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The yield to maturity (YTM), book yield or redemption yield of a fixed-interest security is an estimate of the total rate of return anticipated to be earned by an investor who buys it at a given market price, holds it to maturity, and receives all interest payments and the capital redemption on schedule. [1] [2]
Expression (3) which uses the bond's yield to maturity to calculate discount factors. The key difference between the two durations is that the Fisher–Weil duration allows for the possibility of a sloping yield curve, whereas the second form is based on a constant value of the yield , not varying by term to payment. [10]
The forward rate is the future yield on a bond. It is calculated using the yield curve. For example, ... The discount factor formula for period (0, t) ...
Consider a 10-year bond priced at $1,000 with a yield of 3%. Suppose the five-year key rate rises by 25 basis points while all other rates remain unchanged. If this causes the bond’s price to ...
Par yield is based on the assumption that the security in question has a price equal to par value. [5] When the price is assumed to be par value ($100 in the equation below) and the coupon stream and maturity date are already known, the equation below can be solved for par yield.
The current yield refers only to the yield of the bond at the current moment. It does not reflect the total return over the life of the bond, or the factors affecting total return, such as: the length of time over which the bond produces cash flows for the investor (the maturity date of the bond),
The yield to maturity (YTM) is the discount rate which returns the market price of a bond without embedded optionality; it is identical to (required return) in the above equation. YTM is thus the internal rate of return of an investment in the bond made at the observed price. Since YTM can be used to price a bond, bond prices are often quoted ...
In other words, a key rate duration measures the effect of a change in the yield curve that is localized at a particular maturity, and restricted to the immediate vicinity of that maturity, usually by having the change drop linearly to zero at neighboring points. Of course, the yield curve is most unlikely to behave in this way.