Given:
Face value : $50,000
state rate : 10%
term : 5 years, semi-annual
market rate : 12%
Coupon payments:
50,000 * 10% = 5,000 annual
5,000 / 2 = 2,500 semi - annual
Bond price = Value = (Present value of coupons) + (Present value of face)
Value = (2500/0.06) [ 1- (1.06)⁻¹⁰) ] + (50000 / 1.06¹⁰ )= $46, 320