We present a framework of heterogeneous yield curves of agents based on the pricing kernel approach in order to model LIBOR and basis swap rates. Each yield curve may imply different prices of assets but is consistent with swap rates, basis swap rates and foreign exchange rates. We show three...

In the option pricing literature, it is well known that:(i) the decrease in the smile amplitude is much slower than standard stochastic volatility models and, (ii) the term structure of the at-the-money volatility skew is approximated by a power-law function with the exponent close to zero....