14.
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yield to maturity approach: This approach discounts all cash flows at a single
interest rate, the YTM. The YTM of a coupon bond is the yield that makes the
present value of a bond's promised cash flows equal to the bond's market price,
and is also known as the bond's internal rate of return. When pricing a bond
using the required YTM approach, investors use information about the YTMs at which comparable bonds are trading to find the
discount rate to apply to the bond's cash flows.
h:
Calculate the yield to maturity of a coupon bond.
Example:
Find the maturity of a two-year coupon bond (4 semiannual periods) with a
coupon rate of 6% that is selling for $1,050. Assume semiannual payments with a
coupon rate of 6% (coupon payments of $30 every six months).
You can use
trial and error to find YTM of 3.393%, or you can use your handy financial
calculator:
N = 4, PMT
= 30, FV = 1,000, PV = -1,050; CPT I/Y = 1.6965%.
Remember,
you must double 1.6965% to get 3.393%.
Required
yield to maturity approach: This approach discounts all cash flows at a single
interest rate, the YTM. The YTM of a coupon bond is the yield that makes the
present value of a bond's promised cash flows equal to the bond's market price,
and is also known as the bond's internal rate of return. When pricing a bond
using the required YTM approach, investors use information about the YTMs at which comparable bonds are trading to find the
discount rate to apply to the bond's cash flows.
h:
Calculate the yield to maturity of a coupon bond.
Example:
Find the maturity of a two-year coupon bond (4 semiannual periods) with a
coupon rate of 6% that is selling for $1,050. Assume semiannual payments with a
coupon rate of 6% (coupon payments of $30 every six months).
You can use
trial and error to find YTM of 3.393%, or you can use your handy financial
calculator:
N = 4, PMT
= 30, FV = 1,000, PV = -1,050; CPT I/Y = 1.6965%.
Remember,
you must double 1.6965% to get 3.393%.