Agnes is $40$ years old. She wants to know how much she should be saving each year for retirement. Below are the specifics:

She wants to retire at $60$ and expects to live until she's $90$

She currently makes $$45,000$ and expects that to increase each year with inflation. She thinks she will need about $70\%$ of

that to live on in retirement.

She has $$40,000$ in an RRSP

Her investments are earning a real rate of $6\%$ return before retirement.

When she retires she will move her investments into a more conservative portfolio and earn $3\%$ per year.

She expects that CPP will be about $$15,000$ per year in today's dollars. CPP amount is inflation adjusted.

Given this information, how much will she have saved when she is $60($in real dollars$)?$