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kvasek [131]
2 years ago
12

Marla would like to collect $225,000 to buy a house in 12 years. She thinks she can save money in a money-market account earning

2% interest per year. She would like to deposit an amount Q today to open the account, make a deposit every year, and make the last deposit at the end of Year 12 into the account. She also believes that she can increase the value of the deposit that she makes into the account every year by 6% above what she deposited the previous year, starting with the amount Q. What is the value of Q with which she will have to open the account to make this happen?

Business
1 answer:
Ymorist [56]2 years ago
6 0

Answer:

The value of Q = $10,723

Explanation:

Please find attached.

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On January 1, 2017, Ayayai Company purchased 8% bonds having a maturity value of $200,000, for $216,849.76. The bonds provide th
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Answer:

1. 1/01/2017

Dr Bonds receivable 200,000

Dr Premium on bonds receivable 16,849.76

(216,849.76-200,000)

Cr Cash 216,849.76

2. Carrying amount of bonds

1/01/2017 216,849.76

1/01/2018 213,859.76

1/01/2019 210,691.35

1/01/2020 207,332.83

1/01/2021 203,772.8

1/01/2022 200,000

3. 31/12/2017

Dr Interest receivable 16,000

Cr Interest revenue 13,010

Cr Premium on bonds receivable 2,990

Explanation:

1. Preparation of the journal entry at the date of the bond purchase.

1/01/2017

Dr Bonds receivable 200,000

Dr Premium on bonds receivable 16,849.76

(216,849.76-200,000)

Cr Cash 216,849.76

2. Preparation of a bond amortization schedule.

Date Cash received Interest revenue Premium amortized Carrying amount of bonds

1/01/2017 216,849.76

1/01/2018 16,000 13,010 2,990 213,859.76

1/01/2019 16,000 12,831.59 3,168.41 210,691.35

1/01/2020 16,000 12,641.48 3,358.52 207,332.83

1/01/2021 16,000 12,439.97 3,560.03 203,772.8

1/01/2022 16,000 12,227.20 3,772.80 200,000

Workings;

1/01/2018

($200,000*8%)=16,000

($216,849.76*6%)=13,010

(16,000-13,010)=2,990

(216,849.76-2,990)=213,859.76

1/01/2019

($200,000*8%)=16,000

(213,859.76*6%)=12,831.59

(16,000-12,831.59)=3,168.41

(213,859.76-3,168.41)=210,691.35

1/01/2020

($200,000*8%)=16,000

(210,691.35*6%)=12,641.48

(16,000-12,641.48)=3,358.52

(210,691.35-3,358.52)=207,332.83

3.Preparation of the journal entry to record the interest revenue and the amortization on December 31, 2017.

31/12/2017

Dr Interest receivable 16,000

($200,000*8%)

Cr Interest revenue 13,010

($216,849.76*6%)

Cr Premium on bonds receivable 2,990

(16,000-13,010)

3 0
3 years ago
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