Yield to maturity (YTM) is the yield promised by the bondholder on the assumption that the bond will be held to
maturity, that all coupon and principal payments will be made and coupon payments are reinvested at the bond's promised yield at
the same rate as invested. It is a measurement of the return of the bond. This technique in theory allows investors to calculate
the fair value of different financial instruments. The YTM is almost always given in terms of annual effective rate.
The calculation of YTM is identical to the calculation of internal rate of return.
- If a bond's current yield is less than its YTM, then the bond is selling at a
discount.
- If a bond's current yield is more than its YTM, then the bond is selling at a premium.
- If a bond's current yield is equal to its YTM, then the bond is selling at par.
Variants of Yield to maturity
Given that many bonds have different characteristics, there are some variants of YTM:
- Yield to Call: when a bond is callable (can be repurchased by the issuer before the maturity), the market looks also to the
Yield to Call, which is the same calculation of the YTM, but assumes that the bond will be called, so the cashflow is
shortened.
- Yield to Put: same as Yield to Call, but when the bond holder has the option to sell the bond back to the issuer at a fixed
price on specified date.
- Yield to Worst: when a bond is callable, "puttable" or has other features, the yield to worst is the lowest yield of Yield to
Maturity, Yield to Call, Yield to Put, and others.
Example
Consider a 30-year zero coupon bond with a face value of $100. If the bond is priced
at a yield-to-maturity of 10%, it will cost $5.73 today (the present value of this cash
flow). Over the coming 30 years, the price will advance to $100, and the annualized return will be 10%.
But what happens in the meantime? Suppose that over the first 10 years of the holding period, interest rates decline, and the yield-to-maturity on the bond falls to 7%. With 20 years remaining to maturity,
the price of the bond will be $25.84. Even though the yield-to-maturity for the remaining life of the bond is just 7%, and the
yield-to-maturity bargained for when the bond was purchased was only 10%, the return earned over the first 10 years is 16.26%.
This can be found by evaluating (1+i) = (25.84/5.73)0.1 = 1.1626.
Over the remaining 20 years of the bond, the annual rate earned is not 16.26%, but 7%. This can be found by evaluating (1+i) =
(100/25.84).05 = 1.07. Over the entire 30 year holding period, the original $5.73 invested matured to $100, so 10%
annually was made, irrespective of interest rate changes in between.
See also
External links
http://www.calvert.com/incinv_6594.html
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Bond market |
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| Types of bonds by issuer |
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| Types of bonds by payout |
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| Derivatives |
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| Pricing |
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| Yield analysis |
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| Credit and spread analysis |
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| Interest rate models |
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