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NOYB wrote:
$100,000 mortgage at 5% for 30 years is $536.83 per month. $100,000 mortgage at 6% for 30 years is $599.55 per month. Using your numbers: $536.83 x 360 pmts = $193258 Cost of 5% money in your example is $93,258. $599.55 x 360 pmts = $215838 Cost of money in your 6% example is $115, 838 Here's an interesting observation: The 20% cost differentiation only applies when working the numbers from the top down! It's *greater* when working the numbers from the bottom up. $93,258 divided by $115,838 equals .80 (so there's the 20% I've been talking about) However, expressed as a percentage of increase the number is somehow larger than 20%! Proof: 93258 x 1.2 = 111,909, a few grand short of the actual new cost number at $115,838. (Again, I'm just taking your figures at face value without checking them.) From that perspective, 6% money can be shown to even *more* than 120% the cost of 5% money, not less. The mortgage payment at 6% is 11.683% more than the payment at 5%. How am I wrong? You're not "wrong" exactly, you're just using an increase in total payment to argue that *interest costs* don't increase as much as I have claimed. There is no number of 11.683% or even 12% that comes anywhere close to expressing the increased cost of the money when borrowing at 6% vs 5%. |
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