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Alla [95]
3 years ago
12

Pearsall Company's defined benefit pension plan had a PBO of $268,000 on January 1, 2021. During 2021, pension benefits paid wer

e $47,000. The discount rate for the plan for this year was 10%. Service cost for 2021 was $86,000. Plan assets (fair value) increased during the year by $54,000. The amount of the PBO at December 31, 2021, was:
Business
1 answer:
Temka [501]3 years ago
3 0

The amount of the PBO at December 31, 2021, was $333800

<u>Explanation:</u>

The amount of PBO at december 31st is calculated as follows:

PBO on jan 1, 2021 = $268000

add: Service cost = $86000

add: interest = $26800

less: pension benefits that have been paid = $47000

now, we have to solve the above calculation

we get, PBO at dev 31 = $333800

Note: interest is calculated by multiplying the PBO amount on Jan 1,2021 with the rate of interest given.

Thus, $268000 multiply 10% = $26800

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Answer:

Explanation:

Annual worth: this will be the annuity payment equivalent to all the cashflow of the investment. Thus the PMT of the net present value

Cash Investment at F0: <em>230,000/2 = 115,000</em>

present value of 7,500 salvage value:

\frac{Maturity}{(1 + rate)^{time} } = PV  

Maturity  7,500.00

time   7 years

MARR: 10% = 0.1

\frac{7500}{(1 + 0.1)^{7} } = PV  

PV  <em> 3,848.69 </em>

<u>Then, we need to calculate the present value of the loan discounted at 10%</u>

half the investment is finance: 230,000 / 2 = <em>115,000</em>

Then, this capitalize 2 year at 8% before the first payment:

Principal \: (1+ r)^{time} = Amount

Principal 115,000.00

time 2 year

MARR: 10% = 0.08000

115000 \: (1+ 0.08)^{2} = Amount

Amount 134,136.00

Now we need to discount this loan at 10% which is our rate of return:

\frac{Maturity}{(1 + rate)^{time} } = PV  

Maturity  134,136.00

time   2.00

MARR: 10% = 0.1

\frac{134136}{(1 + 0.1)^{2} } = PV  

PV   <em>110,856.20 </em>

Finally: we add this values to get the resent worth:

<em>115,000 +  110,856.20 - 3,848.69 = </em><em>222,007.51</em>

<em />

Last step, we calculate the PMT of the present worth:

PV \div \frac{1-(1+r)^{-time} }{rate} = C\\

PV 222,007.51

time 7 years

MARR: 10% = 0.1

222007.51 \div \frac{1-(1+0.1)^{-7} }{0.1} = C\\

C  $ 45,601.564

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Jerry has a contract with ABC Insurance that writes what he is allowed to so which means that his powers are expressly given.

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