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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:
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.
Key rate durations require that we value an instrument off a yield curve and requires building a yield curve. Ho's original methodology was based on valuing instruments off a zero or spot yield curve and used linear interpolation between "key rates", but the idea is applicable to yield curves based on forward rates, par rates, and so forth.
Both forward and spot rates tend to act as navigation tools in the diverse world of investments. Primarily, the forward rate indicates forecasted interest rates, while the spot rate provides the ...
The forward price (or sometimes forward rate) is the agreed upon price of an asset in a forward contract. [1] [2] Using the rational pricing assumption, for a forward contract on an underlying asset that is tradeable, the forward price can be expressed in terms of the spot price and any dividends. For forwards on non-tradeables, pricing the ...
The Z-spread is widely used as the "cash" benchmark for calculating the CDS basis. The CDS basis is commonly the CDS fee minus the Z-spread for a fixed-rate cash bond of the same issuer and maturity. For instance, if a corporation's 10-year CDS is trading at 200 bp and the Z-spread for the corporation's 10-year cash bond is 287 bp, then its 10 ...
How to calculate a factor rate. Using the factor rate provided by the lender, you can quickly calculate the cost of the borrowed funds. For example, if you borrowed $100,000 with a factor rate of ...
For example, if the inflation rate is 5%, on a one-year loan of $1,000 with an 8% nominal interest rate the real interest rate would be 8% minus 5% or 3%. The real interest rate will usually be ...