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Digiron [165]
3 years ago
8

You have an annuity which pays $1,200 every two years. The first payment is two years from now and the last payment is ten years

from now. You can trade that annuity for another annuity of equivalent present value, which pays $180 per quarter starting today. The interest rate for both annuities is 4% per annum convertible quarterly. If you took the second annuity, how many quarterly payments would you receive? The last payment may be less than $180 but not more than $180.
Business
1 answer:
kompoz [17]3 years ago
8 0

Answer:

31 payments

Explanation:

the present value of the first annuity is:

$1,200 / (1 + 1%)⁸ + $1,200 / (1 + 1%)¹⁶ + $1,200 / (1 + 1%)²⁴ + $1,200 / (1 + 1%)³² + $1,200 / (1 + 1%)⁴⁰ = $1,108.18 + $1,023.39 + $945.08 + $872.76 + $805.98 = $4,755.39

to determine the length of the second annuity:

PV = annuity payment x annuity factor

annuity factor = PV / annuity payment = $4,755.39 / $180 = 26.4188333

using an annuity table we must look for a present value annuity factor that corresponds to 1% interest rate and is close to 26.4188333

the annuity factor is between 30 and 31 payments. Since the final payment has to be less or equal to $180, we have to choose 31 payments.

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7 0
2 years ago
Sometimes one observes that the price of a company's stock falls after the announcement of favorable earnings. This phenomenon i
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3 0
1 year ago
Sheffield Corp. purchased machinery for $381,150 on January 1, 2018. It is estimated that it will have a useful life of 10 years
aniked [119]

Answer:

Accumulated depreciation balance on 31 December 2019 = $73,326

Explanation:

Total Cost of the machine = $381,150

Salvage value = $18,150

Therefore value to be depreciated = $381,150 - $18,150 = $363,000

Life of asset = 10 years.

Units to be produced = 290,400

Working hours = 25,000

Under the units of output activity method the asset shall be depreciated based on output, but here the output of machinery is 25,000 hours in its life thus, depreciation shall be charged based on number of hours and not on units.

Therefore accumulated depreciation on December 31 2019 shall be based on total hours of 2018 and 2019

= 2,650 + 2,400 = 5,050 hours

Depreciation = \frac{363,000}{25,000} \times 5,050 = $73,326

Accumulated depreciation balance on 31 December 2019 = $73,326

5 0
3 years ago
When a human resource staff at Big Bend Inc. reviewed bids for running their employee assistance program, one company stood out
hodyreva [135]

Answer:

E. Being influenced by initial impressions

Explanation:

It is well known and practically proven that initial or first impressions have long-lasting effects. This is clearly seen in the scenario presented before us. The managers at Big Bend Inc. were thoroughly impressed by the wonderful presentation of the company such that even when the company's gross incompetence was uncovered, the managers opted to still choose the aforesaid company

The managers decision was not influenced by data, because the data clearly showed the company's incompetency but yet they were chosen. Hence, <u>option A is wrong</u>

The managers decision was not perpetuating the status quo, because this company had a bad reputation but they chose them nonetheless. Hence, <u>option B is wrong</u>

The managers were not seeking to defend prior decisions, their decision was based solely on the wonderful presentation. Hence, <u>option C is wrong</u>

The managers were not justifying past decisions, their decision was based solely on the wonderful presentation. Hence, <u>option D is wrong</u>

The managers decision was based solely on the wonderful presentation. Hence, the error made by these managers is apparent. Hence, <u>option E is correct</u>

6 0
3 years ago
Graylon, Inc., based in Washington, exports products to a German firm and will receive payment of €200,000 in three months. On J
Fed [463]

Answer:

Graylon will receive $220,000 for the euros

Explanation:

The computation of the Graylon received amount is shown below:

= Payment received × 3-month forward rate

= €200,000 × $1.10

= $220,000

Since the Graylon received the payment in three months so the rate which applies will also of 3 months. That's why we use the 3-month forward rate.  

Ignore all other rates which are given in the question

6 0
3 years ago
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