Question

Cailin Corp issues 10,000 callable bonds with same coupon rate and years to maturity in part A, where coupon rate is 8%, maturity is 10 years, and the yield is 5%. The grace period for the call is 5 years and the call price of this bond is $1,000. What would be the current price of this callable bond

Answer 1

Answer:

$955.37 per bond

Explanation:

Callable bonds are generally worth less than normal bonds since the call option decreases the value of the bondholder while increases the value of the issuer. Bonds will only be called if the interest rate falls below a certain level and calling them is cheaper (form the issuer's point of view) than keep paying high interest rates.

market price of callable bonds:

• PV of face value = $1,000 / (1 + 5%)¹⁰ = $613.91
• PV of coupon payments = $80 x 7.7217 (PV annuity factor, 5%, 10 periods) = $617.74
• Price of call option = [(1 + 5%)⁵ x $1,000] - $1,000 = $1,276.28 - $1,000 = $276.28

current market price of callable bonds = $613.91 + $617.74 - $276.28 = $955.37