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A friend of yours wants to invest in an outstanding bond with a 5% annual coupon and a remaining maturity of 10 years

Finance Jan 17, 2021

A friend of yours wants to invest in an outstanding bond with a 5% annual coupon and a remaining maturity of 10 years. The bond has a par value of $1,000, and the market interest rate is currently 7%. How much should your friend pay for the bond? Based on the price you calculate, is the bond a par, premium, or discount bond?

Expert Solution

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

C = Periodic coupon payment = 1000*5% = $50

F= Face / Par value of bond = $1000

r= Yield to maturity (YTM) = 7%

n= No. of periods till maturity = 10 year

Bond price = 50* (1-(1+.07)^-10/.07 + 1000/(1+.07)^10

= $351.18 + $508.35 = $859.53

Amount should paid by friend = $859.53

The bond is discount bond , because bond currently trading for less than its par value

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