Answer:
$9,124.94
Step-by-step explanation:
the clean price of the bond two months ago was $5,640.
Currently, interest rate have changed and the price of the bond has changed:
the semiannual yield is 4%, that means that the bimonthly yield = 1.04 = (1 + r)³
1 + r = 1.0132
r = 0.0132
the current price of the bond:
PV of face value = $10,000 / (1 + 0.0132)²⁰ = $7,693.01
PV of coupon payments = ($300 x {[1 - (1 + 0.04)⁻⁶] / 0.04}) / (1 + 0.0132)² = $1,572.64 / (1 + 0.0132)² = $1,531.93
minus accrued interests (dirty price) = $300 x 1/3 = $100
Market value of bond = $9,124.94