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To extract the forward rate, we need the zero-coupon yield curve.. We are trying to find the future interest rate , for time period (,), and expressed in years, given the rate for time period (,) and rate for time period (,).
sc is a cross-platform, free, TUI, spreadsheet and calculator application that runs on Unix and Unix-like operating systems. It has also been ported to Windows.It can be accessed through a terminal emulator, and has a simple interface and keyboard shortcuts resembling the key bindings of the Vim text editor.
Bond valuation is the process by which an investor arrives at an estimate of the theoretical fair value, or intrinsic worth, of a bond.As with any security or capital investment, the theoretical fair value of a bond is the present value of the stream of cash flows it is expected to generate.
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:
Yield to put (YTP): same as yield to call, but when the bond holder has the option to sell the bond back to the issuer at a fixed price on specified date. Yield to worst (YTW): when a bond is callable, puttable, exchangeable, or has other features, the yield to worst is the lowest yield of yield to maturity, yield to call, yield to put, and others.
Similarities in both values and definitions of Macaulay duration versus Weighted Average Life can lead to confusing the purpose and calculation of the two. [12] For example, a 5-year fixed-rate interest-only bond would have a Weighted Average Life of 5, and a Macaulay duration that should be very close.
An inverse floating rate note, or simply an inverse floater, is a type of bond or other type of debt instrument used in finance whose coupon rate has an inverse relationship to short-term interest rates (or its reference rate). With an inverse floater, as interest rates rise the coupon rate falls. [1]
The Black formula is similar to the Black–Scholes formula for valuing stock options except that the spot price of the underlying is replaced by a discounted futures price F. Suppose there is constant risk-free interest rate r and the futures price F(t) of a particular underlying is log-normal with constant volatility σ.