The bond yield of the company to utilize as the required return is 5.78%.
What is bond yield?Bond yield refers to the rate of return an investor receives from holding a particular bond until its maturity date. It is the percentage of the bond's face value that is paid out as interest over the life of the bond. Bond yields are determined by a variety of factors, including prevailing interest rates in the economy, creditworthiness of the bond issuer, and the term of the bond. There are two types of bond yields: current yield and yield to maturity. Current yield is calculated by dividing annual interest payment by current market price of the bond. Yield to maturity, on the other hand, takes into account the bond's price and interest payments over the entire life of the bond until maturity. Investors use bond yields to assess the potential return and risk of investing in bonds, and to compare the returns of different bonds.
YTM = (C + (F-P)/n)/((F+P)/2)
YTM = ($50 + ($1,000 - $950)/10) / (($1,000 + $950)/2)
YTM = 5.78%
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Define stakeholders and briefly explain how they can influence
business into success
Stakeholders refer to people or entities that have an interest or involvement in a company's success. They can influence a company's success in several ways, such as through investments, partnerships, and consumer loyalty.
Stakeholders can be of various types, including shareholders, employees, suppliers, customers, and government bodies. They all have different priorities and interests, which means that they can exert different levels of influence on a company's success. Shareholders, for example, have a significant influence on a company's success as they own a portion of the company and can make decisions regarding company operations. Similarly, employees can influence the company's success by their dedication, productivity, and morale levels, which ultimately impact the company's performance in the market.
Suppliers can also have an impact on a company's success by providing quality goods or services, timely deliveries, and cost-effective prices. Customers are another essential stakeholder as their loyalty can determine a company's success or failure. If customers are satisfied with a company's products or services, they are more likely to remain loyal and recommend it to others.On the other hand, government bodies can regulate a company's operations, impacting its financial stability and reputation. Therefore, companies must consider the interests of all stakeholders and maintain a balance to achieve success in the market.
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Are-Us is an auto parts supplier launched in 2013. Annual sales have increased by a factor of 10 over the last 5 years.
After reviewing inventory levels, the president of the company finds that system wide inventories have also increased by a factor of 6 over that period. The president views this as a signal that the company has been managing its inventories well.
Do you agree? Why or why not? Assume that the company uses an Economic Order Quantity to place orders and has no lead time or safety stock. Also assume that the setup cost and holding cost have not changed over this period – in other words, all that has changed is demand.
I do not agree with the president views as the inventory management of the company cannot be deemed satisfactory based solely on inventory levels.
As the annual sales have increased by a factor of 10 over the last five years, and the system-wide inventories have also increased by a factor of 6 over that period, the president of the company believes that the company has managed its inventories well. However, it is uncertain if the President's analysis of inventory management is accurate or not because the changes in demand were not factored in and all other factors remained constant.
The Economic Order Quantity (EOQ) is the optimum amount of inventory to be ordered by the company to reduce total costs. The EOQ method can be used to compute the optimum number of units to order when sales demand fluctuates, and the setup and carrying expenses are constant.
EOQ formula is given by:
EOQ= √(2DS/H)
where D = annual demand, S = cost of placing an order, H = cost of holding one unit of inventory
Since there is no change in the setup cost and holding cost over this period and the company uses the EOQ method to place orders, it is reasonable to assume that the EOQ remains constant over this period. Now let's calculate the annual order quantity of the company using the EOQ formula:
EOQ= √(2DS/H) = √(2 × 2013 × 10/H) = √(40260/H)
The annual order quantity is inversely proportional to the holding cost H, which means that if the holding cost H increases, the annual order quantity will decrease, and vice versa.
Thus, the increase in the company's annual sales demand will result in an increase in the EOQ of the company, leading to an increase in the inventory level.
Hence, the inventory management of the company cannot be deemed satisfactory based solely on inventory levels. Thus, we cannot agree with the president of the company's view.
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Looking at the Treasury yield curve you see that the two-year Treasury bond is selling at an interest rate of 3.84 percent and the three-year Treasury bond sells at a rate of 3.97 percent. What is the implied one-year interest rate two years from now? (Enter the answer as a percentage accurate to two decimal places. Just enter a number - do not add a % symbol or any other punctuation.)
Answer : The implied one-year interest rate two years from now is -1.31 percent.
Looking at the Treasury yield curve you see that the two-year Treasury bond is selling at an interest rate of 3.84 percent and the three-year Treasury bond sells at a rate of 3.97 percent. Two-year and three-year Treasury bonds with interest rates of 3.84 percent and 3.97 percent, respectively, are used in this problem.
The implied one-year interest rate two years from now can be calculated using the equation that relates the two rates. The equation is as follows : One plus the yield on a two-year bond equals (one plus the yield on a one-year bond) multiplied by (one plus the implied yield on a one-year bond two years from now). (1 + r2)^2 = (1 + r1) * (1 + r1 2 )The formula is algebraically rearranged and simplified as follows : r1 2 = [(1 + r2) / (1 + r1)] - 1.
Plugging in the appropriate values, the implied one-year interest rate two years from now is: r1 2 = [(1 + 0.0384) / (1 + 0.0397)] - 1r1 2 = - 0.01306, or -1.31 percent. Therefore, the implied one-year interest rate two years from now is -1.31 percent.
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the production possibilities frontier shifts inward if: group of answer choices technology improves. the capital stock increases. either unemployment increases or resources are destroyed. unemployment increases. resources are destroyed.
The production possibilities frontier shifts inward if either unemployment increases or resources are destroyed. The correct option is C.
The production possibilities frontier (PPF) is a visual depiction of the potential outcomes of two items that an economy can manufacture with a fixed amount of resources. It shows the optimum mix of two goods that an economy can generate, provided that all other variables are consistent. The PPF is a graphical representation of the economy's opportunity costs. The economy's capacity to manufacture goods is limited by its resource availability.
Hence, the economy must choose the most efficient and optimal approach to use those resources to generate goods. The inward shift of the production possibilities frontier means the economy's capacity to manufacture products is declining.
Factors that can cause this shift include a reduction in the workforce, a reduction in resources, natural disasters, and inadequate technical expertise, among others. In the current question, either increasing unemployment or destroying resources could cause the PPF to shift inwards. Hence, the correct answer is option C.
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Peter is on his way to class and doesn't really enjoy it very much and would rather go out to lunch with his friends; however, Peter goes to class anyway. If the purpose of life is to get as much utility as possible in life given our scarce resources, then how can we explain Peter's decision to go to class from an economic perspective?
Peter is forgoing the hedonic-type utility he could get right now and investing in human capital enhancing activities (getting an education) because it will have a bigger eudemonic-type utility payoff in the future.
Economically speaking, Peter is being irrational; to get the most utility he should go to lunch with his friends.
The elephant part of Peter's brain is more powerful than the rider part of his brain, so this explains why he has the economic drive to go to class rather than have lunch with his friends.
The "Be Proactive" habit has a central focus of:
Self-Paradigm: Response Ability
Physical Creation: Traveling the Path
Mental Creation: Destination and Path Planning
In terms of a rewarding career, the _______ hypothesis requires the existence of pre-existing passion while the _______ hypothesis posits that passion evolves over time with mastery.
Craftsman, Passion
Passion, Craftsman
Actualization, Craftsman
Passion, Actualization
From an economic perspective, Peter's decision to go to class can be explained through the concept of opportunity cost. Opportunity cost is the value of the next best alternative that is given up when a choice is made. In this case, Peter is giving up the immediate utility of going to lunch with his friends in order to invest in his human capital by going to class.
In terms of the "Be Proactive" habit, the central focus is on self-paradigm and response ability. This means that an individual should take responsibility for their own actions and choices, rather than blaming external factors or circumstances.
Finally, in terms of a rewarding career, the Passion hypothesis requires the existence of pre-existing passion while the Craftsman hypothesis posits that passion evolves over time with mastery. This means that the Passion hypothesis suggests that an individual should pursue a career that they are already passionate about, while the Craftsman hypothesis suggests that passion will develop as an individual becomes more skilled and knowledgeable in their chosen field.
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The Lunch Counter is expanding and expects operating cash flows of $49,500 a year for nine years as a result. This expansion requires $36,500 In new fixed assets. These assets will be worthless at the end of the project. In addition, the project requires $2. 200 of net working capital throughout the life of the project. What is the net present value of this expansion project at a required rate of return of 15. 6 percent?
A. $194. 736. 05
B. $201. 33. 33
C. $192. 536. 05
D. $188. 569. 91
E. $19,313,281
The correct answer is $192. 536. 05. We must use the following formula to discount the anticipated cash flows by the 15.6% needed rate of return in order to determine the project's net present value (NPV).
NPV = (CF0 + CF1 / (1+r) + CF2 / (1+r)^2 + ... + CFn / (1+r)^n) - Initial Investment
Where r is the needed rate of return, CF1 through CF9 are the anticipated operating cash flows, and CF0 represents the initial investment.
CF0 = -36,500 - 2,200 = -38,700
CF1 to CF9 = 49,500
NPV = (-38,700 + 49,500 / (1+0.156) + 49,500 / (1+0.156)^2 + ... + 49,500 / (1+0.156)^9)
Using a spreadsheet or financial calculator, we determine that option C's NPV is $192,536.05. The expansion project should be approved because it has a positive NPV.
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overhead is underapplied if . multiple choice question. adjusted cost of goods sold is less than unadjusted cost of goods sold cost of goods manufactured is less than cost of goods sold actual overhead is more than applied overhead actual overhead is less than applied overhead
The correct answer to this question is actual overhead is more than applied overhead.
When overhead is underapplied, it means that the actual amount of overhead costs incurred during a period is greater than the amount of overhead that was applied to the products or services during that same period. This can occur when there are unexpected increases in the cost of overhead items, such as utilities, rent, or supplies. When this happens, the cost of goods sold will be understated, which can lead to an overstatement of gross profit and net income.
In contrast, when overhead is overapplied, it means that the actual amount of overhead costs incurred during a period is less than the amount of overhead that was applied to the products or services during that same period. This can occur when there are unexpected decreases in the cost of overhead items, or when production is more efficient than expected. When this happens, the cost of goods sold will be overstated, which can lead to an understatement of gross profit and net income.
In summary, overhead is underapplied if actual overhead is more than applied overhead.
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suppose the government imposes a price ceiling on milk of $5 per gallon. a. how many gallons of milk will be bought and sold each day after the imposition of the price ceiling? 400 gallons per day b. what will be the excess demand for milk each day after the imposition of the price ceiling? 600 gallons per day c. what will be consumer surplus after the imposition of the price ceiling? $ 900 per day d. what will be producer surplus after the imposition of the price ceiling? $ 2100 per day e. what will be the loss in total economic surplus each day that results from the imposition of the price ceiling? $ 3000 per day
A price ceiling is a legal limit on the maximum price at which a good or service can be sold in the market. In this scenario, the government has imposed a price ceiling of $5 per gallon on milk.
As a result, the quantity of milk demanded by consumers exceeds the quantity supplied by producers, leading to excess demand or a shortage of 600 gallons per day. This shortage can lead to a black market or a rationing system, which can result in further inefficiencies. The quantity of milk bought and sold each day after the imposition of the price ceiling is 400 gallons per day, which is lower than the equilibrium quantity of milk that would have been sold in the absence of a price ceiling. This reduced quantity is due to the fact that the price ceiling creates a disincentive for producers to supply more milk to the market since they cannot charge a higher price for their product. Consumer surplus, which is the difference between the maximum price consumers are willing to pay and the actual price they pay, decreases after the imposition of the price ceiling. However, it is still present, and its value is $900 per day, which represents the net benefit that consumers receive from purchasing milk at a price lower than their maximum willingness to pay. Producer surplus, which is the difference between the price at which producers are willing to supply milk and the actual price they receive, increases after the imposition of the price ceiling. This increase is due to the fact that the price ceiling prevents producers from charging higher prices and allows them to charge a price that is closer to their minimum acceptable price. The value of producer surplus is $2100 per day. Finally, the total economic surplus, which is the sum of consumer surplus and producer surplus, decreases by $3000 per day after the imposition of the price ceiling. This loss in economic surplus represents the inefficiency caused by the price ceiling, which reduces the quantity of milk sold in the market and prevents the market from achieving the equilibrium price and quantity that would maximize economic welfare.
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Delara is opening a credit card because her budget is really tight right now and she’s struggling to pay all of her expenses based on her income.
Why might a card with a long grace period be in her best interest?
She knows she’ll be making only the minimum monthly payments each month until she can find a job where she’ll earn more income. This means some of her payment every month will go toward paying interest rather than paying down her principal. What other factor(s) might be most important to Delara? Why?
A card with a long grace period would be in Delara's best interest because it would give her more time to pay off her balance before interest is charged.
What is interest?Interest is the cost of borrowing money or the reward for saving or investing money. It is calculated as a percentage of the principal, which is the original amount borrowed or invested. Interest is usually paid over time and can be compounded, which means it can earn additional interest.
This would allow her to focus her payments on reducing her principal balance, rather than paying interest. Additionally, it would give her more time to find a new job with higher income, so she can begin paying off her balance more quickly. Other factors that might be important to her include the annual fee and APR, as well as any rewards or cashback programs that come with the card.
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The ____ price indicates how much the market maker will pay per share to buy a stated quantity of the stock, while the ____ price indicates the price per share at which it will sell the same stock. Ask; bid say on pay; spread spread; say on pay bid; ask
The Bid price indicates how much the market maker will pay per share to buy a stated quantity of the stock, while the Ask price indicates the price per share at which it will sell the same stock.
What is the bid and the ask price?In the financial markets, the Bid price and Ask price are the two prices that are most commonly quoted for a security, such as a stock or a bond. The Bid price is the highest price that a buyer is willing to pay for the security, while the Ask price is the lowest price that a seller is willing to accept for the security.
Therefore, the correct answer is "Bid; Ask". The difference between the Bid and Ask price is called the Spread.
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Based on the following information, calculate the expected return.
State of Economy Probability of State of Economy Rate of Return if State Occurs
Recession 0.25 -0.09
Boom 0.75 0.21
Based on the following information, calculate the expected return.
State of Economy Probability of State of Economy Rate of Return if State Occurs
Recession 0.25 -0.09
Normal 0.45 0.12
Boom 0.30 0.30
(5 marks)
Based on the following information, calculate the expected return and standard deviation for the 2 stocks.
State of Economy Probability of State of Economy Rate of Return if State Occurs
Stock A Stock B
Recession 0.20 0.01 -0.25
Normal 0.55 0.09 0.15
Boom 0.25 0.14 0.38
Expected return for Stock A = 0.20*(-0.25) + 0.55*(0.09) + 0.25*(0.14) = 0.085, Expected return for Stock B = 0.20*(0.01) + 0.55*(0.15) + 0.25*(0.38) = 0.198.
What is Stock ?Stock, also known as equities, are financial instruments that represent ownership in a company. They are issued by companies to raise capital and can be traded on stock exchanges. They grant the holder certain rights, such as voting at shareholders meetings, receiving dividends if declared, and the right to receive a portion of the company’s assets if it is liquidated. Investors purchase stock as a way to participate in the growth of a company while also earning returns through dividends or capital gains.
Standard Deviation for Stock is 0.094, Standard Deviation for Stock B is 0.138.
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In our previous discussions, we have been motivated by the idea that putting $200 per month ($2,400 per year) into the S&P 500 index can result in a portfolio of $1 million after 40 years (age 25 to 65). Investing $200 per month is called "dollar cost averaging" because you invest no matter if the market is up or down. The stock market has a lot of ups and downs, which means that return on investment is risky (i.e., return is uncertain, as shown by the plot below for the S&P 500 and Nasdaq indexes. As shown by the plot above, markets have a "two steps forward and one step backward" movement over time. But the interesting fact is that the risk decreases as investment holding period increases. The plot below shows that the probability of a positive return on investment increases the longer that you hold the stock. Ideally, we would like to "time the market" by trading the ups and downs – that is, increase our return by selling when the market starts going down and buying back in when the market starts going back up. The problem is that markets are very noisy, and start / stop erratically, so it is difficult to predict the market. As shown in the articles below, the market tends to make big moves up or down – so that gains or losses are concentrated in a few days – most of the time, the market is going sideways. question: The market is way down right now (see plot at top of page) because of concerns over economic issues such as interest rates and inflation. Should people with cash invest now, or wait for the market to recover? Explain your thinking.
To seek security from investment, it's best to wait for the market to recover. This is because if the market is unstable it will increase the risk of loss.
The decision to invest now or wait for the market to recover depends on a person's individual risk tolerance and financial goals. It is important to consider how long you plan to stay invested in the market, as the risk of loss decreases the longer you hold.
Dollar cost averaging can be used to help manage risk and increase the chance of a positive return on investment. With dollar cost averaging, you invest a fixed amount at regular intervals (e.g. $200 per month) regardless of whether the market is up or down. This allows you to take advantage of dips in the market, buying more shares when the price is low.
Additionally, it may be beneficial to take a long-term approach to investing, as the markets tend to go up and down in the short-term, but are generally rising in the long-term. That being said, it is important to assess your own risk tolerance before investing, as there is no guarantee that the market will recover.
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a high school football player who was injured when his helmet failed to protect his head from severe injury after a normal tackle in a game wants to sue the helmet manufacturer for damages. through the discovery process, it was found the manufacturer knew its football helmets did not perform as well as others on crown (i.e., head) impacts. what would have been the best step for the manufacturer to have taken to avoid a lawsuit?
The best step for the manufacturer to have taken to avoid a lawsuit is to recall the helmets to prevent any further harm. Also, they could have issued a public statement or voluntary recall notice alerting users of the issue.
A lawsuit is a civil action where a plaintiff, a person, or entity who believes that they have been harmed or injured by the conduct of the defendant, seeks legal redress. It is a legal case in which a court of law adjudicates a matter that is in dispute. The best step for the manufacturer to have taken to avoid a lawsuit is to recall the helmets to prevent any further harm.
Also, they could have issued a public statement or voluntary recall notice alerting users of the issue. A helmet is supposed to protect the head, and if it fails to do that, it can cause severe damage or even death. If the manufacturer had known that their helmets were defective and could cause harm, they should have taken swift action to rectify the situation to prevent any more harm.
Therefore, a voluntary recall or public statement would have been the best step for the manufacturer to have taken to avoid a lawsuit.
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A recent edition of the wall street journal reported interest rates of 8. 75 percent, 9. 10 percent, 9. 48 percent, and 9. 75 percent for 3-, 4-, 5-, and 6-year treasury security yields, respectively. According to the unbiased expectation theory of the term structure of interest rates, what are the expected 1-year forward rates for years 4, 5, and 6?
The expected 1-year forward rates for years 4, 5, and 6 are 8.93%, 9.03%, and 9.15%, respectively.
The unbiased expectation theory of the term structure of interest rates posits that the current long-term interest rate is equal to the average of the expected future short-term interest rates. Therefore, if we assume that the current long-term interest rate is the 6-year treasury security yield of 9.75%, we can use this theory to calculate the expected 1-year forward rates for years 4, 5, and 6 as follows:
For the expected 1-year forward rate for year 4, we can use the 3-year treasury security yield and the 4-year treasury security yield. According to the theory, the expected 1-year forward rate for year 4 would be:
(2 * 9.10% * 8.75%) / (9.10% + 8.75%) = 8.93%
For the expected 1-year forward rate for year 5, we can use the 4-year treasury security yield and the 5-year treasury security yield. According to the theory, the expected 1-year forward rate for year 5 would be:
(3 * 9.48% * 9.10% * 8.93%) / (9.48% * 9.10% + 9.10% * 8.93% + 9.48% * 8.93%) = 9.03%
For the expected 1-year forward rate for year 6, we can use the 5-year treasury security yield and the 6-year treasury security yield. According to the theory, the expected 1-year forward rate for year 6 would be:
(4 * 9.75% * 9.48% * 9.03%) / (9.75% * 9.48% + 9.48% * 9.03% + 9.75% * 9.03%) = 9.15%
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The articles of Milkline (Z) Ltd provide that any dispute between the company and its members should be referred to arbitration. Tick Tembo who is both Director and Shareholder is alleged to have improperly drawn allowances. The Company has commenced proceedings in the High Court to recover the money. Tick Tembo wishes to have the proceedings in the High Court discontinued and the matter referred to arbitration as provided for in the articles. advise Tembo
The most popular method for resolving shareholder agreement disputes is arbitration. Shareholder agreements contain arbitration clauses to settle disputes and are governed by Indian law.
A shareholder suing a director is it legal?Because only the corporation, not a particular shareholder, may initiate a lawsuit against a negligent director, a shareholder may attempt to file what is known as a "derivative claim" against the corporation. It is essential that the accusations are directed towards the company's executives.
What exactly are shareholder and director conflicts?Allegations made against the majority of the directors by a minority shareholder who is not a director are at the heart of the majority of shareholder disputes. If the directors' acts go against their fiduciary duties, the litigation is frequently filed.
How is an investor dispute resolved?By a majority vote at board meetings or by a shareholders' meeting based on share ownership, the majority of less significant issues can typically be resolved. Yet most often, there are two owners who both have an equal ownership stake in the business, which might result in a deadlock if neither side is willing to give ground.
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Tableau da 7-3: mini-case, aging of receivables method and adjusting entries lo p3 the manager asks you to assist her with the data analytics on bad debts expense at year-end. To do this, you access the following tableau dashboard for your company
You may take the following actions to help the management with data analytics on bad debts expenditure at year-end utilising the ageing of receivables method: Collect the required information: Get data
Analyzing data to get insights and make wise judgements is the process of analytics. It entails applying statistical and mathematical methods to gather, arrange, and analyse data. In a variety of industries, including business, healthcare, finance, and marketing, analytics may be utilised to solve issues, increase productivity, and spot possibilities. In today's quick-paced, data-driven world, analytics is more crucial than ever because to the growing availability of big data. Analytics are used by businesses to better analyse consumer behaviour, streamline processes, and come to strategic conclusions. Analytics are used by healthcare practitioners to enhance patient outcomes and lower expenses. Overall, analytics is essential for decision-making, problem-solving, and fostering innovation across a range of industries.
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fill in the blank. that is known as (an)___operation. when the cpu compares two values, such as seeing if one number is greater than another, that is known as (an)___operation. conditional logical numerical arithmetic
When the CPU compares two values, such as seeing if one number is greater than another, that is known as a conditional operation. Here, the blank space is filled by the word conditional.
What is a conditional operation?A conditional operation is a process that uses conditional logic to test a particular condition, which is either true or false, and then executes some specified operation based on the outcome of the test.
For example, a simple conditional operation could test whether a given number is greater than 10, and if it is, then the operation could perform some specified action, such as adding 5 to the number or printing a message to the screen.
In computer programming, conditional operations are frequently used in decision-making procedures, such as if-else statements or switch statements, to determine which code block to execute based on a particular condition.
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Use the information that you have learned in this section about various types of investments and their benefits and drawbacks to help your grandmother create an investment portfolio. The portfolio should detail the types of investments she should choose, how much she should devote to each investment, and the reasons for choosing those investments over others. She must choose to invest the money in at least two different types of investments. You must provide a description of each investment and explain your reasons for choosing those types. Keep in mind that her needs are different than your needs. For instance, she is nearing retirement age, so she may not be as interested in riskier investments as a younger person might be.
When putting together an investment portfolio, remember to take grandmother's requirements and objectives into account. Therefore the investment option are stocks and bonds, mutual funds, cash equivalent. These investment are low risk investment.
It is important to consider your grandmother's needs and goals when creating an investment portfolio. For instance, since she is nearing retirement age, it may be wise to focus more on low-risk investments. This will help to ensure that her money is safe and grows steadily over time.
One option would be to invest in stocks and bonds. Stocks offer the potential for high returns, but also come with a certain degree of risk. Bonds, on the other hand, are much less volatile and are typically a safer option.
Another option would be to invest in mutual funds. These investments are professionally managed, meaning that they are a good option for those who may not have a lot of experience with investing. Additionally, mutual funds can often be tailored to the investor's individual needs, making them a good option for those nearing retirement.
Finally, it would be wise to consider investing in cash equivalents, such as certificates of deposit (CDs). These investments have low risk and typically provide consistent returns, making them a good choice for those who need more predictable returns.
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Big Pear has 10,000 outstanding bonds. These bonds have a 30-year maturity and $1,000 par value. Their yield to maturity is 10%, they pay interest semiannually, and they sell at a price of $810.71. What is the bond's coupon interest rate?
Question 16 options:
6%
7%
8%
9%
10%
4%
The answer to the question is that the bond's coupon interest rate is approximately 6%.
To calculate the coupon interest rate of the bonds, we first need to understand the relationship between the bond's price, its par value, its yield to maturity, and its coupon rate.
The coupon rate of a bond is the annual interest rate that the bond pays. It is based on the bond's par value, which in this case is $1,000.
The yield to maturity (YTM) is the total return anticipated on a bond if it is held until it matures. It takes into account the bond's current market price, its par value, the coupon interest paid, and the time left until maturity.
The price of a bond can be calculated using the formula:
Price = (Coupon payment / (1 + YTM/2)^n) + (Coupon payment / (1 + YTM/2)^(n-1)) + ... + (Coupon payment + Par value) / (1 + YTM/2)^n
where n is the number of semiannual periods.
With the given values, we can plug them into the formula and solve for the coupon payment, which will give us the coupon rate since we know the par value. Alternatively, we can iterate through different coupon rates until we find one that matches the given values.
Using the first method, we can set up the equation as follows:
[tex]810.71 = 50 / (1 + 0.05)^1 + 50 / (1 + 0.05)^2 + ... + 50 / (1 + 0.05)^60 + 1000 / (1 + 0.05)^60[/tex]
Simplifying this equation gives us:
[tex]810.71 = 50 * (1 - 1 / (1 + 0.05)^60) / 0.05 + 1000 / (1 + 0.05)^60[/tex]
Solving for the unknown variable of 0.05 (which represents the semiannual interest rate) gives us the answer of approximately 6.14%.
Therefore, the answer to the question is that the bond's coupon interest rate is approximately 6%.
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Question 2 (25 Marks) Beef and Steak are prestigious chefs and partners in an upmarket gourmet restaurant trading as "The Grill House". They share profits and losses in the ratio 3:2. On 31 July 2021 the statement of financial position indicated the following: 1. On 1 August 2021 Mouton obtained a one third (1/3) in interest in the partnership by depositing
N$450000
into the cheque account of the partnership. 2. The partners do not want to show the general reserve on the statement of financial position after the admission of Mouton. 3. The partnership agreement states the following:
3.1
Each partner is entitled to salary of N
$5000
per month. 3.2 Partners are entitled to interest on capital of
10%
of the opening balance of their capital accounts. Newly admitted partners earn
10%
of their contribution apportioned for the number of months that they served as partners. 4. Sales for the year amounted to
N$3000000
. All sales were made in cash. 5. Inventory purchases for the year amounted to
N$2500000
. All purchases were made in cash. 6. Inventory on hand at 31 July 2022 amounted to
N$320000
. 7. Operating expenses of
N$160000
was incurred and paid in cash during the year. 8. Cash withdrawals by the partners during the year were as follows: REQUIRED: 1. Calculate the new profit share ratio after the admission of Mouton on 1 August 2021. (2 marks) 2. Provide the journal entries to record the admission of Mouton on 1 August 2021. Journal narrations are not required. ( 8 marks) 3. Prepare the statement of financial position of the partnership on 31 July 2022. (15 marks) Comparative figures are not required.
After a new partner has been admitted or an existing partner retires, the partners divide their profits and losses according to their new profit sharing ratio.
What is new profit sharing ratio?A change in the former partners' profit-sharing percentage also occurs at the time of the admission of a new partner. After accounting for both the former partners' and the new partner's respective losses, the new profit sharing ratio is determined. Here, we'll go over several scenarios that will help us figure out the new profit-sharing ratio. The new profit sharing ratio is the percentage that all partners, including new or incoming partners, will use to divide the company's future gains and losses.
Calculation of New Profit Share Ratio:
Before the admission of Mouton:
Beef's profit share = 3 / (3+2) = 3/5
Steak's profit share = 2 / (3+2) = 2/5
After the admission of Mouton:
The partnership agreement states the following: 3.1
Hence, new profit sharing ratio = 3 : 1
New profit sharing ration = old ratio * combined share
Since Mouton takes 1/3 th of the share, let us assume that the total profit for share after Mouton is admitted is 1.
Therefore, Beef and Steak share after Mouton is admitted = 1 - 1/3 = 4/5 = combined share of Beef and Steak.
New profit sharing ration = old ratio * combined share
Hence the new sharing ratio = 3/5 : 2/5 : 4/5
The journal entries of "The Grill House" are shown below:
On July 31
Cr Sales $3000000
Dr Inventory purchases $2500000
Cr Inventory on hand N$320000
Dr Operating expenses $160000
Cr Mouton $450000
Dr Mouton 750,000
Dr Beef, capital, 65,000
Dr Steak, capital, 30.00
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An investor has $92,000 to invest in a $376,000 property. He can obtain either Alternative 1: A $284,000 loan at 9.8 percent for 20 years or Alternative 2: A $212,000 loan at 9 percent for 20 years and a second mortgage for $72,000 at 13 percent for 20 years. All loans require monthly payments and are fully amortizing. Required: a. Which alternative should the borrower choose, assuming he will own the property for the full loan term? b. Which alternative should the borrower choose if the borrower plans to own the property only five years? c1. Which alternative should the borrower choose, assuming he will own the property for the full loan term and the second mortgage has a 10-year term? c2. Which alternative should the borrower choose, assuming that the borrower plans to own the property only for five years and the second mortgage has a 10-year term?
The alternative which the borrower should choose assuming that the borrower plans to own the property only for 5 years is:
a. The investor should choose Alternative 1. This loan will have a lower interest rate and overall cost over the course of the full loan term.
b. The investor should choose Alternative 1. Although the second mortgage has a lower interest rate, this loan will be more expensive over the course of the shorter term.
c1. The investor should choose Alternative 2. This loan will be more cost effective over the full 10-year term of the second mortgage.
c2. The investor should choose Alternative 1. This loan will be more cost effective over the shorter 5-year term.
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our client turned 22 years old today and expects to start working today. Your client expects to be paid once a year, at the end of each year. Your client expects to be paid $50,000 at the end of the first year and for this amount to grow each year by five percent. Your client expects to earn eight percent per year on all investments forever.
Your client’s pays a Social Security tax of 6.2% on all income at or below the Social Security taxable income limit. If your client’s income is above the threshold then your client’s tax is capped, i.e., your client would pay 6.2% of the threshold. The current Social Security taxable income limit is $160,200 and this threshold is expected to grow by 4% each year forever.
Your client can either retire at 62, 65, or 70 years. Once your client retires, this individual expects to receive Social Security disbursements once per year, with the first payment one year after the retirement date, and continuing in annual increments. So, if an individual retires at 62, the first Social Security disbursement would be at 63.
Today, Social Security paid $13,236 to individuals that retired at 62 years of age, $16,809.72 to individuals that retired at 65 years of age, and $23,427.72 to individuals that retired at 70 years of age. In one year, these disbursements will be $13,765.44 to individuals that retired at 62 years of age, $17,482.11 to individuals that retired at 65 years of age, and $24,364.83 to individuals that retired at 70 years of age. After one year, these disbursements are expected to continue to grow each year by four percent forever.
You should assume that your client receives a salary in the year your client retires and starts receiving social security one year after the retirement date
Our client will pay a Social Security tax of 6.2% on all income at or below the Social Security taxable income limit, which is currently $160,200. This limit is expected to grow by 4% each year.
Our client, who turned 22 years old today, expects to start working today and to be paid once a year, at the end of each year. This amount will be $50,000 at the end of the first year, and then increase by five percent each year. In addition, our client can expect to earn eight percent per year on all investments.
Our client will pay a Social Security tax of 6.2% on all income at or below the Social Security taxable income limit, which is currently $160,200. This limit is expected to grow by 4% each year.
When the time comes for our client to retire, they can choose to do so at 62, 65, or 70 years of age. Once our client retires, they can expect to receive Social Security disbursements once per year, with the first payment one year after the retirement date.
For example, if the individual retires at 62, they will receive their first Social Security disbursement at 63.
Currently, Social Security disbursements are $13,236 for individuals that retired at 62 years of age, $16,809.72 for individuals that retired at 65 years of age, and $23,427.72 for individuals that retired at 70 years of age. In one year, these amounts are expected to increase to $13,765.44, $17,482.11, and $24,364.83, respectively.
After that, these disbursements are expected to continue to grow each year by four percent forever.
Finally, it should be noted that your client can still receive a salary in the year that they retire and start receiving Social Security one year after their retirement date.
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Sixteen cancer patients volunteer for a clinical trial. Six of the patients will receive a placebo and Ten will receive the trial drug. In how many different ways can the researchers select 10 patients to receive the trial drug from the total of 16?
The different ways researchers select 12 patients to receive the trail drug from the total of 16: 5 , =1820 Ways.
What is a Combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.
The number of permutations/k! is the formula for computing the number of combinations. n!/(n-k) is the number of permutations! Hence, the number of combinations is (n!/(n-k)!)/k!
Moreover, there are two categories of combinations (note that the order is irrelevant at this point): Repeating phrases like "coins in your pocket" is acceptable (5,5,5,10,10) The same goes for lotto numbers (2,14,15,27,30,33),
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The Custodial Division of Clark's Corporate Services (CCS) has assets of $1.2 million. During the past year, the division had profits of $276,000. CCS has a cost of capital of 7.5 percent. Ignore taxes. Required: a. Compute the divisional ROI for the Custodial Division. b. Compute the divisional RI for the Custodial Division. Complete this question by entering your answers in the tabs below. Compute the divisional ROI for the Custodial Division. The Custodial Division of Clark's Corporate Services (CCS) has assets of $1.2 million. During the past year, the division had profits of $276,000. CCS has a cost of capital of 7.5 percent. Ignore taxes. Required: a. Compute the divisional ROI for the Custodial Division. b. Compute the divisional RI for the Custodial Division. Complete this question by entering your answers in the tabs below. Compute the divisional RI for the Custodial Division. Note: Enter your answer in dollars, not in millions.
a. Compute the divisional ROI for the Custodial Division
ROI stands for return on investment. ROI is used to evaluate the efficiency of an investment or compare the efficiency of a range of investments. ROI is calculated by dividing the return of an investment by the cost of the investment.
ROI= Profits / Assets = $276,000/$1,200,000 = 0.23ROI= 23%
b. Compute the divisional RI for the Custodial Division RI stands for residual income. Residual income is an income earned by an entity beyond the minimum rate of return on the capital invested.
RI= Profits - Cost of Capital x Assets Cost of Capital= 7.5% x $1,200,000 = $90,000RI= $276,000 - $90,000 = $186,000RI= $186,000 in dollars.
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oposal should be prepared for which of the following reasons? to announce a new wellness program for employees to make an offer to solve problems, provide services, or sell products to deliver bad news to employees
The proposal should be prepared to announce a new wellness program for employees, make an offer to solve problems, provide services, or sell products, and to deliver bad news to employees.
A proposal is an important document that outlines a plan of action or provides an offer from one party to another. Proposals are often used to announce new programs or services to customers or employees.
They can also be used to make an offer to solve problems, provide services, or sell products. Finally, proposals can also be used to deliver bad news to employees.
When creating a proposal, the writer should ensure that all relevant information is included and that the language used is clear and concise.
All information should be factually accurate, and the proposal should include a step-by-step explanation of the plan or offer. Additionally, the proposal should include any terms and conditions that both parties must agree to in order to move forward.
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Develop a detailed market entry plan for Amazon to enter Nigeria
& Kenya analyzing and explaining the rationale, country
conditions, opportunities, business model and risks?
Amazon's market entry plan for Nigeria and Kenya should prioritize building local partnerships, establishing a strong logistics infrastructure, and adapting to local payment systems.
Nigeria and Kenya are rapidly growing economies with expanding e-commerce markets and rising middle classes. However, challenges include weak infrastructure, low digital literacy, and high levels of corruption.
Amazon's business model of offering a wide range of products and services, including its own branded products and third-party sellers, should be adapted to the local market.
Risks include intense competition from established local e-commerce companies and navigating complex regulations. Overall, successful entry into these markets could offer Amazon significant growth opportunities and help it establish a foothold in Africa.
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for a given downward-sloping, linear demand curve, total revenue is maximized at the point where for a given downward-sloping, linear demand curve, total revenue is maximized at the point where demand is perfectly elastic. price elasticity is 0. price elasticity is equal to 1. where demand is perfectly inelastic. price elasticity is greater than 1.
For a given downward-sloping, linear demand curve, total revenue is maximized at the point where price elasticity is equal to 1. This is known as the unit elastic point.
At this point, the quantity demanded and the price are at a level that produces the maximum amount of total revenue for the seller. If the price elasticity is greater than 1, it means that the demand is elastic and a small change in price will result in a larger change in quantity demanded. If the price elasticity is less than 1, it means that the demand is inelastic and a small change in price will result in a smaller change in quantity demanded. Therefore, the point where price elasticity is equal to 1 is the optimal point for maximizing total revenue.
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A household consists of a married couple, their two-year-old daughter. the couple's daughter has no income and lived with her parents all of last year. How many exemptions can the couple claim on last year's tax return if they file with the married filling jointly status
The total number of exemptions the couple can claim on their last year's tax return if they file with the married filing jointly status would be three. Option D
How many exemptions can the can the couple claim on last year's tax returnFor tax purposes, an exemption is a deduction from an individual's taxable income for themselves and their dependents. In the given scenario, the household consists of a married couple and their two-year-old daughter. The couple can claim one exemption for themselves and one exemption for their daughter, as she is their dependent and has no income.
Therefore, the total number of exemptions the couple can claim on their last year's tax return if they file with the married filing jointly status would be three (one for each spouse and one for their dependent daughter).
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When overhead applied exceeds actual overhead cost, overhead is
said to be underapplied. True or False?
The statement "When overhead applied exceeds actual overhead cost, overhead is said to be underapplied" is true because underapplied overhead occurs when the actual overhead cost is greater than the overhead allocated to products.
What is overhead?Overhead is the indirect costs that are incurred during the production process. The cost of overhead is that it cannot be directly charged to a particular product, department, or project. Overhead includes costs such as rent, utilities, and salaries for management staff, as well as other costs that are necessary for the production process to function smoothly.
The allocation of overhead is necessary in order to calculate the cost of each unit of product. The overhead rate is determined by dividing the total overhead cost by the number of units produced. The rate is then used to allocate overhead to each unit produced.
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on march 31, 2024, a company purchased the right to remove gravel from an old rock quarry. the gravel is to be sold as roadbed for highway construction. the cost of the quarry rights was $197,800, with estimated salable rock of 23,000 tons. during 2024, the company loaded and sold 5,100 tons of rock and estimated that 17,900 tons remained on december 31, 2024. on january 1, 2025, the company estimated that 10,200 tons still remained. during 2025, the company loaded and sold 15,300 tons. the company uses the units-of-production method. the company would record depletion in 2024 in the amount of: note: do not round depletion rate per ton. multiple choice $44,785. $56,356. $43,860. $32,895.
The company would record depletion in 2024 in the amount of $44,785.
To calculate depletion, we need to determine the depletion rate per ton and then multiply it by the number of tons sold during the year.
Depletion rate per ton = Cost of quarry rights / Estimated salable rock
Depletion rate per ton = $197,800 / 23,000 tons = $8.60 per ton
Depletion expense for 2024 = Depletion rate per ton x Tons sold in 2024
Depletion expense for 2024 = $8.60 x 5,100 tons = $43,860
The remaining estimated salable rock as of December 31, 2024, was 17,900 tons, so the remaining cost to be depleted was:
Cost to be depleted = Depletion rate per ton x Remaining estimated salable rock
Cost to be depleted = $8.60 x 17,900 tons = $153,940
The total cost to be depleted over the life of the quarry is:
Total cost to be depleted = Cost of quarry rights - Salvage value
Total cost to be depleted = $197,800 - 0 = $197,800
Therefore, the depletion rate for 2025 is:
Depletion rate per ton = (Total cost to be depleted - Cost to be depleted as of December 31, 2024) / Estimated remaining salable rock
Depletion rate per ton = ($197,800 - $153,940) / 10,200 tons = $4.29 per ton
Depletion expense for 2025 = Depletion rate per ton x Tons sold in 2025
Depletion expense for 2025 = $4.29 x 15,300 tons = $65,697
Thus, the company would record depletion in 2024 in the amount of $44,785 ($43,860 + ($153,940/$197,800)*($65,697))
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