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Natalija [7]
3 years ago
5

Miguel, a recent​ 22-year old college​ graduate, wants to retire a millionaire. How much will he need to set aside annually to a

chieve his​ goal, assuming he plans to retire at 65 and he can earn a 10​% annual return on his​ investment?
Business
1 answer:
olga55 [171]3 years ago
3 0

Answer

Miguel must set aside $62,745 annually

Explanation

N = Number of years till Miguel would retire = 43 years

FV = Future Value = $1,000,000

r = Interest rate = 10%

PMT = Annual payments (at the ending of the year) = ?? The question asks us to calculate this

We would use the future value ordinary annuity formula to calculate PMT

FV = PMT [\frac{(1+r )^{N} -1}{r} ]

1000000 = PMT [\frac{(1+0.10 )^{10} -1}{0.10} ]

PMT ≅ $62,745

Miguel must set aside $62,745 annually

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3. Assuming total cost savings fall short of target, the journal entry on June 30 to record payment of the penalty.

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Possible Price -------------------------------Possibility------------Expected Amount

$130,000 ($20,000*6+$10,000) ------80% ------- --------------$104,000 (80% * $130,000)

$110,000 ($20,000*6-$10,000) --------20% -----------------------$22,000 (20% * $110,000)

Expected value--------------------------------------------------------------$126,000 ($104,000 + $22,000)

Accounts ------------------------Debit------------Credit

Cash -------------------------------$20,000 (Debit)

Bonus receivable----------------$1,000 (Debit)

Service revenue --------------------------------- $21,000 ($126,000/6)(Credit)

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Accounts --------------Debit--------------------------Credit

Cash --------------------- $10,000 (Debit)

Bonus receivable-------------------------------------$6,000 (Credit) ($1000 * 6)

Service revenue ------------------------------------- $4,000 (Credit)

3. If total cost savings fall short of target and record the entry on June 30 for payment of the penalty.

Accounts --------------Debit--------------------------Credit

Service Revenue ---------------- $16,000 (Debit)

Bonus receivable-------------------------------------$6,000 (Credit) ($126,000 / 6)

Cash ------------------------------------- $4,000 (Credit)

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