Under the current market conditions Bond 1 has a price (per 100 of face amount) of 88.35 and a Macaulay duration of 12.7, and Bond 2 has a price (per 100 of face amount) of 130.49 and Macaulay duration of 14.6. A portfolio is created with a combination of face amount F of Bond 1 and face amount of Bond 2. The combined face amount of the portfolio is F + F = 100, and the Macaulay duration of the portfolio is 13.5. Find the portfolio value.

Answers

Answer 1

The face amount of Bond 1 in the portfolio is $57.89 and the face amount of Bond 2 is $42.11. Then, the portfolio value is $7,178.72.

We can start by using the formula for the Macaulay duration of a portfolio;

Macaulay duration of portfolio = (Macaulay duration of Bond 1 × % of Bond 1 in portfolio) + (Macaulay duration of Bond 2 × % of Bond 2 in portfolio)

13.5 = (12.7 × F/100) + (14.6 × (100-F)/100)

Multiplying both sides by 100, we get;

1350 = 12.7F + 1460 - 14.6F

Simplifying, we get:

-1.9F = -110

F = 57.89

So the face amount of Bond 1 in the portfolio is $57.89 and the face amount of Bond 2 is $42.11.

To find the portfolio value, we can use the weighted average formula;

Portfolio value = (Price of Bond 1 × Face amount of Bond 1) + (Price of Bond 2 × Face amount of Bond 2)

Portfolio value = (88.35 × 57.89) + (130.49 × 42.11)

Portfolio value = $7,178.72

Therefore, the portfolio value is $7,178.72.

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Related Questions

In __________ pricing, the price of goods and services is limited to levels that tend to discourage new entry to markets. Multiple Choice per se variable exemption congestion limit

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In Limiting pricing, the price of goods and services is limited to levels that tend to discourage new entry into markets.

What is LImiting Pricing?A monopolist may utilize limiting pricing to deter entrants. If a monopolist sets a profit-maximizing price (MR=MC), the level of supernormal profit is so high that it attracts new enterprises into the market. Limiting pricing entails lowering the price enough to discourage entry. It results in lower short-term profit, but it allows the corporation to maintain its dominant position and long-term profitability.As a result, rather than encouraging new firms to participate, the monopolist may decide to establish a price that is lower than the profit-maximizing level, but yet high enough to allow it to make more profits than in a competitive market.

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A department that incurs costs, generates revenues, and is responsible for effectively using department assets is considered a(n):

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A department that incurs costs also it generates revenue and is also responsible for effectively using the departmental assets is considered as an investment center.

What is an Asset?

An asset is controlled by the organization and which can result in future cash inflows for the organization. Assets are of two types intangible and tangible assets.

Using the perfect set of tangible and intangible assets a department generates revenue.

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Answer: Cost Center

Explanation:

Alternative dispute resolution (ADR) refers to _______ methods by which disputes are resolved outside of the court system.

Answers

Answer answer: any methods

Competition, channel members, costs, customers, and company objectives are the five critical components of blank?

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Competition, channel members, costs, customers, and company objectives are the five critical components of blank pricing. Pricing is the process of determining the value that a manufacturer will receive in exchange for their goods and services. The producer uses a pricing strategy to make the cost of its products suitable for both the manufacturer and the consumer.

Pricing is determined by the company's average prices as well as the buyer's estimation of an item's value in relation to that of competitors' goods. Every entrepreneur starts a company with the goal of making a profit. The price strategy used by a company can help it achieve this goal.

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If demand increases, ceteris paribus, market price will be ______ at the new equilibrium point.

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By examining the signs of the eigenvalues of the linearization of the equilibria's equations, equilibria can be categorized. In other words, the equilibria may be classified by evaluating the Jacobian matrix at each of the system's equilibrium points and then determining the resulting eigenvalues.

Then, by locating the eigenvector(s) associated with each eigenvalue, the behaviour of the system in the vicinity of each equilibrium point can be qualitatively (or even statistically, in some cases) identified. If none of the eigenvalues at an equilibrium point have zero real component, the equilibrium is hyperbolic.

The point is stable if all of the eigenvalues have negative real portions. The point is unstable if at least one has a positive real part.

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Which of the following could explain why a firm would decrease production of a good despite making significant accounting profit

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The opportunity cost of an alternative foregone is greater could explain why a firm would decrease production of a good despite making significant accounting profit.

Opportunity costs are the potential gains that a person, investor, or company forgoes by selecting one option over another. Opportunity costs are by nature invisible, thus it is simple to miss them. Better choices may be made when a firm or individual is aware of the opportunities that can be lost by selecting one investment over another.

The capital structure of a company is greatly influenced by opportunity cost analysis. To make up for the investment risk, a company must pay costs when issuing debt and equity capital, but each has an opportunity cost as well. Loan repayment funds, for instance, cannot be used to purchase stocks or bonds, which have the potential to provide a return on investment.

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A large decrease in oil prices is an example of: _________
A. A positive inflation shock.
B. A negative inflation shock.
C. Inflation inertia.
D. Excessive aggregate spending

Answers

Answer:

d. Excessive aggregate spending

What level of market coverage is typically used for products like honest tea beverages? a.selective distribution b.physical distribution c.exclusive distribution d.intensive distribution

Answers

The  level of market coverage is typically used for products like honest tea beverages physical distribution. option b

What is Market coverage?

Market coverage involves the critically analyzing the market place to determine how an individual or organization will posses the market.

It is also called market share of an individual, where the total amount of people the market is able to hold as customers determines the coverage.

It can be measured based on how large the market is and the goods and services they sell.

The individual can use promotional strategy of a product as an approach. For beverages, physical distribution of the product can be done to attarct more customers.

Therefore, The  level of market coverage is typically used for products like honest tea beverages physical distribution. option b

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When applying for credit, what information should borrowers research?

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The information borrowers should research on when applying for credit are:

FeesInterest RatesIntroductory Rates

What is credit?

A credit is an arrangement, in which an individual or financial institution allows a borrower part with goods or money with a promise to pay later.  It is a commitment to pay for something in the future, instead of buying it right away.

Credit is amount of a money which a financial institution allows a person to receive any particular amount of money ,goods or services to use now and pay later.

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The _____________________ model produces for maximum profits where mr = mc and charges a higher price and produces less than the lowest cost output per unit (atc).

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The profit-maximizing firm model produces for maximum profits where mr = mc and charges a higher price and produces less than the lowest cost output per unit (atc). Profit maximization is the process by which businesses ensure that the best output and price levels are achieved in order to maximize their returns.

The firm adjusts influential factors such as sale price, production cost, and output levels to achieve its profit goals. The production quantity where marginal revenue equals marginal cost is where the monopoly can make the most money: MR = MC.

If the monopoly produces fewer units, MR > MC at those levels of output, and the firm can increase profits by increasing output. Find cheaper raw materials than those currently in use as an example of profit maximization. Find a supplier who provides better prices on inventory purchases.

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all plans must cover at least the standard part d coverage or its actual equivalent which of the following

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Payment of an annual deductible, 25% cost sharing up to the coverage gap, a share of the cost of both generic and name-brand pharmaceuticals during the gap and co-pays or coinsurance after the coverage gap are all necessary for Part D coverage.

What does standard Part D coverage include?

Every plan must provide the actuarial equivalent of the minimum Part D coverage. When the beneficiary reaches the catastrophic coverage threshold, they are required to pay either co-pays for generic and brand-name medications or coinsurance of 5%, whichever is higher, as part of the standard Part D coverage.

Payment of an annual deductible, 25% cost sharing up to the coverage gap, a share of the cost of both generic and name-brand pharmaceuticals during the gap. and co-pays or coinsurance after the coverage gap are all necessary for Part D coverage.

Carline can continue receiving Original Medicare while simultaneously signing up for a Medicare prescription drug plan through a private business that has an agreement with the government to exclusively offer such medication coverage to qualified Medicare beneficiaries. All plans must offer the actuarially equivalent of the minimum required Part D coverage.The basic benefit comprises a yearly deductible and a coverage gap, formerly known as the "Donut Hole". Sponsors may also provide plans that are different from the standard benefit but actuarially similar to it.

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Benton corporation acquired real estate that contained land, building and equipment. the property cost benton $825,000. benton paid $175,000 in cash and issued a note payable for the remainder of the cost. an appraisal of the property reported the following values: land, $85,000; building, $625,000; and equipment, $250,000. what value will be recorded for the building

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$537109 will be recorded value0 for the building.

What does it take to acquire a company?

A company makes an acquisition when it buys the majority or all of the shares of another company in order to take over that business. The acquirer can make choices regarding newly acquired assets without the consent of the target company's other shareholders if they buy more than 50% of the target company's stock and other assets.

What is the journal entry for acquisition?

The company can make the journal entry for the goodwill on acquisition by debiting the assets at the fair value and the goodwill account and crediting the liabilities at the fair value and the cash account.

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In the process of reconciling its bank statement for January, Maxi's Clothing's accountant compiles the following information:

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The adjusted cash balance per the books on January 31 is $4,055

What is ETF?

Since bank service had been deducted from the bank, Maxis clothing had to deduct the same amount. When bank deducts any money, generally it notifies through text message or sometimes does not notify directly. Therefore, It had to be deducted from the cash book.

Through Electronic Fund Transfer (EFT), a payment had been made by the bank for Maxi clothing. Since the expense did not deduct from the cash book, the amount had to deduct it to get the adjusted book value.

Solution:

To find the adjusted book balance, we need the ending balance of the cash book:

Book balance                                  $4,725

Less: bank service charges                 (25)

Less: EFT                                             (380)

Less: NSF check returned by bank   (265)

Adjusted book balance                  $4,055

Maxi's accounts receivable paid him a check and the firm immediately added the amount to the cash book. When the accountant went for depositing the check, there were not sufficient fund (NSF). Therefore, the amount did not add to the bank balance. Hence, the firm had to deduct it again.

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Question:

In the process of reconciling its bank statement for January, Maxi's Clothing's accountant compiles the following information:

Cash balance per company books on January 30 $4,725

Deposits in transit at month-end $1,800

Outstanding checks at month-end $520

Bank service charges $25

EFT automatically paid monthly, not yet recorded by Maxi $380

An NSF check returned on a customer account $265

The adjusted cash balance per the books on January 31 is:

(A) $5,855

(B) $4,585

(C) $5,335

(D) $4,055

(E) $4,815

When Nestor's U.S.-based company purchased a manufacturing facility in China, the company decided to increase the output of the facility by adding an overnight shift. The workers refused to work the overnight hours and eventually the U.S. owner agreed to return to a regular work schedule and output levels dropped. Which aspect of business is being affected by culture

Answers

Aspect of business is being affected by culture is production.

What is production?

Production can be defined as the process of manufacturing or producing goods from raw material to finished products and it can as well be defined as the amount of goods or products manufactures at a particular period of time.

Hence, since the company want to increase output by introducing night shift and production will be affected if the worker refuse to work overnight hours as the output will reduce.

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If you, as an individual, conclude that doubling your pay check is a good thing for you, then it must be a good thing for the entire society.\

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The statement is false. The doubling of a paycheque is not a good thing for the entire society.

Your pay cheque is a piece of paper that your organization gives you as your wages or revenue, and which you may then cash at a bank. you may also use a pay cheque as a manner of regarding your wages or salary. they have got labored for about weeks without a paycheck. COBUILD Advanced English Dictionary.

The first data of the time period paycheque come from the early 1900s. It combines the phrases pay, which can mean “the money a worker gets in change for paintings,” and test, a report that directs a bank to present someone the quantity of cash detailed.

A paycheque, also spelled pay check or pay cheque, is historically a paper file issued via an organization to pay an employee for offerings rendered.

Your question is incomplete. Please find the complete question below.

If you, as an individual, conclude that paying no taxes is a good thing for you, then it must be a good thing for the entire society.

- True

- False

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Workers with occupational exposure to human blood, body fluids, and OPIM need training. Which of the following statements is correct regarding training for workers

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The training for workers with occupational exposure is: OSHA Bloodborne Pathogens Standard training is important before  the initiation of work that  involve exposure and yearly within 365 days of the previous training.

What is occupational exposure?

Occupational exposure can be defined as the process of exposing oneself to substance that are harmful or pathogen at a workplace or work environment.

Hence, Occupational exposures  can happen when a person mistakenly cut him/herself with a sharp object that has been infected or  contaminated.

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The elements of consideration, in a bilateral contract for a sale of goods, are the sale and the goods.
a. false
b. true

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The elements of consideration, in a bilateral contract for a sale of goods, are the sale and the goods.

This statement is false.

A bilateral contract is the agreement between two parties in which each side pf the parties or contract agrees to fulfill their side of the bargain. Generally, bilateral contracts involves an equal and same obligation as well as consideration from the offeror and the offeree, although this case need not to be always necessary.

In the more complex situations, such as multinational trade negotiations, a bilateral contract can be called "side deal." IT means that  both parties means the offeror and offeree are involved in the general negotiations but may also see the need for a separate contract relevant only to their shared interests.

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Ecological balance is the goal that assumes the global economy can achieve balanced economic conditions ___________________ .

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Ecological balance is the goal that assumes the global economy can achieve balanced economic conditions and sustainable, living, plane balanced.

When an economy is in full employment and full production, one product can be produced more only if some other products are produced less. The point at the forefront of the productivity curve is that it is achievable and the economy is efficient.

An economic system is a means by which a society or government organizes and distributes the resources, services, and commodities available in a geographic region or country. The ecological balance system regulates factors of production such as land, capital, labor, and physical resources.

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Fiscal policy affects the economy:_____.
a. in both the short and long run.
b. only in the long run.
c. in neither the short nor the long run.
d. only in the short run.

Answers

Answer: in the both the long run and short



Explanation:

The financial plan part of a business plan should show how you plan to fund the business at various stages of the company's?

Answers

A financial plan is nothing more than a summary of your company's present financial situation and growth expectations. Consider any records that show your current financial status as a snapshot of the state of your company, and the projections as your hopes for the future. The financial plan is a snapshot of your company's current status,

As was previously stated. Your short- and long-term financial goals are informed by the predictions, which can serve as a springboard for establishing a plan of action. It aids you in establishing reasonable goals for the achievement of your company as a business owner.

Simply said, if you are well-versed in your finances, you are less likely to be taken aback by your current financial situation and better equipped to handle a crisis or rapid growth.

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Spending plans are divided into three categories with roughly ______% of the after tax budget going to the category of needs and _____________ % of the after tax budget going to wants, with the rest going to esi.

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Spending plans are divided into three categories with roughly 50% of the after tax budget going to the category of needs and 30% of the after tax budget going to wants, with the rest going to esi.

What is spending plans?

Spending plans can be defined as the process of planning how to spend your money by sharing your income based on want your need and what you want which will inturn can enable you to effectively manage your money as well as the way you spend.

Hence, Spending plans are divided into three categories with roughly 50% of the after tax budget going to the category of needs and 30% of the after tax budget going to wants, with the rest going to esi.

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To satisfy the Statute of Frauds, a written contract or agreement must contain a description of the consideration promised.

Answers

It is a true statement that a typical written contract or agreement must contain a description of the consideration promised in order to satisfy the Statute of Frauds.

What is the Statute of Frauds?

This refers to the legal concept that requires certain types of contracts to be executed in writing.

In the legal field, the Statute of Frauds covers contracts for the sale of land, agreements involving goods worth over $500 and contracts lasting one year or more.

Most times, the Statute of Frauds can be satisfied by any signed writing that:

identifies the subject matter of the contractis sufficient to indicate that a contract existsstates with reasonable certainty the material terms of the contract.

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Education for girls is a good investment in low-income countries because __________________.

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Education for girls is a good investment in low-income countries because better educated women are more likely to have healthier and better-educated children and this will promote economic growth.

Investing in girls education is a good investment in low-income countries because it will provide a boost to a country's economic growth and progress, and will act as a catalyst for gender equality on multiple levels.

Provided with an education, girls are more likely to earn a higher income later in life, increasing their family's overall quality of life.

Hence, girls education also increases the income of girls and leads to growth in GDP.

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cold cereal is a substitute for oatmeal. Raisins are a complement for oatmeal. Which of the following increases the demand for oatmeal

Answers

An increase in price of cold cereal will increase the demand for oatmeal.

What is Demand?Demand in economics refers to a consumer's readiness to pay a particular price for goods and services as well as their desire to buy them. Demand for a good or service typically declines when its price goes up. The amount needed will rise when a product's price drops, in a similar manner. Consumers and businesses are quite familiar with the idea of demand because it makes sense and happens organically throughout the course of almost any day.

For instance, when a product's pricing is low, shoppers who are keeping an eye on it will buy more of it. When costs increase, such as during a change in season, consumers may buy less or even nothing at all.

Therefore,

An increase in price of cold cereal will increase the demand for oatmeal.

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The organizational unit that is responsible for the sale and distribution of goods and services is the: group of answer choices plant company code sales organization distribution channel

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The organizational unit that is responsible for the sale and distribution of goods and services is the sales organization.

A sales organization is that organization which is  responsible for the sale and distribution of goods and services.

It represents the selling unit as a legal entity. sales organization is responsible for product guarantees and other rights to recourse.

The  sales organization is a mechanism to realize objectives of the complete organization. Since the market conditions change, the sales organization also  keeps on changing. It always accommodates the necessary environmental changes. This ensures survival as well as growth of the sales organizational unit as well as the complete organization.

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Jeanne wants to purchase a life insurance policy with guaranteed premiums. What kind of policy would she want to purchase

Answers

If Jeanne wants to purchase a life insurance policy with guaranteed premiums, the kind of policy she would purchase is b. Nonparticipating policy.

What is a nonparticipating policy?

A non-participating policy is an insurance policy in which the policyholder does not receive dividends from the life insurance plan if the insurance company achieves a surplus or profit in a period.

Another attribute of a nonparticipating policy is that premiums are less than other policies and remain fixed from period to period.

Thus, if Jeanne wants to purchase a life insurance policy with guaranteed premiums, the kind of policy she would purchase is b. Nonparticipating policy.

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Question Completion with Answer Options:

a. Dividend policy

b. Nonparticipating policy

c. Mutual policy

d. Participating policy

e. Stock policy

Ben, a production plant manager, reports to dan, a regional manager. ben and dan are ________.
A) top managersB) middle managersC) supervisorsD) first-line managers

Answers

Ben and Dan are middle managers. In a hierarchical organization, middle management is the intermediate management level that reports to executive management and is in charge of "team leading" and/or "specialized" line managers.

Middle management is indirectly responsible for the performance and output of junior staff members. Middle management is considered a senior (or semi-executive) role in comparison to line management because they have the authority to speak and act on behalf of the organization to line managers, junior employees, and customers.

An organization's lower (junior) levels and senior management are connected by a middle manager. Middle managers have the chance to share insightful information and recommendations from within an organization because of their engagement in the day-to-day operations of a corporation.

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Suppose the consumer confidence index increases from 103 to 146. How does this change effect the AD/AS model

Answers

The AS curve shifts to the left.

The Consumer Confidence Index is an economic indicator published by various organizations in several countries. Simply put, rising consumer confidence is an indication of the economic growth that consumers are spending and an increase in consumption.

When the latest index exceeds 100, consumers will be more confident than in 1985. Below 100, consumers are less confident than they were then.

Consumer confidence is an economic indicator. It measures how confident consumers are about the general state of the economy. It also measures how confident people are about income stability. Their self-confidence influences not only their financial decisions but their spending activities.

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Where would you go to review your client’s expense account to see if any transactions have been miscategorized?

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If I had to review your client’s expense account to see if any transactions have been miscategorized, I would go to reclassify transactions in accountant tools.

By avoiding opening each transaction and reclassifying each one separately, this tool saves a ton of time.

You can choose a group of transactions and reclassify them into another account using the Reclassify Transactions feature in QuickBooks Online Accountant (QBOA).

The Reclassify Transactions tool searches a set of transactions based on a sort from either the Profit and Loss view or the Balance Sheet view.

This feature only filters to one of the two, not both at once.

Remember that you can change the classification from Profit and Loss to Balance Sheet or vice versa.

Hence, to review your client’s expense account to see if any transactions have been miscategorized we go to reclassify transactions in accountant tools.

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The holder of a life estate may not _____ the property.

Answers

The holder of life estate may not sell property.The life tenant cannot sell or transfer the property.If any party  wants to sell their property then both the life tenant and remainder-man must agree on it.

A life estate is usually formed through a deed not created in a trust / will. A life tenant must maintained and pay costs on the property invalids tax and maintenance ,also protect real proper from creditor.

For example- If a husband will leave a home to his wife for lifelong and to his child upon her death,then an owner can execute a deed transferring the property to 3rd party and retained a life estate on that deed.

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The holder of a life estate may not will the property. A form of joint property ownership is a life estate. Owners of a life estate are permitted to use property forever. Life estate procedure is typically used to speed up inheritance while avoiding probate.

All of an owner's rights and obligations, with exception of the ability to sell or mortgage the property, remain with the life tenant. Life estates are most frequently created by homeowners in the U.S. to guarantee that next generation inherits the family home in the future while avoiding probate, legal procedure for establishing a will.

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Other Questions
In order to determine an interval for the mean of a population with unknown standard deviation, a sample of 24 items is selected. The mean of the sample is determined to be 23. The number of degrees of freedom for reading the t value is _____. Group of answer choices 21 22 23 24 What type of trait in mendel's studies could vanish in one generation and reappear in the next generation? Which kinetic chain checkpoint should be observed carefully because it controls the movement of the lower extremities? The hip The knee The shoulder The head and neck Question 3(Multiple Choice Worth 2 points)(09.03 MC)Read the excerpt from the story Animals in the Zoo."Don't worry, we won't be operating on the tamarins today. We are just checking their health and looking at their eyes, ears, and hands during this visit. We want to make sure they are healthy enough to be put into their enclosure," she said. Just then, a zoo employee brought in the two tamarins, and Ryan immediately understood why they were called cotton-top tamarins. Each of them had a white tuft of hair on top of their head. The zoo employee told Ryan and his mom that these two tamarins were the first of many to come to the zoo. If these two stayed healthy and appeared to be happy in their enclosure, the zoo would be able to get even more tamarins to fill the exhibit which is why they wanted to make sure they had an expert come in to examine them.It took Ryan's mother 30 minutes to check each tamarin. She wanted to make sure they both had thorough examinations. Finally, after an hour, she gave them both the all clear.One of the tamarins was looking right at Ryan and had her arms stretched out. Ryan looked at his mom with an inquiring gaze. She nodded at him, so he reached out and picked her up from the examination table. The tamarin licked the end of his nose, and Ryan laughed. He definitely would be back to visit the tamarins as soon as he could.Which line from the excerpt best supports the idea that Ryan is an animal-lover?A. She wanted to make sure they both had thorough examinations.B. One of the tamarins was looking right at Ryan and had her arms stretched out.C. She nodded at him, so he reached out and picked her up from the examination table.D. He definitely would be back to visit the tamarins as soon as he could. Read the excerpt from "Opening Ceremonies of the New York and Brooklyn Bridge" by Hon. Seth Low, Mayor of the City of Brooklyn.Fourteen times the earth has made its great march through the heavens since the work began. The vicissitudes of fourteen years have tried the courage and the faith of engineers and of people. At last we all rejoice in the signal triumph. The beautiful and stately structure fulfills the fondest hope. It will be a source of pleasure to-day to every citizen that no other name is associated with the end than that which has directed the work from the beginning--the name of Roebling. With all my heart I give to him who bears it now the city's acknowledgment and thanks.What is the central idea of this excerpt?Low explains that it took Roebling fourteen years to design and build the Brooklyn Bridge.Low celebrates the completion of the Brooklyn Bridge and the hard work that went into building it.Low takes credit for managing the planning and construction of the Brooklyn Bridge.Low complains that the construction of the Brooklyn Bridge took much longer than it should have. Economic resources that are owned or controlled by a company"" which one of the terms below matches the definition/description just given? _____ refers to the relatively stable view we hold of people, objects, or issues learned by direct experience or vicariously via others and/or the media which of the following best describes this graph Which of the following matches the graph of f (x) = 2(x + 1)2(x 1)(x 2)? The federal government approves additional funding for food resources in Africa. Which of the following would be a potential negative externality for the global environment Determine the number of oxygen atoms in 1.00 g of CaCO3 Under a system of dual federalism, conflicts between state laws and federal laws are Dave is the owner of cohen's sassy designs. He takes great effort to make sure that his employees know that if he promises a reward, he will always keep his word. Dave seems to believe in:_______ An operator can be overloaded to define functionality that is drastically different from the original operator.a. True b. False A speaker who plans the content, organization, and delivery of the speech in advance, but does not write the speech out word for word, uses which speech delivery method People whose rule breaking is viewed as understandable, incidental, or insignificant are known as which of the following What is grandfather Paradox? When you lift a book from the ground to your desk, what kind of work do you do, negative or positive Consider our Moon, a white dwarf, and a neutron star. Which of the following lists them in the correct order of size (diameter), from smallest to largest Find the arc length of the partial circle.Either enter an exact answer in terms of \pipi or use 3.143.143, point, 14 for \pipi and enter your answer as a decimal.