Oops I hit return too quickly.
So I am trying to figure out the math of how much to borrow on a home purchase. Hypothetical: Say I buy a $500K house and I have $500K. I am just trying to figure out if it makes sense to borrow.
One option is to pay the house in full and be done with it.
Another option is to borrow some money and invest it. Say I can borrow $100K at 5% interest (yes I know that is below market, but bear with me). I won't have to pay income taxes on the interest payments. The monthly payments would be something like $525. Most of that amount would be interest, let's say $500. Assuming I am in a 35% marginal tax bracket, that saves me 500 x 12 x .35 = $2100 in income taxes. I can take that $100K and invest it with Fidelity in a money market fund that pays 5%. Of course, I have to pay 35% of what I make in taxes. So I make about $3250 per year from this $100K I borrowed (100,000 x .05 x .65 = $3250).
So at the end of the year, I have to pay $6300 in principal and interest (525 x 12). But of that, I get the benefit of the principal payments ($300). I also save about $2100 in income taxes, and I make about $3250 in interest from the Fidelity investment, which totals about $5650. So it cost me about $500 for the year to borrow $100K.
One flaw in all of these assumptions is that I can get a loan for 5%. By the same token, assuming a 5% return on investment from Fidelity is pretty conservative. I also simplified some of the calculations. But what did I miss here?
Does it make sense to borrow if you don't have to?