Question

Barry’s Steroids Company has $1,000 par value bonds outstanding at 13 percent interest. The bonds will mature in 30 years. If the percent yield to maturity is 11 percent, what percent of the total bond value does the repayment of principal represent? Assume interest payments are annual. Use Appendix B and Appendix D for an approximate answer but calculate your final answer using the formula and financial calculator methods. (Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places.)

Answer 1

Answer:

Total Present Value is ($1130.194 + $43.7) =   $1173.894

Explanation:

11 percent yield to maturity

TO CALCULATE: Present Value of Interest Payments

PV_A = A × PVIFA (n = 30, i = 11%)               Appendix D

 where A  =  13% of 1000 = 130

from PVIFA table , for n = 30 and i = 11%, PVIFA value is 8.6938

PV_A = $130 × 8.6938 = $1130.194

TO CALCULATE : Present Value of Principal Payment

PV = FV × PVIF (n = 30, i = 11%)          

from PVIF table , for n = 30 and i = 11%, PVIF value is 0.0437

PV = $1,000 × 0.0437 = $43.7

From above calculation we have following conclusion

Present Value of Interest Payments is  $1130.194

Present Value of Principal Payment is   $43.7

therefore Total Present Value is ($1130.194 + $43.7) =   $1173.894