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ACCOUNTING AND FINANCIAL ENGINEERING - EXAMPLE 34.7 : An engineering investor purchases a $1000 bond that matures in 25 years. The coupon rate is 8 %. The purchase price is at 95 or 95 % of the par bond value. (a) What is the purchase price of the bond? (b) How much discount is enjoyed by the investor on average each year? (c) Find the income generated from coupon rate each year. (d) Find the overall interet rate or Yield to Maturity (YTM) by using the formula : YTM = [ Answer in (c) + Answer in (b) ] x 200 / [ par bond value + Answer in (a) ].
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Answer Posted / kangchuentat
ACCOUNTING AND FINANCIAL ENGINEERING - ANSWER 34.7 : (a) Purchase price = 0.95 x par bond value = 0.95 x $1000 = $950. (b) Annual discount = (total discount) / (25 years) = (0.05 x par bond value) / 25 = 0.05 x $1000 / 25 = $2. (c) Annual coupon rate payment = par value x coupon rate = $1000 x 0.08 = $80. (d) YTM = [ Answer in (c) + Answer in (b) ] x 200 / [ par bond value + Answer in (a) ] = (80 + 2) x 200 / (1000 + 950) = 8.41 %. The answer is given by Kang Chuen Tat; PO Box 6263, Dandenong, Victoria VIC 3175, Australia; SMS +61405421706; chuentat@hotmail.com; http://kangchuentat.wordpress.com.
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