# Analyze Yield Curves

The yield curve shows the relationship between the interest rate and the time to maturity for a given borrower in a given currency. The Financial Instruments Toolbox™ provides additional functionality to fit yield curves to market data using parametric fitting models and bootstrapping, estimate parameters and analyze different type of interest-rate curves. For more information, see Build and Analyze Curve Models (Financial Instruments Toolbox).

## Functions

`disc2zero` | Zero curve given discount curve |

`fwd2zero` | Zero curve given forward curve |

`prbyzero` | Price bonds in portfolio by set of zero curves |

`pyld2zero` | Zero curve given par yield curve |

`zbtprice` | Zero curve bootstrapping from coupon bond data given price |

`zbtyield` | Zero curve bootstrapping from coupon bond data given yield |

`zero2disc` | Discount curve given zero curve |

`zero2fwd` | Forward curve given zero curve |

`zero2pyld` | Par yield curve given zero curve |

## Topics

**Term Structure of Interest Rates**Derive and analyze interest rate curves, including data conversion and extrapolation, bootstrapping, and interest-rate curve conversions.

**Sensitivity of Bond Prices to Interest Rates**This example demonstrates an analysis of duration and convexity for a bond portfolio using SIA-compliant bond functions.

**Bond Prices and Yield Curve Parallel Shifts**This example uses bond pricing functions to evaluate the impact of time-to-maturity and yield variation on the price of a bond portfolio.

**Bond Prices and Yield Curve Nonparallel Shifts**This example shows how to construct a bond portfolio to hedge the interest-rate risk of a Treasury bond maturing in 20 years.

**Term Structure Analysis and Interest-Rate Swaps**This example shows how to derive implied zero and forward curves from the observed market prices of coupon-bearing bonds.

**Pricing and Computing Yields for Fixed-Income Securities**Compute the accrued interest, price, yield, convexity, and duration of fixed-income securities.