Which model provides a method for modeling bond prices and the yield curve based on observed current interest rates?

• A. Ho and Lee model
• B. Black-Derman-Toy model (BDT model)
• C. Arbitrage-free models of the term structure
• D. KMV model

Answer: (C)

The correct answer is based on the principles that drive the pricing of bonds and the construction of yield curves. Arbitrage-free models of the term structure of interest rates are specifically designed to avoid arbitrage opportunities that could arise in a non-arbitrage framework. These models utilize current observed interest rates to forecast future rates and derive the yield curve in a consistent manner with market dynamics.

By modeling the term structure without the risk of arbitrage, these models consider a variety of factors influencing interest rates, including the dynamics of economic conditions and the behavior of investors. This approach is crucial for accurately pricing bonds, as it reflects the actual market conditions and provides a robust framework for understanding how bond prices change in response to shifts in interest rates.

The other options present alternative methodologies that may not focus solely on modeling the yield curve based on current interest rates or may involve specific scenarios that do not align with the broader principles of yield curve modeling. The Ho and Lee model, for instance, is primarily a one-factor model that focuses on the dynamics of interest rates in a binomial framework rather than a comprehensive arbitrage-free approach. The Black-Derman-Toy model is also a one-factor term structure model, and while it provides insights into bond pricing, it operates within a