A bond with 3years maturity and face value of $1000 has a coupon rate of 5%. The yield to maturity is YTM 10%. The cash flows are Year 1 = 50, Year 2 = 50, Year 3 = 1050. Calculate the duration of the bond?
Answers
To calculate the duration of a bond, we need to calculate the weighted average of the present values of its cash flows, with the weights being the proportion of the present value of each cash flow to the bond's total present value.The duration of the bond is approximately 2.818 years.
Maturity: 3 years
Face value: $1000
Coupon rate: 5%
Yield to maturity (YTM): 10%
Cash flows: Year 1 = $50, Year 2 = $50, Year 3 = $1050
Step 1: Calculate the present value of each cash flow using the YTM:
PV1 = $50 / (1 + 0.10)^1 = $45.45
PV2 = $50 / (1 + 0.10)^2 = $41.32
PV3 = $1050 / (1 + 0.10)^3 = $826.45
Step 2: Calculate the total present value of the bond:
Total PV = PV1 + PV2 + PV3 = $45.45 + $41.32 + $826.45 = $913.22
Step 3: Calculate the weights of each cash flow:
Weight1 = PV1 / Total PV = $45.45 / $913.22 ≈ 0.0498
Weight2 = PV2 / Total PV = $41.32 / $913.22 ≈ 0.0453
Weight3 = PV3 / Total PV = $826.45 / $913.22 ≈ 0.9049
Step 4: Calculate the duration:
Duration = (Weight1 × Time1) + (Weight2 × Time2) + (Weight3 × Time3)
Duration = (0.0498 × 1) + (0.0453 × 2) + (0.9049 × 3)
Duration ≈ 2.818
Therefore, the duration of the bond is approximately 2.818 years.
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Related Questions
5. The price of a laptop computer dropped from $1,800 to $1,200. What was the percent of
decrease?
a. 30%
b. 1/3
c. 33.33%
d. 333
Answers
Answer:
c. 33.33%
Explanation:
The original price was $1,800
The price dropped to $1,200
the drop in price was $1,800 - $1200 = $600
The percentage drop will be $600/$1800 x 100
=0.33333 x 100
=33.33%
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customers.
Select the correct answer from the drop-down menu.
A furniture store has uploaded pictures of its products to advertise them on its social networking page. What is the purpose of this post?
The purpose of this post is to
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Answers
The purpose of the post by the furniture store which uploaded pictures of its products to advertise them on its social networking page is to advertise their products.
Why do companies upload product photos to social media?The reasons why a company such as the furniture store would upload the photos of its products to their social media page is to advertise them.
Social media has access to a lot of people and so when the furniture store uploads pictures, it leads to more people learning about their products.
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Answer:
The answer is Persuade I got it right on the test.
Which is an appropriate strategy for products at the decline stage of the product cycle?
Answers
Cost leadership approach. Streamline operations, reduce costs, and offer competitive prices in declining market.
What factors should be considered when determining the pricing strategy for a product?An appropriate strategy for products at the decline stage of the product cycle is to adopt a cost leadership approach.
This means focusing on reducing costs and streamlining operations to maintain profitability in the declining market.
Companies can achieve this by optimizing their production processes, implementing cost-saving measures, and reducing overhead expenses.
By offering competitive prices, companies can attract price-sensitive customers and maintain their market share despite declining demand.
Additionally, companies may consider diversifying their product offerings or targeting niche markets to extend the product's life cycle and generate additional revenue streams.
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As the technology manager for your firm, you have been tasked with identifying options for cloud-based software and hardware that will be hosted by an external vendor. In addition, the firm wants control over the operating system, underlying applications, and some of the software packages. Based on these specifications, you will be evaluating _____.
Answers
Based on making specifications, on identifying options for cloud-based software and hardware, you will be evaluating Cloud computing.
What is Cloud computing?Cloud computing serves as the process involving delivering of hosted services over the internet.
Therefore, Cloud computing involves making different services through the Internets, such as data storage.
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The practice of dividing the money a person invests between several different types of investments in order to lower risk is called
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Answer: The practice of dividing the money a person invests between several different types of investment in the order of lower risk is called Diversification.
Diversification is based on the principle that Risk and return are directly proportional to each other.
Hence say Stock A gives a Greater return then it will also have a greater risk.
Therefore to Hedge the Businessmen from constantly changing market conditions and to guarantee a nearly fixed return Diversification is used.
In diversification, investment is done in combination with high and low-risk stocks as per the risk-taking capabilities of the investor.
The investor who is a Risk Taker invests a High Amount in High-risk stocks and similarly the investor who is Risk Averse invest a high Amount in Low-Risk Stock.
Diversification helps the investor to maintain his return and risk
according to his plans.
Explanation: Diversification is based on the principle that Risk and return are directly proportional to each other.
Hence say Stock A gives a Greater return then it will also have a greater risk.
Therefore to Hedge the Businessmen from constantly changing market conditions and to guarantee a nearly fixed return Diversification is used.
In diversification, investment is done in combination with high and low-risk stocks as per the risk-taking capabilities of the investor.
The investor who is a Risk Taker invests a High Amount in High-risk stocks and similarly the investor who is Risk Averse invest a high Amount in Low-Risk Stock.
Diversification helps the investor to maintain his return and risk
according to his plans.
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When a partner is added to a partnership: a. The previous partnership ends. b. The underlying business operations end. c. The underlying business operations must close and then re-open. d. The partnership must continue. e. The partnership equity always increases.
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When a partner is added to a partnership the partnership must continue
What is partnership?A partnership is formed by individual who volunteers to work together in a business or association. They have an agreement about who contributes assets or services.
Partnership can either increase equity or decrease equity of an individual this is based on the contribution of the person to the business.
Therefore, When a partner is added to a partnership the partnership must continue
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Business executive and current international fugitive Carlos Ghosn was, at the time of his initial arrest in November 2018, chairman of an alliance among three automakers (as well as chairman of each individual company). Mitsubishi was one of the three. Name both of the other two?
Answers
The two other automakers that were part of the alliance that Carlos Ghosn chaired at the time of his arrest were Nissan and Renault. Ghosn's leadership of the alliance, which was formed in 1999, was considered a model for cross-border cooperation and cost-saving measures in the automotive industry. However, his arrest in Japan on charges of financial misconduct and his subsequent escape to Lebanon have caused turmoil within the alliance and raised questions about its future.
Ghosn, who has denied the charges against him, has accused Nissan and Japanese prosecutors of conspiring against him in order to prevent a merger between Nissan and Renault, which he had long championed. The fallout from his arrest has also highlighted tensions between the Japanese and French sides of the alliance, as well as concerns about the future of Mitsubishi, which has struggled in recent years.
Despite these challenges, the alliance remains one of the largest and most powerful in the automotive industry, with a combined annual revenue of over $190 billion and operations in more than 190 countries. The ongoing drama surrounding Ghosn's case underscores the high stakes involved in international business and the complex relationships that can develop between companies and their leaders.
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How long should a cover letter be? A. Less than one page B. Two pages C. Three pages D. More than four pages Please select the best answer from the choices provided A B C D
Answers
Answer: A. Less than one page
Explanation:
Angeline manages a store that sells cell phones. Each Thumper takes 6 hours to create the plastic pieces, 2 hours to create the electronics, and 22 hours of labor to assemble the final product. Each XL2000 requires 3 hours to create the plastic pieces, 4 hours to create the electronics, and 12 hours of labor to assemble the final product. The factory has 570 hours to create the plastic pieces, 600 hours to create the electronics, and 2120 hours of labor to assemble the final product each week. If each Thumper generates $13 in profit, and each XL2000 generates $19, how many of each of the cell phones should Angeline have the store sell each week to maximize profit?
Answers
To maximize the profit of a store that sells cell phones, Angeline needs to determine the number of Thumper phones and XL2000 phones to sell per week. Angeline should sell 50 Thumper phones and 140 XL2000 phones each week to maximize profit
The following is how Angeline can calculate the number of phones to sell:
Step 1: Determine the number of hours needed for each phone production: Thumper: 6 hours (plastic) + 2 hours (electronics) + 22 hours (assembly) = 30 hours
XL2000: 3 hours (plastic) + 4 hours (electronics) + 12 hours (assembly) = 19 hours
Step 2: Calculate the total number of phones each week that the factory can produce: Thumper: (570 plastic hours) / (6 hours per Thumper) = 95 Thumpers per week
XL2000: (570 plastic hours) / (3 hours per XL2000) = 190 XL2000s per week
The factory can create 190 XL2000s per week with 570 plastic hours.
Step 3: Find the maximum number of hours that the factory can spend on electronics, Thumper: (600 electronics hours) / (2 hours per Thumper) = 300 Thumpers per week
XL2000: (600 electronics hours) / (4 hours per XL2000) = 150 XL2000s per week
The factory can produce 300 Thumpers per week with 600 electronics hours.
Step 4: Determine the maximum number of hours that the factory can spend on phone assembly, Thumper: (2120 hours of assembly) / (22 hours per Thumper) = 96 Thumpers per week
XL2000: (2120 hours of assembly) / (12 hours per XL2000) = 176 XL2000s per week
The factory can produce 176 XL2000s per week with 2120 hours of labor.
Step 5: Calculate the profit from selling each phone, Thumper: $13 profit per phone
XL2000: $19 profit per phone
Step 6: Use linear equations to find the optimal number of phones to sell
Let T represent the number of Thumper phones sold each week and X represent the number of XL2000 phones sold each week, then the objective function would be:
Profit = 13T + 19X
The constraints are: T ≤ 95, X ≤ 190, 2T + 4X ≤ 600, 22T + 12X ≤ 2120.
Step 7: The maximum profit occurs at the intersection of two lines. Let us begin with the first constraint. Since T cannot exceed 95 and X cannot exceed 190, the graph is drawn between these two numbers, which creates a square.
The two lines, 2T + 4X = 600 and 22T + 12X = 2120, must now be plotted. The point of intersection between these two lines is (50, 140). This point is within the range of values for T and X and represents the optimal solution to the problem.
Therefore, Angeline should sell 50 Thumper phones and 140 XL2000 phones each week to maximize profit.
Profit = $13(50) + $19(140) = $3,570.
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On September 30, 2021, the San Fillipo Corporation issued 8% stated rate bonds with a face amount of $300 million. The bonds mature on September 30, 2041 (20 years). The market rate of interest for similar bonds was 10%. Interest is paid semiannually on March 31 and September 30. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided. ) Required: Determine the price of the bonds on September 30, 2021. (Enter your answers in whole dollars. Round your final answers to nearest whole dollar amount. )
Answers
The price of the bonds is determined using the Present Value of a 20-year annuity formula with an 8% interest rate is $278,743,846.
The price of the bonds is determined using the Present Value of a 20-year annuity formula with an 8% interest rate. The calculation is: Price = $300,000,000 × [PVIFA 20%, 8%] = $300,000,000 × 0.7547 = $278,743,846.
The Present Value Interest Factor of Annuity (PVIFA) is used to calculate the present value of a series of payments over a certain period of time. In this case, the PVIFA is 20 years and the interest rate is 8%, which is the stated interest rate of the bond.
Therefore, the price of the bonds on September 30, 2021 is $278,743,846.
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Which of the following factors assist employers in determining employee pay rates? (You may select more than one answer. Single click the box with the question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box for a wrong answer. Any boxes left with a question mark will be automatically graded as incorrect.)check all that applyEmployee ageIndustry benchmarksEmployee skillCompany location
Answers
Employee skill, industry benchmarks and company location are all factors that can assist employers in determining employee pay rates.
Employee skill is a key factor in determining pay rates as an employer will generally pay a higher rate to someone who has more experience or specialized knowledge in a certain field.
Industry benchmarks can also play a role in determining pay rates as employers will often look at what other companies in their industry are paying their employees to ensure they remain competitive.
Company location can also be a factor as the cost of living and the local job market can affect the amount an employer is willing to pay.
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Which two renewable technologies do not rely on energy from the sun?.
Answers
Answer:
GEOTHERMAL AND TIDAL ENERGY
Explanation:
What are Pre-Tax Deductions and Contributions?
a) Contributions taken out of your paycheck BEFORE taxes are calculated on your income
b) Contributions taken out of your paycheck AFTER taxes are calculated on your income
Answers
10. What influences consumer purchasing behaviors? (5 points)
Answers
Answer:
trends, the buyers personality, and other peoples influence
Explanation:
Your job is to cold call people and sell
them life insurance. You do some
research and find out that the life
insurance policy could be purchased
cheaper online. Your boss forbids you
to tell the customer this and expects
you to sign up at least 5 new
customers per day.
What will you do?
Answers
I believe I would be cheating customers if I don't do right by them. I would prefer to look for a new job than do something that is ethically wrong and against my morals.
As an employee, I would first try to figure out a way to do right by the customers and reduce the insurance fee. I would try to explain to my boss how we could benefit and increase our customer base if we reduce the fees.
If I fail at getting the price change. I would try looking for a new job that fits well with my morals. Till the time I get a new job, I would try working the same job and explaining to the boss.
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2 Which of the following is true of human resource planning? The number of employees in the workforce is often responsible for organizational performance OHR planning activity can be assessed by whether the organization has the people it needs. HR planning makes a company look good, but it usually increases company expenses in the process. Although human resources investment is important. It is not as important as the acquisition of equipment or materials
Answers
Answer:
HR planning activity can be assessed by whether the organization has the people it needs.
Explanation:
Human resources management (HRM) can be defined as an art of managing, controlling and improving the number of people (employees or workers), functions, activities which are being used effectively and efficiently by an organization.
Generally, human resources managers are saddled with the responsibility of recruiting, managing and improving the welfare and working conditions of the employees working in an organization.
Human resource planning is a subfield of human resource management.
Hence, the true statement about human resource planning is that, human resources (HR) planning activity can be assessed by whether the organization has the people it needs.
which of the following foreign exchange trading centers has the highest percentage of activity?
Answers
The London market is currently the forex trading center with the highest percentage of activity.
Foreign exchange trading centers operate in different time zones, which means that their activity levels vary depending on the time of day. However, according to recent surveys and reports, the foreign exchange trading center with the highest percentage of activity is the London market. It is estimated that the London market accounts for over 30% of all forex trading volume worldwide, followed closely by the New York market with approximately 20% of the total trading volume. Other significant forex trading centers include Tokyo, Singapore, and Hong Kong.
It is worth noting that the forex market is highly decentralized, and traders can access it from anywhere in the world, contributing to the high levels of liquidity and activity in the market. In conclusion, the London market is currently the forex trading center with the highest percentage of activity. London is the largest foreign exchange trading center in the world.
This is due to its strategic location, diverse market participants, and well-established financial infrastructure. London accounts for approximately 43% of the global forex trading volume, making it the top choice for traders and investors.
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Arantxa corporation has outstanding 20,000 shares of $5 par value common stock. on august 1, 2014, arantxa reacquired 200 shares at $80 per share.
Answers
The journal entries to record these transactions of Arantxa corporation using the cost method are given below.
How do you define journal entries?The journal entry can encompass numerous recordings, every of that's both a debit or a credit. The act of maintaining or making statistics of any transactions both financial or non-financial is referred to as journal entries.
The missing information in the question can be given below:
On November 1, Arantxa reissued the 200 shares at $70 per share. Arantxa had no previous treasury stock transactions. Prepare Arantxa's journal entries to record these transactions using the cost method.
As per the given information,
The journal entries for the given information are as follows:
Treasury A/c Dr. $16,000
To Cash $16,000
Cash $14000
Retained Earnings $2,000
To Treasury stock $16,000
Hence, the journal entries recording the given transaction relating to treasury stock are explained above.
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The journal entry for the shares reacquisition on August 1, 2014, of Arantxa Corporation is as follows:
Journal Entry:August 1, 2014:
Debit Treasury Stock $1,000
Debit Additional Paid-in Capital - Common Stock $15,000
Credit Cash $16,000
To record the re-acquisition of shares at $80 per share.Transaction Analysis:August 1, 2014:
Treasury Stock $1,000 Additional Paid-in Capital - Common Stock $15,000 Cash $16,000 ($80 x 200)
Question Completion:Show the journal entries for the given information above.
Thus, the journal entry above shows that the shares were reacquired at a premium of $75 ($80 - $5) per share.
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María, age 32, earns $60,000 working in 2022. She has no other income. Her medical expenses for the year total $6,000. During the year, she suffers a casualty loss of $9,500 when her apartment is damaged by flood waters (part of a Federally declared disaster area). María contributes $6,000 to her church and pays $4,000 of state income taxes. On the advice of her friend, Maria is trying to decide whether to contribute $5,000 to a traditional IRA. Complete the table to show the effect the IRA contribution would have on Maria's itemized deductions.
Answers
Her taxable income would be reduced by the $5,000 IRA contribution if she decides to make it, resulting in a lower tax liability.
Itemized Deductions Without IRA Contribution With IRA Contribution
Medical Expenses $6,000 $6,000
Casualty Loss $9,500 $9,500
Charitable Donations $6,000 $6,000
State Income Taxes $4,000 $4,000
Total $25,500 $25,500
Maria's IRA contribution would not affect her itemized deductions because IRA contributions are not deductible on Schedule A.
Instead, they are deducted from her taxable income on the front page of her tax return. Therefore, her taxable income would be reduced by the $5,000 IRA contribution if she decides to make it, resulting in a lower tax liability.
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Marketing is an activity that creates value for customers, clients, partners, and society at large. A firm does this by ______. (Select three answers) Multiple select question. creating offerings expanding markets delivering offerings segmenting offerings communicating offerings selecting markets
Answers
Marketing is an activity that creates value for the people. The firm does this by:
communicating offeringsdelivering offeringscreating offeringsWhat is marketing?This can simply be describe as those sets of activities that people or firms engage in order to promote the buying and the selling of products and services.
The activities includes
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When making decisions, managers often must decide between doing what is beneficial for the firm in the short term, and what is beneficial for both the firm and society in the long term. To address this conflict, a firm must
Answers
When making decisions, managers are often faced with a conflict between what is beneficial for the firm in the short-term and what is beneficial for both the firm and society in the long-term.
This conflict arises because the actions that benefit the firm in the short-term may not necessarily align with the interests of society as a whole, which can lead to negative consequences for both the company and society in the long-term.
To address this conflict, a firm must adopt a long-term orientation and consider the broader social and environmental impacts of its decisions. This means looking beyond immediate financial gains and recognizing that actions taken today can have far-reaching implications for the company's reputation, customer loyalty, employee morale, and overall sustainability.
Firms that prioritize social responsibility and sustainable business practices are more likely to build strong relationships with stakeholders, including customers, employees, investors, and regulators. They are also better equipped to weather economic downturns and other disruptions, as they have diversified their risk and invested in building resilient supply chains and communities.
Ultimately, the key to addressing the conflict between short-term gains and long-term benefits is a commitment to corporate social responsibility (CSR) and sustainable business practices. By prioritizing the needs of society and the environment alongside those of shareholders, firms can create value for all stakeholders over the long-term, ensuring their continued success and impact.
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What ethical dilemmas do you think professionals in the marketing and advertising industry face? Explain.
Answers
Answer:
knowing how to play on emotions but also not make people feel like terrible human beings?
Explanation:
If an operations manager wishes to help workers understand the movement of material, information, or people throughout a process, what tool should he or she use?.
Answers
The Operations managers are in charge of all levels of an organization's operational activities. Their duties include hiring and training employees and managing quality assurance programs. Finance, customers, internal manager, and learning and innovation are the four fundamental focus dimensions that the guide every organization.
The goal of operations management is to help maximize efficiency within an organization, increase the organization's productivity, increase profits while reducing costs, and ensure the production and delivery of high-quality goods or services that satisfy customers' needs. These theoretical divisions of operations managers are based on the research of Robert S. Kaplan and David P.
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Advocates of floating rates pointed out that Group of answer choices removal of the obligation to peg currency values would restore monetary control to central banks. imposing of the obligation to peg currency values would restore fiscal control. imposing of the obligation to peg currency values would restore monetary control to central banks. imposing of the obligation to peg currency would restore monetary control to the consumer. removing of the obligation to peg currency values would restore fiscal control.
Answers
Answer:
removal of the obligation to peg currency values would restore monetary control to central banks.
Explanation:
The Federal Reserve (Fed) and Central banks (lender of last resort) are readily accessible and available to give monetary funds to depository financial institutions when they're running out of money and as well as regulate their activities.
Generally, monetary policy affects the money supply in an economy, which then creates an impact on interest rates and the inflation rate.
Hence, advocates of floating rates pointed out that removal of the obligation to peg currency (setting specific fixed exchange rate) values would restore monetary control to central banks.
Which kind of protection does homeowners insurance offer? Check all that apply.
A. It protects a car against theft in the parking lot.
B. It covers damages to a home.
C. It protects a home against theft.
D. It protects against accidents or injuries.
E. It covers property lost outside of the home.
Answers
Answer:
2,3,4,5
Explanation:
Homeowner's insurance keeps the owner safe from house damages, theft, accidents or injuries or mishap, etc
What do you understand by homeowners insurance offer?
Property holder's insurance contracts frequently cover the inside and beyond a home, as well as the misfortune or robbery of individual possessions and individual risk for harm to other people.
The home insurance cover:
The actual cost of the house, replacement cost, and extended replacement cost/value. The feature of home insurance are:
It covers house damages It protects against theftagainst accidents or injuries or mishapproperty lost inside and beyond/outside the houseTherefore options B, C, D, and E aptly describe the homeowner's insurance.
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true or false? the fewer the number of products or brands, the greater the likelihood the wholesaler is the channel commander.
Answers
False. The statement is not necessarily true. The likelihood of a wholesaler being the channel commander is not solely determined by the number of products or brands. The channel commander refers to the entity that has the most control or influence over the distribution channel. While a wholesaler can be a channel commander in certain situations, it depends on various factors such as market dynamics, relationships between channel members, competitive landscape, and overall industry structure.
The number of products or brands alone does not determine the channel commander. Other factors, such as the bargaining power, market share, and strategic positioning of different channel members, can play a significant role in determining who takes on the role of the channel commander. In some cases, manufacturers or retailers may hold more power and influence in the distribution channel, even if there are fewer products or brands involved. Ultimately, the channel commander position is determined by the dynamics and power relationships within the specific industry and market context.
The idea that firms will get the most for their money when they pay wages higher than the equilibrium wage is called:
Answers
The idea that firms will get the most for their money when they pay wages higher than the equilibrium wage is called optimal-wage theory.
What is optimal-wage theory?Optimal efficiency wage is one that that do occur when marginal cost of an increase in wages can be attributed to the marginal benefit associated to productivity.
Hence, idea that firms will get the most for their money when they pay wages higher than the equilibrium wage is called optimal-wage theory.
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suppose that the current equilibrium price of gasoline is $4.50 per gallon and that the government passes a law that requires the price to be no more than $4 per gallon. what will be the effects?
Answers
There will be less supply and more demand resulting in excess demand
which will lead to black marketing
The equilibrium price may be calculated using a mathematical formula. The quantity demanded (Qd) must equal the quantity supplied (Qs) in order to determine the price according to the equilibrium pricing formula (P) . A fundamental premise of economics is that when there is a surplus of a good or service relative to the demand, prices will decrease. When supply is inadequate to meet demand, prices often rise. The relationship between supply and prices of goods and services is inverse when demand is constant.
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Suppose the value of all the stocks in a fund's portfolio is currently $500,000. The fund has $450,000 in liabilities and has sold 2,500 shares of its fund to investors. Find the NAV.
Answers
Answer:
Well your currency will come up due to the investors only if it is a great good market platform The liabilities you must take time to pay them back it might cause interest and money building vlaues or taxes or possibly jail time
Explanation: I really hope i helped
If he fund has $450,000 in liabilities and has sold 2,500 shares of its fund to investors. The NAV is $20.
Net asset valueUsing this formula
NAV = (Assets - Liabilities) / Total number of outstanding shares
Let plug in the formula
NAV=($500,000-$450,000)/2500 shares
NAV=$50,000/2500 shares
NAV=$20
Therefore the net asset value is $20.
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Which of the following are types of evidence that can be used to support a
controlling idea? *
facts (statements that can be proved true)
statistics (data that is gained from research)
examples (specific instances of a general idea)
anecdotes (brief stories that illustrate a point)
all of the above
Answers
Answer:
all of the above
Explanation:
The controlling idea is the text that grabs the reader's attention in a paragraph or headline. It arouses curiosity in the audiences. The controlling idea makes people eager and anxious for details. In support of the controlling idea, the writer uses evidence to paint a clear picture of the events or story.
Some of the evidence that a writer can use include
Verifiable facts and dataReal-life stories and experiencesResearch outcomesFactual information in the public domain