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Anit [1.1K]
3 years ago
10

Jack and jill have just had their first child. if college is expected to cost ​$180 comma 000180,000 per year in 1818 ​years, ho

w much should the couple begin depositing annually at the end of each year to accumulate enough funds to pay the first​ year's tuition at the beginning of the 19th​ year? assume that they can earn an annual rate of return of 66​% on their investment.
Business
1 answer:
oksano4ka [1.4K]3 years ago
8 0
Given:
tuition: 180,000 per year
period to save: 18 years
annual rate of return : 6%

FV = PV * (1+r)^t
180,000 = PV * (1 + 0.06)¹⁸
180,000 = PV * (1.06)¹⁸
PV = 180,000 / (1.06)¹⁸ = 180,000 / 2.854 = 63,069.38

Jack and Jill will have to invest 63,069.38 in the first year to have a total of 180,000 after 18 years. 

Using Future Value Annuity formula:

FV of Annuity = P [{(1+r)^n - 1} / r]

180,000 = P [{(1.06)¹⁸ - 1} / 0.06]
180,000 = P (30.906)
P = 180,000 / 30.906
P = 5,824.11

Jack and Jill will have to deposit 5,824.11 every end of the year for the total to reach 180,000 after 18 years.
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Some of the transactions of Torres Company during August are listed below. Torres uses the periodic inventory method.
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Answer:

Purchase  12000 debit

Accounts Payable  12000 credit

--to record purchase--    

Accounts Payable   1200 debit

Returns&Allowance       1200 credit

--to record returned goods--

Purchase  16000 debit

Accounts Payable  16000 credit

--to record purchase--    

Purchase          20000 debit

Accounts Payable  20000 credit

--to record purchase--  

Account Payable    16,000 debit

     Purchase Discount      160 credit

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-to record payment within--

SECOND METHOD:

Purchase  11,760 debit

Accounts Payable  11,760 credit

--to record purchase--    

Accounts Payable   1,176 debit

Returns&Allowance       1,176 credit

--to record returned goods--

Purchase  15,840 debit

Accounts Payable  15,840 credit

--to record purchase--    

Purchase          19,600 debit

Accounts Payable  19,600 credit

--to record purchase--  

Account Payable    16,000 debit

     Cash                        15,840 credit

-to record payment within--

interst expense      216 debit

  account payable         216 credit

--to record interest incurred--

Explanation:

As we use periodic system we calculate the inventory and COGS at the end of the period so we use purchase and returns accounts rather than adjusting inventories in every transactions.

In the second method we use itnerest expense when the discount is loss.

<u><em>interest incurred for the period:</em></u>

(12,000 - 1,200) x 2% = 216

The secodn purchase at the end of the monthcan be paid within discount period therefore, we do not recognize interest expense yet.

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