I don't know how people survive, let alone thrive, without math...
  1. First, I did several simulations in Excel
    I found average house prices, mortgage rates and rental prices. Plugged in expenses. I ran a few different scenarios. In the end, I found the odds of losing less money on owning a home than rwnting were greater than the other way around (losing less money on renting). I even found that the financial situations of renting an apartment versus buying a home were pretty even but accounting for the fact that my happiness will be greater in a home, the buying came out on top.
  2. When looking, I applied the optimal stopping algorithm
    The first 10 houses we looked at, we didn't even consider buying. But we got a threshold. The next house we saw that was better than that threshold, we bought. Optimal stopping is ideal for home hunting... and it worked out exceptionally well in my case.
  3. Negotiating loans
    We got a parent loan, but there were a lot of suggestions and negotiations thrown around... lucku for me and math, we were able to find a deal that both gave our lenders a better return than they were getting from their bank and also saved us a lot of money. I don't want to go into crazy detail here because it is a little personal.
  4. Pay off loan or save
    Also with math and some simulations I'm able to predict where I should put my money in order to come out with the most when I retire. Will a 1.5% return on investment be better in 40 years or should I pay down the loan? It's a bit of guessing but math does help.
  5. I love math.