Label each of the following statements true, false, or uncertain. Explain your choice carefully.
a. The present discounted value of a stream of returns can be calculated in real or nominal terms.
b. The higher the one-year interest rate, the lower the present discounted value of a payment next year.
c. Interest rates are normally expected to be constant over time.
d. Bonds are a claim to a sequence of constant payments over a number of years.
e. The yield curve normally slopes up.

Answers

Answer 1

Answer:

a. The present discounted value of a stream of returns can be calculated in real or nominal terms. TRUE

This is true because the present value of returns can be calculated using nominal rates which do not account for inflation, or using real rates which will account for inflation.

b. The higher the one-year interest rate, the lower the present discounted value of a payment next year. TRUE

Higher interest rates discount payments faster because they discount by dividing the payment so a higher rate would divide the payment more and lead to a lower present value.

c. Interest rates are normally expected to be constant over time. FALSE

Interest rates change over time in response to economic conditions.

d. Bonds are a claim to a sequence of constant payments over a number of years. TRUE

As a bondholder, you are entitled to payments over the life of the bond which means that it is a claim to constant payment over a number of years.

e. The yield curve normally slopes up. TRUE

The yield curve slopes upward to represent that interest rates increase in future.


Related Questions

Carol Co. prepares a statement of cash flows starting with net income and then adjusting for items necessary to obtain net cash provided or used by operating activities. Carol Co. must be using the______method of reporting the statement of cash flows.

Answers

Answer:

indirect

Explanation:

From the question we are informed about Carol Co. prepares a statement of cash flows which start with net income and then adjusting for items necessary to obtain net cash provided or used by operating activities. In this case, Carol Co. must be using the

indirect method of reporting the statement of cash flows. In financial accounting, cash flow statement can be regarded as financial statement which express the way changes in balance sheet accounts as well as income affect cash and cash equivalents, and also give the analysis breakdown to operating, financing as well as investingactivities.

The methods for reporting statement of cash flows could be Direct or indirect method.

The indirect method can be regarded as method that gives presentation of the statement of cash flows by strating

with net income or net loss, along with deduction or additions to the amount for non-cash revenue and expense items or from them which comes subsequently, which then results to cash flow from operating activities.

Tim wants to purchase a new computer and go to the Caribbean for spring break. The computer is priced at $1,299, and the vacation is priced at $750. He has only $1,537 in his checking account, so he cannot afford to purchase both. After much thought, Tim buys the computer and writes a check for $1,299. Identify what role money plays in each of the following parts of the story. Hint: Select each role only once. Role of Money Medium of Exchange Unit of Account Store of Value Tim has $1,537 in his checking account. Tim writes a check for $1,299. Tim can easily determine that the price of the computer is more than the price of the vacation.

Answers

Answer:

Role of Money in Each Part of the Story:

1. Tim can easily determine that the price of the computer is more than the price of the vacation = Unit of Account

2. Tim has $1,537 in his checking account = Store of value

3. Tim writes a check for $1,299= Medium of Exchange

Explanation:

Money is countable and can be used to value exchanges and calculate profits and losses, income and expenses, and debts and wealth.  It can also be stored currently, retrieved at a later date, and exchanged for value in the future without significant loss of value.  Money facilitates transactions between parties.

It has been argued that the traditional model of a full-service, lead advertising agency is becoming obsolete. Discuss the changes occurring in the industry and how they are affecting the traditional lead agency model.

Answers

Answer:

Quilt

Explanatio

Hope it's right

Answer:

to complex to solve without the artical.

Explanation:

because there is no artical it cant be answered.

Last month, the Tecumseh Corporation supplied 400 units of three-ring binders at $6 per unit. This month, the company supplied the same quantity of binders at $4 per unit. Based on this evidence, Tecumseh has experienced:_________.
a. a decrease in supply
b. an increase in supply
c. an increase in the quantity supplied
d. a decrease in the quantity supplied.

Answers

Answer:

B

Explanation:

according to the law of supply, the higher the price, the higher the quantity supplied and the lower the price, the lower the quantity supplied

in this question, there was only a change in price but no change in the quantity supplied.

so a change in supply and not a change in the quantity supply occured

determine supply per price

400 / 6 = 67

400 / 4 = 100

supply increased

In evaluating the profit center manager, the income from operations should be compared a.across profit centers b.to historical performance or budget c.to the competitor's net income d.to the total company earnings per share

Answers

Answer: to historical performance or budget

Explanation:

A profit center in a business is a division that is able to make revenues independently and contribute to the revenue of the entire business. In evaluating the performance of a profit center manager, it is best to compare the performance to a budget or their historical performance.

This is because profit centers engage in different businesses and so their revenue making style will be unique. Some profit centers will make more than others because of the goods they produce or the way they produce it. It is therefore best to compare a profit center to an internal measure such as the budget and historical performance.

If the profit center exceeds either of these then they are performing well.

Janetta Corp. has an EBIT of $1,010,000 per year that is expected to continue in perpetuity. The unlevered cost of equity for the company is 15 percent, and the corporate tax rate is 35 percent. The company also has a perpetual bond issue outstanding with a market value of $1.99 million.

Required:
What is the value of the company?

Answers

Answer:

$5,073,166.67

Explanation:

Calculation to determine the value of the company

Using this formula

VL= [EBIT(1 − TC) / R0] + TCB

Let plug in the formula

VL= [$1,010,000(1 − .35) / .15] + .35($1,990,000)

VL=[$1,010,000(0.65)/.15]+696,500

VL=($656,500/.15)+$696,500

VL=$4,376,666.67+$696,500

VL= $5,073,166.67

Therefore the value of the company is $5,073,166.67

Use the information for Geiberger Corporation from BE21.12, except assume the collectibility of the rentals is not probable. Prepare any journal entries for Geiberger on December 31, 2019.
In BE21.12
Geiberger Corporation manufactures drones. On December 31, 2019, it leased to Althaus Company a drone that had cost $120,000 to manufacture. The lease agreement covers the 5-year useful life of the drone and requires five equal annual rentals of $40,800 payable each December 31, beginning December 31, 2019. An interest rate of 8% is implicit in the lease agreement. Collectibility of the rentals is probable. Prepare Geiberger’s December 31, 2019, journal entries.

Answers

Answer:

Date                Account title                                      Debit                Credit

12/31/2019      Lease Receivable                           $175,934

                      Cost of Goods sold                         $120,000

                      Sales Revenue                                                        $175,934

                      Inventory                                                                  $120,000

Date                Account title                                      Debit                Credit

12/31/2019      Cash                                                 $40,800

                       Deposit Liability                                                        $40,800

The rental amount is constant and is made on the first day of the lease period so this is an annuity due.

As the collectability is probable, you need to find the present value of this lease:

= 40,800 * Present value of annuity due factor, 5 year, 8%

= 40,800 * 4.3121

= $175,933.68

= $175,934

At a total cost of $2,480,000, Herrera Corporation acquired 160,000 shares of Tran Corp. common stock as a long-term investment. Tran Corp. has 400,000 shares of common stock outstanding, including the shares acquired by Herrera Corporation.

Required:
Journalize the entries by Herrera Corporation.

Answers

Answer:

Explanation:

Journalizing is the approach taken by corporate organizations for recording daily operations and transactions in the organization. Organizations use it to produce the final accounts and assess the company's performance and productivity.

Assuming:

the current net income of the Tran Corp. = $510,000  &

A cash dividend of $1.10 / common share is paid by Tran Corp.

Then:

To record entry for income of Trans Corp:

Description                                 Debit ($)        Credit($)

Investment - Tran Corp. stock  

(510000*(160000/400000)         204000

Tran Corp COmpany Income                            204000

(To record income of Tran Corp Company)

The entry record for dividend received by cash:

Description                                    Debit ($)     Credit ($)

Cash  (160000/1.10)                        145,455

Investment - Tran Corp stock                           145,455

(Record recieved dividend)

Corporation has 73,000 shares of common stock outstanding. It declares a $2 per share cash dividend on November 1 to stockholders of record on December 1. The dividend is paid on December 31. Prepare the entries on the appropriate dates to record the declaration and payment of the cash dividend

Answers

Answer: See explanation

Explanation:

The entries to record the declaration and payment of the cash dividend will be:

Novemeber 1:

Debit Dividend expenses $146000

Credit Dividend payable $146000

(To record dividend payable liability)

December 1:

Debit Dividend payable $146000

Credit Cash $146000

(To record payment of dividend)

Note: Cash dividend was calculated as:

= 73000 × $2

= $146000

During the 1990s, several airlines were on the brink of bankruptcy. These same airlines were giving away millions of dollars in free airline travel through their frequent-flyer programs. Do you think it would have been a good idea for these airlines to eliminate their frequent-flyer programs in order to earn higher profits?

Answers

Answer:

Assuming that the elimination of frequent-flyer programs would have enabled the airlines to earn higher profits and remain in business, then it would be a purely good idea for the airlines to eliminate their frequent-flyer programs.

The big question is, how much did the frequent-flyer programs cost the airlines?  Would the cost-savings be sufficient to eliminate their bankruptcies?  It is a known-fact that the airlines that create such programs always recover the program costs by charging higher fares.

Explanation:

The issue of airlines going bankruptcy does not seem to stem from customer-loyalty programs like the frequent-flyer programs.  The root cause lies in operational and other costs that airline managements have not been able to control.

In the Land of Milk and Honey, they produce two goods: Milk and Honey. In 2014, milk cost $2 a gallon and they produced 10 gallons. Honey cost $1 a pint and they produced 20 pints. In 2015, milk cost $2 a gallon and they produced 12 gallons. Honey cost $1 a pint and they produced 24 pints. In 2016, milk cost $2.50 a gallon and they produced 12 gallons. Honey cost $1.25 a pint and they produced 24 pints. The base year is 2015. Calculate real GDP in 2014.
a. $20.
b. $40.
c. $48.
d. $60.
e. $80.
f. $100.
g. $125.

Answers

Answer:

Land of Milk and Honey

The real GDP in 2014 is:

= b. $40.

Explanation:

a) Data and Calculations:

                                         Milk           Honey            Total GDP

Cost per gallon in 2014   $2                 $1

Quantity produced           10                 20

Total production value  $20 ($2*10)  $20 ($1*20)    $40 ($20 + $20)

Cost per gallon in 2015   $2                 $1

Quantity produced           12                 24

Total production value  $24 ($2*12)  $24 ($1*24)    $48 ($24+ $24)

Cost per gallon in 2016   $2.50              $1.25

Quantity produced           12                   24

Total production value  $30 ($2.50*12)  $30 ($1.25*24) $60 ($30 + $30)

The real GDP in 2014 is the calculated value of $40.  Using 2015 as the base year, there is no inflation since the unit prices of milk and honey remained the same in both years.

The real GDP in 2014 would be $40.

What is GDP?

The full form of GDP is gross domestic product. In simple words, it means the total of all value added produced in an economy.

The value added intends the value of goods and services that have been produced minus the value of the goods and services wanted to produce them.

Computation of the real GDP:

From the given information, data and calculations are given in the image below:

Hence, The real GDP of the year 2014 would be $40. Taking 2015 as the base year, there is no inflation since the unit prices of milk and honey stay on the same in both years.

Therefore, option B is correct.

Learn more about GDP, refer:

https://brainly.com/question/4131508

 

   

Three months of rent were prepaid on May 1 for $7,200, but two months have now expired, leaving only one month prepaid at June 30. What is the amount of rent expense that will be recorded in the related adjusting entry dated June 30?a- $0b- $2,400c- $4,800d- $7,200

Answers

Answer:

b- $2,400

Explanation:

The computation of the amount that should be recorded is given below:

= 3 months rent ÷ number of months

= $7,200 ÷ 3 months

= $2,400

Hence, the amount of rent that should be recorded is $2,400

Therefore the option b is correct

The same should be considered

At a firm's quarterly dividend meeting held on December 5, the directors declared a $1.50 per share cash dividend to be paid to the holders of record on Monday, January 1. Before the dividend was declared, the firm's accumulated retained earnings balance and cash balance were $1,280,000 and $30,000 respectively. The firm has 10,000 shares of common stock outstanding. On January 2, the cash, dividends payable, and retained earnings accounts had balances of ________.

Answers

Answer: $15,000, $0, and $1,265,000, respectively

Explanation:

Based on the information given in the question, the total amount of dividend will be:

= Outstanding shares × Dividend

= 10000 × $1.50

= $15000

Amount of cash balance will be:

= Ending cash balance - Dividend

= $30000 - $15000

= $15000

Dividend payable will be:

= $15000 - $15000

= $0

Retained earnings will be:

= $1280000 - $15000

= $1265000

Wild Flowers Express has a debt-equity ratio of .60. The pretax cost of debt is 9 percent while the unlevered cost of capital is 14 percent. What is the cost of equity if the tax rate is 23 percent

Answers

Answer:

0.1631 ; 16.31%

Explanation:

Given:

Cost of capital = 14% = 0.14

Debt to equity ratio = 60% = 0.6

Cost of debt = 9% = 0.09

Tax rate = 23% = 0.23

Cost of equity : cost of capital + debt - to - equity ratio * (1 - tax rate) * (cost of capital - cost of debt)

Cost of equity = 0.14 + 0.60 × (1 - 0.23) × (0.14 - .09)

Cost of equity :

0.14 + 0.60 * 0.77 * 0.05

0.14 + 0.0231

= 0.1631 ; 0.1631 * 100% = 16.31%

Compton Company expects the following total sales: Month Sales March $ 37,000 April $ 27,000 May $ 21,000 June $ 32,000 The company expects 70% of its sales to be credit sales and 30% for cash. Credit sales are collected as follows: 25% in the month of sale, 75% in the month following the sale. The budgeted accounts receivable balance on May 31 is:

Answers

Answer:

$11,025

Explanation:

From May sales, Total Credit sales = $21,000*70% = $14,700

Cash Collected in May (for sales) = Total Credit sales * 25%

Cash Collected in May = $14,700*25%

Cash Collected in May = $3,675

Accounts Receivables Balance = Total Credit sales (May) - Cash Collected in May

Accounts Receivables Balance = $14,700 - $3,675

Accounts Receivables Balance = $11,025

So, the budgeted accounts receivable balance on May 31 is $11,025.

Here are the U.S. tax rates and their corresponding tax brackets based on filing status for single individuals (i.e. not corporations) If taxable income is: Then income tax equals: Not over $9,875 10% of the taxable income Over $9,875 but not over $40,125 $987.50 plus 12% of the excess over $9,875 Over $40,125 but not over $85,525 $4,617.5 plus 22% of the excess over $40,125 Over $85,525 but not over $163,300 $14,605.5 plus 24% of the excess over $85,525 Over $163,300 but not over $207,350 $33,271.5 plus 32% of the excess over $163,300 Over $207,350 but not over $518,400 $47,367.5 plus 35% of the excess over $207,350 Over $518,400 $156,235 plus 37% of the excess over $518,400 Layla's taxable income for 2019 was $182,431. How much are her federal income taxes to the nearest dollar

Answers

Answer:

Layla's federal income taxes to the nearest dollar are:

= $39,393.

Explanation:

a) Data and Calculations:

Layla's taxable income

 for 2019 =                 $182,431    Income Tax

Income tax on            (163,300) = $33,271.50

Excess of $163,300        19,131 =    $6,121.92 ($19,131 * 32%)

Total income tax payable =       $39,393.42

U.S. Tax Rates and Corresponding Tax Brackets (Single Individuals)

If taxable income is:            Then income tax equals:

Not over $9,875 10% of the taxable income Over $9,875 but not over $40,125 $987.50 plus 12% of the excess over $9,875

Over $40,125 but not over $85,525 $4,617.5 plus 22% of the excess over $40,125

Over $85,525 but not over $163,300 $14,605.5 plus 24% of the excess over $85,525

Over $163,300 but not over $207,350 $33,271.5 plus 32% of the excess over $163,300

Over $207,350 but not over $518,400 $47,367.5 plus 35% of the excess over $207,350

Over $518,400 $156,235 plus 37% of the excess over $518,400 Layla's taxable income for 2019 was $182,431

Cox (1997) has argued that the concept of the supply chain is insufficient and that it can on
be fully understood when it is mapped with a parallel value chain.

Answers

Answer:

Due to lack of practical approaches and avoidance of  normal or location-scale distributions factors, a real parallel value chain is required

Explanation:

Remaining part of  Question

Justify

Solution

According to Cox there was a difference in making theoretical decision as it takes into account only normal or location-scale distributions which implies that less money is preferred over more. Several measures such as  variance, standard deviation, expected or absolute values of deviation in financial engineering and financial risk management of a supply chain poses it to the downside risk and hence there is a need of parallel value chain

At the Santa Barbara fishing hole, people come from all around to catch fish to sell at the fish market.The total number of fish caught is F= 10x−x2 where x is the number of fishermen. Suppose it costs each person $20 a day to fish and that fish sell for $10 each at the market. At the social optimum,how much would it hurt all the other fishermen (combined) if one more person started fishing?
(a) $30
(b) $20
(c) $10
(d) $40

Answers

I think it’s A, sorry if it’s the wrong answer

Treasury Bonds are generally considered safer than Corporate bonds. Yet both types of fixed income instruments are subject to some sources of risk. Which sources of risk typically affect the price of domestic Corporate Bonds more than Treasury Bonds.

Answers

Answer: Liquidity risk and Default risk.

Explanation:

The sources of risk that affect the price of domestic Corporate Bonds more than Treasury Bonds are the liquidity risk and the default risk.

Treasury bonds are referred to as the government debt securities that typically have more than 20 years of maturity and earn periodic interest until they mature. Corporate bond is the bond that is issued by a corporation.

Corporate bonds typically offer list risk which is why they pay high yields this they've more default risk than the treasury bonds.

Under a job-order costing system, the dollar amount transferred from Work in Process to Finished Goods is the sum of the costs charged to all jobs:

Answers

Answer: completed in the period

Explanation:

Job order costing system refers to the system when small batches of the products are ordered by the customers. It is useful in knowing the cost that's used in the manufacturing of each product.

It's usually used when different products are being produced and the cost for each individual job need to be calculated. Under a job-order costing system, the dollar amount transferred from Work in Process to the finished goods will be the sum of the costs that's charged to all jobs that are completed in the period.

Advise new entrepreneurs on the char
acteristics of co-operatives

Answers

Answer:

A cooperative can be understood as a business model where there is a partnership between people with the same interests in an economic activity, not for profit, and who provide associated services.

In this voluntary society, there are its own rules and autonomy, being the voluntary and independent association, where there is the cooperation of each member and sharing of the management, of the positive and negative risks to the business. All members have economic participation and access to information and training. Interest on capital is limited and the surplus is distributed among all members.

Revenue of a segment includes A. only sales to unaffiliated customers B. Sales to unaffiliated customers and intersegment sales c. Sales to unaffiliated customers and interest revenue d. Sales to unaffiliated customers and other revenue and gains

Answers

Answer: Sales to unaffiliated customers and intersegment sales

Explanation:

A segment refers to a business component of a business which generates its own revenues.

Revenue of a segment includes the sales to unaffiliated customers and intersegment sales. Therefore, the correct option is B.

A bill was introduced into Congress last year suggesting changes to the income tax code. Congress now passed this new tax reform act in the last session and over the next few years the new laws will begin to impact the nation. This is an example of what type of policy

Answers

Answer:

Macroeconomic fiscal policy.

Explanation:

Macroeconomics can be defined as the study of behaviors, performance and factors that affect the entire economy. Hence, it focuses on aggregate phenomena such as price level, economic growth, Gross Domestic Product (GDP), inflation, unemployment and national income levels with respect to the central bank, demand or supply shocks, government policies, aggregate spending and savings.

Fiscal policy in economics refers to the use of government expenditures (spending) and revenues (taxation) in order to influence macroeconomic conditions such as Aggregate Demand (AD), inflation, and employment within a country. Fiscal policy is in relation to the Keynesian macroeconomic theory by John Maynard Keynes.

A fiscal policy affects combined demand through changes in government policies, spending and taxation which eventually impacts employment and standard of living plus consumer spending and investment.

According to the Keynesian theory, government spending or expenditures should be increased and taxes should be lowered when faced with a recession, in order to create employment and boost the buying power of consumers.

is a field of study focused on understanding, explaining, and improving attitudes of individuals and groups in organizations. a. Organizational behavior b. Values in organizations c. Management d. Strategic human approach

Answers

Answer:

i think its a. Organizational behavior

At Cool Clothes Inc., there is a total focus on providing care and satisfaction to each customer. In the major clients division, each manager is assigned three employees to supervise, whereas in the product assembly division, each manager supervises about 15 employees. The major clients division managers can be described as having _____, as opposed to _____ for the product assembly division managers.

Answers

Answer: a narrow span of control; a wide span of control

Explanation:

Based on the information given, the major clients division managers can be described as having a narrow span of control, as opposed to a wide span of control for the product assembly division managers.

The span of control simply means the number of subordinates that are under the direct control and supervised by a certain manager.

Since we are informed that while in the major clients division, every manager is assigned three employees to supervise, whereas in the product assembly division, each manager supervises about 15 employees, then product assembly division managers has a wide span of control.

g A machine costing $58,944 with a 6-year life and $55,853 depreciable cost was purchased January 1. Compute the yearly depreciation expense using straight-line depreciation. Round your answer to the nearest whole dollar.

Answers

Answer:

$9,309

Explanation:

Straight line depreciation expense = (Cost of asset - Salvage value) / useful life

DEPRECIABLE COST / USEFUL LIIFE

$55,853 / 6 = $9,309

Your grandparents would like to establish a trust fund that will pay you and your heirs $205,000 per year forever with the first payment 12 years from today. If the trust fund earns an annual return of 4 percent, how much must your grandparents deposit today?

Answers

Answer:

PV= $3,201,059.88

Explanation:

Giving the following information:

Annual cash flow= $205,000

First payment= 12 years from today

Interest rate= 4%

First, we need to calculate the value of the account 12 years from today. We need to use the following formula:

FV= Cf/ i

FV= 205,000 / 0.04

FV= $5,125,000

Now, the amount to be deposited today:

PV= FV / (1 + i)^n

PV= 5,125,000 / (1.04^12)

PV= $3,201,059.88

Even if a stock split has no information content, and even if the dividend per share adjusted for the split is not increased, there can still be a real benefit (i.e., a higher value for shareholders) from such a split, but any such benefit is probably small. True False

Answers

Answer:

True

Explanation:

Stock split is used to increase number of shares floating in the market. In this strategy current shares are increased by issuing more shares to current shareholders. This increases the number of shares which each shareholders holds while value of total shares remains the same.

A director who becomes involved in litigation because of his or her position has no right to be indemnified for the costs. a. True b. False

Answers

Answer:

b. False

Explanation:

A corporation can be defined as a corporate organization that has facilities and owns or controls assets used for the production of goods and services in at least one country other than its headquarter (home office) located in its home country.

This ultimately implies that, a corporation is a corporate organization that owns or controls its business in two or more countries.

It is considered to be one of the most complicated and expensive type of organization.

Generally, a corporation is considered to be perpetual in nature and it is a body that comprises of a group of people such as directors, shareholders etc., who act as a single entity.

One of the advantage of a corporation is that, owners have limited liability for debt to the extent to which they have invested and as such are not personally liable for some of debt owed by corporation.

Hence, a director who becomes involved in litigation because of his or her position has a right to be indemnified or reimbursed for the costs involved or incurred.

he cost to produce items is dollars. Find the marginal cost of producing the item. Interpret your answer in terms of costs. The marginal cost of producing the item is Enter your answer; The marginal cost of producing the 25^th item is $ 150 . This means that the cost of production Choose your answer; This means that the cost of production increases by about Enter your answer; by about $ 150 when we add one unit to a production level of Enter your answer; when we add one unit to a production level of _ units units.

Answers

Answer:

a. The marginal cost of producing the 25^th item is $100.

b. This means that the cost of production increase by about $100; when we add one unit to a production level of 25 units.

Explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

The cost to produce q items is C(q) = 1000 + 2q^2 dollars. Find the marginal cost of producing the 25th item. Interpret your answer in terms of costs.

The marginal cost of producing the 25^th item is $_______.  

This means that the cost of production _____ by about ________; when we add one unit to a production level of _____ units.

The explanation of the answer is now provided as follows:

a. Find the marginal cost of producing the 25th item.

Given:

C(q) = 1000+2q^2 …………… (1)

Taking the derivative of equation (1) with respect q to obtain the marginal cost function as follows:

MC(q) = C’(q)= 4q ………………….. (2)

Substituting q = 25 into equation (2), we obtain the marginal cost (MC) of producing the 25th item as follows:

MC(25) = 4 * 25 = $100

Therefore, the marginal cost of producing the 25^th item is $100.  

b. Interpret your answer in terms of costs.

This means that the cost of production increase by about $100; when we add one unit to a production level of 25 units.

Other Questions
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