$1.$Marlene $(4$ marks$)$

Marlene has a pension of $$45,000$ p$.$a$.$ and wants to plan for $30$ years of retirement. Her RRSP is earning $8\%$ before retirement and she expects it will earn $6\%$ in retirement when inflation is $2\%.$

a What is the present value at retirement of this pension if it is:

i$.$Indexed

ii$.$ Not indexed.