Answer:
1. $7,100,000
2. $5,694,713
3. 20 years
4. Effective interest method
5. 6%
6. 8%
7. $8,520,000
8. $9,925,287
Explanation:
1. Based on the information given the FACE AMOUNT of the bonds will be the Ending outstanding balance of $7,100,000
Therefore the face amount of the bonds is $7,100,000
2. Based on the information given the INITIAL SELLING PRICE of the bonds will be the beginning Outstanding balance of $5,694,713
Therefore Initial Selling Price of the bonds is $5,694,713
3. Calculation to determine the term to maturity in years
Term to maturity=40 years/2 (Semi annually)
Term to maturity=20 years
Therefore the term to maturity in years is 40 years
4. Interest is determined by EFFECTIVE INTEREST METHOD approach
5. Calculation to determine the stated annual interest rate
Annual interest rate=$213,000/$7,100,000*2
Annual interest rate=6%
Therefore the stated annual interest rate is 6%
6. Calculation to determine effective annual interest rate
Effective Annual interest rate=$227,789/$5,694,713*2
Effective Annual interest rate=8%
Therefore effective annual interest rate is 8%
7. Calculation to determine the total cash interest paid over the term to maturity
Total cash interest paid=$213,000*40
Total cash interest paid=$8,520,000
Therefore the total cash interest paid over the term to maturity is $8,520,000
8. Calculation to determine the total effective interest expense recorded over the term to maturity
Effective interest expense=$8,520,000+($7,100,000-$5,694,713)
Effective interest expense=$8,520,000+$1,405,287
Effective interest expense=$9,925,287
Therefore the total effective interest expense recorded over the term to maturity is $9,925,287
