Answer:
The market value of CYTK bonds is $1,116.69.
Step-by-step explanation:
This can be calculated as follows:
Annual coupon = $1000 × 12% = $120
Annual coupon discount factor based ordinary annuity = ((1-(1/(1 + r))^n)/r)
Where;
r = rate of return of equivalent bond = 9%, or 0.09
n = number of years to maturity = 5
Therefore, we have
Annual coupon discount factor = ((1-(1/(1.09))^5)/0.09) = 3.88965126335172
PV of coupon = $120 × 3.88965126335172 = $466.76
PV of the face value of the bond = Face value ÷ (1 + r)^n = 1,000 ÷ (1 + 0.09)^5 = $649.93
Therefore, we have:
Market value of CYTK bonds = PV of coupon + PV of the face value of the bond = $466.76 + $649.93 = $1,116.69
Therefore, the market value of CYTK bonds is $1,116.69.