirely from any obligations or secondary liability.
An Assignment and Release Agreement is a legal document that allows an assignor to transfer their rights and obligations to another party (assignee) while simultaneously being released from any further liabilities or responsibilities associated with the assigned rights. This document serves as a formal agreement between the assignor and the assignee, outlining the terms and conditions of the assignment as well as the release of the assignor from any future obligations. By signing this agreement, the assignor effectively transfers their rights and frees themselves from any potential secondary liability related to those rights. It provides a clear and legally binding mechanism for the assignor to be released entirely from any obligations or secondary liability while facilitating the smooth transfer of rights to the assignee.
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You just paid $905 for a security that claims it will pay you $1,925 in 6 years. What is your annual rate of return? 12.99% 14.08% 14.31% 13.21% 13.40%
Here, option C is the correct answer where the annual rate of return for a security that claims to pay you $1,925 in six years for a price of $905 is 14.31%.
The annual rate of return for a security that claims to pay you $1,925 in six years for a price of $905 is 14.31% Given: Price paid for the security = $905The amount promised to be paid after six years = $1,925We know that when we calculate the rate of return, we get an idea of how much we have earned on our investment. Annual rate of return is calculated by using the following formula:$$\text{Annual rate of return}= \sqrt[\large{n}]{\dfrac{\text{Future value}}{\text{Present value}}} - 1$$Here, n is the number of years. Let us substitute the given values in the above formula.$$\text{Annual rate of return}= \sqrt[\large{6}]{\dfrac{\text{1925}}{\text{905}}} - 1$$Therefore,$$\text{Annual rate of return}= 14.31\%$$. Thus, the annual rate of return for the security is 14.31%. Hence, option C is the correct answer.
A rate of return (RoR) can be applied to any investment vehicle, from real estate to bonds, stocks, and fine art. The RoR works with any asset provided the asset is purchased at one point in time and produces cash flow at some point in the future. Investments are assessed based, in part, on past rates of return, which can be compared against assets of the same type to determine which investments are the most attractive. Many investors like to pick a required rate of return before making an investment choice.
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You are planning to create a portfolio of two stocks: Amazon and Tesla. The Amazon beta is 1.16 and Tesla is 1.89. Using the US 10yr. treasury bond rate as a proxy of the risk free rate of return, we know that it is 1.70%. As a proxy for market average rate of return we use S&P 500 etf which is 15.40%. a) calculate the mean return of the portfolios consisting of: 50% of Amazon and 50% of Tesla. b) Calculate also the beta of the portfolio.
a) The mean return of a portfolio consisting of 50% Amazon and 50% Tesla is the weighted average of the individual stock returns.
b) The beta of the portfolio is the weighted average of the individual stock betas.
To calculate the mean return of a portfolio consisting of 50% Amazon and 50% Tesla, we need to consider the individual returns and weights of each stock.
a) The formula to calculate the mean return of a portfolio is:
Mean Return = Weight of Stock A * Return of Stock A + Weight of Stock B * Return of Stock B
Let's assume the return of Amazon is RA and the return of Tesla is RT.
The weights of Amazon and Tesla in the portfolio are 0.5 each.
Mean Return = 0.5 * RA + 0.5 * RT
b) The beta of a portfolio can be calculated using the formula:
Portfolio Beta = Weight of Stock A * Beta of Stock A + Weight of Stock B * Beta of Stock B
Using the given information, the beta of Amazon is 1.16, and the beta of Tesla is 1.89. The weights of Amazon and Tesla in the portfolio are 0.5 each.
Portfolio Beta = 0.5 * 1.16 + 0.5 * 1.89
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Q8. How is the Deadline determined in MS Project? Briefly
In Microsoft Project, the deadline for a project is the final date that it must be completed. It is a fixed date that should not be changed without valid reasons.
A project manager may choose to set a deadline as a goal for the project to be completed, however, this may not be sufficient enough to create the best plan for the project. Therefore, the software has a way to automatically determine the deadline for a project based on the tasks that are scheduled within the project.The following are the steps to determine the deadline in MS Project:First, assign the task in the project calendar. This would establish the working schedule of the project.
Ensure that the working time is up to date in the project calendar. This would reflect holidays and non-working days or hours of the project.Next, enter the estimated start date for each task and set the duration for each. When the duration for each task has been set, the software would calculate the deadline for each task. This deadline would be based on the working hours assigned to each task and would take into account the duration of the task.
MS Project calculates the deadline by counting the number of working days and hours between the estimated start date and the deadline date, taking into account the calendar assigned to the project. Thus, the deadline for a project in MS Project is determined by taking into account the calendar and duration of each task.
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Kaye's Kitchenware has a market/book ratio equal to 1. Its stock price is $14 per share and it has 4.6 million shares outstanding. The firm's total capital is $140 million and it finances with only debt and common equity. What is its debt-to-capital ratio? Round your answer to two decimal places. PLease answer in percent
The debt-to-capital ratio of Kaye's Kitchenware is 2.17.
Given data:
Market/book ratio = 1
Stock price = $14 per share
Total number of outstanding shares = 4.6 million
Total capital = $140 million
Debt-to-capital ratio = ?
To find out the debt-to-capital ratio, we need to first calculate the market value of the equity and total debt.
Let's start with the market value of equity
Market value of equity = Stock price × Total number of outstanding shares
Market value of equity = 14 × 4,600,000
Market value of equity = $64,400,000
Now, let's calculate the total debt. As the debt-to-capital ratio is the proportion of the total debt to the total capital, we will use the following formula to calculate the total debt
Debt-to-capital ratio = Total debt / Total capital
Rearranging the formula
Total debt = Debt-to-capital ratio × Total capital
To find the debt-to-capital ratio, we need to rearrange the given formula as follows:
Debt-to-capital ratio = Total debt / Total capital
Total debt = Debt-to-capital ratio × Total capital
Substitute the given values, we have
64,400,000 = 1 × Total capital
Total capital = $64,400,000
Now, substitute the given values in the above formula
Total debt = Debt-to-capital ratio × Total capital
140,000,000 = Debt-to-capital ratio × 64,400,000
Debt-to-capital ratio = 140,000,000 / 64,400,000
Debt-to-capital ratio = 2.17 (rounded off to two decimal places)
It means that 2.17% of the total capital is financed with debt.
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4. In an effort to further diversify, you are considering investing in shares of Astrazeneca, a company that has become quite well-known during the covid-19 pandemic. The company recently paid a dividend of $3.00, which is expected to increase annually by 5%. The share is currently selling for $35.00. Compute the required return of this share.
Given that your required return on common share investments is 9%, would you purchase this stock? 4 Marks
To compute the required return of the share of Astrazeneca, we can use the Gordon Growth Model. The formula for the Gordon Growth Model is: Required Return = (Dividend / Share Price) + Dividend Growth Rate
Given:
Dividend = $3.00
Dividend Growth Rate = 5%
Share Price = $35.00
Required Return = ($3.00 / $35.00) + 0.05
Required Return = 0.0857 + 0.05
Required Return = 0.1357 or 13.57%
The required return for the share of Astrazeneca is approximately 13.57%.
To determine whether to purchase the stock, we compare the required return (13.57%) with the investor's required return on common share investments (9%). Since the required return on the Astrazeneca share exceeds the investor's required return, it suggests that the stock is potentially attractive from a return perspective.
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What is the difference between Backward integration and Forward integration? Illustrate your answer by proving an example for each. 35%
Backward and forward integration are strategic business approaches. The former involves controlling the supply chain's earlier stages, while the latter pertains to controlling its later stages.
Backward integration is when a company seeks control over its suppliers to ensure a steady supply of resources, increase profit margins, or control quality. An example is Starbucks purchasing coffee farms to directly control the quality and cost of their primary raw material. Forward integration, on the other hand, involves controlling downstream processes, such as distribution or direct sales to consumers. An example is Apple, which sells its products through its Apple Stores, eliminating the need for third-party retailers and enabling greater control over customer experience.
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The Project X has just one outflow: —$1,000 at t=0, this means that it is not discounted and its PV = –$1,000. (Note: If the project has more than one outflow, you need to find the PV at t=0 for each one and sum them to arrive at the PV of total costs for use in the MIRR calculation.) • You need to find the future value of each inflow compounded at the WACC out to the terminal year, which is the year the last inflow is received. (Hint: Assume that cash flows are reinvested at the WACC.) • You have the cost at t = 0, —$1,000, and the FV. There is some discount rate that will cause the PV of the terminal value to equal the cost. That interest rate is defined as the MIRR. (Note: Using your financial calculator, enter N=4, PV=−1,000, PMT=0, and FV. Then when you press the I/YR key, you get the MIRR. Some calculators have a built-in MIRR function that streamlines the process. In Excel, you can use either the RATE function or MIRR function to calculate the MIRR.) Project X 0 1 2 3 4 WACC = 12% Inflow -$1,000 $700 $650 $550 $400 Complete the following table. NPV = FV = MIRR =
NPV: -$1,000
FV: $625 (Year 1), $518.02 (Year 2), $391.71 (Year 3), $254.48 (Year 4)
MIRR: 8.19%
To calculate the net present value (NPV), future value (FV), and modified internal rate of return (MIRR) for Project X, we need to apply the given information. Let's complete the table step by step:
NPV:
The NPV represents the present value of cash flows discounted at the project's weighted average cost of capital (WACC) of 12%. Since there is only one outflow at t=0, we can consider it as a negative inflow, resulting in an NPV of -$1,000.
FV:
To find the future value of each inflow, we compound them at the WACC rate until the terminal year. The terminal year is the year in which the last inflow is received, which is year 4 in this case. Let's calculate the FV for each year:
Year 1: FV = $700 / (1 + 0.12)^1 = $700 / 1.12 = $625
Year 2: FV = $650 / (1 + 0.12)^2 = $650 / 1.2544 = $518.02
Year 3: FV = $550 / (1 + 0.12)^3 = $550 / 1.4049 = $391.71
Year 4: FV = $400 / (1 + 0.12)^4 = $400 / 1.5735 = $254.48
The FV for each year is as follows:
Year 1: $625
Year 2: $518.02
Year 3: $391.71
Year 4: $254.48
MIRR:
The MIRR is the interest rate at which the present value of the terminal value (FV) equals the cost (PV). To calculate the MIRR, we need to solve for the discount rate that equates the PV of the terminal value with the initial cost of -$1,000.
Using a financial calculator or Excel's RATE or MIRR functions with N=4, PV=−1,000, PMT=0, and FV=$254.48, we can find the MIRR. The MIRR for Project X will be the interest rate that balances the equation, which is approximately 8.19%.
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What is a key compensate for the standard area family and community partnerships?
The main answer is: Effective communication is a key component for the standard area family and community partnerships.
Effective communication plays a crucial role in fostering successful family and community partnerships within the standard area. It allows for the exchange of information, ideas, and concerns between families, communities, and educational institutions. By maintaining open lines of communication, families can actively participate in their child's education and engage with the community to support their child's development. Effective communication ensures that all stakeholders are informed and involved in decision-making processes, promoting a collaborative and inclusive environment.
In more detail, effective communication enables families and communities to stay connected with the school or educational institution. It allows for the sharing of important information such as academic progress, upcoming events, and resources available to families. Through regular communication, families can gain a better understanding of their child's educational needs, strengths, and areas for improvement. This knowledge empowers families to provide targeted support and reinforce learning at home.
Furthermore, effective communication enhances the relationship between families, communities, and educational institutions. It fosters trust, respect, and understanding among all stakeholders. By actively listening to and valuing the perspectives and experiences of families and community members, educational institutions can create a welcoming and inclusive environment. When families and communities feel heard and respected, they are more likely to actively engage in partnerships and contribute to the educational success of students.
Overall, effective communication is a key factor in establishing and maintaining strong family and community partnerships within the standard area. It promotes collaboration, shared responsibility, and a sense of belonging, ultimately benefiting the educational outcomes and overall well-being of students.
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Answer the following:
Patents awarded to pharmaceutical firms serve as barriers to entry. Why would the government create a barrier to entry for these companies?
After the patent held for a name brand pharmaceutical expires, competitors can produce identical generic drugs. Even after generics are introduced, name brand pharmaceuticals often remain significantly cheaper. Explain how a firm can continue to charge more for a name brand drug.
The government creates a barrier to entry for pharmaceutical firms because the production of medications and drugs is vital for the well-being of people, and it is an industry that demands extensive research and development (R&D).
Therefore, the government rewards companies for their R&D efforts by granting patents, which gives them exclusive rights to produce the drug for a certain period. It is because of the exclusive rights to produce drugs that pharmaceutical firms can charge high prices for their drugs. Additionally, the production of drugs involves substantial costs such as R&D, marketing, clinical trials, and regulatory approvals that need to be factored in when pricing the drugs. Thus, firms continue to charge more for a name brand drug because they have invested significant amounts in R&D, clinical trials, and regulatory approvals. Moreover, once the patent expires, they can continue to charge a higher price by using other methods such as product differentiation, branding, and aggressive marketing.
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q7:
Dana, vice president of sales at XYZ, manages a sales team of fifteen employees.
Members of Dana's sales force vary in experience level. Six members of the sales team have worked at XYZ for less than one year. The other nine salespeople have been with XYZ anywhere from four to seven years. Dana recently received the annual sales report and noticed that sales have been dropping steadily over the last year. Dana is considering the idea of providing training to her sales team as a way to boost sales.
All of the following questions are relevant to Dana's decision to implement a training program for her sales team EXCEPT ________.
Select one:
a. What were the results of attitude surveys distributed to the sales team?
b. Does every salesperson understand what his or her performance standards are?
c. What methods are used for recruiting and interviewing individuals for sales positions?
d. What tools are available to sales team members to help them work efficiently?
Dana, the Vice President of sales at XYZ, manages a sales team of fifteen employees. Six members of the sales team have worked at XYZ for less than one year. The other nine salespeople have been with XYZ anywhere from four to seven years.
Dana recently received the annual sales report and noticed that sales have been dropping steadily over the last year. Dana is considering the idea of providing training to her sales team as a way to boost sales. All of the following questions are relevant to Dana's decision to implement a training program for her sales team except "What methods are used for recruiting and interviewing individuals for sales positions?" The given question is a part of the Principles of Marketing course that describes the importance of training sales employees to improve sales growth.
Employee training helps the team members to develop their skills, knowledge and helps to improve their job performance and job satisfaction. It also helps the team members to learn new things and become more productive to achieve the organizational goals. The answer to the given question is option c. "What methods are used for recruiting and interviewing individuals for sales positions?" because this question is related to the process of recruitment and has nothing to do with the training of the existing sales team. Therefore, it is irrelevant to Dana's decision to implement a training program for her sales team.
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Q.2 Two firms produce homogeneous products. The inverse demand function is: p(x 1
,x 2
)=a−x 1
− x 2
, where x 1
is the quantity chosen by firm 1,x 2
the quantity chosen by firm 2 , and a>0. The cost functions are C 1
(x 1
)=x 1
2
and C 2
(x 2
)=x 2
2
. Firm 1 is a Stackelberg leader and firm 2 a Stackelberg follower. Q.2.a Find the subgame-perfect quantities. Q.2.b Calculate each firm's equilibrium profit.
Previous question
Q.2.a) Find the subgame-perfect quantities: The inverse demand function is given byp(x1,x2)=a−x1−x2where x1 and x2 are the quantities produced by Firm 1 and Firm 2, respectively. Now, the cost functions are as follows:C1(x1)=x12andC2(x2)=x22It is given that Firm 1 is the Stackelberg leader and Firm 2 is the Stackelberg follower. Let q1 be the production quantity chosen by Firm 1 and q2 be the production quantity chosen by Firm 2.
Firm 2's Reaction Function: We start by finding Firm 2's reaction function for this game. Given that Firm 2 is a Stackelberg follower, it will produce the quantity that maximizes its profit, taking Firm 1's production quantity as given.
That is, it will solve the following optimization problem: Maximize π2(x2,q1)= p(x1,q2) * x2 - C2(x2)
Firm 2's profit is a function of the quantity it produces and Firm 1's production quantity. Using the inverse demand function, we can substitute for the price in terms of the quantities produced:x2(a - x1 - x2) - x22 Differentiating w.r.t. x2, and setting the derivative equal to zero, we get:∂π2(x2,q1) / ∂x2= a - 2x2 - x1 = 0 => x2 = (a - x1) / 2The above equation is Firm 2's reaction function.
Firm 1's Optimization Problem: Firm 1 knows that Firm 2 will produce the quantity given by the above reaction function. So it has to maximize its profit by choosing q1, taking q2 to be (a - q1) / 2. The profit function of Firm 1 is given by:π1(q1,q2)=(a - q1 - q2)q1 - q12 Differentiating w.r.t. q1 and setting the derivative equal to zero, we get:∂π1(q1,q2) / ∂q1= a - 2q1 - q2 = 0 => q1 = (a - q2) / 2The above equation is the optimal production quantity for Firm 1, given that it is the Stackelberg leader. Substituting this value of q1 in Firm 2's reaction function, we get: q2 = (a - (a - q2) / 2) / 2=> q2 = (a / 3)The subgame-perfect quantities are q1 = (a - q2) / 2 and q2 = (a / 3)
Q.2.b) Calculate each firm's equilibrium profit: Let's calculate each firm's equilibrium profit at the above subgame-perfect quantities. Firm 1's profit:π1(q1,q2)=(a - q1 - q2)q1 - q12=> π1(a/3, 2a/3) = (a/3) * (2a/3) - (a^2)/9= a2 / 27Firm 2's profit:π2(x2,q1)= p(x1,q2) * x2 - C2(x2)=> π2(a/3, a/3) = (a/3) * (a/3) - (a^2)/9= a2 / 27Hence, each firm's equilibrium profit is a2 / 27.
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The State of Georgia decided to fund a program for restoring and maintaining local museums. The first cost is $250,000 now, and an additional cost of $80,000 every 8 years forever. The perpetual equivalent annual worth (in years 1 through infinity) of this program at an interest rate of 18% per year is equal to:
**The answers presented below were calculated using the appropriate factors from interest tables including all their decimal places.**
Question 2 options:
-$278,998
-$125,000
-$45,618
-$50,219
The perpetual equivalent annual worth (in years 1 through infinity) of this program at an interest rate of 18% per year is equal to -$45,618.
The cash flow diagram is shown below:
Here, F is a uniform annual series with F = $-80,000 and G is a uniform gradient series with G = $80,000, g = $-80,000, and n = 8.
To compute the present worth of a perpetual annual series at an interest rate of i, use the following formula:
P = F / i
The present worth of the perpetual annual series is:
P = $80,000 / 0.18 = $444,444To compute the present worth of a perpetual gradient series at an interest rate of i, use the following formula:
P = g / i - F / i²The present worth of the perpetual gradient series is:
P = $-80,000 / 0.18 - $80,000 / 0.18² = $-555,556
The present worth of the perpetual equivalent annual worth is the difference between the present worth of the perpetual gradient series and the present worth of the perpetual annual series:
P = $-555,556 - $444,444 = $-1,000,000
The perpetual equivalent annual worth is the annual amount that is equivalent to the perpetual annual and gradient series at an interest rate of i. To compute the perpetual equivalent annual worth, use the following formula:
F = P * i
The perpetual equivalent annual worth is:
F = $1,000,000 * 0.18 = $-180,000
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