Wan purchased a 7-year Treasury bond with a coupon rate ofj2 = 4.5% p.a. and a face value of $100 that matures atpar and is subject to a 30% tax on interest and capital gain. Thepurchase price was $94.230.
a. Use the approximate bond yield formula to estimate the netyield rate. Give your answer in j2 form, rounded to 3decimal places.
b. Use linear interpolation to calculate the net yield rate.Give your answer in j2 form, rounded to 3 decimalplaces. Hint: 1.9% per half year and 2% per half year are the lowerbound and the upper bound for the net yield rate.
c. Recalculate the bond price if the net yield rate isj2 = 4.3% p.a. and all tax payments (interest taxpayments and capital gain tax payment) are delayed by half year.Round the result to 3 decimal places.
d. Wan decides to hold this bond to maturity. Over the sevenyears the before-tax reinvestment rates he earned are shown intable 1. Calculate Wan's total realised compound yield rate if hehas received a tax exemption and so does not need pay the taxes forthis bond. Assume that Wan purchased this bond at a yield rate ofj2 = 4.3% p.a. and the purchase price was $101.20. Giveyour answer in j2 form, rounded to 2 decimal places.
Annual reinvestment rates as below:
Year 1 - Year 2 | j2 = 4.3% p.a. |
Year 3 - Year 7 | j2 = 4.7% p.a. |