Jim Busby calls his broker to inquire about purchasing a bond of Disk Storage Systems. The broker quotes a price of $1,180. Jim is concerned that the bond might be overpriced based on the facts involved. The $1,000 par value bond pays 14 percent interest, and it has 25 years remaining until maturity. The current yield to maturity on similar bonds is 12 percent. Compute the new price of the bond.

Jim Busby and Bonds of Disk Storage Systems

The new price of the bond is:

= $21,059

Explanation:

a) Data and Calculations:

Quoted price of bond = $1,180

Face value of bond = $1,000

Coupon interest rate = 14%

Bond's maturity period = 25 years

Current yield to maturity = 12%

Therefore, new price of the bond is computed as follows:

Bond Price = C* (1-(1+r)-n/r ) + F/(1+r)n

where C = Periodic coupon payment = $140 ($1,000 * 14%)

•F = Face / Par value of bond = $1,000

•r = Yield to maturity (YTM) = 12% and

•n = No. of periods till maturity = 25 years

= $140 * (1 – (1+0.12)^-25)/0.12 +$1000/(1+0.12)^25

= $140 * (1 - -17.00)/0.12 + $1,000/17.00

= $140 * (18.00)/0.12 + $1,000/17.00

= $140 * 150 + $59

= $21,000 + $59

= $21,059