Using algebra to decide between TFSAs vs. RRSPs for retirement planning

@herlings Honestly, the best thing would be for you to put this all into a Google Spreadsheet and share it. Then others could make a personal copy and run their own numbers through it.
 
@herlings There’s a very fundamental qualitative consideration missing from the discussion.

If you are younger and need to withdraw money earlier for expenses before you are in a low income tax bracket - TFSA is more advantageous. Once you withdraw from an RRSP you never get that contribution room back. TFSA contribution room is returned the following year of a withdrawal.

If you’re 18 years old - you have a lots of time and expenses standing between you and retirement and will need money to those things too
 
@herlings lol

I did a similar analysis years ago:

It's all about the withdraw tax rate vs contribution tax rate. If it's lower when withdrawing, the RRSP is better. If you are getting CCB the RRSP is even better.

RRSP FV = PV(1 + r)^n × (1 - tw)

TFSA FV = PV(1 - tr) x (1+r)^n

where r = rate of return, n = periods, tc/tw = tax rate on contribution and withdrawal

If your PV is 50k at 7% over 20 years, the RRSP will be worth 155k vs the TFSA at 116K, a 33% difference, assuming 40% tc and 20% tw. Note: PV for the TFSA is discounted by your tax rate since we're assuming after-tax dollars

The difference can be simplified to: (1 - tw) - (1 - tc) / (1 - tc) so at 40/20%

it would be (.8 - .6) / .6 = .33

One huge advantage of the TFSA is that you can take a lump sum anytime and there is no estate tax

You could also retire early and withdraw a good portion of your RRSP tax free. For a couple they could take out 30k per year at current personal amounts!
 
@kkamagwi The part that I've been trying to solve is whether to defer the RRSP deduction vs. to defer the RRSP contribution entirely. I wanted to find an analytic solution in terms of the five variables (g, g*, m, tm, tn), but I couldn't reduce the expressions any further. Still stuck with testing numeric solutions only, sigh.
 
@mst86 That exact sentence though does give two specific scenarios where RRSP with delayed-deduction could be worthwhile. Interestingly I started researching this because we were left with this choice this year as my wife had a low income year due to maternity leave, with several months of RRSP contributions into the company matched RRSP program, and an expected return to higher income in 1 year. This made delay deduction the correct choice since taxable account is not an option.
 
@herlings The timeframe for that particular problem is short enough that regardless of what those 5 variables are, short-term market fluctuations will be the ultimate decider on which will outperform.

For example, in a downturn in the 2 years that you decided to defer the deduction, the RRSP may outperform a non-registered simply because your exposure to the market is smaller.

So any analytical solutions to reduce further than the 5 variables are likely moot. As with most things RRSP, it depends a lot on personal financial situation and outlook - like you mentioned with CCB, OAS, etc.
 

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