There is a bond that has a quoted price of 95.859 and a par value of $2,000. The coupon rate is 6.57 percent and the bond matures in 15 years. If the bond makes semiannual coupon payments, what is the effective annual interest rate?
7.14
3.65
3.51
6.43
n = 30 | ||||
Par value | 2000 | |||
Price (2000*95.859%) | 1917.18 | |||
Semi annual interest (2000*6.57%*6/12) | 65.7 | |||
Annuity PVF for 30 periods | 18.36902 | |||
PVF fr 30th period at | 0.355247 | |||
Present value of interest | 1206.845 | |||
Present value of maturity value | 710.494 | |||
Price of bonds | 1917.339 | |||
Semi annual interest = 3.51% | ||||
Annual effect Interestt = (1.0351)^2 - 1 = 7.14% | ||||
Answer is 7.14% | ||||
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