Mortgage Calculator
Estimate your monthly mortgage payment with taxes, insurance, PMI, and HOA fees.
Compare renting and buying with mortgage costs, rent growth, appreciation, sale costs, and invested savings.
| Year | Home value | Loan balance | Buy wealth | Rent wealth | Advantage |
|---|
The decision point shows when buying is estimated to overtake renting under your assumptions. It is a planning model, not a prediction of home prices, rent growth, or investment returns.
The estimate can be misleading if local prices, taxes, insurance, rent growth, investment returns, or your expected stay length are very different from the assumptions entered.
Compare buying a home with continuing to rent under the assumptions you enter.
The result is not a prediction of the housing market. It is a planning model that shows which assumptions matter most.
The most important inputs are usually how long you stay, the mortgage rate, home appreciation, rent growth, and investment returns.
Buying can build equity, but it also adds transaction costs and ownership costs. Renting can preserve cash for investing, but rent can rise over time.
The calculator estimates buying wealth, renting wealth, and annual cash outflow year by year.
M = L \cdot \frac{r(1+r)^n}{(1+r)^n - 1}
L is the loan amount, r is the monthly mortgage rate, and n is the number of monthly payments. At 0% interest, the loan is divided evenly over the term.
\operatorname{PMI} = \begin{cases} \frac{L \cdot p}{12}, & \frac{B}{H} > 0.8 \\ 0, & \frac{B}{H} \le 0.8 \end{cases}
PMI is estimated from the original loan amount while the remaining loan balance is above 80% of the purchase price.
C_b = M + T + I + R + A + \operatorname{PMI}
T is property tax, I is homeowners insurance, R is maintenance, and A is HOA dues.
\Delta = (V - B - S + O) - (Q + D)
V is home value, B is loan balance, S is selling costs, O is owner-side invested savings, Q is renter-side invested savings, and D is the returned security deposit.
Buying wealth is estimated as sale proceeds after the remaining loan balance and selling costs, plus any monthly savings invested when owning is cheaper than renting.
Renting wealth starts with the cash not used for a down payment and buying closing costs, then adds monthly savings when renting is cheaper than owning.
Monthly ownership cost includes principal and interest, property tax, insurance, maintenance, PMI, and HOA dues. Principal payments build equity, while interest, taxes, insurance, maintenance, PMI, HOA dues, closing costs, and selling costs are treated as costs of ownership.
The PMI assumption follows the Consumer Financial Protection Bureau's guidance on conventional PMI cancellation. Its home loan toolkit also supports comparing taxes, insurance, closing costs, and other ownership expenses alongside the mortgage payment.
Built and maintained by utilkit. Found an issue? Send corrections to contact@utilkit.com
Estimate your monthly mortgage payment with taxes, insurance, PMI, and HOA fees.
See how extra mortgage payments can reduce interest, shorten payoff time, and change your amortization schedule.
Compare your current mortgage with a refinance offer to estimate monthly payment change, payoff timing, closing cost break-even, and total cost difference.