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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:
Volatility and interest rate risk: Without regular interest payments to cushion price fluctuations, zero-coupon bonds are more volatile than short-term bonds. In general, the current value of any ...
e. A zero-coupon bond (also discount bond or deep discount bond) is a bond in which the face value is repaid at the time of maturity. [1] Unlike regular bonds, it does not make periodic interest payments or have so-called coupons, hence the term zero-coupon bond. When the bond reaches maturity, its investor receives its par (or face) value.
The forward rate is the future yield on a bond. ... is the zero-coupon yield for the time period (,), (k = 1,2). Related instruments Forward rate agreement ...
For example, if a zero-coupon bond with a $20,000 face value and a 20-year term pays 5.5% interest, the interest rate is knocked off the purchase price and the bond might sell for $7,000.
The zero-coupon bond will have the highest sensitivity, changing at a rate of 9.76% per 100bp change in yield. This means that if yields go up from 5% to 5.01% (a rise of 1bp) the price should fall by roughly 0.0976% or a change in price from $61.0271 per $100 notional to roughly $60.968.
Short rate models are often classified as endogenous and exogenous. Endogenous short rate models are short rate models where the term structure of interest rates, or of zero-coupon bond prices (,), is an output of the model, so it is "inside the model" (endogenous) and is determined by the model parameters. Exogenous short rate models are ...
The Z-spread, ZSPRD, zero- volatility spread, or yield curve spread of a bond is the parallel shift or spread over the zero-coupon Treasury yield curve required for discounting a predetermined cash flow schedule to arrive at its present market price. The Z-spread is also widely used in the credit default swap (CDS) market as a measure of credit ...