In the context of fixed income securities, yield curves represent the relationship between the interest rates (or yields) of bonds with different maturities, and they are essential for pricing and risk assessment. When constructing a yield curve, one of the most critical aspects is ensuring that it accurately reflects the market's expectations for future interest rates.
Consider the following methods for constructing a yield curve:
1. The Bootstrapping Method uses the prices of zero-coupon bonds to derive the yield curve directly.
2. The Nelson-Siegel model, which assumes a specific functional form for the yield curve and allows for flexibility in its shape.
3. The Cubic Spline Method, where interpolation techniques create a smooth yield curve from various maturities without assuming a certain functional form.
Which of the following statements correctly identifies the characteristics of these yield curve construction methods?