Question

Harrison owns a convertible bond with an 6% annual coupon and a $1,000 face value. It matures in 15 years and can be exchanged for 40 shares of Ford stock, which is trading at $24 per share. Similar nonconvertible bonds are priced to yield 6.5%. The value of the convertible bond is at least __________?

Answer 1

$953

Step-by-step explanation:

According IFRS the equity and Liability portion of a bond should be recorded separately at the time of bond Issuance. The Liability portion can be calculated current value of the similar non convertible bonds and the difference between the Present value of cash flows and total proceeds from bond is the equity value.

Convertible Bond are value at the present value of their cash flows.

Use following formula to calculate the value of the bond.

Value of the Bond = C x [ ( 1 - ( 1 + r )^-n ) / r ] + [ F / ( 1 + r )^n ]

Value of the Bond = ($1,000 x 6%) x [ ( 1 - ( 1 + 6.5% )^-15 ) / 6.5% ] + [ $1,000 / ( 1 + 6.5% )^15 ]

Value of the Bond = $952.99