A perpetuity pays $1$ at time t $=2,2$ at time t $=3,...,$ n at time

t $=($n $+1).$ After t $=($n $+1),$ the annual payments remain constant at n$.$

The effective annual interest rate is $8\mathrm{.}5\%.$ The price of this perpetuity is $90\mathrm{.}48.$

Calculate n