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vekshin1
3 years ago
14

An estate provides a perpetuity with payments of X at the end of each year. Seth, Susan, and Lori share the perpetuity such that

Seth receives the payments of X for the first n years and Susan receives the payments of X for the next m years, after which Lori receives all the remaining payments of X. Which of the following represents the difference between the present value of Seth's and Susan's payments using a constant rate of interest?
a. X[an-vnam]
b. X[¨an-vn¨am]
c. X[an-vn+1am]
d. X[an-vn-1am]
e. X[van-vn+1am]
Business
1 answer:
DENIUS [597]3 years ago
8 0

Answer: a. X[a_{n} -v^{n} a_{m} ]

Explanation:

The Present Value of the perpetuity for Seth is denoted by;

= X * a_{n} because Seth receives it for n years.

The Present Value of the perpetuity for Susan is denoted by;

=  Xv^{n} * a_{m} because it is the value after n periods multiplied by the payments received for m periods.

The result is;

= X * a_{n}  - Xv^{n} * a_{m}

= X[a_{n} -v^{n} a_{m} ]

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2 years ago
Exotic Stuff Company and First Pier, Inc., form a business organization to engage in importing and exporting. Its property is he
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B. Joint Stock Company

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5 0
4 years ago
Federal Semiconductors issued 11% bonds, dated January 1, with a face amount of $830 million on January 1, 2021. The bonds sold
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Answer:

discount on bonds payable 18,383,020.48 debit

other comprehensive income 18,383,020.48 credit

--to adjust Bonds at 12/31/2021 market value --

other comprehensive income  4.739.000‬ debit

    discount on bonds payable   4.739.000‬ credit

--to adjust Bonds at 12/31/2022 market value --

Explanation:

We solve for the book value at year-end using effective rate

<u>First year:</u>

<u>First payment</u>

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Amortization              403,472.08

<u>Second Payment</u>

830,000,000 x 5.5% =                         45,650,000

(767,557,868 + 403,472.08)  x 6.0% = 46,077,680.4

Amortization               427680.4

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767,557,868 + 403,472.08 + 427,680.40 = 768,389,020.48

We need to recognize a deferred gain for the difference between these and the 750,000,000 market value at December 31th

which is $ 18,383,020.48 as these as not been realized it will be part of other comprehensive income

We will increase the discount to adjust the bonds payable account net balance.

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We repeat the process

<em>First Payment:</em>

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Interest expense 750,000,000 x 6% = 45,000,000

Amortization  650000

Carrying value 750,000,000 + 650,000 = 750,650,000

<em>Second Payment:</em>

830,000,000 x 5.5% = 45,650,000

750,650,000 x 6% = 45,039,000

Amortization 611000

Carrying Value 750,650,000 + 611,000 = 751,261,000

Wer now compare this with the 756,000,000

as now the debt of the company has increased we are going to decrease the discounttand recognize a deferred loss through other comprehensive income as it wasn't realized

756,000,000 - 751,261,000 = 4.739.000‬

7 0
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