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The coupon payment frequency. 1 = annual, 2 = semi-annual, 4 = quarterly, 12 = monthly, etc. Principal Par value of the investment. (Also known as "face value", "nominal value" or just "par"). In the case of an amortizing bond, it is the unpaid principal = outstanding principal amount (OPA) = principal balance.
Analytic Example: Given: 0.5-year spot rate, Z1 = 4%, and 1-year spot rate, Z2 = 4.3% (we can get these rates from T-Bills which are zero-coupon); and the par rate on a 1.5-year semi-annual coupon bond, R3 = 4.5%. We then use these rates to calculate the 1.5 year spot rate. We solve the 1.5 year spot rate, Z3, by the formula below:
To see whether you’re better off holding the bond until maturity or if it’s called early, you can calculate the yield to call. The bond’s original yield (coupon rate) is 5%.
For example, if a bond has a face value of $1,000 and a coupon rate of 5%, then it pays total coupons of $50 per year. Typically, this will consist of two semi-annual payments of $25 each. [3] 1945 2.5% $500 Treasury Bond coupon
The force of interest is less than the annual effective interest rate, but more than the annual effective discount rate. It is the reciprocal of the e -folding time. A way of modeling the force of inflation is with Stoodley's formula: δ t = p + s 1 + r s e s t {\displaystyle \delta _{t}=p+{s \over {1+rse^{st}}}} where p , r and s are estimated.
Similarities in both values and definitions of Macaulay duration versus Weighted Average Life can lead to confusing the purpose and calculation of the two. [12] For example, a 5-year fixed-rate interest-only bond would have a Weighted Average Life of 5, and a Macaulay duration that should be very close.
Yield to put (YTP): 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 (YTW): when a bond is callable, puttable, exchangeable, or has other features, the yield to worst is the lowest yield of yield to maturity, yield to call, yield to put, and others.
WAL should not be confused with the following distinct concepts: Bond duration Bond duration is the weighted-average time to receive the discounted present values of all the cash flows (including both principal and interest), while WAL is the weighted-average time to receive simply the principal payments (not including interest, and not discounting).