Henry is planning to purchase a Treasury bond with a coupon rate of 2.57% and face value of $100. The maturity date of the bond is 15 March 2033.

(a) If Henry purchased this bond on 4 March 2020, what is his purchase price (rounded to four decimal places)? Assume a yield rate of 3.12% p.a. compounded half-yearly.

a.95.3549 b.94.0711 c.95.3535 d.95.54

(b) If Henry purchased this bond on 4 March 2020, what is his purchase price (rounded to four decimal places)? Assume a yield rate of 3.12% p.a. compounded half-yearly. Henry needs to pay 29.8% on coupon payment as tax payment and tax are paid immediately.

a.85.9456 b.86.8454 c.87.2863 d.86.8468

(c) If Henry purchased this bond on 4 March 2020, what is his purchase price (rounded to four decimal places)? Assume a yield rate of 3.12% p.a. compounded half-yearly. Henry needs to pay 29.8% on coupon payment and capital gain as tax payment. Assume that all tax payments are paid immediately.

a.66.9392 b.83.5775 c.82.4522 d.95.3171

(d) If Henry purchased this bond on 4 March 2020, what is his purchase price (rounded to four decimal places)? Assume a yield rate of 3.12% p.a. compounded half-yearly. Henry needs to pay 29.8% on coupon payment and capital gain as tax payment. Assume that all tax payments are delayed by half year.

a.67.3756 b.95.3179 c.82.6742 d.83.8025