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This lecture covers the calibration of interest rate models using a two-factor Gaussian HJM model to market data, including swap rates and ATM cap quotes. It explains cap pricing, caplet price formula, and the estimation of discount curves. The lecture also discusses the calibration problem, solution using vega weights, and the computation of Black and Bachelier cap vegas. The instructor demonstrates the weighted least squares calibration method and presents the fitted normal and Black implied volatility curves.