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Lisa [10]
2 years ago
8

In 2009, Harold deposited $50,000 in an account paying 6% annual interest. Harold wants to make five equal annual withdrawals fr

om the account starting with the first withdrawal in 2020. Further, Harold wants to have exactly $100,000 left in the account in 2026. How large can each of the annual withdrawals be
Business
2 answers:
kipiarov [429]2 years ago
8 0

Answer:

Yearly withdrawals: $ 5,796.954

Explanation:

Future value in 2020:

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

Principal 50,000.00

time 11.00

rate 0.06000

50000 \: (1+ 0.06)^{11} = Amount

Amount 94,914.93

Present Value of the 100,000 dollar in 2026 at 2020:

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

Maturity  $100,000.00

time  6.00

rate  0.06000

\frac{100000}{(1 + 0.06)^{6} } = PV  

PV   70,496.0540

<u><em>Amount available for the withdrawals:</em></u>

94,914.93 - 70,496.05 = 24.418,88‬

Annuity of 5 years that is possible with the available amount:

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

PV 24,418.88

time 5

rate 0.06

24418.88 \div \frac{1-(1+0.06)^{-5} }{0.06} = C\\

C  $ 5,796.954

denpristay [2]2 years ago
5 0

Answer:

Present value (PV) = 50,000

Future value (FV) = X

Rate of Interest (R) = 6%

No. of years (N) = 17

Balance Remain at the end of 17 years is 100,000

Thus, the Computation is as follows

FV = PV*((1+R/100)^N)/(1+R/100)  

FV= 50,000*((1+6/100)^17) / (1+6/100)

FV= 50,000*((1.06)^17) / 1.06

FV= 50000*2.7/1.06

FV= 135,000/1.06

FV = $127,358.49

Amount is required in the account = $ 100,000  

As, the total amount of 5 withdrawals ($127,358.49 - $100,000) = $27,358.49

The equal amount of Annual Withdrawal (Total Withdrawal / 5) = $5,468.82

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Answer: Capital gain = $10,000 ; Ordinary income = $25,000

Explanation:

Here is the complete question:

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Pamela, a 1/3 partner, has an adjusted basis of $100,000 for her partnership interest. If Pamela sells her entire partnership interest to Emma for $135,000 cash, how much capital gain and ordinary income must Pamela recognize from the sale?

The following can be calculated based on the question above:

Pamela's share of the unrealized receivables will be the ordinary income which will be the unrealized receivables of $75000 which is then multiplied by 1/3 which is the interest. This will be:

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Complete the following sentence. When the long run average cost (LRAC) curve has a positive slope, it implies there are:
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Answer:

A. $-2,250

B. The firm should continue to operate in the short run because price is greater than average variable cost

C.The firm should exit in the long run because it is making losses

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