Sustainable House Prices?

August 11th, 2014 by Potato

While there may be great disagreement over whether a crash is coming, most people can agree that

    1) this past decade has seen an incredible increase in real estate prices
    2) that this rate of growth cannot continue forever

The issue is that the ultimate barrier and outcome is not so clear. Some think prices could continue at high-single-digits growth until Toronto is approximately as expensive as London or Tokyo (or Vancouver!). Others (such as myself) don’t think Toronto incomes can support that level — indeed, there is a question as to whether the current level can be sustained.

The Toronto market has started to segment in the past few years: condo price appreciation has moderated, while detached houses have gone on a tear (especially those under the new $1M CMHC cap). In the last post I was trying to figure out whether there were enough rich people to support the current prices — if we had already crossed the point where a soft landing is impossible. If price increases do abate, but the levels stay this high relative to incomes and rents (a soft landing), then houses will continue to turn over year after year like this — are there enough households rich enough to keep buying for decades to come in a soft landing? I have my doubts, and tried to put some math to it.

I think it’s getting close to the breaking point if it’s not already past it. Note that there is nothing stopping the market from running well past the point of sustainability — just that once it does a soft landing is nigh impossible to pull off.

Toronto Is Running Out of Rich People (to Sustain the Housing Bubble)

August 9th, 2014 by Potato

I normally like to look at the housing market from the bottom-up using a rent-vs-buy analysis. After all, you have to live somewhere and that’s the key to deciding what to do with your own life — the macro stuff will work itself out eventually over many years. I still like reading and thinking about the macro stuff, it just wasn’t really my area of expertise for analysis and Ben Rabidoux used to post a lot about it. But he’s not posting any more so screw it, let’s have a look at the Toronto market with some Fermi-esque math.

In 2013 the overall average price of a detached house in Toronto (416) was $842k; 11.4k such houses traded hands, according to TREB. Some of those would have been $500k crack shacks, while others would have been multimillion dollar mansions bringing the average up. TREB doesn’t publish median figures. Up in subwayville/North York a “normal” house runs for about $700k so let’s take that as a reasonable average for the city based on those numbers.

How much income do you need to carry a $700k house in Toronto?

Property tax would be about $5,600/yr.
The mortgage, if you want to use 4.5% to give yourself a small buffer against increasing rates, and assuming 20% down, would run $37,356/yr.
Utilities, insurance, maintenance, etc. we can ballpark at $10,000/yr.
Rough total with these minor contingencies/conservative estimates: $46k/yr.

Assume that the owners of such lavish mansions have other things to spend their money on (cars, daycare, hot yoga, Muskoka cottage, pusateri’s, retirement savings) so they want to limit their spending on shelter to something reasonable like 45% of their pre-tax income. That means they need to make over $100k to afford a house at this level. At least. Of the roughly one million households in Toronto, fewer than 120,000 180,000 290,000 of them have household incomes over $100k. How many houses are there to buy at those prices? If the average detached house turns over every 10 years, then there are only 110k or so.

That doesn’t look so bad: as long as everyone who has the income to do so is behind the current prices and willing to ignore traditional affordability rules-of-thumb (forever), they can be sustained.

Except that about a third as many semi-detached houses traded hands last year at an average price exceeding $600k, so we’re looking at at least another 1,000 sales and 10,000 units or so of semi-detached houses over our $700k threshold. A quick scan of MLS also tells us that there are still a few thousand units that cross our $700k level, even though condos may have an average price of less than half the detached/semidetached class. That’s another 15,000 or so rich families we need to be committed to the expensive property cause, getting us well within the error bars of the total number of rich people available.

Looking closer at that estimate of detached houses, it comes out kinda low — mining the StatsCan data suggests that there are closer to 300k detached houses in Toronto [edit: or if you have the power of Ben Rabidoux to find the correct table rather than subtracting others, you can say it is precisely 275,015].

I’ve heard the argument more and more lately that the housing bubble is just a new reality in Toronto: the days of an average or middle-class family owning a detached house — even in the burbs near the subway — are over, and such things are only for the rich. Condo living or extreme commuting are the new normal. Except current prices are so insanely high we don’t even have enough rich people for that narrative to make sense.

Toronto’s going to run out of rich people before all the houses can turn over. Fixing the income numbers, I can’t say definitively that Toronto doesn’t have enough rich people to support the house prices any more, but we’re still cutting it kind of close. The question circles us back to many people needing to commit to stretched affordability to keep the prices up, and with prices increasing every year how stretched can affordability get before it all falls apart? Unfortunately that’s been a question for a few years running now, and kind of depends on how insane people are willing to let things get. The longer interest rates stay low, the more willing people are to stretch every last dollar and throw out their contingency for rate increases. So the median detached house price is right now $700k. At what point does it rise enough that the question I raised here does become an issue — when is affordability stretched so much that there aren’t enough rich for all the houses? Maybe when the median price hits $875k, another 25% increase from here? So like, 2 years at current price increases?

[Edit: I had a report that put the percentage of households with incomes over $100k at 18%, and I had the total number of households as about a million. In the original post I multiplied those out to get 120k, failing once again at simple math. That report was based on 2005 data, I’ve since been informed the 2011 census figure is 26% of 1.1M households.]

Home Maintenance Rule-of-Thumb

May 23rd, 2014 by Potato

Back when we talked about the gross debt service ratio, we discussed how sometimes a simple rule can scale in surprising ways.

A set percentage of your house’s value is a very common rule-of-thumb for estimating ongoing maintenance costs — 1% is typically seen these days (and what I use), though older articles from before the massive run-up in prices can be double that. It’s a tough thing to estimate accurately because there are so many line items and they’re all irregular; however, maintenance is a pretty big part of the cost of ownership so you can’t ignore it when considering the costs of shelter. A rule-of-thumb at least gets it in people’s minds — people who might otherwise only consider the costs they had to pay in the last few months (indeed, so many bad amateur rent-vs-buy considerations just use the mortgage payment). So if it’s even approximately right to +/- 50% I’m happy to continue to spread the rule-of-thumb.

In a comment this morning, Geoff says:

My issue with such articles about homeownership is that anytime they mention home maintenance, they use a percentage of the house value to estimate costs; this worked maybe when home price reflected the size of the house. But there’s no way that my 1961 built 1200 sq.ft house in toronto (worth I’d say $750,000 easy) costs more to maintain than my in-laws 3500 sq.ft house in Trenton (worth I’d say $150,000).

And that’s totally fair. The rule-of-thumb isn’t perfect, indeed even for Geoff and his immediate neighbours their maintenance costs may not be that close because of luck or the materials and workmanship they choose. To some extent size will matter, but a maintenance rule-of-thumb won’t scale perfectly with size, either: it costs so much to get a new furnace in the first place, and only a bit more for a bigger one; likewise the expensive kitchen/bathroom/etc. stuff only scales up a bit for larger houses, with most of the extra space being bedrooms/offices/living rooms that are basically simple shells. And within a jurisdiction size is usually captured by price increases anyway.

But keep in mind that there are other factors that will make a smaller place in the city more expensive to maintain than a larger one in the country, so there will be some scaling with price (though it’s never going to be a perfect set percentage).

For instance, the potentially higher labour costs in the city is a somewhat obvious one, but a much bigger factor is that the standards will be different. More expensive houses (larger or smaller) will be more expensive to maintain because they are lived in by people with more expensive tastes (or are situated in neighbourhoods with more expensive standards). For example, on PEI my parents’ kitchen is now about 20 years old, and still perfectly fine — heck, it’s probably still one of the more recent ones out there! In Toronto a 20-year-old kitchen would be scandalous and require a reno — a 10-year refresh is de rigueur — though in that case it may not be a cash cost as you can choose to not do it and just suffer relative depreciation (or reduced appreciation) relative to the trendy neighbourhood. Likewise, when a kitchen renovation does come up on PEI a whole new set of appliances would likely come in a fair bit under $5000; in a prestigious Toronto ‘hood each stainless steel, celebrity-chef-approved piece might run that much. Similarly for the rest: the standard for outdoor appearance in a less-expensive area might be a bag of grasseed and patience whereas in a million-dollar neighbourhood landscapers, sod, and shrubbery would be expected. Etc.

Indeed, it’s for this reason that I think the more common rule-of-thumb is value-based rather than size-based. And for cases of extremely expensive small properties or very cheap large ones, well, you’ll hopefully know to nudge your estimates up or down appropriately.

Fixing Carrick’s Renter’s Guide

May 22nd, 2014 by Potato

I want to be clear up front: I like Rob Carrick. He talks a lot of sense, and is one of the few voices out there talking about the potential dangers to homeownership-at-any-cost, and breaking the misconceptions about renting. I also think the “rent and invest the difference” message is incredibly important — it was the central idea behind creating the rent-vs-buy calculator.

That said, I had a lot of head-shaking moments at his column this weekend called “the renter’s guide to successful investing.” These are mostly quibbles to be sure, but there are a lot of quibbles for a thousand-word article.

I really get the concept of trying to make advice bite-sized and manageable: something close enough that people actually follow is better than precise advice that people tune out (indeed, I have been guilty of that often enough). However, the maxim is that things should be made as simple as possible but no simpler. I think this is unfortunately a case of over-simplifying. Similarly, I just don’t get his “real life ratio”1.

First off the message about saving is confusing. At the start he says “Homeowners build wealth by paying their mortgage down and increasing their equity in a house that they will presumably be able to sell for more than they paid. […] A homeowner with a paid off house has the luxury of choosing to: continue living mortgage-free in the home (and rent-free, for that matter);[…]” which leaves off the issue of homeowners also needing to save. He doesn’t actually say “forced savings” at any point, but this statement brings that terrible idea to mind. Homeowners also need to save — indeed, you can’t live “rent-free” in a paid-off house because you have to pay property tax, upkeep, insurance, etc. That notion does come in at the end, off-handedly: “Just as a homeowner needs to have dedicated savings for retirement, so does the renter.” That idea really doesn’t come through in the article, unfortunately, and I’m sure many missed it.

The big issue though is this mysterious 1.5% rule-of-thumb he comes up with. I mean, the logical thing to do would be to take some average figure for the principal paid down with a mortgage payment and use that. Or to go to a rent-vs-buy calculator and find out what the actual cost difference is and invest that. Instead, he takes an estimate based on maintenance + (1/2)*(property tax). What?

This is not remotely accurate for the areas where the rent-vs-buy debate is most important. Check it out for Toronto: the so-called “renter’s dividend” is almost twice what Rob’s rule-of-thumb predicts. I get 2.7% (if you insist on putting it into a percentage of the house price instead of a dollar value for each situation), and that’s for the apples-to-apples case. If you’re a renter saving up for your first place and plan to move up from your rented accommodations (e.g. to move to a house from a small apartment), then you should be saving that difference, which might be 5% of the house’s value.

Secondly, it really irks me that he doesn’t ever suggest that you should calculate it accurately. The rule-of-thumb is all that’s presented, and that is further simplified down to 1.5%.

Now rather than just bitch and not provide a solution, here is a new rule-of-thumb derivation:

Rule-of-Thumb for Amount of “Renter’s Dividend” for Apples-to-Apples Comparisons

How much does it cost to own a house? Roughly speaking property taxes are a hair under 1% in many municipalities, combine that with insurance to make the estimate an even 1%; insurance maintenance rules-of-thumb are about 1% (as Rob has in the article); transaction fees and/or discretionary “while we’re at it…” renovations run about 0.5%/yr amortized out (~10% every 20 years); the last tricky part is figuring out the mortgage payment — remember the renter wants to save the cash flow difference, so this time we do want to include the principal repayment portion. For a 25-year mortgage with 10% down at 3.5%, the mortgage is 5.5% of the property value. The total cash cost of owning is thus 8.0% (which includes principal repayment).

So find what your rent is as a portion of that, subtract, and voila.
Toronto: price-to-rent of 240X translates to rent being 5% of the price of a house; thus save 3%.
Vancouver: price-to-rent of 330X translates to rent being 3.6% of the price of a house; thus save 4.4%
Canada: if the more typical price-to-rent is 180X in other centres in the country, then rent would be 6.7%, so save 1.3% (I guess this is kinda close to what Rob got).

[Note the rule-of-thumb figures are not quite in perfect agreement with the spreadsheet — people should also save what the homeowner would be (e.g., 10% of income for retirement, depending on your guideline of choice]

Rule-of-Thumb for Amount of “Renter’s Dividend” for Moving-Up Comparisons

Now if you’re in a small apartment but planning to move up to a house it gets a bit more complicated. If you want to budget as though you were already in that house and saving the difference, then you would be saving much more. To make the rule-of-thumb simple, assume that the move up is for double the cost of your current place. That is, if you’re in a 2-bedroom apartment and want to move up to a 3-bedroom detached house, assume that if the house is $500,000, your apartment is $250,000.

So if you’re in a Toronto apartment, saving up for your first house (and planning on living to that budget — i.e., it’s not so far in the future that you’re counting on significant wage increases to make it work), then you’d want to save the “renter’s dividend” from your rental versus a comparable condo (half the house) plus all of the cost of owning on the difference between that condo and the house (approximated as half the house). So that first half would depend on the price-to-rent in your city, say 3% in Toronto, plus 8% of the difference, for a total of 11% on the half the value of the house, or 5.5% on the full value of the house.

Now maybe Rob went through a similar rule-of-thumb derivation, and was simply afraid that the numbers were too large — either that no one would believe the so-called “renter’s dividend” would be so enormous in this environment, or that the suggested amount to save would shock people. Moving on.

“Whether you’re a renter or an everyday investor, there’s only one way to set up a disciplined investing program. You need to have money transferred electronically into your investment account from your chequeing account every time you get paid, or once per month.” [emphasis mine] Ok, maybe it’s just hyperbole, but there are lots of ways to set up a disciplined investing program — as individual as the person. Sure, I’m a big advocate for automation: there are lots of good reasons for it to work and it’s proven2. I make a strong case for it in my new book, too. But it’s not the only way. Indeed, automation is very much a do-as-I-say-not-as-I-do recommendation: for my situation, with highly seasonal spending and freelance income, I do almost all of my saving in the first half of the year. If I went automated I would just have to compensate with a larger savings account to buffer the changes in my budget. Plus a natural frugal inclination means I don’t worry about blowing my budget just because I don’t hide my money from myself. I recognize that there can be better ways: some people for instance, respond best by taking out a loan for the next year’s savings to invest, and then target paying down the loan. Others may target a few “no spend” pay periods and save in say 3-4 bi-weekly binges (even those who just save the “triple bonus” pay periods that come up twice per year on a bi-weekly paycheque system manage to hit a 7.6% savings rate, which is not terrible). Whatever works3.

A penultimate, minor quibble: the first table is near-useless. It’s a table of “if you get X% return saving $Y per month, after 30 years you’ll have $Z pile of money.” It’s completely dissociated from the message of the article. Would have been much more useful to combine the first and second tables: pick a rate of return (say 6%) and show that you would have enough to buy the average house price (or not, or buy two, whatever the case is) for each city if you rent and invest the difference.

A final complaint: he ends off with a specific mutual fund recommendation. I know he doesn’t phrase it precisely as a recommendation, instead as an example backing up what returns to expect (which is sadly needed when many readers may think investing means a HISA at 1.2% nominal), but still, the mention of one specific fund to end a column titled “…guide to successful investing” irked.

1. As an aside, if the real life ratio spreadsheet is targeted at potential home buyers I would have built-in defaults on some of the calculations based off purchase price, like mortgage payments, property tax, insurance, and maintenance, because first-time buyers may not know these numbers in advance.

2. Well, as proven as something like that can get.

3. Which yes, is usually automation/pay-yourself-first.

Updated Rent-vs-Buy Calculator

March 8th, 2014 by Potato

Thanks to some discussions with people (and Redditors) I have updated the rent-vs-buy investment method calculator (aka the ultimate rent-vs-buy comparison tool for Canadians). You can see the spreadsheet in Google Drive here (and save a copy to your own Google Drive or download in various spreadsheet formats) or click here to download it in Excel format.

Please see the original page for instructions, and the follow-up discussions: part 1 on things to consider and discussion questions, and part 2 on the sensitivity to various inputs changing.

If you haven’t seen this before, it’s a very detailed and customizable rent-vs-buy calculator. It assumes that all else being equal, you can compare apples-to-apples options for your shelter. If buying costs more, the renter will save the difference in monthly cash flow and invest it. It allows you to model a change in interest rates over time (specifying a rate for years 1-5, 5-10, and 10+), includes the effect of transaction fees, house price appreciation, taxes on the renter’s investments, and most importantly: investment returns that compound over time.

What’s new:

  • The default mortgage rate is now 3.49%, the lowest big-bank 5-year fixed rate my rate-comparing friends at ratesupermarket.ca were able to find. With the move to a 5-year fixed (the most common option chosen) I’ve updated the back-end mortgage calculations to account for the bizarre 6-month compounding of fixed mortgages in Canada.
  • The CMHC charges have been updated for the recently announced changes (though those won’t take effect for another month).
  • The summary box (scroll over to the right) now also says how much the buying case wins by (in the event that it does) so you don’t have to look down at the full results table.
  • The default comparison has been updated. I’ve just spent a quick half hour searching for comparable listings and found many exact — same unit — apples-to-apples comparisons, and Toronto’s price-to-rent is easily over 240X right now1.




I have been asked about creating a space for fudge factors (in particular, to model the case where the owner gets a roommate or rents out a basement/secondary suite2) and I have not included that and do not feel persuaded to. Having such a field would just invite non-comparable comparisons (like comparing renting a full house to owning half of one with a call option on the rest). It’s a spreadsheet, so it’s not hard to account for such cash flows (for instance, just over-write the maintenance fee column with a combination of increased maintenance fees from being a landlord and a negative cash cost item for the rent income), and I would much prefer you think deeply about it by doing it manually than just jumping ahead to the fudge cell to justify buying.

1. I was overly fair to the buying case before and renting was still better — a point that was lost on many. The comparison now starts with one such matched pair (in North York). Renting now totally blows buying out of the water. I don’t want to belabour the Toronto housing bubble issue too much (I’d rather people focus on the usefulness of the tool and try it out for their own purposes without getting distracted by my situation), but it’s not even close guys. And I’m still being too fair by being at the bottom of the range — many of the condos that were “only” 240X had maintenance fees of ~1.4-1.5%, vs the sheet’s default of 1.1%, and those condo fees don’t even cover all maintenance/upkeep needs.
2. I already had a short post on this topic, but in brief: if it doesn’t make sense to rent out a whole house, how does renting out half of one suddenly become financial genius?

Update: Etienne (who was featured by Garth Turner recently) emailed me with the fix for a minor bug: the CMHC premium was being applied to the whole house value rather than just the loan value. Fixed as of March 15, 2014. The magnitude of the error depends on the downpayment; for example with 5% down it made the mortgage 0.15% too large, for 10% down it was 0.24% too large.