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For a standard bond, the Macaulay duration will be between 0 and the maturity of the bond. It is equal to the maturity if and only if the bond is a zero-coupon bond. Modified duration, on the other hand, is a mathematical derivative (rate of change) of price and measures the percentage rate of change of price with respect to yield.
This difference in convexity can also be used to explain the price differential from an MBS to a Treasury bond. However, the OAS figure is usually preferred. The discussion of the "negative convexity" and "option cost" of a bond is essentially a discussion of a single MBS feature (rate-dependent cash flows) measured in different ways.
The effective spread is the average margin over the benchmark rate that is expected to be earned over the life of the security. For a floating rate note selling at par value, the effective margin is merely the contractual spread over the benchmark rate specified in the note's prospectus.
A five-year duration means the bond or bond fund could lose 5 percent of its value for every one-percentage point rise in prevailing interest rates, while a drop in rates would push the bond price ...
The more curved the price function of the bond is, the more inaccurate duration is as a measure of the interest rate sensitivity. [2] Convexity is a measure of the curvature or 2nd derivative of how the price of a bond varies with interest rate, i.e. how the duration of a bond changes as the interest rate changes. [3]
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). For an amortizing loan with equal payments, the WAL will ...
One of the safest investments available is the Series EE savings bond, issued by the U.S. government. ... calculator to determine the worth of the bond if you plan to cash it in on a future date ...
If a bond's compounded interest does not meet the guaranteed doubling of the purchase price, Treasury will make a one-time adjustment to the maturity value at 20 years, giving it an effective rate of 3.5%. The bond will continue to earn the fixed rate for 10 more years. All interest is paid when the holder cashes the bond.