The value of the $100,000 interest rate swap, having a remaining life of 15 months, with interest payments occurring every 6 months, to the party paying floating is $77.51.
To calculate the value of the swap to the party paying floating, we need to calculate the present value of the floating rate payments and the present value of the fixed rate payments, and then take the difference.
The floating rate payments are based on six-month LIBOR, which is reset every six months. We can calculate the floating rate payments as follows:
For the first six-month period, the floating rate is 4%, which is below the fixed rate of 4.6%, so the party paying floating pays the fixed rate. The payment is $2,300 (=$100,000 x 4.6% x 6/12).
For the second six-month period, the floating rate is 5.5%, which is above the fixed rate of 4.6%, so the party paying floating pays the floating rate. The payment is $2,750 (=$100,000 x 5.5% x 6/12).
For the third six-month period, the floating rate is also 5.5%, so the payment is again $2,750.
For the fourth six-month period (i.e., the final period), the floating rate is unknown, as it will be set at the beginning of the period. However, we can use the six-month LIBOR forward rate to estimate it. The six-month LIBOR forward rate for this period is 5.5%, so we can assume that the floating rate will be 5.5%. The payment is $2,750.
To calculate the present value of these floating rate payments, we need to discount them using the risk-free rate. The risk-free rate is 5% (cont. comp), which is equivalent to 2.47% (compounded semi-annually) for a six-month period. The present value of the payments is:
PV(floating) = [tex]\$2,300 / (1 + 2.47\%) + \$2,750 /(1 + 2.47\%)^2 + \$2,750 / (1 + 2.47\%)^3 + \$2,750 / (1 + 2.47\%)^4[/tex]
= $9,866.59
The fixed rate payments are based on the fixed rate of 4.6%, which is paid every six months. We can calculate the fixed rate payments as follows:
For the first six-month period, the payment is $2,300.
For the second six-month period, the payment is also $2,300.
For the third six-month period, the payment is again $2,300.
For the fourth six-month period, the payment is also $2,300.
To calculate the present value of these fixed rate payments, we again need to discount them using the risk-free rate. The present value of the payments is: PV(fixed) = [tex]\$2,300 / (1 + 2.47\%) + \$2,300 / (1 + 2.47\%)^2 + \$2,300 / (1 + 2.47\%)^3 + \$2,300 / (1 + 2.47\%)^4[/tex]
= $9,789.08
The value of the swap to the party paying floating is the difference between the present value of the floating rate payments and the present value of the fixed rate payments:
Value of swap = PV(floating) - PV(fixed)
= $9,866.59 - $9,789.08
= $77.51
Therefore, the value of the swap to the party paying floating is $77.51.
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pr efforts on behalf of charities, relief groups, or other organizations serving publics in need are called select one: a. do-good pr. b. cause marketing. c. viral pr. d. lobbying.
The correct answer is b. Cause marketing.
Cause marketing is a public relations effort that focuses on marketing a product, service, or brand in a way that benefits a charitable cause. The public relations effort helps to increase awareness of the charity's mission and help to build relationships between the charity and the company.
It can also increase sales for the company and help to raise the profile of the charity. Cause marketing typically involves a company making a donation to the charity, or offering some other type of promotional benefit such as discounted prices or special offers. A company may also use cause-related marketing as a way to show its commitment to social issues, such as by supporting a cause that is important to its target audience.
Cause marketing can be a powerful tool for companies to use in order to demonstrate their commitment to social responsibility while also building relationships with customers and other stakeholders.
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economists who study monetary policy believe that it takes anywhere from ________ for monetary policy to have a substantial effect on economic activity.
Economists who study monetary policy believe that it takes anywhere from six months to a year for monetary policy to have a substantial effect on economic activity.
This is because changes in interest rates and the money supply take time to filter through the economy and impact consumer and business behavior. It is important for policymakers to be patient and allow the effects of monetary policy to fully manifest before making any further adjustments.
This time frame is necessary for changes in interest rates or money supply to fully influence the economy through various channels, such as investment decisions and consumer spending.
Monetary policy is enacted by a central bank to sustain a level economy and keep unemployment low, protect the value of the currency, and maintain economic growth. By manipulating interest rates or reserve requirements, or through open market operations, a central bank affects borrowing, spending, and savings rates.
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Stocks A and B have the following probability distributions of expected future returns:
Probability A B
0.1 (9 %) (22 %)
0.2 4 0
0.5 13 21
0.1 20 29
0.1 29 37
Calculate the expected rate of return, , for Stock B ( = 11.30%.) Do not round intermediate calculations. Round your answer to two decimal places.
%
According to the question, the expected rate of return for Stock B is 2.2% + 0% + 10.5% + 2.9% + 3.7% = 11.30%.
What is rate of return?Rate of return is a measure of an investment's performance over a given period of time. It is calculated by dividing the gain or loss on the investment by the original cost of the investment. The rate of return is usually expressed as a percentage. It is used to compare different investments and to measure the performance of an investment portfolio.
The expected rate of return for Stock B is calculated by multiplying each probability by the corresponding return and summing the products.
0.1 x 22% = 2.2%
0.2 x 0% = 0%
0.5 x 21% = 10.5%
0.1 x 29% = 2.9%
0.1 x 37% = 3.7%
Expected rate of return = 2.2% + 0% + 10.5% + 2.9% + 3.7% = 11.30%.
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a company's product sells at $12.22 per unit and has a $5.33 per unit variable cost. the company's total fixed costs are $96,900. the break-even point in units is:
The break-even point is the point at which a company's total revenue equals its total costs, resulting in neither a profit nor a loss.
To calculate the break-even point in units, we can use the following formula:
Break-even point (in units) = Total Fixed Costs / (Selling Price per Unit - Variable Cost per Unit)
Given the information provided:
Selling Price per Unit = $12.22
Variable Cost per Unit = $5.33
Total Fixed Costs = $96,900
Plugging these values into the formula:
Break-even point (in units) = $96,900 / ($12.22 - $5.33)
Break-even point (in units) = $96,900 / $6.89
Break-even point (in units) ≈ 14,063.86
So, the break-even point in units for the company is approximately 14,063.86 units. This means that the company needs to sell at least 14,063.86 units in order to cover its total fixed costs and avoid incurring a loss.
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Royal, Inc., is considering a change in its cash-only sales policy. The new terms of sale would be net one month. The required return is 64 percent per month. Current Policy New Policy Price per unit $ 780 $ 780Cost per unit $ 570 $ 570 Unit sales per month 840 890Calculate the NPV of the decision to switch. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) NPV $_______
The NPV of switching from the current cash-only sales policy to the new net one-month policy is -$84,787.80.
How to calculate the net present value (NPV) for a company?To calculate the NPV of the decision to switch from the current cash-only sales policy to the new net one-month policy, we need to compare the present value of the cash inflows and outflows associated with each policy.
Under the current policy, Royal, Inc., receives cash of $780 per unit sold, and incurs a cost of $570 per unit sold. Therefore, the cash inflow per unit is $780 - $570 = $210. Multiplying this by the number of units sold per month (840), we get a total monthly cash inflow of $176,400.
Under the new policy, Royal, Inc., will receive cash of $780 per unit sold one month after the sale, and will continue to incur a cost of $570 per unit sold at the time of sale.
Therefore, the cash inflow per unit under the new policy is $0 in the first month and $780 in the second month. Multiplying the number of units sold per month (890) by the second-month cash inflow per unit ($780), we get a total monthly cash inflow of $695,400 in the second month.
However, we need to discount this amount back to present value using the required return of 64% per month.
Therefore, the present value of the second-month cash inflow is:
PV = $695,400 / (1 + 0.64) = $422,512.20
The net cash outflow under the new policy is the cost of goods sold ($570) multiplied by the number of units sold per month (890) in the first month. Therefore, the net cash outflow is:
$570 × 890 = $507,300
The NPV of the decision to switch to the new policy is the present value of the second-month cash inflow minus the net cash outflow in the first month:
NPV = PV of second-month cash inflow - net cash outflow in first month
NPV = $422,512.20 - $507,300
NPV = -$84,787.80
Therefore, the NPV of the decision to switch to the new policy is -$84,787.80. This suggests that switching to the new policy is not a profitable decision for the company.
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what is the difference between cash flow rights and control rights
. Explain these two rights in the context of debt verdus equity,
common equity versus perferred equity, and dual class shares.
cash flow rights and control rights are key distinctions between different types of financing and share classes. Debt provides cash flow rights but not control rights, while equity offers both. Common equity has more balanced cash flow and control rights compared to preferred equity and dual-class shares, where control rights may be limited or separated from cash flow rights.
The difference between cash flow rights and control rights, and how they apply to various types of financing.
Cash flow rights refer to the rights of investors to receive cash distributions from the company, such as dividends or liquidation proceeds. Control rights refer to the rights of investors to influence the management and decision-making processes within the company, typically through voting rights associated with shares.
Debt versus Equity:
1. In debt financing, lenders have cash flow rights to receive interest payments and principal repayments, but they generally do not have control rights, as they cannot vote on company matters.
2. In equity financing, shareholders have both cash flow rights (dividends) and control rights (voting rights) proportionate to their ownership stake in the company.
Common Equity versus Preferred Equity:
1. Common equity holders have both cash flow rights and control rights. They receive dividends and have voting rights in proportion to their ownership.
2. Preferred equity holders have a higher claim on cash flow rights compared to common equity holders, such as receiving dividends before common shareholders. However, their control rights are usually limited or nonexistent, as they often do not have voting rights.
Dual-Class Shares:
Dual-class shares refer to a company issuing multiple share classes with different levels of control rights.
1. Class A shares typically have more voting rights, providing the holder with greater control rights in the company.
2. Class B shares usually have fewer voting rights or no voting rights at all, resulting in limited control rights for the holder.
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5. Assume the company's growth rate slows to the industry average in five years. What future return on equity does this imply, assuming a constant payout ratio? 6. After discussing the stock value with Josh, Carrington and Genevieve agree that they would like to increase the value of the company stock. Like many small business owners. they want to retain control of the company, so they do not want to sell stock to outside investors. They also feel that the company's debt is at a manageable level and do not want to borrow more money. How can they increase the price of the stock? Are there any conditions under which this strategy would not increase the stock price?
To determine the future return on equity (ROE) when the company's growth rate slows to the industry average in five years, assuming a constant payout ratio, we can use the following formula: ROE = (Growth Rate + Dividend Payout Ratio) / (1 - Dividend Payout Ratio).
Here, the growth rate refers to the industry average growth rate, and the dividend payout ratio remains constant. Carrington and Genevieve can increase the value of their company's stock without selling new shares or borrowing more money by reinvesting profits back into the company, focusing on operational efficiency, or pursuing strategic acquisitions to grow their business.
However, this strategy might not always increase the stock price if the market conditions are unfavorable, the company's competitive position weakens, or if the return on invested capital is lower than the cost of capital.
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which of the following is a normative macroeconomics statement? the rise in gasoline price had an adverse effect on holiday travels o the federal reserve should leave interest rates unchanged according to an article published on cbsnews, the trade war between the u.s. and china is taking a toll. u.s. agricultural exports to china dropped to $9.1 billion in 2018, down from $19.5 billion the previous year, according to the american farm bureau. when amazon made its one-day shipping the new standard for all prime customers it sent shares of walmart and target tumbling.
The statement "the federal reserve should leave interest rates unchanged" is a normative macroeconomics statement. This is a normative statement because it expresses an opinion about what should be done, rather than stating a fact.
Normative macroeconomics is a branch of economics that deals with the evaluation and formulation of economic policies that aim to achieve desirable outcomes. It is concerned with the study of how the economy should behave, rather than how it actually behaves.
On the other hand, the Federal Reserve is the central bank of the United States, responsible for conducting monetary policy and regulating the financial system. The Federal Reserve plays a significant role in setting interest rates, managing inflation, and promoting economic growth. In short, normative macroeconomics is concerned with setting economic policies that align with certain desirable outcomes, while the Federal Reserve is a key institution that implements those policies.
Therefore, "federal reserve should leave interest rates unchanged" is the correct answer.
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do you believe the cost of equity you calculated is a reasonable measure of the risk in your high income country?
Yes, I believe the cost of equity I calculated is a reasonable measure of the risk in my high income country.
This is because the cost of equity takes into account the potential return an investor can expect to receive for the risk they are taking on by investing in a particular company or market. In a high income country, there is typically lower overall risk as there is a stable economy, political stability and strong legal systems.
Therefore, the cost of equity calculated for a company in a high income country is likely to be lower than in a developing country where there is higher overall risk.
However, it is important to note that the cost of equity is just one measure of risk and other factors such as market volatility, interest rates, and global economic conditions can also impact the risk level of a particular investment.
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when developing software or any sort of product or service, there exists a tension between time, quality, and cost. this is referred to as the .
When developing software or any sort of product or service, there exists a tension between time, quality, and cost. This is referred to as the "triple constraint" or the "project management triangle."
It is a fundamental principle in project management that these three elements are interrelated, and that any changes to one will affect the other two. For example, if you want to reduce the development time, you may need to increase the cost or sacrifice some of the quality. Similarly, if you want to improve the quality, it may take more time and cost more money. It is important for project managers to carefully balance these three factors in order to deliver a successful product or service.
Software is a set of instructions, data or programs used to operate computers and execute specific tasks. It is the opposite of hardware, which describes the physical aspects of a computer. Software is a generic term used to refer to applications, scripts and programs that run on a device.
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Determine if the following are true business requirements or solutions.
New Product Requirements
Sales must enlist the aid of a Customer Systems Engineer at time of order 100% of the time
Sales must complete the product checklist daily
All orders must be processed within 24 hours
One password and ID must assigned within 48 hours to the end user
A template must be created daily at the time of the order by the sales rep.
From the given option, 'all orders must be processed within 24 hours' is a business requirement while the remaining options are solutions.
Whether the following items are true business requirements or solutions is as follows:1. Sales must enlist the aid of a Customer Systems Engineer at the time of order 100% of the time.
This is a solution because it describes a specific way to achieve a desired outcome (improved customer support during the order process).
2. Sales must complete the product checklist daily.
This is a solution as it outlines a specific task to be completed by the sales team daily (completing the product checklist).
3. All orders must be processed within 24 hours.
This is a true business requirement because it defines a necessary condition for the business to function properly (timely order processing).
4. One password and ID must be assigned within 48 hours to the end user.
This is a solution because it states a specific way to provide access to the end user within a given timeframe.
5. A template must be created daily at the time of the order by the sales rep.
This is a solution as it prescribes a specific action to be performed by the sales rep (creating a template at the time of order).
In summary, items 1, 2, 4, and 5 are solutions because they describe specific methods or actions to achieve a desired outcome. Item 3 is a true business requirement because it sets a necessary condition for the business to operate effectively.
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if the average cost per coffee is $3 , will firms exit or enter the coffee market? c. what is the average cost per coffee in the long run?
This impact the number of firms in the market, in a way if input costs increase and the market price does not increase in response, firms may exit the market. If input costs decrease, the average cost may decrease, potentially attracting new firms to enter the market.
Changes in input costs can have a significant impact on the long-run average cost per coffee in a perfectly competitive market. For example, an increase in the cost of coffee beans, labor, or rent can increase the average cost of producing coffee.
If the market price of coffee does not increase in response to the increase in input costs, firms may find it difficult to cover their costs, and some may exit the market.
On the other hand, if input costs decrease, the average cost of producing coffee may decrease, allowing firms to earn higher profits and potentially attracting new firms to enter the market.
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The complete question is :
How do changes in input costs affect the long-run average cost per coffee in a perfectly competitive market, and how does this impact the number of firms in the market?
If you decided to go into the retail business (include restaurant) would you prefer to buy an independent business, start a new business or buy a franchise?
Whether to buy an independent business, start a new business or buy a franchise depends on the individual's goals and resources.
Buying an independent business can be a great way to get started quickly, as it allows the owner to hit the ground running. It also offers the potential for quick returns on the initial investment.
Starting a new business, on the other hand, would allow the owner to build the company from the ground up, which can be very rewarding. It also allows for greater creative control over the business.
Finally, buying a franchise can be a great way to hit the ground running, as the franchisee benefits from the existing brand recognition, marketing, and other support from the franchisor. Ultimately, the choice depends on the individual's goals and resources.
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tcpa regulation, lead gen advertiser tend to shift to lead-to-sales, lead-to-installation. why? how does it works
The TCPA (Telephone Consumer Protection Act) regulation has strict rules regarding the use of automated phone calls, text messages, and faxes for marketing purposes. This has led lead generation advertisers to shift their focus to lead-to-sales and lead-to-installation strategies.
TCPA (Telephone Consumer Protection Act) regulations are in place to protect consumers from unwanted telemarketing calls, faxes, and text messages.
In summary, lead gen advertisers are shifting to lead-to-sales and lead-to-installation strategies due to TCPA regulations to ensure compliance and improve their targeting of high-quality leads, which results in a better return on investment.
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Beaver, a city in the United States, is attempting to attract a professional soccer team. Beaver is planning to build a new stadium that will cost $250 million. Annual upkeep is expected to amount to $800,000. The turf will have to be re- placed every 10 years at a cost of $950,000. Painting every 5 years will cost $75,000. If the city expects to maintain the facility indefinitely, what is the estimated capitalized cost at i = 8% per year?
The price per share for the following year would be $32 given that the stock is anticipated to have an ongoing dividend payment price per share and the cost of capital for the company.
When a stock, like the one described, has an indefinite payout, the price can be calculated by dividing the indefinite payment per share by the cost of capital.
10% interest rate, or 0.10. Base cost present value is equal to $500 million, or $500,000,000.
$1,000,000/r
= $1,000,000 / 0.10
= $10,000,000 is the present value of annual maintenance.
Artificial turf replacement cost present value is calculated as ($2,000,000 * (r / (1 + r)20) - 1) /r
= ($2,000,000 (0:10 / (1 + 0.10)20)-1) / 0.10
= $349,192.50
($250,000* (r/ (1+ r5)-1)/
r= ($250,000* (0.10 / (1+ 0.105)-1) / 0:10)
= $409,493.70 Present value of the painting
As a result, we have: Capitalised cost equals the present value of the base cost less the present value of annual maintenance. Artificial turf replacement costs in present value every 20 years and painting costs in present value every 5 years come to: $500,000,000, $10,000,000, $349,192.50, $409,493.70, or $510,758,686.20.
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according to john kotter, leadership a. produces useful change in organizations. b. controls organizational and environmental complexity. c. both agitates for change and advocates stability. d. cannot be distinguished from management.
According to John Kotter, leadership A. produces a useful change in organizations.
As a renowned expert in organizational change and leadership, Kotter emphasizes the importance of effective leadership in driving transformation and adapting to dynamic environments. Leaders have the vision and ability to inspire, motivate, and guide their teams to achieve desired outcomes. They identify the need for change, set the direction, and work collaboratively with others to bring about meaningful, positive results.
In summary, according to John Kotter, leadership is primarily responsible for producing a useful change in organizations. It plays a crucial role in identifying, initiating, and facilitating transformation. In contrast, management is responsible for controlling complexity and ensuring stability in daily operations. Both leadership and management contribute to the overall success and sustainability of an organization. Therefore the correct option is A
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the impact of psychological factors and investor expectations make it difficult for exchange rate theories to predict blank______ changes in exchange rates. multiple choice question.
The impact of psychological factors and investor expectations make it difficult for exchange rate theories to predict blank changes in exchange rates.
Your answer: The impact of psychological factors and investor expectations make it difficult for exchange rate theories to predict short-term changes in exchange rates.
Explanation: Exchange rate theories, such as purchasing power parity (PPP) and interest rate parity (IRP), are built on the assumption that market participants behave rationally and are primarily influenced by economic fundamentals.
However, in the short-term, exchange rate movements can be significantly influenced by psychological factors and investor expectations.
Psychological factors include herd behavior, where investors follow the actions of others rather than independently analyzing market conditions. This can lead to overreactions or underreactions to economic events, causing exchange rates to deviate from their predicted values.
Investor expectations play a crucial role in short-term exchange rate movements, as they are often influenced by factors such as market sentiment, political events, and financial news. These factors can lead to sudden shifts in investor expectations, which can cause exchange rates to fluctuate unpredictably.
In conclusion, the impact of psychological factors and investor expectations makes it difficult for exchange rate theories to accurately predict short-term changes in exchange rates, as they can be influenced by non-fundamental factors that are difficult to model and quantify.
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24) Which one of the following is the highest rating for bond? a. AAA b. AA I C. A d. BBB 25) What is the present value of an investment with following cash flows? Year 1 $14,000 Year 2 $20,000 Year 3 $30,000 Year 4 $43,000 Year 5 $57,000 Page 3 of 4 Use a 7% discount rate, and round your answer to the nearest $1. a $128,487 b. S107,328 c. $112,346 d. $153,272
Answer to question 24: The highest rating for a bond is AAA. The correct option is a. This rating indicates that the bond is of high quality and has a very low risk of default.
AA is the second-highest rating and indicates a slightly higher risk of default than AAA, followed by A and BBB, which indicate even higher levels of risk.
Answer to question 25: We get an answer of $128,487, rounded to the nearest dollar. To find the present value of the investment, we need to discount each cash flow back to the present using the given discount rate of 7%.
Once we have the present value of each cash flow, we can add them together to get the total present value of the investment. This represents the value of the investment today, given the future cash flows and the specified discount rate.
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when considering perfect competition the absence of entry barriers implies that part 2 a. no firm can enter the industry. b. firms can enter but cannot get out of the industry easily. c. all firms will earn economic profit. d. firms can enter and leave the industry without serious impediments.
In the context of perfect competition and considering the absence of entry barriers, the correct answer is option D: firms can enter and leave the industry without serious impediments.
Perfect competition is an economic model where numerous small firms produce homogeneous products, and no single firm has the power to influence the market price. Entry and exit barriers are factors that restrict the ability of firms to enter or exit an industry. When there are no entry barriers, new firms can easily join the market, and existing firms can leave the industry without facing major challenges. The absence of entry barriers promotes competition, as it encourages new firms to enter the market and compete with existing firms. This ultimately results in an efficient allocation of resources and a balance between supply and demand.
As a consequence, firms in perfect competition will not earn long-term economic profit, as any profits would attract new competitors, driving down prices and reducing profit margins. In summary, perfect competition without entry barriers allows firms to enter and exit the industry freely, fostering a competitive environment that benefits both consumers and businesses in terms of efficiency and resource allocation.
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which of the following statements applies to the discount rate? the federal funds rate is the same as this rate. this rate is charged to depositors who are unable to meet their reserve requirement. the fed does not directly control this rate. this rate is used when banks borrow directly from the fed.
The discount rate is the interest rate that the Fed charges commercial banks when they borrow directly from the Fed's discount window. It is a tool used by the Fed to provide liquidity to the banking system, and its level influences borrowing and lending decisions by banks. The federal funds rate is not the same as the discount rate, and the Fed does not directly control the discount rate.
The discount rate is the interest rate that the Federal Reserve charges commercial banks to borrow funds from the Fed's discount window. The primary purpose of the discount rate is to provide liquidity to the banking system. When banks face a shortage of funds, they can borrow from the Fed's discount window to meet their reserve requirements and continue their lending operations.
Out of the given statements, the statement that applies to the discount rate is this rate is used when banks borrow directly from the Fed.This is because the discount rate is the interest rate charged by the Fed to commercial banks when they borrow directly from the Fed's discount window.
The federal funds rate, on the other hand, is the interest rate that banks charge each other for overnight loans of their excess reserves. This rate is not the same as the discount rate, as stated in one of the given statements. The Fed sets the federal funds rate through its open market operations, where it buys and sells government securities to influence the supply of reserves in the banking system.
Another statement that is not applicable to the discount rate is ""this rate is charged to depositors who are unable to meet their reserve requirement."" This statement describes the penalty rate that the Fed charges banks for failing to maintain the required level of reserves. The penalty rate is higher than the discount rate and is meant to encourage banks to maintain adequate reserves to meet their obligations.
Lastly, the Fed does not directly control the discount rate, but it does influence it through changes in its monetary policy. When the Fed wants to stimulate economic activity, it can lower the discount rate to encourage borrowing and lending by commercial banks. Conversely, when the Fed wants to slow down the economy, it can increase the discount rate, making it more expensive for banks to borrow from the Fed and reducing the money supply.
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Eric Inc.'s noncallable, 10-year, 10% semiannual coupon bonds currently sell for $1,135.90. They have a par value of $1,000. What is their yield to maturity? (Multiple Choice) a. 4.00% b. 3.38% c. 8.56% d. 8.00% e. 7.97% Assume that interest rates on 20-year Treasury and corporate bonds are as follows: T-bond = 2.89%, Corporate Bond = 4.73%. The difference in these rates was probably caused primarily by: (Multiple Choice) = a. Default and liquidity risk differences. b. Inflation differences. Tax effects. c. Maturity risk differences. d. Real risk-free rate differences.
The yield to maturity of Eric Inc.'s noncallable, 10-year, 10% semiannual coupon bonds is 8.00%. (D)
The difference in interest rates between the 20-year Treasury and corporate bonds is primarily caused by default and liquidity risk differences (Option a).
To calculate the yield to maturity (YTM), you need to use the bond pricing formula:
Bond Price = C * [(1 - (1 + YTM/2)⁻²ⁿ) / (YTM/2)] + Par Value * (1 + YTM/2)⁻²ⁿ
Where C is the semiannual coupon payment, n is the number of years until maturity, and YTM is the yield to maturity. In this case, C = $1,000 * 10% / 2 = $50.
By plugging the given values into the formula and solving for YTM, you'll find that YTM = 8.00%.
The difference in interest rates between the 20-year Treasury and corporate bonds is due to the varying levels of default and liquidity risk. T
reasury bonds are considered risk-free, while corporate bonds carry default risk, meaning there is a chance the issuing company could fail to make interest payments or repay the principal.
Additionally, corporate bonds often have less liquidity compared to Treasury bonds, making them less attractive to investors, and therefore requiring a higher yield to compensate for these risks.(D)
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An investor has two bonds in her portfolio, Bond C and Bond Z. Each bond matures in 4 years, has a face value of $1,000, and has a yield to maturity of 8.2%. Bond C pays a 11.5% annual coupon, while Bond Z is a zero coupon bond.
a.Assuming that the yield to maturity of each bond remains at 8.2% over the next 4 years, calculate the price of the bonds at each of the following years to maturity. Round your answer to the nearest cent.
Years to Maturity Price of Bond C Price of Bond Z
4 $ $
3 $ $
2 $ $
1 $ $
0 $ $
Price of Bond C:
4 years to maturity: $1,194.87
3 years to maturity: $1,145.47
2 years to maturity: $1,097.63
1 year to maturity: $1,051.32
0 years to maturity: $1,000.00
Price of Bond Z:
4 years to maturity: $820.08
3 years to maturity: $675.56
2 years to maturity: $552.28
1 year to maturity: $447.63
0 years to maturity: $367.47
The price of a bond is determined by the present value of its future cash flows, which is calculated using the bond's yield to maturity. For Bond C, the annual coupon payments of $115 ($1,000 x 11.5%) are discounted.
Using the yield to maturity of 8.2% and the face value of $1,000 is discounted using the same yield to maturity. For Bond Z, only the face value of $1,000 is discounted using the yield to maturity.
As the years to maturity decrease, the present value of the cash flows increase, resulting in an increase in the price of the bond. This is because the bondholder will receive the cash flows sooner, reducing the uncertainty of the bond's future cash flows.
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what is your effective annual yield in percentages on the mortgage with no points? info copied below you have just bought a new house for $360,000 and are taking out a mortgage for $288,000. your mortgage broker offers you a 30-year fixed-rate mortgage at 6% with no points.
The effective annual yield on the mortgage with no points is 6%.
To calculate the effective annual yield, we need to consider the interest rate, the number of compounding periods per year, and any fees associated with the mortgage. In this case, there are no points, which are fees paid at closing to lower the interest rate, so we only need to consider the interest rate and compounding periods.
The mortgage has a fixed interest rate of 6%, which means that the interest rate will not change over the 30-year term of the loan. The compounding periods are not specified, but assuming monthly compounding, we can calculate the effective annual yield using the formula:
Effective annual yield = (1 + (interest rate / compounding periods))^compounding periods - 1
Plugging in the numbers, we get:
Effective annual yield = (1 + (0.06 / 12))^12 - 1
Effective annual yield = 6.17%
As a result, the effective yearly return on the no-point mortgage is 6.17%. The real return, however, will be the same as the interest rate, which is 6%, because the interest rate is set and there are no costs.
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which broad economic goal is related to the extent to which the people in a society can provide for their own well-being even during a crisis? efficiency freedom growth security
The broad economic goal that is related to the extent to which the people in a society can provide for their own well-being even during a crisis is security.
Economic security refers to the ability of individuals, households, and societies to withstand economic shocks, such as job loss, illness, or natural disasters, without experiencing significant declines in their standard of living.
It is closely related to the concept of resilience, which refers to the ability of a system to recover from shocks and maintain its functionality. Efficiency, freedom, growth, and security are all important economic goals, but they have different focuses.
Efficiency is concerned with using resources in the most productive way possible, freedom is concerned with ensuring individuals have the ability to make choices without undue interference, growth is concerned with increasing the size of the economy and the standard of living, and security is concerned with providing a safety net for individuals and households to ensure their basic needs are met, even in times of crisis.
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You have a bond with a coupon rate of 8% and a market rate ofreturn of 10%, is the bond selling at a discount, premium, orpar?
The coupon rate (8%) is less than the market rate (10%), so the bond is selling at a discount.
Is the bond selling at a discount, premium, orpar?You have a bond with a coupon rate of 8% and a market rate of return of 10%. To determine if the bond is selling at a discount, premium, or par, we'll compare the coupon rate and the market rate.
Compare the coupon rate and market rate
- Coupon rate: 8%
- Market rate: 10%
Determine the bond's selling status
- If the coupon rate is less than the market rate, the bond sells at a discount.
- If the coupon rate is equal to the market rate, the bond sells at par.
- If the coupon rate is greater than the market rate, the bond sells at a premium.
In this case, the coupon rate (8%) is less than the market rate (10%), so the bond is selling at a discount.
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Your employer asks you to run some errands. The reimbursement rate is $0.54 per mile. You drive 6.5 miles. How much will the reimbursement be?
$8.31
$4.57
$3.51
$12.04
If your employer asks you to run some errands, you may be eligible for reimbursement for the expenses incurred during your work. In this case, your employer has stated that the reimbursement rate is $0.54 per mile. You have driven a total of 6.5 miles while running these errands.
To calculate the reimbursement amount, you simply need to multiply the mileage you drove by the reimbursement rate. Therefore, $0.54 x 6.5 = $3.51. This means that your reimbursement amount for driving 6.5 miles will be $3.51.
It is important to note that not all employers will offer mileage reimbursement or may have different reimbursement rates. It is always a good idea to check with your employer's policy on reimbursement rates and procedures.
If your employer offers reimbursement for mileage, be sure to keep track of the miles you drive for work-related purposes, including running errands, as this can add up over time.
In conclusion, in this scenario, your reimbursement for driving 6.5 miles for work-related errands will be $3.51 at a reimbursement rate of $0.54 per mile.
As an employee, it is always important to keep track of the miles you drive for work and to know your employer's reimbursement policy to ensure you receive the correct amount of reimbursement for any work-related expenses incurred.
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Use two methods including formula and various Excel functions to solve the following problem:
Calculate the duration for a $1000, 4-year bond with a 6% annual coupon, currently selling at par. Use the duration to estimate the percentage change in the bond’s price for a decrease in the market interest rate to 4%. Use the bond price volatility equation to compute the bond price volatility. Compare the result with the estimated percentage change in the bond price.
Bond Price Volatility is $73.51.
Duration can be calculated using the following formula:
Duration = (PV of Cash Flows × Time) / Bond Price
where,
PV of Cash Flows = Present Value of all Cash Flows
Time = Time to receipt of Cash Flows in years
The cash flows for this bond would be:
Year 1: $60 coupon
Year 2: $60 coupon
Year 3: $60 coupon
Year 4: $1060 (coupon plus principal)
The present value of these cash flows can be calculated using the present value formula:
[tex]PV = CF / (1+r)^n[/tex]
where,
CF = Cash Flow
r = discount rate
n = time to receipt of cash flow
For this bond, assuming a discount rate of 6%, the present value of cash flows would be:
[tex]PV of Year 1 coupon = $60 / (1+0.06)^1 = $56.60\\PV of Year 2 coupon = $60 / (1+0.06)^2 = $53.50\\PV of Year 3 coupon = $60 / (1+0.06)^3 = $50.47\\PV of Year 4 coupon and principal = $1060 / (1+0.06)^4 = $820.11[/tex]
Therefore, the PV of Cash Flows = $980.68
The Time to receipt of Cash Flows = 1, 2, 3, and 4 years
Using the formula above, we can calculate the duration:
Duration = ($980.68 × 1 + $980.68 × 2 + $980.68 × 3 + $980.68 × 4) / $1000
Duration = 3.827 years
To estimate the percentage change in the bond’s price for a decrease in the market interest rate to 4%, we can use the following formula:
% Change in Bond Price = - Duration × Change in Yield
where,
Change in Yield = New Yield - Old Yield
In this case, the change in yield would be 6% - 4% = 2%.
% Change in Bond Price = - 3.827 × 2% = -7.654%
Therefore, the estimated percentage change in the bond price would be a decrease of 7.654%.
To compute the bond price volatility using the bond price volatility equation, we can use the following formula:
Bond Price Volatility = Duration × Bond Price × (Change in Yield / (1 + Yield))
In this case, assuming a yield of 6%, the bond price volatility would be:
Bond Price Volatility = 3.827 × $1000 × (2% / (1 + 6%)) = $73.51
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Country A has a 90/10 ratio of 15.7(1990) and 12.42(2000) and a
50/10 ratio of 6.43(1990) and 5.09(2000)
Explain.
Based on the information provided, it seems like we have two different ratios for Country A in the years 1990 and 2000. Let's break down the data for a clearer understanding:
1. 90/10 Ratio:
- 1990: 15.7
- 2000: 12.42
2. 50/10 Ratio:
- 1990: 6.43
- 2000: 5.09
Now let's explain the data:
For the 90/10 ratio, in 1990, Country A had a value of 15.7, which means that for every 90 units of a certain factor (e.g. income, resources, etc.), there were 10 units of another factor. By 2000, this ratio decreased to 12.42, indicating that there was a reduction in the disparity between the two factors represented by the ratio.
For the 50/10 ratio, in 1990, Country A had a value of 6.43, which means that for every 50 units of a certain factor, there were 10 units of another factor. By 2000, this ratio decreased to 5.09, again showing a reduction in the disparity between the two factors represented by the ratio.
In conclusion, both the 90/10 and 50/10 ratios show a decrease from 1990 to 2000, indicating a reduction in the disparity between the factors represented by these ratios in Country A.
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1. [Short-Run Production] Suppose that a firm is producing in the short run with output given by: Q=100L-2L2 The firm hires labor at a wage of $20 per hour and sells the good in a competitive market at P = $5 per unit. Find the firm's optimal use of labor and associated level of output.
The firm's optimal use of labor is 25 units, resulting in an associated level of output of 1,875 units.
To find the optimal use of labor, we need to use the marginal product of labor (MPL) and marginal revenue product of labor (MRP) approach. MPL is the additional output produced by hiring one more unit of labor, while MRP is the additional revenue generated by hiring one more unit of labor.
MPL is calculated by taking the derivative of the production function with respect to labor: MPL = dQ/dL = 100 - 4L.
MRP is calculated by multiplying the marginal product of labor by the price of the good: MRP = MPL x P = (100 - 4L) x $5.
The firm's optimal use of labor is where MRP equals the wage rate: MRP = $20. Setting the two equations equal to each other and solving for L, we get L = 25.
Substituting the optimal labor input into the production function, we get Q = 100(25) - 2(25)2 = 1,875.
Therefore, the firm's optimal use of labor is 25 units, resulting in an associated level of output of 1,875 units.
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Your broker charges $0.0029 per share per trade. The exchange charges $0.0173 per share per trade for removing liquidity and credits $0.0155 per share per trade for adding liquidity. The current best BID price for stock XYZ is $82.89 per share, while the current best ASK price is $82.90 per share. You post an order to buy XYZ at the current best BID price and wait. Shortly after, the best BID and ASK prices move lower (down) by one cent each. Your buy order is executed. Immediately, you post an order to sell XYZ at the new best BID price, and your sell order is executed. What will be your net loss per share to buy and sell XYZ after considering the commissions and any exchange fees or credits?
Your net loss per share to buy and sell XYZ, after considering the commissions and any exchange fees or credits, is -$0.0176.
To calculate your net loss per share, let's consider the commissions and exchange fees or credits.
1. Buying XYZ:
- Execution price: $82.89 per share
- Broker commission: $0.0029 per share
- Exchange fee (adding liquidity): -$0.0155 per share (credit)
2. Selling XYZ:
- Execution price: $82.88 per share (since prices moved down by one cent)
- Broker commission: $0.0029 per share
- Exchange fee (removing liquidity): $0.0173 per share
Now, let's calculate the net loss per share:
Net loss per share = (Execution price of sell - Execution price of buy) - (Total commissions and exchange fees)
Net loss per share = ($82.88 - $82.89) - [($0.0029 + $0.0029) + ($0.0173 - $0.0155)]
Net loss per share = -$0.01 - ($0.0058 + $0.0018)
Net loss per share = -$0.01 - $0.0076
Your net loss per share to buy and sell XYZ, after considering the commissions and any exchange fees or credits, is -$0.0176.
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