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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:
It is zero-coupon because there is only one cash flow at the maturity of the swap, without any intermediate coupon. It is called a swap because at maturity, one counterparty pays a fixed amount to the other in exchange for a floating amount (in this case linked to inflation). The final cash flow will therefore consist of the difference between ...
A zero coupon swap (ZCS) [1] is a derivative contract made between two parties with terms defining two 'legs' upon which each party either makes or receives payments. One leg is the traditional fixed leg, whose cashflows are determined at the outset, usually defined by an agreed fixed rate of interest.
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 ...
An affine term structure model is a financial model that relates zero-coupon bond prices (i.e. the discount curve) to a spot rate model. It is particularly useful for deriving the yield curve – the process of determining spot rate model inputs from observable bond market data.
Bonds are a favorite among income investors because of their low risk and the predictable cash flow they generate. But there's a unique class of bonds that don't provide passive income. They're ...
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 ...
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