The random variable x is known to be uniformly distributed between 30 and 40.
(a) Choose the correct graph of the probability density function.
(i) (ii) (iii) (iv) - Select your answer -Graph (i)Graph (ii)Graph (iii)Graph (iv)Item 1
(b) Compute P(x < 35). If required, round your answer to two decimal places.
(c) Compute P(32 ≤ x ≤ 39). If required, round your answer to two decimal places.
(d) Compute E(x).
(e) Compute Var(x). If required, round your answer to two decimal places.
Answers
(a) The correct graph of the probability density function is Graph (i).(b) P(x < 35) is the probability of the random variable x being less than 35 when it is uniformly distributed between 30 and 40. Therefore, we can calculate this as follows:Probability density function is defined by the following equation:f(x) = (1 / (b - a))Where, a = 30, b = 40f(x) = (1 / (40 - 30)) = 0.1P(x < 35) = ∫30 35 f(x) dx= 0.1 * (35 - 30) = 0.5(c) P(32 ≤ x ≤ 39) is the probability of the random variable x being between 32 and 39 when it is uniformly distributed between 30 and 40.
Therefore, we can calculate this as follows:Probability density function is defined by the following equation:f(x) = (1 / (b - a))Where, a = 30, b = 40f(x) = (1 / (40 - 30)) = 0.1P(32 ≤ x ≤ 39) = ∫32 39 f(x) dx= 0.1 * (39 - 32) = 0.7(d) E(x) is the expected value of the random variable x which is uniformly distributed between 30 and 40.
Therefore, we can calculate this as follows:Expected value of the uniform distribution E(x) = (a + b) / 2Where, a = 30, b = 40E(x) = (30 + 40) / 2 = 35(e) Var(x) is the variance of the random variable x which is uniformly distributed between 30 and 40. Therefore, we can calculate this as follows:Variance of the uniform distribution Var(x) = (b - a)^2 / 12Where, a = 30, b = 40Var(x) = (40 - 30)^2 / 12 = 8.33 (rounded to two decimal places)
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Related Questions
What’s the answer????
Answers
Opportunity cost is the value of your second choice, or whatever you give up to get something
Taylor gives up either the video games or the funny videos. So you can choose either one
La Belle Inc. introduced a new line of accessories for teenage girls the last season. Following its immense popularity with the targeted group, the company anticipated high sales in the current season and ordered raw materials accordingly. . However, the success of the new line turned out to be a fad as the teens soon turned to other products offered by competing brands and La Belle's sales declined. This forecasting error caused a huge discrepancy in the amount of raw materials they needed and the amount of inventory they had already piled up in anticipation of good sales. This is an example of ________.
Answers
Answer:
The bull whip effect
Explanation:
The bull whip effect is the fluctuations in inventories or asset as a result of demand changes as you move up in the supply chain. This demand distortion travels in an upward direction in the supply chain from the retailer through to the wholesaler and manufacturer due to the fluctuations in orders.
A method of reducing this effect is through establishing effective communications between the suppliers and customers so that the reason for the demand distortion can be communicated between parties.
a project that will provde annual cash flows of $2,950 for nine years costs $9,800 today. at a required return of 9 percent, what is the npv of the project? note: do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. at a required return of 27 percent, what is the npv of the project? note: a negative answer should be indicated by a minus sign. do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. at what discount rate would you be indifferent between accepting the project and rejecting it? note: do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.
Answers
At a required return of 9 percent, the Net Present Value of the project is $3,604.04. At a required return of 27 percent, the NPV of the project is -$2,765.87. The discount rate at which we would be indifferent between accepting and rejecting the project is approximately 13.38%.
The Net Present Value (NPV) of a project is the present value of its expected cash flows minus the initial investment. To calculate the NPV of this project, we need to discount the annual cash flows of $2,950 for nine years at the required return and subtract the initial cost of $9,800.
At a required return of 9 percent, the NPV of the project is:
NPV = -$9,800 + ($2,950 / 0.09) * (1 - (1 / (1 + 0.09)^9))
= $3,604.04
Rounded to two decimal places, the NPV of the project at a required return of 9 percent is $3,604.04.
At a required return of 27 percent, the NPV of the project is:
NPV = -$9,800 + ($2,950 / 0.27) * (1 - (1 / (1 + 0.27)^9))
= -$2,765.87
Rounded to two decimal places, the NPV of the project at a required return of 27 percent is -$2,765.87.
To determine the discount rate at which we would be indifferent between accepting and rejecting the project, we need to find the Internal Rate of Return (IRR) of the project. The IRR is the discount rate that makes the NPV of a project equal to zero.
In this case, we can use a financial calculator or spreadsheet software to solve the IRR. The IRR of this project is approximately 13.38%.
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The pi rule for an independent project is to ______ the project if the pi is greater than 1.
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The profitability index (PI) is a financial metric used to evaluate the potential profitability of an investment or project. It is calculated by dividing the present value of the project's cash inflows by the present value of its cash outflows.
If the PI is greater than 1, it means that the present value of the project's cash inflows is higher than the present value of its cash outflows. In other words, the project is expected to generate more cash inflows than it requires in investments. This indicates that the project is financially viable and has the potential to generate positive returns. Therefore, according to the pi rule, when the PI is greater than 1, it is recommended to proceed with the project as it is expected to be profitable.
The pi rule is based on the concept of evaluating the profitability of an investment or project. The PI provides a measure of the value created by the project per unit of investment. If the PI is greater than 1, it indicates that the project is expected to generate more value (cash inflows) than the amount of investment (cash outflows) required. To calculate the PI, you need to determine the present value of the cash inflows and the present value of the cash outflows. The present value is calculated by discounting the future cash flows using an appropriate discount rate. By comparing the present value of the cash inflows to the present value of the cash outflows, you can determine the profitability index.
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. Determine the monthly payments of principal and interest for a 20 year loan
e. Determine their total monthly payment, including homeowners' insurance and taxes
f. Determine whether the couple will qualify for the 20 year loan
g. Determine how much of the first payment on the loan is applies to the principal.
Answers
In order to determine the monthly payments of principal and interest for a 20-year loan, we can use the loan amount, interest rate, and loan term to calculate the amortized monthly payments.
e) By adding the monthly payments of principal and interest to the homeowners' insurance and property taxes, we can determine the total monthly payment.
f) By considering the couple's income, credit score, and debt-to-income ratio, we can evaluate whether they qualify for the 20-year loan.
g) With an amortization schedule and the loan details, we can determine the specific amount that applies to the principal in the first payment.
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Compute the compound interest. Binal Patel invested $6000 at 4% compounded semiannually. How much will be in the account in 10 vears? Round to the nearest cent.
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The amount in Binal Patel's account after 10 years, with a principal investment of $6000 at an annual interest rate of 4% compounded semiannually, can be calculated using the compound interest formula. The amount in the account after 10 years will be approximately $8,214.69.
How is the compound interest calculated?Compound interest is calculated using the formula:
A = P(1 + r/n)^(nt)
Where:
A = the final amount
P = the principal investment
r = the annual interest rate (expressed as a decimal)
n = the number of times interest is compounded per year
t = the number of years
In this case, Binal Patel invested $6000 at an annual interest rate of 4% (or 0.04) compounded semiannually. Since interest is compounded semiannually, n = 2. The investment is held for 10 years, so t = 10.
Using the formula, we can calculate:
A = 6000(1 + 0.04/2)^(2*10)
≈ 6000(1.02)^20
≈ 6000(1.485947)
≈ 8,914.68
Rounding to the nearest cent, the amount in the account after 10 years will be approximately $8,214.69.
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Select the correct answer.
Job opportunities for dietitians are expected to grow this decade.
A. True
B. False
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Firms seeking to compete on the basis of cost leadership particularly tend to focus on the:______
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Firms seeking to compete on the basis of cost leadership particularly tend to focus on the "efficiency and cost reduction" aspects of their operations.
When a firm adopts a cost leadership strategy, its primary objective is to become the lowest-cost producer or provider in the industry. To achieve this, the firm must focus on maximizing efficiency, minimizing expenses, and reducing costs throughout its operations. This includes streamlining processes, optimizing the supply chain, improving productivity, and implementing cost-saving measures at every level of the organization.
By emphasizing efficiency and cost reduction, firms can offer products or services at lower prices compared to their competitors, which can attract price-sensitive customers and potentially capture a larger market share. Cost leadership strategies often involve economies of scale, technological advancements, effective cost management, and negotiating favorable supplier contracts to drive down costs.
It is important to note that while cost leadership is a viable competitive strategy, it may not be suitable for all industries or business models. The success of a cost leadership strategy depends on factors such as market demand, economies of scale, pricing dynamics, and the ability to maintain a reasonable level of quality and customer satisfaction while achieving cost efficiencies.
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An agreement between countries to encourage free trade and promote thegroup's collective economic interests is an__
O A. comparative advantage
OB. trade bloc
O C. absolute advantage
D. trade barrier
Answers
Answer:
OB. trade bloc.
Explanation:
A trade bloc is when a group of countries come together and form or create an agreement that reduced or even eliminates any restrictions on trade between themselves. This type of intergovernmental agreement allows the participating countries to have cordial economic relationships with each other.
Through this type of agreement, the regional barriers to international trade are open or given fewer restrictions to allow or encourage free trade between themselves. Moreover, it also allows them to trade among themselves and prevent the non-members from participating in any economic trade with the member nations.
Thus, the correct answer is option B.
according to the nbes, the most often observed misconduct observed by employees was
Answers
To obtain the accurate and up-to-date information on the most often observed misconduct observed by employees according to the NBES, I recommend referring to the NBES's official reports, research articles, or publications.
These primary sources will provide comprehensive and reliable insights into the specific types of misconduct frequently observed in the workplace. The NBES conducts surveys to study various aspects of business ethics, including employee misconduct. The specific findings of these surveys can vary over time, as they reflect the prevailing ethical challenges and issues faced by organizations.
By accessing the NBES's official reports or publications, you will gain a better understanding of the most common types of misconduct observed by employees according to their research. This will allow you to obtain accurate and up-to-date information about the specific findings of the NBES on employee misconduct.
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Briefly explain the laws that apply to the promotion of this product/service.
Answers
Explanation:
Product promotion is the act of advertising a good or service with the goal of increasing sales. Many companies use different techniques to promote their products through a vast array of communication media.
eagle electronics must expand by building a second facility. the search has been narrowed down to locating the new facility in one of four cities: atlanta (a), baltimore (b), chicago (c), or dallas (d). the factors, scores, and weights follow: scores by site i factor weight (w i )a b c d 1 labor quality 20 5445 2 quality of life 16 2341 3 transportation 16 3432 4 proximity to markets 14 5344 5 proximity to suppliers 12 2334 6 taxes 12 2554 7 energy supplies 10 5433
Answers
The best site for Eagle Electronics is using factor rating method.
How to illustrate the information?The information given can be illustrated as:
Factor Factor Description Weight Score Weighted Score Score Weighted Score Score Weighted Score Score Weighted Score
a b a*b c a*C d a*d e a*e
1 Labor Quality 18 2 36 1 18 4 72 1 18
2 Quality of Life 18 2 36 3 54 4 72 1 18
3 Transportation 15 2 30 3 45 4 60 2 30
4 Proximity to Markets 16 1 16 2 32 4 64 3 48
5 Proximity to Suppliers 10 4 40 3 30 5 50 3 30
6 Taxes 12 1 12 2 24 4 48 2 24
7 Energy Supplies 10 2 20 4 40 5 50 3 30
Composite Weighted Rating (Total) 190
Based on the information, using factor rating method, the best site for Eagle Electronics; new facility is C with a total weighted score of 416.
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What type(s) of compensation may be included in a human resource compensation system?
A. Indirect financial compensation
B. Non-Financial Compensation
C. Financial Compensation
D. Financial and non-financial compensation
Answers
Question 2(Multiple Choice Worth 5 points)
(02.06 MC)
In general, what kind of people earn the most money?
O People with skills that are in high demand and high in supply
O People with skills that are in high demand but low in supply
O People with skills that are in low demand and low in supply
People with skills that are in low demand but high in supply
Answers
They earn the most money since skills also follow the law of supply and demand, so consumers are willing to pay more due to low supply
When you put a check you received in the bank, you have immediate access to the money.
True or False.
Answers
Answer:
this is true hope this helps
Explanation:
An analysis of favorable and unfavorable price variances would be an example of _______ analytics.Multiple Choicediagnosticpredictiveprescriptive
Answers
An analysis of favorable and unfavorable price variances would be an example of diagnostic analytics
Diagnostic analytics involves analyzing historical data to identify the root causes of past events, such as variances, to understand why they occurred. An analysis of favorable and unfavorable price variances would be an example of diagnostic analytics. This type of analysis involves comparing actual prices to expected prices to determine the causes of any differences.
Favorable price variances occur when actual prices are lower than expected, while unfavorable price variances occur when actual prices are higher than expected. By analyzing these variances, managers can identify the causes of the price differences, such as changes in market conditions or changes in the cost of raw materials.
Diagnostic analytics is useful for identifying areas where a company can improve performance and reduce costs. By understanding the root causes of variances and other historical events, managers can make informed decisions about how to improve operations in the future.
However, diagnostic analytics is limited in that it only provides insight into past events and does not predict future outcomes. To predict future events, predictive analytics and prescriptive analytics are used.
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When a company uses the perpetual inventory method, which of the following would be the entry to adjust inventory to lower cost or market?
A. Debit Purchases and credit Inventory.
B. Debit Cost of goods sold and credit Inventory.
C. Debit Inventory and credit Purchases.
D. Debit Inventory and credit Cost of goods sold.
Answers
The entry to adjust inventory to lower cost or market when a company uses the perpetual inventory method would be Debit Cost of goods sold and credit Inventory. Option B is correct.
The perpetual inventory method is a system of tracking inventory levels on an ongoing basis. In this method, the inventory account is adjusted after every purchase or sale. One of the adjustments that may be necessary is to adjust the inventory value to reflect a decline in the market value of the inventory or if the cost of goods sold is higher than the original cost of the inventory.
To make this adjustment, the company would debit the Cost of Goods Sold account, which represents the cost of the goods that were sold during the period, and credit the Inventory account, which reduces the recorded value of the inventory on the balance sheet.
This adjustment is necessary to ensure that the company's financial statements accurately reflect the value of the inventory on hand and the cost of goods sold during the period. Therefore, option B is correct.
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Which deduction generally makes up the largest portion of income subtracted from an employee?
A) taxes
B) unemployment
C) health benefits
D) 401K retirement
Answers
Answer:
it's taxes
EXPLANATION:
there are six steps to follow in conducting global market research. the first step is to:o a. develop the research design.b. define the research problem.000 c. determine information needs.d. collect the data (secondary and primary).e. analyze the data and interpret the results.
Answers
There are six steps to follow in conducting global market research. The first step is to define the research problem. The remaining steps are as follows:
Develop the research design. Determine information needs. Collect the data (secondary and primary).Analyze the data and interpret the results. The first step in conducting global market research is to define the research problem.
The remaining steps involve developing a research design, determining information needs, collecting data (secondary and primary), analyzing the data, and interpreting the results. The definition of the research problem should be broad and clear. This includes the definition of the purpose of the research and the overall goals of the project.
The research design should include all of the information needed to answer the research problem. This may include the specific research questions, the methods used to collect data, and the types of analysis used. The information needs of the research should be determined prior to conducting the research.
This includes identifying the types of data that will be collected, the sources of the data, and the methods used to collect the data. Data can be collected from secondary and primary sources. Secondary data is information that is already available, while primary data is collected specifically for the research project.
The data collected should be analyzed and interpreted. This includes analyzing the data to identify patterns, trends, and correlations. The results of the analysis should be interpreted to draw conclusions and make recommendations.
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I need help solving the following problems:
You purchased 500 shares of Visa, Inc. (stock symbol: V) last October 2021 at $231 per share. Since then, it paid a $50 per share dividend. You have just decided to sell all your shares at the current stock price (Check in any financial website for the current quote) and then calculate what was your percent and dollar return of your investment?
The Miami location of Chick-fil-A, Inc. had 2021 income statement listed net sales = $12.5 million and net income available to common stockholders = $3.2 million. The 2021 year-end balance sheet listed total assets of $52.5 million and common stockholders’ equity of $21 million with 2 million shares outstanding. Calculate the profit margin, ROA,and ROE
You borrow money from your grandma to invest in the market. You grandma agrees to give you $3,000 for 3 years without charging you any interest. You estimate that you can earn 8% per year during the next 3 years. How much money will you make after returning your grandma her loaned money?
Calculate the value of this bond: 5-year bond, with $1000 principal, a coupon rate 4.5% and discount rate 6%
Answers
To calculate the percent and dollar return of your investment in Visa, Inc.:
Determine the current stock price by checking a financial website.Calculate the total value of your investment by multiplying the current stock price by the number of shares you purchased (500 shares).Calculate the total dividend received by multiplying the dividend per share ($50) by the number of shares.Calculate the dollar return by subtracting the initial investment (500 shares * $231 per share) from the total value of your investment (current stock price * 500 shares) and adding the total dividend received.Calculate the percent return by dividing the dollar return by the initial investment and multiplying by 100.To calculate the profit margin, return on assets (ROA), and return on equity (ROE) for Chick-fil-A, Inc.:
Calculate the profit margin by dividing the net income available to common stockholders ($3.2 million) by the net sales ($12.5 million) and multiplying by 100.Calculate the ROA by dividing the net income available to common stockholders by the total assets ($52.5 million) and multiplying by 100.Calculate the ROE by dividing the net income available to common stockholders by the common stockholders' equity ($21 million) and multiplying by 100.To calculate the money made from borrowing $3,000 from your grandma:
Calculate the future value of the borrowed money after 3 years at an interest rate of 8% using compound interest formula: FV = PV * (1 + r)^n, where PV is the present value ($3,000), r is the interest rate (8% or 0.08), and n is the number of years (3).Subtract the initial borrowed amount ($3,000) from the future value to calculate the money made.To calculate the value of the bond:
Determine the annual coupon payment by multiplying the coupon rate (4.5% or 0.045) by the principal ($1000).Determine the present value of the bond by discounting the future cash flows (coupon payments and principal) at the discount rate (6% or 0.06) for each year of the bond's term (5 years).Sum up the present values of all the cash flows to calculate the value of the bond.To know more about investment refer to-
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What types of planning can be done to improve a nation’s economy?
A nation can undergo ____ planning or ___ planning in order to improve its economy.
Answers
Answer:
A nation can undergo long-term planning or constructive planning in order to improve its economy. Long-term planning involves setting goals and implementing policies that will have an impact over a period of several years. This type of planning may involve investments in education, infrastructure, and research and development, among other areas. Constructive planning involves implementing policies that encourage economic growth and development, such as reducing barriers to trade, promoting entrepreneurship and innovation, and investing in key industries. These types of planning can help a nation to create jobs, increase productivity, and improve living standards for its citizens. THANK YOUSelect the correct answer. what is currency appreciation? a. a decrease in the value of a country’s currency b. an increase in the use of a country’s currency c. a decrease in the use of a country’s currency d. an increase in the value of a country’s currency
Answers
Currency appreciation is an increase in the value of a country’s currency in relation to another currency. Option (d) is correct.
What do you mean by Appreciation?Recognizing and savoring something or someone's positive traits is known as appreciation.
An increase in the value of one currency in comparison to another is known as currency appreciation. For a variety of factors, including governmental policies, interest rates, trade balances, and business cycles, currencies appreciate against one another.
Inflation is typically lowered by currency appreciation because imports become more affordable and the reduced prices result in lower inflation. It reduces consumer interest in domestic goods and increases the appeal of imports. To stay competitive, local businesses typically need to reduce expenses and boost productivity.
Therefore, Option (d) is correct. An increase in the value of a country’s currency in relation to another currency is referred to as currency appreciation.
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FILL IN THE BLANK. Electrical forces ____.
(static electricity)
a. can cause objects to only attract each other
b. can cause objects to only repel each other
c. can cause objects to attract or repel each other
d. have no effect on objects
Answers
Electrical forces can cause objects to attract or repel each other.
Option C is correct.
Electrical forces are one of the fundamental forces of nature that govern the behavior of electrically charged particles, such as protons and electrons. These forces arise due to the interaction between the electrically charged particles and are responsible for the attraction or repulsion of particles.
The strength of the electrical force is determined by the magnitude of the charge on the particles and the distance between them. Like charges (i.e., positive-positive or negative-negative) repel each other, while opposite charges (i.e., positive-negative) attract each other. The magnitude of the force decreases as the distance between the particles increases.
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HELP!!
Which of these is defined by a general rise in the prices of goods and services
over a specific time?
A. Inflation
B. Recession
C. Disinflation
D. Stagnation
Answers
Answer:
A
Explanation:
Inflation is the rate of increase in price over the given time period. When the price of good, energy, fuel, commodities and other good and service rise it will affect the entire economy of any state.
As a factor of production, what is capital?
A. an industrial good
B. the natural resources used to create a product
C. the entrepreneur who sees how to make something useful
D. the tangible products made by labor
Answers
Answer:
Option "D" is the correct answer.
Explanation:
Labor produces tangible goods, which are referred to as capital. There are production-related man-made items such as machinery, vehicles, and chemicals. That is what sets them apart from commercial products.
what would be the best leadership strategy for a giver
Answers
Answer:
depends on the situation give me a strategy and ill give you why it would be the best
the use of money and credit controls to change the macroeconomy is
Answers
According to economic theory, using money and credit controls to change the macroeconomy is "Monetary Policy."
What is Monetary Policy?Monetary Policy is the policy or method by which government controls the amount of money in circulation in an economy.
Monetary policy can increase or reduce rue money in an economy.
The three primary tools of Monetary Policy are:Reserve requirementsDiscount rateOpen market operationsHence, in this case, it is concluded that the correct answer is Monetary Policy.
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3. Which of the following is a liability?
a) buildings
b) accounts receivable
c) loan from J. Henry
d) equipment
Answers
Answer:
buildings
Explanation:
Because if you own buildings you have to take care of them and you make sure you have them clean make sure nothing is wrong if a person complains find the problem and make it better and a loan will put you in a lot of debt to that person instead of making your own money.
Which of the following tasks would be completed by a radio announcer?
Answers
Answer:
D
Explanation:
Answer:
D
Explanation:
Took a test and got the same answer and turned out to be right.
Draiman corporation has bonds on the market with 20 years to maturity, a ytm of 11.3 percent, a par value of $1,000, and a current price of $935. the bonds make semiannual payments. what must the coupon rate be on the bonds?
Answers
This means that every six months, the bond will pay $28.25 in interest ($1,000 x 5.65% / 2).
To determine the coupon rate of the Draiman corporation bonds, we need to use the formula for calculating yield to maturity (YTM) and solve for the coupon rate.
The formula for YTM is: \(P = (C / r) x [1 - 1 / (1 + r)^n] + F / (1 + r)^n\)Where: P = market price of the bond C = periodic coupon payment r = periodic interest rate (YTM/2) n = number of periods (20 x 2 = 40) F = face value of the bond
We know that the market price of the bond is $935, the face value is $1,000, the number of periods is 40, and the YTM is 11.3 percent, or 0.113/2 = 0.0565. Plugging in these values into the formula, we can solve for the coupon payment: \($935 = (C / 0.0565) x [1 - 1 / (1 + 0.0565)^40] + $1,000 / (1 + 0.0565)^40\)Solving for C, we get a semiannual coupon rate of 5.65%.
The coupon rate is important because it determines the amount of interest payments the bondholder will receive, and it is used to calculate the bond's yield to maturity. In this case, the coupon rate is lower than the yield to maturity, which indicates that the bond is selling at a discount, or below its face value.
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