The fixed rate tender is one of the main operational formats used by central banks in the implementation of their monetary policies. While academic research has largely dismissed the procedure for its tendency to encourage overbidding, central banks such as the ECB and the Bank of England have...

We introduce the class of linear-rational term structure models in which the state price density is modeled such that bond prices become linear-rational functions of the factors. This class is highly tractable with several distinct advantages: i) ensures nonnegative interest rates, ii) easily...

In a tractable stochastic volatility model, we identify the price of the smile as the price of the unspanned risks traded in SPX option markets. The price of the smile reflects two persistent volatility and skewness risks, which imply a downward sloping term structure of low-frequency variance...