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Math question...

Started by front_porch
about 2 months ago
Posts: 5290
Member since: Mar 2008
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Hi everyone, If an apartment was worth 1 million at 3.25 interest rates, what is worth today at 6.50 interest rates? Can you walk me through the math? Does the building's required percentage down make a difference?
Response by inonada
about 2 months ago
Posts: 7811
Member since: Oct 2008

What do you mean by “worth”? I’m not trying to be difficult, but answers to your question can vary greatly depending on what you are asking.

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Response by multicityresident
about 2 months ago
Posts: 2354
Member since: Jan 2009

Further to inonada's point, we need a lot more information - specifically what has happened to rent for similar apartment in the intervening years among other factors.

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Response by front_porch
about 2 months ago
Posts: 5290
Member since: Mar 2008

I'll PM you

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Response by nyc_sport
about 2 months ago
Posts: 800
Member since: Jan 2009

There is a deceptively "easy" way to think of the math on the worth of an asset based on interest rates, but nowhere outside of the strange world of residential real estate where folks often back into an "affordability" levels based on monthly carry costs would this idea raise its head. To be sure, the corporate world tests affordability of asset purchases based on the cost of acquisition, but that is just an input into the expected return and the cost of debt vs equity. The world survived when there were double digit mortgage rates in the 1970s/1980s, and high single government bond rates. I would expect/hope that any purchaser does not plan on paying out a mortgage for 30 years at current rates unless that turns out to be a better use of capital; they will either move or refinance.

One could think of the simple math like so. A $1MM apartment @20% down and 3.5% mortgage would yield a +/- $4,000/mo mortgage. The same $4k pmt @ 20% down and 6.5% mortgage would buy something sub $800k. That, in my view, is bad math. The price of a new car does not fluctuate with the lease payment, but may dampen sale activity.

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Response by front_porch
about 2 months ago
Posts: 5290
Member since: Mar 2008

thank you for the analysis, sport

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Response by 300_mercer
about 2 months ago
Posts: 10274
Member since: Feb 2007

Ali,

Sport is generally correct that there is less impact of higher interest rates than pure affordability analysis based on the mortgage rates would do. A couple of obvious reasons.

1. Incomes and hence $ affordability tends to go up with interest rates assuming inflation is the driver of increased rates. I will leave real interest rates and pre-payment benefit out of the discussion as it will become too complex even though I posted a model on one the posts to enterain NADA.

2. Supply and demand forces are far bigger driver. Otherwise, national home prices wouldn't be up 30 percent or so in the last 4 years while the mortgage rates are up more than 2.5%.

3. Somewhat related is buy vs rent analsysis which factors in current rents which in NYC are up significantly and lets you add future expectation of rent and price increases. That is probably the best tool available to individual buyers. There are several online versions. There used to be one at NYT which was pretty good. I am sure it is still there.

Of course for commercial, one could think of cap rates but individual home owners prefer that buy vs rent analysis.

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Response by multicityresident
about 2 months ago
Posts: 2354
Member since: Jan 2009

@nycsport - If you are ready to downsize to our neighborhood, come check out our place and please value it at Mr. MCR's bottom line, which is current ask. We are taking a bath at current ask and have four (4!) nieces who want to live there at maintenance cost as a rental. Only one of them can afford it, and I just want the apartment gone for my mental health.Our agent has no doubt the apartment will trade in the next sixty days. Her track record is impressive, but I have no expertise in Manhattan real estate and know that generally what I value and put money into does not align with broader preferences. Further to that point, there are no overhead lights in the apartment by choice.

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Response by anonymous
about 2 months ago

50% of before

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