What is the formula for calculating a 30 year mortgage

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By default $250,000 30-yr fixed-rate loans are displayed in the table below. Filters enable you to change the loan amount, duration, or loan type.

Add All Fixed Costs and Variables to Get Your Monthly Amount

Figuring out whether you can afford to buy a home requires a lot more than finding a home in a certain price range. Unless you have a very generous — and wealthy — relative who's willing to give you the full price of your home and let you pay it back without interest, you can't just divide the cost of your home by the number of months you plan to pay it back and get your loan payment. Interest can add tens of thousands of dollars to the total cost you repay, and in the early years of your loan, the majority of your payment will be interest.

Many other variables can influence your monthly mortgage payment, including the length of your loan, your local property tax rate and whether you have to pay private mortgage insurance. Here is a complete list of items that can influence how much your monthly mortgage payments will be:

Interest Rate

Small Rate Changes Can Have a Big Impact on Your Budget

The most significant factor affecting your monthly mortgage payment is the interest rate. If you buy a home with a loan for $200,000 at 4.33 percent your monthly payment on a 30-year loan would be $993.27, and you would pay $157,576.91 in interest. If your interest rate was only 1% higher, your payment would increase to $1,114.34, and you would pay $201,161.76 in interest.

Getting the best interest rate that you can will significantly decrease the amount you pay each month, as well as the total amount of interest you pay over the life of the loan.

Loan Term

A 30-year fixed-rate mortgage is the most common type of mortgage. However, some loans are issues for shorter terms, such as 10, 15, 20 or 25 years. A shorter term can raise your monthly payment, but it decreases the total amount you pay over the life of the loan as the principal is paid off quicker and loans with a shorter duration typically have a lower interest rates. For example, for that same $200,000 house with a 4.33 percent interest rate, your monthly payment for a 15-year loan would be $1,512.67, but you would only pay $72,280.12 in interest. You would also pay off your loan in half the time, freeing up considerable resources.

Private Mortgage Insurance

Unless you come up with a 20 percent down payment or get a second mortgage loan, you will likely have to pay for private mortgage insurance. PMI protects the lender in case you default on the loan. The cost of PMI varies greatly, depending on the provider and the cost of your home. However, you could pay as much as a couple hundred dollars each month for PMI, in addition to your principle and interest.

Property Taxes

Most lenders allow you to pay for your yearly property taxes when you make your monthly mortgage payment. Some may even require it. Your estimated yearly payment is broken down into a monthly amount, which is stored in an escrow account. Your lender then pays your taxes on your behalf at the end of the year. The amount may fluctuate if your county or city raises the tax rate or if your home is reevaluated and increases in value.

Property Insurance

Just like you have to carry insurance for your car, you have to carry insurance for your home. This protects you and the lender in case of a fire or other catastrophic accident. Most lenders allow you to include your property insurance in your monthly mortgage payment. Just like with PMI, the monthly amount is put into an escrow account, and the bill is paid on your behalf.

HOA Fees

Some homes — especially condominiums and town homes — are part of a housing community that includes a community pool, fitness center and other amenities, such as lawn care. If you buy a home in such a community, you will have to pay homeowner's association fees. The amount depends on the community in which you live, but the fees can be $100 to $200 per month.

Using the above calculator can help you put together all of these complex variables to get a clear picture of your monthly mortgage payment so you know exactly how much to expect.

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What is the formula for calculating a 30 year mortgage in Excel?

=PMT(5%/12,30*12,180000) The NPER argument is 30*12 for a 30 year mortgage with 12 monthly payments made each year. The PV argument is 180000 (the present value of the loan).

How are 30 year fixed loans calculated?

Equation for mortgage payments number of payments over the loan's lifetime Multiply the number of years in your loan term by 12 (the number of months in a year) to get the number of payments for your loan. For example, a 30-year fixed mortgage would have 360 payments (30x12=360).

How is monthly mortgage interest calculated?

The monthly mortgage payment formula your monthly interest rate Lenders provide you an annual rate so you'll need to divide that figure by 12 (the number of months in a year) to get the monthly rate. If your interest rate is 5 percent, your monthly rate would be 0.004167 (0.05/12=0.004167).

What is the mortgage for 30 years?

A 30-year mortgage spreads out the cost of your home over the 30-year term. That gives you more time to pay it off. Because of this, you pay a lower monthly payment than you would for the same property with a 15-year or 20-year mortgage.

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