# Long run trade off between inflation and output

In "The incredible Volcker Disinflation" by Goodfriend and King (2005) we are presented with the NK Pricing equation

$\pi_t = E_t\pi_{t+1} + h(y_t-y_t^*)$

the author then mentions that there is no "long run trade-off" in the equation since "output is at capacity when current and expected future inflation are equal".

Can anybody elucidate the meaning of "long run trade-off" and the following sentence?

Note that if $\pi_t = E_t\pi_{t+1}$ (current and expected future inflation are equal) then
$$\pi_t = E_t\pi_{t+1} + h(y_t-y_t^*) \implies 0 = h(y_t - y_t^*) \implies y_t = y_t^*$$