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List of Figures

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2.1 Chebyshev term structure components in τ space

2.2 Chebyshev term structure components in time space

2.3 Forward rate components in τ space

2.4 Forward rate components in time space

2.5 US term structure of interest rates for September 30, 2010

2.6 Components of US yield curve for September 30, 2010

2.7 Level of yield curve shifted by 50 bps.

2.8 Slope of yield curve shifted by 50 bps.

2.9 Bend of yield curve shifted by 50 bps.

2.10 Yield curve on December 11, 2008

2.11 Comparison of ISM manufacturing index and bend of the TSIR

2.12 Implied historical decay coefficient

2.13 Implied historical decay coefficient from treasury market

3.1 Orthogonal term structure components in τ space

3.2 Orthogonal term structure and principal components in τ space, 1992–2012

3.3 Term structure and volatility adjusted principal components in τ space, 1992–2012

3.4 Historical bend of the Chebyshev basis function

4.1 Eurodollar futures contracts VBP

4.2 Key rate contribution to duration, time space

6.1 Term structure of swap curve, May 25, 2012

6.2 Spread of repo and Libor over treasury bills

7.1 Historical term structures of euro swaps

7.2 Historical term structures of USD swaps

7.3 AUD and NZD swap curves, May 24, 2012

7.4 AUD and NZD instantaneous forward swap curves, May, 24, 2012

7.5 AUD and NZD swap curves, December, 18, 2012

8.1 Portfolio optimization example

9.1 Selected cross-sections of relative Libor volatility, June 30, 2012

9.2 Selected cross-sections of absolute Libor volatility, June 30, 2012

10.1 Convexity adjusted yield curve, May 28, 1999

10.2 Yield curve without convexity adjustment, May 28, 1999

10.3 Convexity adjusted long zero curves

10.4 Treasury and swap curves for calculations of EDFC, July 30, 2012

11.1 Spot real (Rts) and nominal (Tsy) rates, July 30, 2012

11.2 Term structure of inflation expectations, July 30, 2012

11.3 Average monthly inflation rates

11.4 Standard deviation of monthly inflation in the US

11.5 Cumulative seasonal inflation adjustment for US

11.6 Implied and market inflation rates, July 31, 2012

12.1 Credit spread of Brazil, May 25, 2012

12.2 Term structures of rates in France and Germany, July 31, 2012

12.3 Contribution to partial yield

13.1 TSCS and TSDP for Ford Motor Co., July 31, 2012

15.1 European at-the-money call swaption, July 8, 2011

15.2 Log-normal probability distribution

15.3 American at-the-money call swaption, July 8, 2011

15.4 American at-the-money put swaption, July 8, 2011

15.5 Correlation functions

17.1 Fraction of homes sold per year

17.2 Natural log of mortgage factor due to incentive

18.1 Conventional 30-year mortgage rates

18.2 Calculation error for 30-year conventional mortgages

18.3 Conventional 15-year mortgage rates

20.1 Newton's optimization method

21.1 Propagation from bucket j to bucket k

The Advanced Fixed Income and Derivatives Management Guide

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