Not financial advice. Mortgage FV Calculator is a software calculator, not a personal-finance product or advisory service. It computes standard financial functions and displays the results for your convenience. Nothing here constitutes, or is intended to constitute, financial, investment, tax, legal, mortgage, credit, or insurance advice. Always consult a qualified professional before making any financial decision.
Ann Arbor mortgage calculator
A median-priced Ann Arbor, MI home at 6.75% over 30 years, with Michigan property tax of 1.38% and $1,900 a year of homeowners insurance. Every figure below is computed on our amortising engine — nothing is estimated in the browser.
$3,396 a month, all in
Principal and interest are $2,554; escrow and PMI add the rest. Over the full term the loan costs $525,638 in interest. Discounted at 5%, buying here has a net present value of $9,196 ($268,299 in today’s dollars).
Within Michigan, Ann Arbor is the most expensive of the 5 Michigan markets covered here. Prices here run 4.38x those in Detroit, the cheapest market listed, so a statewide average badly understates what a purchase costs on this side of the state.
Ann Arbor carries a premium over the rest of Michigan: a median home here runs $437,500, about 75% above the state median of $250,000. The deposit moves with it, so the same 20% down is $87,500 rather than $50,000.
Prices here have run ahead of rents: the local price index sits at 1.75 against a rent index of 1.40. A market where buying costs rise faster than renting does is one where the rent-vs-buy answer leans later — you need a longer hold before ownership wins.
Monthly cost in Ann Arbor vs comparable rent
Owning is stacked by component; renting is the local median asking rent.
The monthly breakdown
| Median home price | $437,500 |
|---|---|
| Down payment (10%) | $43,750 |
| Loan amount | $393,750 |
| Principal & interest | $2,554/mo |
| Property tax (1.38%) | $503/mo |
| Homeowners insurance | $158/mo |
| PMI while above 80% LTV | $180/mo |
| Total monthly payment | $3,396/mo |
| Comparable rent | $1,890/mo |
What a rate move does to the Ann Arbor payment
| Rate | Principal & interest |
|---|---|
| 5.5% | $2,236/mo |
| 6% | $2,361/mo |
| 6.5% | $2,489/mo |
| 7% | $2,620/mo |
| 7.5% | $2,753/mo |
| 8% | $2,889/mo |
Rent or buy in Ann Arbor?
Against $1,890 a month in rent, over 7 years renting leaves you about $99,826 better off — $83,980 once 2.5% inflation is stripped out. See the Michigan rent-vs-buy page.
Where these numbers come from
Michigan medians come from editorial and are refreshed weekly. The Ann Arbor figures index those state medians to the local market, so they track the same feed rather than going stale. Insurance and the state income tax rate are editorial. Treat everything here as a planning estimate, not a quote.