diff --git a/lectures/cagan_adaptive.md b/lectures/cagan_adaptive.md index 14fe60cc..f3d48c34 100644 --- a/lectures/cagan_adaptive.md +++ b/lectures/cagan_adaptive.md @@ -62,7 +62,7 @@ $$ (eq:caganmd_ad) This equation asserts that the demand for real balances -is inversely related to the public's expected rate of inflation. +is inversely related to the public's expected rate of inflation with sensitivity $\alpha$. Equating the logarithm $m_t^d$ of the demand for money to the logarithm $m_t$ of the supply of money in equation {eq}`eq:caganmd_ad` and solving for the logarithm $p_t$ of the price level gives @@ -79,7 +79,7 @@ $$ $$ (eq:eqpipi) We assume that the expected rate of inflation $\pi_t^*$ is governed -by the following adaptive expectations scheme proposed by {cite}`Friedman1956` and {cite}`Cagan`: +by the following adaptive expectations scheme proposed by {cite}`Friedman1956` and {cite}`Cagan`, where $\lambda\in [0,1]$ denotes the weight on expected inflation. $$ \pi_{t+1}^* = \lambda \pi_t^* + (1 -\lambda) \pi_t