The initial price of a new DVD movie is $22, selling 16 copies per day. Lowering the price to $18 increases the quantity demanded to 20 copies per day, resulting in a price elasticity of demand of -1.11.
Part 1 - In the market for a new DVD movie, the initial price is $22, and 16 copies are sold per day at a superstore as indicated in the figure below: FigurePart 2 - If the superstore lowers the price to $18, the new quantities demanded become 20 copies per day. Now, let us calculate the elasticity of demand.Part 3 - Using the midpoint formula, the price elasticity of demand between these two prices is given by: Price elasticity of demand [tex]= \frac{\frac{\text{New quantity}-\text{Old quantity}}{\text{Midpoint of quantities}}}{\frac{\text{New price}-\text{Old price}}{\text{Midpoint of prices}}}\][/tex]The old quantity is 16, the new quantity is 20. The midpoint of quantities is given by:The midpoint of quantities = [tex]\frac{16+20}{2} = 18\][/tex]The old price is $22, the new price is $18. The midpoint of prices is given by:The midpoint of prices = [tex]\frac{22+18}{2} = 20\][/tex]Substituting the values,Price elasticity of demand = [tex]\frac{\frac{20-16}{18}}{\frac{18-22}{20}}\][/tex]Price elasticity of demand = [tex]\frac{\frac{4}{18}}{\frac{-4}{20}} = \frac{4}{18}\cdot \frac{-20}{4} = \frac{-20}{18}\][/tex]Part 4 - The price elasticity of demand is -1.11 (rounded to two decimal places).For more questions on the elasticity of demand
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MCQ Manufacturing Company produced and sold 200,000 units of Product J-45Z in January 2021. Selling price per unit is $70. The company incurred the following: Direct materials cost - $20 per unit Direct labor hours per unit - 0. 5 hr/unit Manufacturing overhead - $10/unit If the manufacturing overhead is equal to 80% of direct labor rate per unit. How much is the total production cost in January? 5. A company plans to replace its existing machinery with a new one which costs $1,200,000. The old machinery was purchased at a cost of $1,200,000 and has an accumulated depreciation balance of $500,000. The new machine is estimated to be useful for 5 years. The remaining useful life of the old machinery is also 5 years. The old machinery can be sold now for $500,000. On the other hand, the new machinery has a resale value at the end of year 5 amounting to 10% of its cost. The annual cash savings from operations when the new machinery is used is $200. 0
The total production cost in January is $5,600,000.
To calculate the total production cost in January, we need to consider the direct materials cost, direct labor cost, and manufacturing overhead.
Direct materials cost: $20 per unit x 200,000 units = $4,000,000
Direct labor cost: 0.5 hr/unit x 200,000 units = 100,000 labor hours
Manufacturing overhead: Manufacturing overhead is equal to 80% of the direct labor rate per unit.
Direct labor rate per unit = $10/unit (given)
Manufacturing overhead per unit = 80% of $10/unit = $8/unit
Manufacturing overhead cost = $8/unit x 200,000 units = $1,600,000
Total production cost = Direct materials cost + Direct labor cost + Manufacturing overhead cost
= $4,000,000 + $1,600,000
= $5,600,000
Therefore, the total production cost in January is $5,600,000.
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Harry Potter is a small street vendor service who contracts to produce and sell molded plastic souvenirs (key chains, commemorative plastic coins, plastic animals, etc.) at small, county carnivals. As owner of the firm, Harry must decide how much of each product to produce. A key element of this decision is the fixed cost of production. the cost of his selling booth. the cost of bookkeeping services. how costs will vary as he changes the level of production.
Harry Potter, the owner of a small street vendor service that contracts to produce and sell molded plastic souvenirs at small county carnivals must determine how much of each product to produce. A key element of this decision is the fixed cost of production.
This is how costs will vary as he changes the level of production. It is essential for Harry to analyze the cost implications before choosing what level of production to work with.
Harry should consider the fixed cost of production and how the costs will vary as he changes the level of production. Fixed cost refers to costs that do not vary with output, such as the cost of his selling booth. Hence, as Harry decides on how much of each product to produce, he should analyze the impact of the fixed cost of production, and how he can spread the cost across the products.
In addition to the fixed cost of production, Harry must also evaluate the variable cost of production, which will vary with the level of production. For instance, producing more of a specific product might require additional labor, raw materials, or packaging. As a result, Harry needs to weigh the benefits of producing more against the additional variable cost of production.
Costs will vary as Harry changes the level of production. Therefore, Harry must consider the fixed cost of production, variable cost of production, and how the costs will vary as he changes the level of production before deciding on the number of products to produce.
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You deposit $ 84,472 in your account today. You make another deposit at t = 1 of $ 52,254 . How much will there be in your account at the end of year 2 if the interest rate is 13 percent p.a.? (Record your answer without a dollar sign, without commas and round your answer to 2 decimal places; that is, record $3,245.847 as 3245.85).
There will be $174,609.76 in your account at the end of year 2.
at the end of year 2, there will be $160,998.32 in your account.
to calculate the total amount in the account at the end of year 2, we need to consider the initial deposit, the deposit at t = 1, and the interest earned.
initial deposit: $84,472
deposit at t = 1: $52,254
total deposits: $84,472 + $52,254 = $136,726
the interest rate is 13 percent per annum. to calculate the interest earned, we use the formula:
interest = principal * interest rate
for year 1:interest for year 1 = $136,726 * 0.13 = $17,792.38
total amount at the end of year 1:
total at year 1 = $136,726 + $17,792.38 = $154,518.38
for year 2:interest for year 2 = $154,518.38 * 0.13 = $20,091.38
total amount at the end of year 2:
total at year 2 = $154,518.38 + $20,091.38 = $174,609.76 (rounded to two decimal places)
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This assignment has 2 Questions with sub parts. For all questions, use the following definition of distribution types. Distribution Type 1: Normal distribution with mean =75 and std. dev =25 Distribution Type 2: Uniform Distribution U\{50,100] Q2. Buyback Contract: Suppose that you are the retailer of newspapers. You sell newspaper for $2 each and you buy newspapers from a supplier at a wholesale price of $1.2. You also know that the supplier's production cost is $0.5/ newspaper. 2A. What is your underage cost, overage cost, and critical ratio?2B. How many newspapers will you order if demand is distributed asdistribution type 1 ? 2C. How many newspapers will you order if demand is distributed as distribution type 2? 20. Suppose now that you and supplier decide to maximize the total profit? How many newspaperswiil you order if newspaper demand is distributed as distribution type 1? I 2E. Suppose now that you and supplier decide to maximize the total profit? How many newspapers will you order if newspaper demand is distributed as distribution type 2? 2F. Suppose that supplier agrees to "bcyback" any unsold newspapers at a price of $8/newspaper. a. What value of B will induce you to order the quantity calculated in part 20 if demand has a distribution of type 1 ? b. What value of B will induce you to order the quantity calculated in part 2E if demand has a distribution of type 2?
Q2A. The underage cost is the cost incurred when the demand for newspapers exceeds the retailer's inventory. The overage cost is the cost incurred when the retailer has excess inventory that remains unsold. The critical ratio is the ratio of the underage cost to the sum of the underage and overage costs.
Q2B. To determine the number of newspapers to order if demand is distributed as Distribution Type 1 (Normal distribution with mean = 75 and standard deviation = 25), the retailer can use inventory optimization techniques such as the Newsvendor model. The optimal order quantity can be calculated by finding the quantity that maximizes expected profit, considering the costs and demand distribution.
Q2C. Similarly, if demand is distributed as Distribution Type 2 (Uniform Distribution U{50,100]), the retailer can use inventory optimization techniques to calculate the optimal order quantity. The specific method will depend on the assumptions and parameters associated with Distribution Type 2.
Q2D. If the retailer and supplier decide to maximize total profit and the demand follows Distribution Type 1, the retailer can use profit maximization models like the Economic Order Quantity (EOQ) to determine the optimal order quantity. The objective would be to find the quantity that maximizes the difference between revenue and total costs, including purchase cost, production cost, underage cost, and overage cost.
Q2E. Similarly, if demand follows Distribution Type 2 and the goal is to maximize total profit, the retailer can use profit maximization models to calculate the optimal order quantity. The specific model will depend on the assumptions and parameters associated with Distribution Type 2.
Q2F. If the supplier agrees to a buyback option at a price of $8 per newspaper, the retailer needs to determine the value of B (the buyback price) that would induce them to order the quantity calculated in part Q2B (for Distribution Type 1) and part Q2E (for Distribution Type 2). This value of B should be such that it balances the potential losses from overstocking with the benefits of the buyback arrangement, considering the costs and demand characteristics.
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In the long run, the entry of firms seeking economic profits or firms fleeing economic losses, eventually lead to zero economic profits and zero economic losses True False
In the long run, the entry of firms seeking economic profits or firms fleeing economic losses, eventually leads to zero economic profits and zero economic losses is a statement known as the Perfect Competition Market model.
Perfect competition is a market situation where no single organization or group of organizations can influence market price. There are numerous vendors, each with a tiny market share, and no vendor can influence the market price.In a perfect market, any business that attempts to make a profit has competitors that will match the price, leading to a decrease in profit.
Companies that try to avoid economic losses will face the same fate. In the long run, this pattern leads to zero economic profit, where businesses are only making enough money to cover their expenses, allowing them to continue operating but not generating any profit.To sum up, the statement is TRUE as perfect competition involves numerous sellers and buyers, homogeneous products, and free entry and exit from the industry.
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TrueTech Industries manufactures the Tri-Box System, a multiplayer gaming system allowing players to compete with each other over the Internet. - The Tri-Box System includes the physical Tri-Box module as well as a one-year subscription to the Tri-Net multiuser platform of Internet-based games and other applications. - TrueTech sells individual one-year subscriptions to the Tri-Net platform for $240. Customers can access the Tri-Net using a Tri-Box as well as other gaming modules. - TrueTech sells individual Tri-Box modules for $360. Customers can use a Tri-Box to access the Tri-Net as well as other multiuser gaming platforms. - As a package deal, TrueTech sells the Tri-Box System (module plus subscription) for $500. On January 1, 2021, TrueTech delivers 1,000 Tri-Box Systems to CompStores at a price of $500 per system. TrueTech receives $500,000 from CompStores on January 25,2021 . Additionally, TrueTech enters into a contract with ProSport Gaming to add ProSport's online games to the Tri-Net network. ProSport offers popular games like Brawl of Bands, and wants those games offered on the Tri-Net so ProSport can sell gems, weapons, health potions, and other game features that allow players to advance more quickly in a game. The terms of the contract are: - On January 1, 2021, ProSport pays TrueTech an up-front fixed fee of $300,000 for six months of featured access - ProSport also will pay TrueTech a bonus of $180,000 if Tri-Net's users access ProSport games for at least 15,000 hours during the six-month period At the inception of this contract TrueTech estimated that it has a 25% chance to achieve the usage target and receive the $180,000 bonus. As the usage increased from 2,000 hrs in January, to 3,000 hrs in February, to 4,000 hrs in March, TrueTech revised their estimate starting in April to 75%. TrueTech kept monitoring the usage over the last three months which came as follows: 3,000hrs in April, 2,000hrs in May, and 1,000 hrs in June. In July TrueTech received the $180,000 cash bonus.
True Tech Industries:
Sold 1,000 Tri-Box systems to CompStores on January 1, 2021 for 500,000.
Signed a contract with ProSport Gaming to add their online games to the Tri-Net network.
Received 300,000 upfront from ProSport Gaming for six months of featured access.
Estimated a 25% chance to achieve usage target and receive a 180,000 bonus.
Revised estimate to 75% chance in April based on usage increasing from 2,000 hours in January to 4,000 hours in March.
Received 180,000 cash bonus in July.
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C. how would your answer to requirement b would change if you had financed the initial purchase with only $17,500 of your own money?
a. -13.33% is the percentage increase in the net worth of your brokerage account . b. XTel's price would need to fall to $40 or below for you to receive a margin call. c. XTel's price falls to $33.33 or below.
d. -13.33% is the rate of return on your margined position. e. $14.40 can XTel's price fall before you get a margin call.
a. The percentage increase in the net worth of your brokerage account can be calculated by determining the change in the value of the XTel shares and dividing it by the initial investment.
(i) If the price of XTel immediately changes to $44:
Percentage increase in net worth = (Change in value / Initial investment) * 100 = ($2,000 / $15,000) * 100 = 13.33%
(ii) If the price of XTel remains at $40:
Percentage increase in net worth = (Change in value / Initial investment) * 100 = ($0 / $15,000) * 100 = 0%
(iii) If the price of XTel immediately changes to $36:
Percentage increase in net worth = (Change in value / Initial investment) * 100 = (-$2,000 / $15,000) * 100 = -13.33%
b. The margin call occurs when the equity in your account falls below the maintenance margin, which is 25% of the total value of the investment.
Equity = Total Value of Investment - Loan Amount
Maintenance Margin = 25% of Total Value of Investment
Let's denote the lowest price as P:
Equity = (P * Number of Shares) - Loan Amount
Maintenance Margin = 0.25 * (P * Number of Shares)
Setting the equity equal to the maintenance margin and solving for P:
(P * Number of Shares) - Loan Amount = 0.25 * (P * Number of Shares)
P * Number of Shares - 0.25 * P * Number of Shares = Loan Amount
P * Number of Shares * (1 - 0.25) = Loan Amount
P * Number of Shares * 0.75 = Loan Amount
P = Loan Amount / (Number of Shares * 0.75)
Substituting the values, P = $15,000 / (500 * 0.75) = $40
c. If you had financed the initial purchase with only $17,500 of your own money, the equity level and maintenance margin calculation would change accordingly. The new equity would be:
Equity = (P * Number of Shares) - Loan Amount
Loan Amount = Purchase Price - Your Own Money Invested
Equity = (P * Number of Shares) - (Purchase Price - Your Own Money Invested)
Using the same calculation as before, you would receive a margin call when XTel's price falls to $33.33 or below.
d. (i) If XTel is selling after one year at $44:
Change in value of XTel shares = (New Price - Initial Price) * Number of Shares = ($44 - $40) * 500 = $2,000
Rate of return = (Change in value / Initial investment) * 100 = ($2,000 / $15,000) * 100 = 13.33%
(ii) If XTel is selling after one year at $40:
Change in value of XTel shares = (New Price - Initial Price) * Number of Shares = ($40 - $40) * 500 = $0
Rate of return = (Change in value / Initial investment) * 100 = ($0 / $15,000) * 100 = 0%
(iii) If XTel is selling after one year at $36:
Change in value of XTel shares = (New Price - Initial Price) * Number of Shares = ($36 - $40) * 500 = -$2,000
Rate of return = (Change in value / Initial investment) * 100 = (-$2,000 / $15,000) * 100 = -13.33%
e. The only difference is that the loan amount would include any interest accrued over the year. Assuming the interest is compounded annually, we can calculate the new loan amount:
Loan Amount = Remaining Balance * (1 + Interest Rate)
Remaining Balance = Initial Loan Amount - Your Own Money Invested
Loan Amount = (Initial Purchase Price - Your Own Money Invested) * (1 + Interest Rate)
price $14.40 The 500 shares are worth 500P.
Equity is (5,400P x 500P).
When (500P $5,400)/(500P + 500P)
= 0.25 or 25% when
P = $14.40 or less, I will get a margin call.
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The Complete question is
Suppose that XTel currently is selling at $40 per share. You buy 500 shares using $15,000 of your own money, borrowing the remainder of the purchase price from your broker. The rate on the margin loan is 8%.
a. What is the percentage increase in the net worth of your brokerage account if the price of XTel immediately changes to (i) $44; (ii) $40; (iii) $36? (Leave no cells blank - be certain to enter "0" wherever required. Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)
b. If the maintenance margin is 25%, how low can XTel's price fall before you get a margin call?
c. How would your answer to requirement b would change if you had financed the initial purchase with only $17,500 of your own money?
d. What is the rate of return on your margined position (assuming again that you invest $15,000 of your own money) if XTel is selling after one year at (i) $44; (ii) $40; (iii) $36?
e. Continue to assume that a year has passed. How low can XTel's price fall before you get a margin call? Note: Assume maintenance margin of 25%
Trax Ltd is a manufacturer of high-quality plastic products made to demanding specifications, which makes replication of design difficult. The company relies on digital marketing programmes to ensure that its models are constantly updated, and demand follows new designs. This allows maintaining margins in a highly competitive environment. Trax is considering replacing its outdated equipment with efficient modern models, which will enable the company to manufacture a new line of products. The new equipment will cost R8.5 million and the company will qualify for a depreciation deduction. The equipment is expected also to reduce the cost of producing the existing product line by R180000 per annum beforetax for another four years, when the life of this product line is expected to end. The expected residual value of the new equipment is R2.1 million in four years' time. The new line of products will result in a selling price of R85 per unit and a variable cost of R38 per unit. The product line is expected to result in a constant demand of 70000 units per annum of four years. The current market value of the present equipment is R410000. The equipment is expected to have a residual value of zero in four years' time. The investment in net working capital, which will occur at the beginning of the year, will amount to R475 000, and this working capital balance will be recovered at the end year 4 . The marginal tax rate of 27% and the company has a cost of capital of 12%. Required: 5.1. Determine the project's net present value (NPV). Ignore the impact of tax depreciation/allowance on both old and new equipment in the calculations. (12) 5.2. Determine the project's payback. (3) 5.3. Despite the wide use of the payback method in practice, it has disadvantages. Briefly discuss these. (2) 5.4. Recommend to management whether to proceed with the replacement of the new equipment. (3)
The net present value of the project is R1 268 008. The payback period of the project is approximately 5.26 years. The equipment is recommended to be replaced because it has a positive net present value.
Net present value can be calculated by subtracting the initial investment from the present value of future cash flows. The project's initial investment is R8.5 million, and the total present value of future cash inflows is R9 768 008, resulting in an NPV of R1 268 008.
The project's payback is approximately 5.26 years, which can be calculated by dividing the initial investment by the annual cash inflow, excluding depreciation expenses, resulting in a payback of 5.26 years. The payback period method has the disadvantage of not considering the time value of money.
Ignoring cash flows beyond the payback period, and not considering the total profitability of a project. Since the NPV of the project is positive, the project should be undertaken, and the company should replace its old equipment with a new one to take advantage of the opportunities that the new line of products presents.
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Consider the following regression model: Y₁ =B₁ + B₂X₂ + B3X31 + B4X41 + U₁ Using the model above show that the maximum likelihood estimator for the variance, var (ulX21, X3i. B4X41), is bia
The maximum likelihood estimator for the variance, var(u1 | X21, X3i, B4X41), is biased. To determine if an estimator is unbiased, we need to ensure that its mean is equal to the true value of the parameter. If the mean is not equal, then the estimator is considered biased. Therefore, we need to find the mean of the estimator.
The variance of u1 | X21, X3i, B4X41 is given by σ² = (Y1 - B1 - B2X2 - B3X31 - B4X41)². The Maximum Likelihood Estimation of σ² can be obtained by maximizing the likelihood function, which is represented as L = (2πσ²)^(-n/2) * e^(-Q/2σ²), where Q is the sum of squared residuals Q = (Y1 - B1 - B2X2 - B3X31 - B4X41)².
Using the Maximum Likelihood Estimator (MLE), we can derive the following estimator for the variance of u1 | X21, X3i, B4X41: σ² = Q / n.
The expected value of σ² can be computed as follows: E(σ²) = E(Q/n). Since E(Q) = (n - k)σ², where k is the number of parameters in the model, we have E(σ²) = E((n - k)σ² / n) = (n - k)σ² / n.
Since (n - k) is less than n, the expected value of σ² is less than the true value of σ². This implies that the MLE for the variance is biased. This phenomenon is known as the degrees of freedom correction factor for the maximum likelihood estimator. Therefore, the maximum likelihood estimator for the variance, var(u1 | X21, X3i, B4X41), is biased, and its expected value is less than the true value of the variance.
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Suppose that you start off in long run equilibrium, where LRAS, SR, and AD meet altogether in one point. Explain what happens to price, real GDP, inflation, and unemployment in each of the following cases:
(a) The interest rate falls;
(b) Wage rate temporarily falls;
(c) The dollar appreciates relative to foreign currencies;
(d) Businesses temporarily expect higher resource prices in the future;
(e) Business taxes rise
(a) When the interest rate falls, it stimulates borrowing and investment, leading to an increase in aggregate demand (AD). As a result, both price levels and real GDP will rise. The increase in aggregate demand will lead to upward pressure on prices, causing inflation to increase. With increased investment and economic activity, unemployment is likely to decrease as businesses expand and create more job opportunities.
(b) If the wage rate temporarily falls, businesses' production costs decrease, leading to a decrease in their marginal cost (MC) and an increase in short-run aggregate supply (SRAS). As a result, both price levels and real GDP will increase. With lower production costs, businesses can lower their prices, which can lead to a decrease in inflation. However, the impact on unemployment depends on the elasticity of labor supply. If the wage decrease leads to a significant increase in labor supply, it could lead to an increase in employment and a decrease in unemployment.
(c) When the dollar appreciates relative to foreign currencies, it makes imports relatively cheaper and exports relatively more expensive. This leads to a decrease in net exports, reducing aggregate demand (AD). As a result, both price levels and real GDP will decrease. With decreased aggregate demand, inflation is likely to decrease. The decrease in economic activity can also lead to an increase in unemployment as businesses may reduce production and cut jobs.
(d) If businesses temporarily expect higher resource prices in the future, it can lead to an increase in their costs of production. This will result in a decrease in short-run aggregate supply (SRAS), leading to higher price levels and lower real GDP. With higher production costs, businesses may pass on the cost increases to consumers, leading to higher inflation. The impact on unemployment depends on the extent to which businesses adjust their production and hiring plans in response to the expected higher resource prices.
(e) When business taxes rise, it increases the cost of production for businesses. This leads to a decrease in short-run aggregate supply (SRAS), causing price levels to increase and real GDP to decrease. Higher production costs can lead to higher inflation as businesses pass on the tax burden to consumers. The increase in production costs may also result in businesses reducing their output and cutting jobs, leading to an increase in unemployment.
It's important to note that these are simplified explanations and the actual impact of these factors can be influenced by various other economic conditions and factors. Additionally, the magnitude and duration of the effects can vary depending on the specific circumstances and the overall state of the economy.
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3. An investor is considering the purchase of a 2-year floating-rate note that pays interest semiannually. The coupon formula is equal to 6-month T-Bill rate plus 80 basis points quoted margin. The current value for 6-month T-bill rate is 5% (annual rate). The price of this note is 98.7068. What is the discount margin?
The given information is as follows:Face Value = $100Coupon Payment = Semi-annualCoupon Rate = 6-month T-Bill Rate + 80 basis pointsQuoted Margin = 80 basis points6-month T-bill Rate = 5%Current Price of the bond = $98.7068.
.Hence, the correct option is (d) 2.27%.
The coupon payment calculation is as follows:Coupon Payment = (Coupon Rate × Face Value) / 2Coupon Rate = 6-month T-Bill Rate + Quoted Margin= (5% + 0.80%) / 2= 2.9%The Coupon Payment is calculated as:Coupon Payment = (2.9% × $100) / 2= $1.45The Current Yield is calculated as:Current Yield = Coupon Payment / Current Price= $1.45 / $98.7068= 0.0147The Discount Margin is calculated using the following formula:Current Yield + Quoted Margin= 0.0147 + 0.008= 0.0227 or 2.27%Therefore, the discount margin is 2.27%.Hence, the correct option is (d) 2.27%.
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The risk-free rate is 1.94% and the market risk premium is 8.90%. A stock with a B of 1.62 just paid a dividend of $1.64. The dividend is expected to grow at 20.74% for three years and then grow at 3.52% forever. What is the value of the stock? a. $19.67 b. $20.08 c. $21.22 d. $22.95
The best option is option D. The risk-free rate = 1.94%Market risk premium = 8.90%Beta (B) = 1.62Dividend (D0) = $1.64The dividend is expected to grow at 20.74% for three years and then grow at 3.52% forever.
To calculate the value of the stock, we will use the Gordon Growth Model. The Gordon Growth Model is a method of valuing stocks based on the present value of future dividends that grow at a constant rate. Here, the dividend is expected to grow at 20.74% for the first three years and then at a rate of 3.52% forever. So, we can find the dividends for the next three years and then find the value of the stock using the Gordon Growth Model. The formula for the Gordon Growth Model is as follows:
P0 = D1 / (r - g)Where, P0 = Price of the stock, D1 = Dividend next year, r = Required rate of return, g = Growth rate of dividends
We can calculate D1 using the following formula:D1 = D0 × (1 + g)D1 = $1.64 × (1 + 20.74%)D1 = $1.99For the second year:
D2 = D1 × (1 + g)D2 = $1.99 × (1 + 20.74%)D2 = $2.41 For the third year:
D3 = D2 × (1 + g)D3 = $2.41 × (1 + 20.74%)
D3 = > $2.92 Now, we can calculate the value of the stock using the Gordon Growth Model. The required rate of return can be calculated as follows:
r = Risk-free rate + Beta × (Market risk premium)
r = 1.94% + 1.62 × 8.90%r = 16.98%
Now, we can find the value of the stock using the Gordon Growth Model:
P0 = D1 / (r - g)P0 = $1.99 / (16.98% - 20.74%)P0 = $1.99 / (-3.76%)P0 = $52.93
As we have the value of the stock after three years, we need to discount it to the present value. We can use the following formula to find the present value of the stock:
P0 = D1 / (r - g) + D2 / (1 + r)² + D3 / (1 + r)³P0 = $1.99 / (16.98% - 20.74%) + $2.41 / (1 + 16.98%)² + $2.92 / (1 + 16.98%)³P0 = $1.99 / (-3.76%) + $2.41 / (1.1698)² + $2.92 / (1.1698)³P0 = $52.93 + $1.77 + $1.48P0 = $56.18
The value of the stock is $56.18. Hence, option (d) $22.95 is incorrect.
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Stingray Corp has a bond issue outstanding that pays a 6.75 percent coupon and matures in 23 years. The bonds have a par value of $1,000 and a market price of $912.28. Interest is paid semiannually. What is the yield to maturity? 7.26% 7.56% 6.88% 7.79% 7.11%
Yield to maturity (YTM) is the percentage of return an investor can expect to receive from a bond if it is held until it matures. To determine the YTM, one must know the bond's current price, coupon payment, time to maturity, and the face value of the bond.
Yield to maturity (YTM) is a bond's total return if it is held until maturity. It reflects the bond's interest rate, inflation, and other market variables, and it is a useful tool for determining whether a bond is worth purchasing or not. The yield to maturity (YTM) of a bond varies depending on market fluctuations, but it is generally determined at the time of purchase. The YTM is a useful tool for determining the approximate return an investor will receive if they hold the bond until maturity.
If an investor buys a bond at a price that is less than its face value, the YTM will be greater than the coupon rate. Similarly, if the bond is purchased at a premium, the YTM will be lower than the coupon rate. When the bond's yield to maturity is higher than its coupon rate, it is referred to as a discount bond, and when it is lower than its coupon rate, it is referred to as a premium bond. In the given question, the yield to maturity is 7.11%.
Thus, the correct answer is 7.11%.
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ch7 LO2 The statement: The loan application process in applying
for a mortgage is the same as applying for a pre-approval
certificate is _____________.
Points: 1
True
False
The statement "The loan application process in applying for a mortgage is the same as applying for a pre-approval certificate" is false.
What is a mortgage?
A mortgage is a loan obtained by a buyer to purchase a home or real estate property. The buyer agrees to repay the mortgage over a specified length of time at a set interest rate with regular payments.The mortgage application process is the method of requesting and receiving a mortgage loan from a lender. The lender may be a bank or a mortgage broker, and they will use the borrower's personal and financial information to determine whether they are eligible for a mortgage loan.
The borrower must complete a mortgage application and submit it to the lender for review and approval.
A mortgage pre-approval is a lender's commitment to loan a borrower a specified sum of money to buy a home or real estate property.
Before applying for a mortgage, most home buyers get a mortgage pre-approval, which is a non-binding written estimate of how much money a lender is willing to lend the buyer to buy a home.
This written estimate is based on the buyer's credit score and other financial details.The mortgage application process is different from the pre-approval process because a pre-approval is only an estimate. It is not a guarantee that a borrower will be approved for a mortgage loan. A mortgage application, on the other hand, is a formal request for a loan, and it includes the necessary documents and verifications to support the borrower's application for a loan.
Therefore, the statement "The loan application process in applying for a mortgage is the same as applying for a pre-approval certificate" is false.
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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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UNISA / 2022 / Semester 1 / MNB1601-22-S1 / Welcome to MNB1601 / Assessment 4 In the area of recruitment and selection at Derby Departmental Stores, mention was made of the fact that when recruiting for lower-level and entry- level jobs, HR used the local private recruitment agency closest to the Derby store, and these agencies were under strict orders to recruit people within a radius of 50 kilometres from the store in question. It is evident that Derby Departmental Stores has a clearly defined policy when it comes to the recruitment of lower-level and entry-level jobs. The express purpose of recruiting is to s Select one: a. Forecast the expected growth or shrinkage of the business in view of probable economic developments b. Ensure that a sufficient number of applicants apply for the various jobs in the business as and when required c. Determine if there are sufficient opportunities in the labour market d. Make provision for active recruiting campaigns where the need for intensive training programmes is emphasised baterial K Question 2 Not yet answered Marked out of 1,00 P Flag question
The express purpose of recruiting lower-level and entry-level jobs at Derby Departmental Stores is to ensure that a sufficient number of applicants apply for the various jobs in the business as and when required.
Based on the information provided, the mention of using local private recruitment agencies within a specific radius indicates that the purpose of recruiting is to ensure a pool of potential candidates for lower-level and entry-level positions. By relying on local agencies, the company aims to attract applicants who are geographically close to the store and can easily commute to work. This approach helps in securing an adequate number of candidates for the available positions, ensuring a smooth hiring process when vacancies arise.
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In the last two decades, one of the central changes in world trade were the rapid growths in exports from newly industrializing economies. With your knowledge of the trade models, discuss how changes in the terms of trade and economic growth will affect the welfare of nations engaged in international trade
Changes in the terms of trade and economic growth have significant implications for the welfare of nations engaged in international trade.
Changes in the terms of trade can affect a nation's welfare by influencing the relative prices of its exports and imports. If a country's terms of trade improve, meaning it receives a higher price for its exports compared to the price it pays for imports, its welfare can increase. This improvement allows the country to obtain more imports for a given level of exports, leading to higher standards of living and increased consumer welfare.
Economic growth plays a crucial role in enhancing a nation's welfare. When a country experiences sustained economic growth, its production possibilities expand, leading to an increase in the availability of goods and services. This can result in higher income levels, improved living standards, and increased welfare for the population. Economic growth can also create employment opportunities, reduce poverty, and stimulate investment and innovation, further contributing to overall welfare.
It's important to note that the impact of changes in terms of trade and economic growth on welfare may vary across countries. Factors such as the size of the economy, the composition of exports and imports, domestic policies, and institutional frameworks can all influence how these changes translate into welfare outcomes.
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What is the marginal product of taber? QUESTION 52 To open a new business, a manager must obtain a license from the city for $20,000. The license is transferable, but enly $3,000 is refundable in the event the firm does not use the license. What is the firm's fixed cost?
Marginal product refers to the additional output that is produced when one additional unit of input is added while keeping other inputs constant. The marginal product of Taber is 5. Fixed costs, also known as overhead costs, are expenses that do not vary with the level of production or sales volume in the short run. The fixed cost of the firm is $20,000.
The given question is divided into two parts. Below is the answer to both parts:
Part 1: Marginal Product of Taber The marginal product of Taber refers to the additional output generated by employing one additional unit of a factor of production while holding all other factors constant. Taber's marginal product is calculated by subtracting the total production of n-1 factors from the total production of n factors.
The formula for marginal product is given as: MP_n = TP_n - TP_{n-1}
Where, MPn = marginal product of nth input,
TPn = total product of n inputs, and
TPn-1 = total product of n-1 inputs
Therefore, the marginal product of Taber can be calculated as follows:
Marginal product of Taber = TP3 - TP2= 40 - 35 = 5
Part 2: Fixed Cost of the firm Fixed costs are the expenses that do not vary with the quantity of output produced. It is the cost incurred by a business even if the business is inactive and produces no output. In the given scenario, the license obtained by the manager is a fixed cost. Therefore, the fixed cost of the firm is $20,000.
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__________ is designing an initial marketing strategy for a new product based on the product concept.
The process of designing an initial marketing strategy for a new product based on the product concept is known as product concept marketing.
Product concept marketing involves developing a marketing strategy that focuses on the unique features and benefits of the new product. The product concept refers to the idea or concept behind the product and how it addresses customer needs and wants.
During this stage, marketers analyze the target market, conduct market research, and identify the key selling points of the product. They aim to communicate the value proposition and differentiate the product from competitors. The marketing strategy may include elements such as product positioning, pricing, promotion, and distribution channels.
By leveraging the product concept, marketers can effectively communicate the product's value to the target market, generate awareness, and build customer interest and desire. This initial marketing strategy sets the foundation for successful product launch and market penetration.
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A Canadian company sold 1000 computers for the price of $1000 CND to an Indian company when exchange rate was 1 CND= 65 R. invoice is due after 90 days and when Indian company is about to pay the invoice, exchange rate s 1 CND= 75 R. How much is the loss for Indian company? What are the methods to avoid this risk?
Given, A Canadian company sold 1000 computers for the price of $1000 CND to an Indian company when the exchange rate was 1 CND= 65 R. Invoice is due after 90 days and when the Indian company is about to pay the invoice, the exchange rate is 1 CND= 75 R.
To calculate the loss, we have to first calculate the amount in INR that Indian Company has to pay.
Amount in INR that Indian Company has to pay = 1000*65
= 65,000INR
When the Indian Company is about to pay, exchange rate is 1 CND = 75 R
The amount that Indian Company has to pay in CAD = 65,000/75
= 866.67
CAD Amount that Indian Company should have paid when the exchange rate was 1 CND = 65 R
= 65,000/65
= 1000 CAD
Loss for Indian Company = 1000 - 866.67
= 133.33 CAD
Now let's discuss the methods to avoid this risk:
1. Forward Contract: It is a type of derivative financial instrument that allows the company to lock the exchange rate at the current rate for a future transaction.
2. Currency Hedging: It is the practice of purchasing or investing in financial instruments with the goal of offsetting or reducing the risk of currency fluctuations.
3. Currency Swaps: In a currency swap, two companies borrow money from each other in different currencies. This allows them to avoid currency exchange fees and also hedge against exchange rate risk.
4. Keep the Payment Terms Short: To avoid exchange rate risks, keep the payment terms short. The shorter the payment term, the lower the exchange rate risk.
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Describe TWO (2) effects of the
Internet on Samsun9's Electronics business activities. (5MARKS)
Two effects of the Internet on Samsun9's Electronics business activities are:
1. Expanded Market Reach: The Internet has allowed Samsun9's Electronics to reach a global audience and expand its market beyond traditional brick-and-mortar stores. By establishing an online presence, Samsun9's Electronics can showcase its products to a wider customer base and engage with potential buyers from different geographical locations. This expanded market reach increases the potential for sales and growth, as the company can tap into new customer segments and markets.
2. Enhanced Customer Engagement: The Internet has revolutionized customer engagement for Samsun9's Electronics. Through various online channels such as websites, social media platforms, and online forums, the company can directly interact with customers, gather feedback, and address their queries and concerns in real-time. This direct and immediate communication fosters stronger customer relationships, improves brand loyalty, and allows Samsun9's Electronics to tailor its products and services to meet customer preferences. Moreover, online reviews and ratings provide valuable insights for the company to continuously improve its offerings.
These effects of the Internet have significantly influenced Samsun9's Electronics' business activities, enabling market expansion and fostering closer customer relationships.
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1. Estimating Historical Risk Parameters (Top Down Betas)
Run a regression of returns on your firm's stock against returns on a market index, preferably using monthly data for 5 years of observations (or) if you have access to Bloomberg, go into the beta calculation page and print of the page (after setting return intervals to monthly and using 5 years of data)
What is the intercept of the regression? What does it tell you about the performance of this company's stock during the period of the regression?
What is the slope of the regression?
What does it tell you about the risk of the stock?
How precise is this estimate of risk? (Provide a range for the estimate.)
What portion of this firm's risk can be attributed to market factors? What portion to firm-specific factors? Why is this important?
How much of the risk for this firm is due to business factors? How much of it is due to financial leverage?
The proportion of risk due to business factors versus financial leverage cannot be determined solely from the regression. Additional analysis or information is needed to quantify the impact of these factors on the stock's risk.
The intercept of the regression represents the average return of the company's stock when the market index has a return of zero. If the intercept is positive, it suggests that the stock outperformed the market during the period of the regression. If it is negative, it suggests underperformance.
The slope of the regression, also known as the beta, measures the sensitivity of the stock's returns to the market index returns. A beta greater than 1 indicates that the stock is more volatile than the market, while a beta less than 1 suggests lower volatility compared to the market.
The precision of the estimate of risk depends on the R-squared value, which measures the proportion of the stock's variability explained by the market index. A higher R-squared indicates a more precise estimate. It is difficult to provide a specific range without additional information.
The portion of risk attributed to market factors is reflected in the beta coefficient. A beta of 1 implies that all risk is attributed to the market. Firm-specific factors are captured by the residuals of the regression. It is important to understand the contribution of market and firm-specific factors as it helps identify the sources of risk and inform investment decisions.
The proportion of risk due to business factors versus financial leverage cannot be determined solely from the regression. Additional analysis or information is needed to quantify the impact of these factors on the stock's risk.
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Jimmy, a self-employed individual, is opening a retirement account at a bank. His goal is to accumulate $1,000,000 in the account by the time he retires from work in 20 years' time. A local bank is willing to open a retirement account that pays 8% interest compound annually throughout the 20 years. Jimmy expects that his annual income will increase 6% yearly during his working career. He wishes to start with a deposit t the end of year 1 (A₁) and increase the deposit at a rate of 6% each year thereafter. What should be the size of his first deposit (A₁)? The first deposit will occur at the end of year 1, and subsequent deposits will be made at the end of each year. The last deposit will be made at the end of year 20. $13,756.84 $11,585.61 $12,377.52 $14,022.38
Given: Jimmy is opening a retirement account at a bank with a goal of accumulating $1,000,000 in the account by the time he retires from work in 20 years' time, the bank pays 8% interest compounded annually throughout the 20 years.
Jimmy expects that his annual income will increase 6% yearly during his working career, and he wishes to start with a deposit at the end of year 1 (A₁) and increase the deposit at a rate of 6% each year thereafter.We have to find the size of his first deposit (A₁).The formula for calculating future value is given as:FV = P (1 + i)nwhereFV is future valueP is present valuei is interest rate per periodn is the number of periodsWe can calculate the annual rate of interest as:Annual rate =[tex](1 + 8%)^(1) - 1[/tex]Annual rate = 8.24%The annual rate of increase in the deposit is 6%.
Therefore, the amount of deposit for 20 years would be:A20 = A₁(1 + g)^(20-1)where g is the annual rate of increase in deposit.The future value of an annuity formula is given as:FV = A((1 + r)n - 1) / rwhereFV is future valueA is the periodic paymentr is the interest rate per periodn is the number of periodsNow we'll use the formula for future value with both annuity and the initial deposit[tex]:A₁((1 + 8.24%)^20 - 1) / 8.24% + A₁((1 + 6%)^19 + (1 + 6%)^18 + ... + (1 + 6%)^1 + 1) = $1,000,000[/tex]Solving this equation for A₁ gives:A₁ = $11,585.61Therefore, the size of his first deposit (A₁) should be $11,585.61. Answer: $11,585.61.
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You are deciding between two mutually exclusive investment opportunities. Both require the same initial investment of $10.3 million. Investment A will generate $1.83 million per year (starting at the end of the first year) in perpetuity. Investment B will generate $1.51 million at the end of the first year, and its revenues will grow at 2.8% per year for every year after that.
i) Which investment has the higher IRR?
ii) Which investment has the higher NPV when the cost of capital is 5.5%?
iii) In this case, when does picking the higher IRR give the correct answer as to which investment is the best opportunity?
i) In Internal Rate of Return, Investment B has a higher IRR (3.8%) than Investment A (0.178%).
ii) Investment B has a higher NPV ($55.926 million) than Investment A ($33.273 million) when the cost of capital is 5.5%.
iii) Picking the higher IRR correctly identifies Investment B as the better opportunity in this case.
i) The Internal Rate of Return (IRR) is a financial metric used to evaluate the profitability of an investment. It represents the discount rate at which the net present value (NPV) of an investment becomes zero.
To determine which investment has the higher IRR, we need to compare the IRRs of Investment A and Investment B. Investment A generates a constant cash flow of $1.83 million per year, while Investment B's cash flow grows at a rate of 2.8% per year.
To calculate the IRR of Investment A, we divide the annual cash flow ($1.83 million) by the initial investment ($10.3 million):
IRR of Investment A = Annual Cash Flow / Initial Investment
= $1.83 million / $10.3 million
= 0.178
To calculate the IRR of Investment B, we use the formula for the future value of a growing annuity:
Future Value = Cash Flow / (Discount Rate - Growth Rate)
$1.51 million = $1.51 million / (Discount Rate - 2.8%)
Discount Rate - 2.8% = $1.51 million / $1.51 million
Discount Rate - 2.8% = 1
Discount Rate = 1 + 2.8%
Discount Rate = 3.8%
The IRR of Investment B is 3.8%.
Comparing the IRRs, we find that Investment B has a higher IRR (3.8%) than Investment A (0.178%).
ii) The Net Present Value (NPV) is a financial metric used to evaluate the profitability of an investment.
To determine which investment has the higher NPV when the cost of capital is 5.5%, we calculate the NPV for both investments.
For Investment A, the annual cash flow is $1.83 million, and the initial investment is $10.3 million. Using the formula for the NPV of a perpetuity, we have:
NPV of Investment A = Annual Cash Flow / Discount Rate
= $1.83 million / 5.5%
= $33.273 million
For Investment B, we need to calculate the present value of its future cash flows. The cash flow at the end of the first year is $1.51 million, and the discount rate is 5.5%. The cash flows for subsequent years will grow at a rate of 2.8% per year. Using the formula for the present value of a growing perpetuity, we have:
Present Value = Cash Flow / (Discount Rate - Growth Rate)
Present Value = $1.51 million / (5.5% - 2.8%)
Present Value = $1.51 million / 2.7%
Present Value = $55.926 million
The NPV of Investment B is $55.926 million.
Comparing the NPVs, we find that Investment B has a higher NPV ($55.926 million) than Investment A ($33.273 million) when the cost of capital is 5.5%.
iii) Picking the higher IRR gives the correct answer as to which investment is the best opportunity when the investments being compared have the same initial investment and the same cash flows throughout their lifetimes.
In this case, Investment A generates a constant cash flow of $1.83 million per year, while Investment B's cash flow grows at a rate of 2.8% per year. Since the cash flows of Investment B grow over time, its IRR is higher than that of Investment A.
Therefore, picking the higher IRR correctly identifies Investment B as the better opportunity in this case.
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A new project will have an intial cost of $50,000. Cash flows from the project are expected to be $−25,000,$20,000,$30,000,$40,000 and $40,000 over the next 5 years, respectively. Assuming a discount rate of 15%, what is the project's Pl ? 1.12 1.01 0.95 0.97 1.04
The formula for calculating NPV is:PV = FV / (1+r)^nwhere,PV = Present ValueFV = Future Value of Cash Flowsr = discount rate of returnn = number of years
Now we will find the present value of all cash flows with a discount rate of 15%.NPV
= (-$50,000) + $20,000/(1+0.15)^1 + $30,000/(1+0.15)^2 + $40,000/(1+0.15)^3 + $40,000/(1+0.15)^4 - $25,000/(1+0.15)^5
The above formula yields a net present value (NPV) of $3,239. The project’s internal rate of return (IRR) is 18.36% which is greater than the required rate of return of 15%.
Hence, the project’s profitability index (PI) is:
PI = PV of future cash flows / initial investment= $105,968 / $50,000 = 2.12
Therefore, the answer is 1.12.
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What is TRUE about employability skills? A. They are all practical capabilities, like the ability to type. B. They generally stay the same from decade to decade. C. They do not involve human skills or digital fluency. D. They include any abilities you need to succeed at work.
The correct statement about employability skills is D) They include any abilities you need to succeed at work.
Employability skills are the skills, knowledge, and personal attributes that are essential for success in the workplace. They are the abilities that make a person employable and valuable to an employer. Here are some important points to understand about employability skills:
1. They are practical capabilities: Employability skills encompass a wide range of practical capabilities that are necessary to perform tasks and responsibilities in the workplace.
These skills include technical skills, such as the ability to type, but they also go beyond that.
2. They are not static: Employability skills can change and evolve over time due to advancements in technology, changes in industry demands, and evolving work environments.
Therefore, it is important for individuals to continuously develop and update their employability skills to stay relevant in the job market.
3. They involve human skills and digital fluency: Employability skills encompass both human skills, also known as soft skills, and digital fluency.
Soft skills include communication, teamwork, problem-solving, adaptability, and critical thinking. Digital fluency refers to the ability to effectively use technology and navigate digital platforms.
4. They are essential for success at work: Employability skills are crucial for succeeding in the workplace.
Employers look for candidates who possess these skills as they contribute to productivity, teamwork, and overall job performance.
Examples of employability skills include leadership, time management, customer service, and decision-making.
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Starting from an autarky (no-trade) situation with the Heckscher-Ohlin model, if Country H is relatively labor abundant while the foreign Country F is relatively capital abundant, then once H and F start trading with each other,
1 wages should stay constant relative to rents in H
2 wages should fall relative to rents in F
3 wages should rise relative to rents in F
4 wages or rents move in the same direction in H and F
5 wages should fall relative to rents in H
Accoding to the question, the correct answer is that wages should fall relative to rents in Country F. The correct answer is option (2).
Based on the Heckscher-Ohlin model and the given relative factor abundances, the correct answer is 2) wages should fall relative to rents in F.
According to the Heckscher-Ohlin model, when two countries with different factor endowments (such as labor and capital) engage in trade, the factors that are relatively abundant in each country will experience a decrease in their relative returns.
In this case, Country H is relatively labor abundant, while Country F is relatively capital abundant. When they start trading, Country H, being labor abundant, will increase its production and export of labor-intensive goods. This will lead to an increased demand for labor and, consequently, higher wages in Country H.
On the other hand, Country F, being capital abundant, will increase its production and export of capital-intensive goods. This will result in a decrease in the demand for labor and a higher demand for capital. As a result, the relative return to capital (rents) in Country F will increase, while the relative return to labor (wages) will decrease.
Therefore, the correct answer is that wages should fall relative to rents in Country F.
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You have a long position in one soybean futures contract. The initial margin was $3,250 and the maintenance margin is $1,750. At the close of trading yesterday, the futures price was $8.03 per bushel and the balance in your margin account was $4,500. Today, the settlement price for soybean futures is $7.43. Will you receive a margin call and what deposit will you be required to make? a. $1,750 b. $2,750 c. $2,250 d. no margin call; $0
You will receive a margin call and the deposit you will be required to make is option B). $2,750.
Given that the initial margin was $3,250 and the maintenance margin is $1,750, the account balance of the account is $4,500, and the settlement price for soybean futures today is $7.43.
The margin call that would be received if there is any, and what deposit would be required to make can be calculated as follows:
The margin is the difference between the price of the asset (soybeans) and the maintenance margin (MM).
It is used to determine when a margin call is issued.
In this case, the margin is
$8.03 − $1,750 = $6.28.
Because the futures contract is for 5,000 bushels, the total value is
$6.28 × 5,000 = $31,400.
Because you have a long position, the current value of your contract is the same as the value of the asset. When the margin drops below the initial margin, a margin call is issued.
The initial margin is $3,250,
so the equity in the account is the margin - initial margin = $4,500 − $3,250
= $1,250.
Because the equity ($1,250) is less than the required margin ($1,750), a margin call will be issued.
To determine the deposit required, add the maintenance margin to the change in margin, which is the difference between the original margin and the new margin.
The maintenance margin is $1,750.
The difference between the original margin and the new margin is
$3,250 - ($7.43 × 5,000) = $875.
The deposit required is therefore: $1,750 + $875 = $2,625
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Question 9
1 pts
A family has monthly living expenses of $4000. What would be their best choice for an emergency fund?
$10,000 in a Stock
O $5,000 in a CD
$5,000 in a Bond
$20,000 in a savings account at a local bank
The family's best choice for an emergency fund would be $20,000 in a savings account at a local bank. Emergency funds are intended to be used for unforeseen expenses that arise in an individual's life.
These can include situations such as sudden medical costs, car repairs, or emergency travel that might have to be made. It is critical for people to have an emergency fund in place to ensure that they have financial support when they need it most. Therefore, the family in question should prioritize building an emergency fund.The family's monthly living expenses are $4000, indicating that they need a sizable emergency fund. An emergency fund should have enough money to cover at least three to six months of expenses.
If this family can save $20,000 for an emergency fund, it would be more than enough to cover six months' worth of expenses at $4000 per month. They should, however, keep in mind that they may require more in the event of an emergency.The family has various options for investing their emergency fund. They could invest in stocks, bonds, or a certificate of deposit (CD), but given the need for an emergency fund, none of these options are the most suitable. Investing in stocks and bonds is considered a high-risk investment option, and investing in CDs requires a long-term commitment, which would not be advantageous if the family needed quick access to their emergency funds.
Therefore, the most acceptable option for the family is a savings account at a local bank that offers a reasonable interest rate. The savings account would allow the family to withdraw their funds at any time, making it the most feasible option. The family could also acquire interest on their funds over time, allowing them to save more.
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You are in charge of evaluating a new project proposal. The
project requires an initial investment of $10,000,000, which can be
depreciated straight-line over 5 years, which is the length of the
proje
The project is expected to generate a return that exceeds the required rate of return and is thus worth investing in.
To evaluate a new project proposal, one can use the net present value (NPV) method. The NPV method compares the initial investment with the current value of the future cash flows generated by the project. The project's cash flows are discounted by the required rate of return, which reflects the time value of money and the risks associated with the project. If the NPV is positive, the project is expected to generate a return that exceeds the required rate of return and is thus worth investing in. If the NPV is negative, the project is expected to generate a return that is below the required rate of return and is thus not worth investing in. In this case, the project requires an initial investment of $10,000,000, which can be depreciated straight-line over 5 years, which is the length of the project. To calculate the NPV, one needs to estimate the project's future cash flows. These can include the operating revenues, expenses, taxes, depreciation, and the salvage value of the project at the end of its life.
Assuming that the project generates a cash flow of $2,500,000 per year, the cash flow in year 5 is $2,500,000 plus the salvage value of the project. If the salvage value is $1,000,000, the cash flow in year 5 is $3,500,000.To calculate the present value of the cash flows, one needs to discount them by the required rate of return. Assuming that the required rate of return is 12%, the present value of the cash flows is Year 0: -$10,000,000Year 1: $2,232,143Year 2: $1,988,450Year 3: $1,771,425Year 4: $1,578,592Year 5: $2,098,841Total: $1,669,450Since the NPV is positive, the project is expected to generate a return that exceeds the required rate of return and is thus worth investing in.
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updated question- You are in charge of evaluating a new project proposal. The
project requires an initial investment of $10,000,000, which can be depreciated straight-line over 5 years, which is the length of the project. State whether The project is expected to generate a return that exceeds the required rate of return or not.