Term Structure Models Flashcards
Price of P_nt ZCB (SDF)
compounded SDF M_t+1M_t+2…M_t+n
Nominal SDF
M_t+1 $ * Inflation = M_t+1
Foreign SDF. Then Derive this.
M_t+1 * = M_t+1 * Q_t / Q_t+1 where Q_t+1 is the dollar per foreign exchange rate.
Solution concept for term premium
Guess functional form. Prove by induction, after solving for first period.
Arithmetic risk premium of bonds
RP = -Cov_t (p_n-1,t+1,m_t+1)
Restrictions of K-factor models
1) Variance covariance matrix of bond returns has rank K; 2) Bond yields capture all predictability of future bond yields
Evidence against spanning bond factor models
1) Lags of forward rates predict bond returns; 2) lagged macro variables survey forecasts predict macro variables, even when conditioning on bond yields