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Original Issue Discount (OID) is a type of interest that is not payable as it accrues. OID is normally created when a debt , usually a bond , is issued at a discount . In effect, selling a bond at a discount converts stated principal into a return on investment, or interest.
Duration is a linear measure of how the price of a bond changes in response to interest rate changes. It is approximately equal to the percentage change in price for a given change in yield, and may be thought of as the elasticity of the bond's price with respect to discount rates. For example, for small interest rate changes, the duration is ...
The par value of stock has no relation to market value and, as a concept, is somewhat archaic. [when?] The par value of a share is the value stated in the corporate charter below which shares of that class cannot be sold upon initial offering; the issuing company promises not to issue further shares below par value, so investors can be confident that no one else will receive a more favorable ...
With 20 years remaining to maturity, the price of the bond will be 100/1.07 20, or $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 annualized return earned over the first 10 years is 16.25%.
Brokers quote the dirty price, found by adding the clean price and accrued interest since that day. If the bond's last coupon payment was made on 1 June, on 1 September, the dirty price is: Clean Price + Accrued Interest (where accrued interest is the interest accumulated from 1 June to 31 August on the bond according to its coupon rate.)
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:
If a trade is agreed, the price is calculated. In this example, SOFR +0.25% would be roughly equivalent to a price of 99.75. This can be calculated as par, minus the difference between the coupon and the price that was agreed (0.05%), multiplied by the maturity (5 year).
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]