: b. Supposed the three equation of the double lag model is given as follows: +(-y) (Philips curve) Y₁-Ye=-a(ro-rs) (IS) 1 П2-1T (Y1-Ye) (MR) 1/αβ i. Using a mathematical model in a double lagged model, derive Taylor's rule equation. [6 marks] ii. Using a PC-MR diagram, explain how the unemployment caused by disinflation is independent of the degree of inflation aversion (β) of the central bank. How does this finding change if the Philips curves are steeper (a > 1)? [8 marks]