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re: spinoff thread - why pay off a car as soon as possible?

Posted on 6/22/21 at 10:32 pm to
Posted by Turf Taint
New Orleans
Member since Jun 2021
6010 posts
Posted on 6/22/21 at 10:32 pm to
quote:

For the life of me I can’t understand why this matters


The book value means nil unless you are planning to sell it.

A use cash vs financing is:

1. peace of mind thing for some (ie, those that view debt as bad / freedom from owing nothing) or

2. net positive spread (ie, can earn more keeping cash invested vs interest on car loan) for others

And I’m sure there are other perspectives.

The relation to book value is irrelevant, unless car is sold.
Posted by slackster
Houston
Member since Mar 2009
84896 posts
Posted on 6/22/21 at 10:36 pm to
quote:

You’re not taking the car’s value into account. By not paying it off, you have less cash towards the next car you’ll inevitably need at some point. Failure to account for that is akin to ignoring a 7% capital loss on a stock and focusing only on its 4% dividend. Except with the stock, you can at least hold it forever in the hopes that it eventually recovers its lost value. Not the case with a car.


I don't understand this line of thinking or analogy at all.

You pay $50k in one scenario, you only have the value of the car to show for it at whatever point down the road you want to choose.

You pay $10k in the other scenario, invest the $40k (that's growing faster than your loan) and you have the value for the car down the road.

Scenario one gives you a "net worth" of the value of the car, let's call it C. NW = C Scenario two gives you a net worth of the value of the investment account, I, minus the value of the loan account, L, plus the value of the car, C. NW = I - L + C

If I is larger than L, scenario two is the better option.
Posted by RedStickBR
Member since Sep 2009
14577 posts
Posted on 6/22/21 at 10:49 pm to
quote:

1) For scenario 3, I wouldn't run the ROI on the $40k. The ROI would be on the $40k minus the car notes. As a result, it would be on a declining balance and not growing as you're showing. I know that makes the math worse, but it's more accurate IMO.


Well, the ROI is compounding over time, so I'm assuming you save the $40k up front, and then earn 9% on that in Y1, and then earn an additional 9% in Y2 both on your initial investment and your Y1 gains. Plus, the "Total Cash Flows" line already nets out the debt service on the note.

But you're right, even if I wasn't compounding it, it would make the math worse

quote:

2) For scenario 4, how/where are these positive cash flows happening in the investment financials? You wouldn't have any money left. You used it to buy the car.


The cash flows shown in the "Cash Saved" line are the difference between the note you'd have if you used debt and the note you wouldn't have if you paid 100% cash up front.

quote:

If you use all of your money on an asset with a -16% rate of return, how can you possibly get an IRR higher than that?


Because leverage magnifies gains and magnifies losses. That's precisely the point. When your Unlevered Return > Cost of Debt, leverage makes the gains even better. Likewise, when your Unlevered Return < Cost of Debt, leverage makes the losses even worse.
Posted by slackster
Houston
Member since Mar 2009
84896 posts
Posted on 6/22/21 at 11:00 pm to
quote:

Because leverage magnifies gains and magnifies losses. That's precisely the point. When your Unlevered Return > Cost of Debt, leverage makes the gains even better. Likewise, when your Unlevered Return < Cost of Debt, leverage makes the losses even worse.




I mean higher as in closer to zero. Your IRR calculation on paying for the car up front makes the IRR better (-14%) than the actually depreciation of the car (-16%). How is that possible?

However, before you answer that, I have a different question:

I'll give you a loan of $40k for the next 5 years at a 3.5% rate. You've got an investment that will net 6% after taxes per year. You're not going to take that deal because you also have a car? But seriously, explain to me like I'm 5 how you can come up with math that would suggest that's a bad deal.
Posted by RedStickBR
Member since Sep 2009
14577 posts
Posted on 6/22/21 at 11:12 pm to
quote:

The relation to book value is irrelevant, unless car is sold.



This is true, to an extent. Depreciation will catch up with you eventually. You can defer it, but the maintenance is coming. What's more, the assumed sale value in Year 5 is one of the major contributors to the return shown.

That aside, I'm actually making an entirely different point. I'm not arguing that it makes financial sense to buy a new car every few years. My point is that, in addition to your point, spend as little as possible on cars to begin with, and instead use your finite debt capacity on assets that will actually generate a return.

There's a reason you see many more nice cars on the road than you see nice houses alongside the road. There's also a reason car dealerships have offered lower and lower interest rates on longer and longer amortization periods. Your 16% loss is their gain, and any leverage (however small) they can layer on top of that gain magnifies it even more. For them, leverage comes in the form of ABS and receivables financing, both of which, by definition, likely have a lower rate than whatever interest rate "steal" they are offering you.
Posted by RedStickBR
Member since Sep 2009
14577 posts
Posted on 6/23/21 at 12:37 am to
quote:

However, before you answer that, I have a different question:

I'll give you a loan of $40k for the next 5 years at a 3.5% rate. You've got an investment that will net 6% after taxes per year. You're not going to take that deal because you also have a car? But seriously, explain to me like I'm 5 how you can come up with math that would suggest that's a bad deal.


Man, it's been a while since I've done one of these late-night rants:

If I was only ever going to drive for 5 years, maybe I'd do the deal.

If I knew I'd have to buy a new car in 5 years, I should probably account for that when thinking about the 3.5% rate (i.e. maybe I'd layer a "set aside" each year on top of that 3.5% in terms of thinking about whether the 6% actually covers me).

But here's the important point: in either scenario, I'd probably think about whether there was something better I could do with my money (both my own and that which I can borrow) than use finite debt capacity towards a car.

You're in the land of NPV and exclusivity (i.e. 6% > 3.5% so do the deal (ignoring, for the moment, things like depreciation and replacement cost)).

I'm in the land of IRR and maximizing the yield I get on every dollar I spend (both my own and those that are loaned to me).

Unless the only two options available to me within my opportunity set are buying a car with debt or buying a car without debt, I'd try to deploy those dollars elsewhere to begin with, given how horribly unattractive the "returns" on a car are.

quote:

I mean higher as in closer to zero. Your IRR calculation on paying for the car up front makes the IRR better (-14%) than the actually depreciation of the car (-16%). How is that possible?


The -16% doesn't take the reinvested savings into account during Y1-Y5 in which you don't have a car note. That's an intermediate value of sorts before taking any assumptions around opportunity cost into account.

Compare the figures in orange. In the home scenario, the Total IRR without leverage is 3.0%. Given that this is higher than your after-tax cost of debt, you can juice that return by using leverage.

Likewise, in the car scenario, the Total IRR is -14.2%. Given that this is lower than your cost of debt, leverage makes your return even worse, just as 2:1 leverage on a stock that returns -5% would generate a worse return than if no leverage were used.

Posted by slackster
Houston
Member since Mar 2009
84896 posts
Posted on 6/23/21 at 5:22 am to
quote:

A nice little tool? Come on, man. I’ve respected your financial opinion on here - don’t taint me


, didn’t mean for it to sound condescending. Appreciate the back and forth though, even if I disagree on the application of IRR here.

IRR would suggest you should never, ever, buy a car at all. Obviously that’s not practical, so once the decision to buy has been made, it’s a separate discussion about how to pay for it IMO.
Posted by Turf Taint
New Orleans
Member since Jun 2021
6010 posts
Posted on 6/23/21 at 11:49 am to
quote:

This is true, to an extent. Depreciation will catch up with you eventually. You can defer it, but the maintenance is coming. What's more, the assumed sale value in Year 5 is one of the major contributors to the return shown.


In my life's experience, I have come to believe that money/financial decisions are often more about psychology than math. Don't hear me wrong. Math is certainly important but sometimes misses the very human driven parts of behavior (eg, Long Term Capital Mgmt of 1990s case in point).

Some people are very passionate about their cars, status, sense of accomplishment, building wealth, combo of these, none of these, and many more. And most of the time, financial decisions are anchored in personal context that is very meaningful to them, and not others.

For me, we buy new and drive it until book value is next to nil. Generally, we use dealer financing (mostly time, at 0% for 60mos) and unwind invested $ set aside for car purchases (eg, in a VASGX type of asset/risk) to pay the monthly payment, earning +spread in doing so. After payoff, we continue to pay the note into similar asset for historically what has been 7-9 years per car, while driving car to its end.

Presently, we have 2 cars (1 seven years old, other twelve years old), no car notes and pumping 2 cars worth of notes ($1600+/month) into said investment acct for several years (and hoping a few more!).

Have yet to experience maintenance costs, breakdowns, or other to suggest this method is bad method. Not naive, but so far do good (knock / wood).

The options, choice, and great feeling of investing this $ per month from this method is hard to measure. Of course, blessed beyond measure and our personal context may not resonate for many -- especially the no-shame of driving a 12-yo car! Kidding).

P.S. We buy far nicer ones than I could imagine when growing up (lower-middle class). Grateful!



Posted by RedStickBR
Member since Sep 2009
14577 posts
Posted on 6/23/21 at 4:50 pm to
It looks like you have found an approach that works for you, allows you to be disciplined, and manages the generally poor economics of "investing" in a car. Hats off.

Having discussed this issue at some length now, I think we can agree with the following:

1. Given only one choice - i.e. whether to purchase a car with debt or without debt - it is likely wealth enhancing in the long-run to use debt for said purchase, assuming the realized return on retained cash exceeds (a) the cost of debt, plus (b) the depreciated value of the vehicle in the event you would liquidate prior to the end of its useful life. If (b) doesn't apply to someone's particular scenario, then the equation would reduce to: ROI > Cost of Debt = Use Debt and Invest Retained Cash.

2. Given multiple choices, and assuming finite cash and finite sources of debt financing, it is likely optimal to use less debt for things like cars and more debt for things like houses, given the latter generally appreciate in value. For instance, if one has a $10k car note, a $270k mortgage, and $50k equity in the home, it is likely optimal to refinance your home for $280k and use the excess to pay off the car note. Said reallocation from car debt to house debt should result in a better return over time, assuming Cost of Debt is equal in all scenarios, and assuming the aim is not to produce a net increase in one's total debt level.

My commentary in this thread has been primarily directed towards #2, and boiled down to its core, simply argues that debt used to finance appreciating assets is more productive than debt used to finance depreciating "assets."
This post was edited on 6/23/21 at 4:57 pm
Posted by RedStickBR
Member since Sep 2009
14577 posts
Posted on 6/23/21 at 4:58 pm to
quote:

IRR would suggest you should never, ever, buy a car at all. Obviously that’s not practical, so once the decision to buy has been made, it’s a separate discussion about how to pay for it IMO.



That's exactly right, which is why I said in my first substantive post in this thread:

quote:

TLDR: Put as little money as possible into cars. If you're a spendthrift who can't help yourself, take the money you'd otherwise spend on a nicer car and use it to buy a nicer house.
Posted by Nephropidae
Brentwood
Member since Nov 2018
2386 posts
Posted on 6/23/21 at 8:29 pm to
quote:

I DESPISE having monthly payments, on ANYTHING. Phone bill, gas bill, power bill, you name it. I hate it.
it’s all just inflows and outflows. Make inflow>outflow in your achieving years.

Also never start or own a business.
Posted by Turf Taint
New Orleans
Member since Jun 2021
6010 posts
Posted on 6/23/21 at 8:32 pm to
quote:

2


Reducing life to financial math, and all things equal, using debt for appreciating assets is more productive than using debt for depreciating assets. Concur.
Posted by Nephropidae
Brentwood
Member since Nov 2018
2386 posts
Posted on 6/23/21 at 8:38 pm to
quote:

Does the car depreciate less if you pay cash?
boom, checkmate.
Posted by Nephropidae
Brentwood
Member since Nov 2018
2386 posts
Posted on 6/23/21 at 8:52 pm to
quote:

debt to finance that depreciating asset and hoping to earn a higher return on the dollars saved than what you're losing on the car itself. Do you think you can earn 16% per annum? And even if you could, that's just going to get you to breakeven.
I understand this to be an argument if individual or entity sees and is using debt as a finite resource... maximizing the total credit available for ROA and using making the best decision for use of available credit.

Posted by RedStickBR
Member since Sep 2009
14577 posts
Posted on 6/23/21 at 8:55 pm to
quote:

I understand this to be an argument if individual or entity sees and is using debt as a finite resource... maximizing the total credit available for ROA and using making the best decision for use of available credit.



Yup - that’s the whole point.
Posted by Nephropidae
Brentwood
Member since Nov 2018
2386 posts
Posted on 6/23/21 at 8:57 pm to
quote:

My point is that, in addition to your point, spend as little as possible on cars to begin with, and instead use your finite debt capacity on assets that will actually generate a return.
I can get on board with this mindset if we are using total debt capacity as a finite pool available that you are actively trying to maximize.
Posted by slackster
Houston
Member since Mar 2009
84896 posts
Posted on 6/23/21 at 9:21 pm to
quote:

My commentary in this thread has been primarily directed towards #2, and boiled down to its core, simply argues that debt used to finance appreciating assets is more productive than debt used to finance depreciating "assets."


It makes me wonder though…

If you have $X amount of assets and $Y amount of debt at Z%, I still struggle to see how your net worth is any different now or down the road based on what the collateral of the debt is. I’m not trying to be difficult.
Posted by RedStickBR
Member since Sep 2009
14577 posts
Posted on 6/23/21 at 11:05 pm to
From a portfolio perspective, and using the simplifying assumption that cost of debt is equal across assets, you're correct that there's no difference.

However, begin to relax that assumption around equal costs of debt regardless of underlying collateral, and major differences begin to arise. For instance, if you compare the average 60-month auto loan rate to the average mortgage rate, you can see that mortgage financing is superior (except, perhaps, in the case of the one poster who mentioned he gets 0% auto loans over 60 months). And it's absolutely the collateral differential (one being appreciating, one being depreciating) that makes that interest rate differential possible (and the fact, that with home loans, the government shares some of the risk (via tax savings on interest expense)).



FWIW, in the corporate sector, entities exploit this portfolio diversification effect via the use of HoldCo financing, but I'm not sure of a similar mechanism for households. For instance, personal loan rates and HELOC rates are each higher than standard mortgage rates, but that could be in part due to the fact there are less restrictions on the use of those funds than there are for mortgages, or the fact HELOCs, for instance, likely have a second position relative to a first mortgage.

That said, a similar effect could be achieved by using your first mortgage as a primary source of financing for as many asset purchases as possible. Given that's the lowest cost source of debt financing for most people (particularly on an after-tax basis), that would again illustrate that home debt is superior to car debt.

This post was edited on 6/23/21 at 11:10 pm
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