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Anna [14]
3 years ago
14

National Orthopedics Co. issued 8% bonds, dated January 1, with a face amount of $550,000 on January 1, 2021. The bonds mature o

n December 31, 2024 (4 years). For bonds of similar risk and maturity the market yield was 10%. Interest is paid semiannually on June 30 and December 31. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)
Required:
1. Determine the price of the bonds at January 1, 2021.
2. Prepare the journal entry to record their issuance by National on January 1, 2021.
3. Prepare an amortization schedule that determines interest at the effective rate each period.
4. Prepare the journal entry to record interest on June 30, 2021.
5. Prepare the appropriate journal entries at maturity on December 31, 2024.
Business
1 answer:
loris [4]3 years ago
4 0

Answer:

1) the price of each bond:

PV of face value = $1,000 / 1.05⁸ = $676.84

PV of coupon payments = $40 x 6.4632 (PV annuity factor, 5%, 8 periods) = $258.53

market price per coupon = $935.37

2) journal entry to record issuance of the bonds:

January 1, 2021, bonds issued at a discount

Dr Cash 514,453.50

Dr Discount on bonds payable 35,546.50

    Cr Bonds payable 550,000

3) I used an excel spreadsheet    

4) June 30, 2021, first coupon payment

Dr Interest expense 25,722.68

    Cr Cash 22,000

    Cr Discount on bonds payable 3,722.68

5) December 31, 2024, last coupon payment

Dr Interest expense 27,236.45

    Cr Cash 22,000

    Cr Discount on bonds payable 5,236.45

December 31, 2024, bonds are redeemed

Dr Bonds payable 550,000

    Cr Cash 550,000

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$16,281$⁢16,281 is invested, part at 15%15% and the rest at 13%13%. If the interest earned from the amount invested at 15%15% ex
aleksandr82 [10.1K]

Answer:

Ans. The amount invested at 13% was $1,595.97 and $14,685.03 were invested at 15%

Explanation:

Hi, you can solve this by using 2 equations, so let X be the portion of the money invested at 15% and Y be the amount invested at 13%. So the equation for the whole amount is:

X+Y=16,281

Now, the problem says that the money that you earn by investing at 15% exceeds the money received as interest in your investment of 13% by $1,995.27, this leads us to the second equation.

0.15X=0.13Y+1995.27

Now, to make it a little more friendly, we just have to go ahead and divide everything by 0.15, so we get.

X=0.8667Y+13,301.8

Now, in our first equation, we substitute X fo 0.8867(Y)+13,301.8 and we will see this.

0.8667Y+13,301.8+Y=16,281

Now, we solve for Y

1.8667Y=16,281-13,301.8

Y=\frac{2,979.2}{1.8667} =1,595.97

So the money invested at 13% was $1,595.97 therefore, the money invested at 15% was $16,281 - $1,595.97 = $14,685.03

And we can check this results like this. The money invested at 15% will return an amount of:

14,685.03*0.15=2,202.75

And the money invested at 13% will return

1,595.97*0.13=207.48

Substracting, we would found that the difference is:

2,202.75-207.48=1,995.27

Best of luck.

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