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Your company currently has ​par, coupon bonds with 10 years to maturity and a price of. If you want to issue new​ 10-year coupon bonds at​ par, what coupon rate do you need to​ set? assume that for both​ bonds, the next coupon payment is due in exactly six months.

Sagot :

In order to sell the new bonds at par, the coupon rate must be 5.51%.

What are bonds?

  • A bond is a sort of financial asset in which the issuer (the debtor) owes the holder (the creditor) a debt and is obligated to repay the principal (i.e. amount borrowed) of the bond at the maturity date as well as interest (called the coupon) over a specified period of time, depending on the terms.

To find the coupon rate in order to sell the new bonds at par:

  • The company now possesses $1,000 par, 6.5 percent coupon bonds with a maturity date of 10 years and a price of $1,078.
  • If we intend to issue fresh 10-year coupon bonds at par, assume that the next coupon payment is due in exactly six months for both bonds.
  • We must compute the current bonds' yield to maturity (YTM).
  • Because the bonds pay interest every six months, the coupon is $32.50.
  • YTM = {coupon + [(face value - market value)/n]}/[(face value + market value)/2]
  • YTM = {32.5 + [(1,000 - 1,078)/20]}/[(1,000 + 1,078)/2]
  • YTM = 28.6 / 1,039 = 0.275 x 2 = 5.5053% ≈ 5.51%

Therefore, in order to sell the new bonds at par, the coupon rate must be 5.51%.

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