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3 years ago

bank pays interest quarterly with an EAR of 9%. What is the periodic interest rate applicable per quarter

Business

1 answer:

Vika [28.1K]3 years ago

7 0

Answer:

2.18%

Explanation:

Effective interest rate = (1+i/m)^n - 1

i is stated as interest rate

m is the compounding frequency

Here, the compounding is quarterly and the effective interest rate is 8%

Since one year is equal to 4 quarter, the value of m is equals to 4

Effective interest rate = (1 + i/4)^4 - 1

9% = (1 + i/4)^4 - 1

0.09 + 1 = (1 + i/4)^4

(1.09)^1/4 = 1 + i/4

1 + i/4 = 1.02178

i/4 = 1.02178 - 1

i/4 = 0.2178

i/4 = 2.18%

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a company bought a piece of equipment for A200 and expects to use it for eight years. The company that plans to

chubhunter [2.5K]

Answer:

The correct option b. $2,567.

Explanation:

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

A company bought a piece of equipment for $49,200 and expects to use it for eight years. The company then plans to sell it for $4,000. The company has already recorded depreciation of $42,632.60. Using the double-declining-balance method, what is the company's annual depreciation expense for the upcoming year? (Round your answer to the nearest whole dollar amount.)

a. $11,300.

b. $2,567.

c. $19,200.

d. $1,642.

The explanation to the answer is now given as follows:

Note: See the attached excel file for the calculation of the annual depreciation expenses.

Double declining depreciation method is an accelerated depreciation technique due to the fact the depreciation expenses are charged faster under it than under straight-line depreciation method.

The depreciation of double declining method is calculated by by multiplying the rate of straight-line depreciation method by 2.

From the question, the already recorded depreciation of $42,632.60 is the accumulated depreciation expenses for the 7th year.

Since the upcoming year is the 8th year which is the last year, the depreciation expense for it can be calculated as by adjusting for the residual value of $4,000 follows:

Equipment cost = $49,200

Accumulated Depreciation = $42,632.60

Residual value = $4,000

Estimated useful life = 8 years

Therefore, we have:

Straight line method depreciation rate = 1 / Estimated useful life = 1 / 8 = 0.125, or 12.50%

Double declining depreciation rate = Straight line method depreciation rate * 2 = 12.50% * 2 = 25%

Beginning book value of the equipment in the upcoming year or in the 8th year = Equipment cost - Accumulated Depreciation = $49,200 - $42,632.60 = $6,567.40

Annual depreciation expense for the upcoming year or for the 8th year = Beginning book value of the equipment - Residual value = $6,567.40 - $4,000 = $2,567

Therefore, the correct option b. $2,567.

Download xlsx

7 0

2 years ago

On February 24, 2020, Allison's building, with an adjusted basis of $2,986,000 (and used in her trade or business), is destroyed

astra-53 [7]

Answer:

As a calendar-year taxpayer, Allison must make the new investment by December 31, 2020 to qualify for the nonrecognition election.

Explanation:

a) Data and Calculations:

Adjusted basis of building = $2,986,000

Insurance reimbursement = $3,881,800

Gain from loss = $895,800 ($3,881,800 - $2,986,000)

Investment in new building = $3,493,620

Purchase of stock = $388,180 ($3,881,800 - $3,493,620)

b) Allison is expected to make the election for the nonrecognition of the gain from loss in his Federal Tax return in the taxable year in which the gain with respect to the loss of the building is realized. The return must set forth the computation of the gain and other required details.

6 0

2 years ago

If over a short time there is an increase in the number of people retired and a decrease in the number of people working, then p

lesantik [10]

Answer:

a. rises but real GDP per person falls

Explanation:

Gross domestic product is the total monetary value of output that is produced by an economy in a given period.

GDP increases as the income increases. This is because people have more money to spend on goods and services.

So if people are retiring they will earn pension that will be spent. This increases productivity of the economy.

However since the number of people working is reducing there will be a reduction in real GDP per person. Only few people are producing and output will be allocated to a large population many of whom are not working.

6 0

3 years ago

The substitution bias in the consumer price index refers to the idea that consumers ______ the quantity of products they buy in

dsp73

Answer:

change; over-estimates

Explanation:

Substitution bias refers to a tendency in which economic index numbers don't include information about the changes in consumer spending when they switch expensive products for cheaper ones or buy less units as prices change. This changes are not reflected in the market basket from which the CPI is built which can cause inflation rates to be over-estimated.

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2 years ago

Are these competitive markets?

ruslelena [56]

I believe it’s A I hope this helps!

5 0

3 years ago

bank pays interest quarterly with an EAR of 9​%. What is the periodic interest rate applicable per quarter​

bank pays interest quarterly with an EAR of 9%. What is the periodic interest rate applicable per quarter