Sean Thornton has invested in a convertible bond issued by Cohan Enterprises. The conversion ratio is 20. The market price of Cohan common stock is $60 per share. The face value is $1,000. The coupon rate is 8 percent and the annual interest is paid until the maturity date 10 years from now. Similar nonconvertible bonds are yielding 12 percent (YTM) in the marketplace. Calculate the straight bond value of this bond.

$774

Explanation:

Price of bond is the present value of future cash flows. This Includes the present value of coupon payment and cash flow on maturity of the bond.

As per Given Data

As the payment are made semiannually, so all value are calculated on semiannual basis.

Coupon payment = 1000 x 8% = $80 annually

Number of Payments = n = 10 years x 1 = 10 periods

Yield to maturity = 12% annually

To calculate Price of the bond use following formula of Present value of annuity.

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

Price of the Bond =$80 x [ ( 1 - ( 1 + 12% )^-10 ) / 12% ] + [ $1,000 / ( 1 + 12% )^10 ]

Price of the Bond =452.02 + $321.97 = 773.99

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