In[]:=
Clear["Global`*"]B:=.1ϵ:=3β:=.3σ:=1alphabar:=0.s:=1u:=.3ϕ[Z_]:=PDF[NormalDistribution[0,1],Z]Φ[Z_]:=CDF[NormalDistribution[0,1],Z]IMR[Z_]:=ϕ[Z]/Φ[Z]g[z_,n_]:=(s-u)*(σ*z+alphabar)+Log[n]+h[n_]:=z/.FindRoot[g[z,n],{z,0}]Plot[h[n],{n,.01,100}]
Log
IMR[σ*s-z]
IMR[z-σ*u]
(ϵ-1)*(1-β)
Out[]=