mortgage maths assignment

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Finance and capital markets

Course: finance and capital markets   >   unit 2, introduction to mortgage loans.

• Mortgage interest rates
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• Finite geometric series word problem: mortgage

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Video transcript

• Compare & Save
• Calculators
• Lead Buyer Program

Mortgage Basics

Mastering Mortgage Math: A Step-by-Step Guide to Calculating Different Mortgage Payments

Table of contents

Are you a first-time homebuyer trying to navigate the complex world of mortgage payments? Or maybe you’re a seasoned homeowner looking to refinance and want to ensure you get the best deal. The world of mortgages and trying to make sense of mortgage math can get confusing even for the most analytical minds. 

Whether you’re a numbers whiz or just trying to make sense of how your payments are calculated, this comprehensive guide will walk you through the step-by-step process of calculating different mortgage payments. By the end of this guide, you will better understand how payments are calculated so you can take control of your finances.

Key Takeaways

• A mortgage is a loan used to purchase a home or property and consists of principal and interest components.
• Mortgage calculators simplify calculations, allowing users to experiment with different scenarios and financial outcomes.
• Exploring ways to accelerate paying off your mortgage can help you save time and money.

Understanding the Basics of Mortgage Math

When it comes to mortgage math, starting with a solid foundation and understanding the basics will help you grasp more complex calculations. A mortgage is a loan used to purchase a home or property. The borrower agrees to repay the loan, plus interest, over a set period, called the amortization. 

The monthly mortgage payment consists of two main components: principal and interest. The principal is the initial amount borrowed, while the interest is the cost of borrowing money from the lender.

You need the mortgage amount, interest rate, and amortization to calculate your monthly mortgage payment. The mortgage amount is the total value, while the interest rate is the percentage the lender charges for borrowing the money. The amortization period is the length of time based on what you selected when obtaining your mortgage. On prime mortgages, 25 years is generally the most popular option among Canadians, though you can have an amortization of up to 30 years, depending on your down payment amount. 

Subprime and private mortgages are available with higher amortizations or interest-only payments (never required to make payments to the principal balance). These types of mortgages generally require a bigger down payment and come with higher rates as the lender is willing to take on more risk to carry the borrower’s mortgage.

Armed with this information, you can use a mortgage calculator or a mathematical formula to determine your monthly payments. 

Calculating your total interest paid over the life of the mortgage can also be important. The total interest tells you how much money you’ll pay in interest over your mortgage’s entire amortization. By understanding the impact of interest, you can make better decisions about your mortgage, such as whether it’s cost-effective to refinance for a lower interest rate before your mortgage term has ended.

Different Types of Mortgage Payments

Mortgages come in two types: fixed-rate and variable-rate, and each option has its advantages and disadvantages. The mortgage type you choose will affect your mortgage payments. 

Fixed-Rate Mortgages

Fixed-rate mortgages have a fixed interest rate that remains the same throughout the mortgage term. This means your interest rate won’t change until the end of each term when you come up for renewal. Payments on fixed-rate mortgages will remain the same for the duration of the mortgage term. Some lenders may offer the option to early renew or blend & extend your fixed-rate mortgage before the completion of your term.

Variable Rate Mortgages

Variable-rate mortgages have fluctuating interest rates, and monthly payments can either remain the same or change depending on which variable-rate mortgage option you choose. 

Variable-rate mortgages (VRM) have fixed payments that do not change with changes in the interest rate over the term. If interest rates increase, more of your mortgage payment goes toward the interest portion and less to the principal. If rates decrease, more of your payment will go toward the principal portion as less is needed for the interest. Payments on VRM mortgages will remain the same for the mortgage term, regardless of any changes to interest rates. 

Adjustable-rate mortgages (ARM) have adjustable payments that change with changes to the interest rate over the term. This means that the interest portion of your payment will adjust and either increase or decrease alongside changes to the lender’s prime rate. With adjustable-rate mortgages, your monthly mortgage payments could increase or decrease as often as interest rates change over the term. 

Calculating Monthly Mortgage Payments

Calculating your monthly mortgage payment will help you understand your financial obligations and budget effectively. You can use the following formula to determine your monthly mortgage payments. 

M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1 ]

M = Monthly mortgage payment

P = Principal (total mortgage amount)

i = monthly interest rate (annual interest rate divided by 12)

n = Total number of monthly payments (mortgage amortization in years multiplied by 12)

For example, let’s say you have a $500,000 mortgage with an interest rate of 5.14% and an amortization of 25 years. To calculate your monthly payment, you would plug in the values into the formula as follows:

M = 500,000 [(0.0514/12)(1 + (0.0514/12))^300] / [(1 + (0.0514/12))^300 – 1]

M = 500,000 [0.00428333(1 + 0.00428333)^300] / [(1 + 0.00428333)^300 – 1]

M = 500,000 [0.0154403705] / [2.60475856433]

M = 2963.87748013

Your monthly mortgage payment is approximately $2,964. Remember to always round up to ensure you have budgeted enough funds to cover the monthly payment, as rounding will impact the output of the equation. 

Using a mortgage payment calculator can simplify this process. Many online calculators allow you to input your mortgage amount, interest rate, and amortization, and they will calculate your monthly payment. This can be helpful if you’re uncomfortable with complex mathematical formulae or want to quickly and easily compare different mortgage scenarios.

Using Mortgage Calculators to Simplify the Process

Mortgage calculators can simplify calculations and provide a more accurate estimation. They allow you to experiment with different mortgage amounts, interest rates, and amortizations to see how they affect your monthly payment and total interest costs. By inputting various scenarios, you can compare the outcomes and find ways to save interest-carrying costs on your mortgage.

FTHB Mortgage Payment Calculator 

Our mortgage payment calculator can help first-time homebuyers (FTHB) input details of the home they wish to purchase and estimate monthly mortgage payments giving them a head start on budgeting for this expense. 

You can use the calculator to run scenarios based on the home’s asking price, the amount you have saved for a down payment, the amortization period, and payment frequencies. Run test scenarios to see how your down payment affects the amount you need to borrow, whether mortgage default insurance (CMHC) will be required, and how this could impact your mortgage payments. 

Renewal  Mortgage Payment Calculator 

Our mortgage renewal calculator can make it easier for those homeowners coming up for renewal to estimate and run scenarios and calculate their future mortgage payments. 

You can use our calculator to run scenarios by entering the current value of your home, the balance remaining on your mortgage, the remaining amortization, and payment frequency.  Run test scenarios to see how changing the payment frequency to an accelerated option can save interest-carrying costs and pay off your mortgage sooner by reducing amortization. 

Refinance Mortgage Payment Calculator 

Our mortgage refinance calculator makes it easy for those looking to refinance their mortgage to run scenarios and calculate future mortgage payments. 

You can use the calculator to run scenarios based on the current value of your home, the balance remaining on your mortgage, the remaining amortization, payment frequency, and mortgage rate. By selecting the purpose of the refinance (lower mortgage payments, access equity, or change amortization), you can quickly and easily compare the total interest you will pay over the term with your mortgage. This cost analysis will allow you to quickly compare if a refinance makes sense for your situation and comes with cost-saving benefits. 

Understanding the Impact of Interest Rates on Mortgage Payments

Interest rates play a significant role in determining your mortgage payment and the overall cost of homeownership. Even a small change in interest rates can substantially impact your monthly payment and the total interest paid over the life of the mortgage. 

Various factors influence interest rates, including economic conditions, inflation, and monetary policies. When interest rates are low, borrowing becomes more affordable as the cost of borrowing decreases. This means your monthly mortgage payment will be lower, allowing you to afford a more expensive property or reduce your monthly mortgage payments.

On the other hand, when interest rates are high, borrowing becomes more expensive as the cost of borrowing increases. This leads to higher monthly mortgage payments and potentially limits your purchasing power. Additionally, high-interest rates can result in higher total interest paid over the life of the loan, increasing the overall cost of homeownership.

To illustrate the impact of interest rates, let’s use figures from our monthly mortgage calculation above. A $500,000 mortgage with a 25-year amortization with an interest rate of 5.14% has an approximate monthly payment of $2,964. If the interest rate increases to 6.14%, the monthly payment would increase to approximately $3,266. The 1% increase in the interest rate equates to an additional $302 per month. 

To simplify this math further, consider that each $100,000 mortgage balance over a 25-year amortization has a $15 increase each time interest rates are bumped up by 25 bps (a basis point equals 0.01%) – the same as 0.25%.

This example demonstrates the importance of shopping around for the best interest rates and considering the long-term financial implications. Even a slight reduction in interest rates can save you a significant amount of money over the life of your mortgage.

Exploring the Benefits of Making Extra Mortgage Payments

Making extra mortgage payments can be a smart financial move that can save you thousands of dollars in interest-carrying costs and help you pay off your mortgage faster. By allocating additional funds toward your principal balance, you reduce the total interest you will pay over time and reduce your amortization.

There are a few strategies you can leverage to make extra mortgage payments. One common approach is to make a prepayment on the principal portion of your mortgage, which depending on your lender’s criteria, can either be made as a lump sum or by dividing it into smaller payments over the year. This can help you pay off your mortgage faster and save on interest.

Another strategy is to round up your payment to the nearest hundred or even thousand. For example, if your monthly payment is $1,232, you could round it up to $1,300. The additional amount directly reduces the principal balance, total interest paid, and amortization.

The final strategy is to set up your payments using an accelerated payment frequency. Choosing an accelerated bi-weekly payment instead of bi-weekly will increase the total payments you make in a year from 24 to 26. Choosing an accelerated weekly payment instead of weekly will increase the total payments you make in a year from 48 to 52. Accelerated payments reduce your amortization and interest paid over the life of the mortgage since you are making a few extra payments per year. 

Before making any additional mortgage payments, check with your lender to see what prepayment privileges are available on your mortgage to avoid potential penalties. Some lenders will charge fees for paying off too much of the principal or may limit the number of extra payments you can make per year. Some lenders will even limit your prepayment privilege to be exercised only on your mortgage anniversary date, limiting your ability to make a prepayment when you receive your bonus or get a windfall.

Frequently Asked Questions

How are mortgage payments calculated.

Mortgage payments are made up of 2 parts: principal and interest. The principal is the amount you’ve borrowed to purchase your home, and the interest is the cost the lender charges for borrowing money. Your mortgage payment is the sum of these two amounts divided by the number of payments over your mortgage term.

What is amortization?

Amortization refers to the life of the mortgage, which is the time it takes to repay the principal and interest you borrowed. Typically, if your down payment is less than 20%, the longest you can amortize is 25 years. 

How frequently can you make mortgage payments?

Mortgage payments can be made weekly, bi-weekly, or monthly. You can also make payments on an accelerated bi-weekly or weekly basis to reduce interest-carrying costs and the time it will take to pay off your mortgage. 

Final Thoughts: Mastering Mortgage Math for a Smarter Home-Buying Experience

Understanding mortgage math or how to use mortgage calculators to your advantage is a must for anyone looking to purchase a home or with an existing mortgage. Utilizing mortgage calculators and exploring the impact of interest rates on your mortgage payments can help you determine what works best for your financial situation and help you find ways to save money. By understanding the basics and how to calculate monthly payments, you can put this knowledge to work and find ways to compare and save on your mortgage.

Related articles in: Mortgage Basics

What Is a Cashback Mortgage?

How Are Mortgage Brokers Paid?

Real Estate Math Questions & Cheat Sheet (August 2024) 50+

How much math is on the real estate exam, how much math will i use as a real estate agent , is real estate math difficult, real estate math definitions.

The most important factor in understanding real estate math is to learn the words that go along with it. And guess what? By far, the most substantial chunk of the real estate exam is the vocabulary and definitions. By understanding both, you are already a step closer to acing the exam and understanding real estate math!

For a more extensive list, here is our  full list of real estate terms & definitions .

Real Estate Math Formulas 

Simple interest formula, commission formula, gross rent multiplier formulas.

Gross Rent Multiplier = (property price) / (gross rental income)

28/36 Rule or “The Mortgage Rule of Thumb.” Formula

Discount points formulas, property tax formulas.

1 mill = equal to 1/1,000th of a dollar or $1 in property tax. 

Other Useful Real Estate Math Formulas

As many of you know, agents are licensed salespersons who work under a broker. Agents cannot work independently, and therefore are prohibited from being paid a commission directly by consumers. Brokers, on the other hand, are able to work independently. So it’s worth noting, that all commission must be paid directly to the broker, then the broker splits the commission with his/her agents. 

Gross Rent Multiplier

28/36 rule or “the mortgage rule of thumb.”, discount points, calculating property tax, assessed value, and mill or millage rate, calculating property tax deductions.

Remember find out your state rates for deductions and practice up and you’ll be a master at property tax problems.

Meaning Marissa owes the seller $1,000 in real estate taxes.

Ready to get started?

Real estate math practice questions, 35 math questions on the real estate exam, real estate math downloadable cheat sheet, want real estate exam prep, get exclusive real estate exam tips.

Mortgage Formula with Examples

The mortgage formula for repayment of a mortgage is presented along with exmaples and their solutions. Also if needed, a mortgage calculator is included.

Mortgage Payment Process

A mortgage is a type of loan that helps people or businesses buy a property like a house or a commercial building. When you take out a mortgage, the bank or lender gives you the money you need to pay for the property right away. You then pay back the loan, along with interest, over a number of years. This can be a long time, usually around 15 to 30 years. Let \( R \) be the annual interest and \( N \) the number of years to repay the loan. Since the payment of the loan is on a monthly basis, let the monthly rate of interest be: \( \qquad r = \dfrac{R}{12} \) and the number of months in \( N \) years be \( \qquad n = 12 \times N \) let \( P \) be the amount you need to buy a house for example. So the bank will agree to lend you the money on the condition that you pay back the loan plus interest. Let \( M \) be the monthly payments for the mortgage. At the start, the amount owed is: \( \; A_0 = P \) The amount owed at the end of the first month is \( \qquad A_1 = A_0(1 + r) - M \\ \qquad \qquad = P(1 + r) - M \) Explanantion: within a month, the amount owed \( p \) has inreased by \( r P \) which gives \( P(1+r) \) but you pay back \( M \) and hence the \( - M \) in the above expression. The amount owed at the end of the second month is \( \qquad A_2 = A_1 (1+r) - M \\ \qquad \qquad = \left( P(1 + r) - M \right)(1+r) - M \\ \qquad \qquad \qquad = P(1+r)^2 - M(1+(1+r)) \) Explanantion: within a month, the last amount owed \( A_1 \) has inresred by \( r A_1 \) which gives \( A_1(1+r) \) but you pay back \( M \) and hence the \( - M \) in the above expression. The amount owed at the end of the third month is \( \qquad A_3 = A_2(1 + r) - M \\ \qquad \qquad = \left( P(1+r)^2 - M(1+(1+r)) \right) (1+r) - M \\ \qquad \qquad \qquad = P(1+r)^3 - M (1 + (1+r) + (1+r)^2 ) \) Explanantion: within a month, the last amount owed \( A_2 \) has inresred by \( r A_2 \) which gives \( A_2(1+r) \) but you pay back \( M \) and hence the \( - M \) in the above expression. . . and so on Examining \( A_1 \), \( A_2 \) and \( A_3 \), we can write that the amount owed at the end of the \( n^{th} \) month is \( \qquad A_n = P(1+r)^n - M (1 + (1+r) + (1+r)^2 + ... + (1+r)^{n-1} ) \qquad (I) \) The sum \( \qquad 1 + (1+r) + (1+r)^2 + ... + (1+r)^{n-1} \qquad (II)\) is a geometric sequence sum and we need to simplify it.

Review Geometric Sequence Sum

The geometric sequence sum \( S_n \) defined by \( \qquad S_n = a_1 + R \times a_1 + R^2 \times a_1 .... R^n \times a_1 \) is given by the formula \[ \qquad S = a_1 \dfrac{R^{n+1} - 1}{R - 1} \] \( \qquad a_1 \) is the first term and \( R \) is the common factor.

Formula for Payment

Use the above formula to simplify the geometric sequence sum in \( II \) above \( \qquad 1 + (1+r) + (1+r)^2 + ... + (1+r)^{n-1} \\ \qquad \qquad = \dfrac{(1+r)^{n}-1}{(1+r) - 1} \\ \qquad \qquad \qquad = \dfrac{(1+r)^{n} - 1}{r} \) Hence The amount \( A_n \) owed after n months is given by \( \qquad A_n = P(1+r)^n - M (1 + (1+r) + (1+r)^2 + ... + (1+r)^{n-1} ) \\ \qquad\qquad = P(1+r)^n - M \dfrac{(1+r)^{n}-1}{r} \) Payment is made until the amount \( A_n \) owed is equal to zero. Hence the equation \( \qquad P(1+r)^n - M \dfrac{(1+r)^{n} - 1}{r} = 0 \) Solve the above to find the monthly payment \[ \qquad M = \dfrac{r \; P\; (1+r)^n}{(1+r)^{n} - 1} \] The formula may also be written as \[ \qquad M = \dfrac{ \left(\frac{R}{12}\right) \; P\; (1+\frac{R}{12})^{12\times N}}{(1+\frac{R}{12})^{12 \times N} - 1} \qquad (III) \] where \( R \) is the annual interest, \( N \) is the number of years to repay the loan and \( P \) is the initial loan.

Example 1 A loan of \( $ 250,000 \) was obtained at a bank with a fixed rate of \( 4.5 \% \). What should be the monthly payment so that the loan and the interest are paid in \( 25 \) years? Solutions Given \( R = 5.25 \% = \dfrac{5.25}{100} = 0.0525 \) \( N = 25 \) and \( P = 250,000 \) Substitute the known quantities in formula \( III \) above: \( \qquad M = \dfrac{ \frac{0.045}{12} \times \; 250000\; (1+\frac{0.045}{12})^{300}}{(1+\frac{0.045}{12})^{300} - 1} \approx $ 1390\) Example 2 You need a loan of \( $ 300,000 \) and the bank offered a fixed rate of \( 5.25 \% \). You can afford \( $ 2100 \) as a monthly payment for the loan. What should be the term of payments if you want to pay the loan in the shortest period of time? Solutions Given \( P = 300,000 \) \( M = 2100 \) and \( R = 5.25 \% = \dfrac{5.25}{100} = 0.025 \) Substitute the known quantities in formula \( III \) above to obtain the equation \( \qquad \dfrac{ \frac{0.0525}{12} \times \; 300000\; (1+\frac{0.0525}{12})^{12 \times N}}{(1+\frac{0.0525}{12})^{12 \times N} - 1} = 2100 \) Let \( x = (1+\frac{0.0525}{12})^{12 \times N} \) and rewrite the equation as \( \qquad \dfrac{ 1312.5 \; x }{x - 1} = 2100 \) Rewrite the above equation as \( 1312.5 \; x = 2100 x - 2100 \) and solve for \( x \) \( x = 2.66666 \) Substitute \( x \) by its expression \( (1+\frac{0.0525}{12})^{12 \times N} = 2.66666 \) Take \( \ln \) of both sides \( 12 \times N \; \ln (1+\frac{0.0525}{12}) = \ln 2.66666 \) Solve for \( N \approx 18.72325\) A term of \( 20 \) years is suitable to repay the loan of \( $ 300,000 \) at the fixed rate of \( 5.25 \% \).

Links and References

• Mathematical Finance
• Geometric Sequence Sum
• Mortgage Calculator

Mortgage Math

Any math-related questions can be answered with the following articles.

• What are the HOEPA Triggers?
• How to Calculate Temporary and Fixed Interest Buy-Downs
• How to Calculate Interest-Only Payments (Periodic Interest)
• How to Calculate Adjustable Rate Mortgages (ARMs)
• How to Calculate DTI (Debt to Income Ratios)
• Qualifying Monthly Payment
• Calculating Income

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Mortgages and spreadsheets

This Core Maths task involves the analysis of mortgage repayments and requires the calculation of percentages and the use of a spreadsheet.

A help sheet is included in the materials for students who are not confident with spreadsheets.

The task is suitable for work in pairs or small groups. The presentation is intended to be used to introduce the task. Students are then asked to design a model to describe the situation set out in the presentation.  Students can then present their findings to the whole group. 

The teachers' notes provide a suggested approach to the task and suggestions for possible extensions. A specimen spreadsheet solution is also available. 

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Here's Why I Stopped Making Extra Payments on My Mortgage

Published on Aug. 13, 2024

By: Danielle Antosz

Small business writer

• Paying off your mortgage eliminates a large monthly expense.
• Because of my low mortgage rate, it makes more sense to save and invest than to pay extra.
• If you have a higher interest rate, figure out how much you could save in interest and consider the emotional impact of paying off your mortgage.

In 2021, I relocated from Chicago to Ohio and purchased a home. I got a 30-year mortgage , but I wanted to pay it off as quickly as possible, so I was diligent about making extra payments (and making sure my mortgage lender put the extra cash toward the principal, not future payments!).

At the time, it made sense. My mortgage interest rate was low, but interest rates for certificates of deposit (CDs) and high-yield savings accounts were also low, the market seemed volatile, and I wanted to pay off the mortgage as quickly as I could. It felt good to know that just a few hundred dollars here or there would take months off of the life of my mortgage.

Paying off my low-interest mortgage was giving away free money

My mortgage rate is locked in at below 4%, which means I can earn more money putting extra payments in a high-yield savings account. Let's say over the course of a year, I could pay $10,000 extra toward my mortgage. (I chose that number for ease of math, not because I have an extra $10,000 laying around.)

Let's see what that would look like after 10 years:

• If I put $10,000 in a savings account and add $833 a month (so $10,000 a year) and assume a 5% return (close to what my current savings account offers), after 10 years, I'll have $145,820 , thanks to compound interest. It's worth noting that savings account interest rates are unusually high right now, and are likely to fall before 10 years are up.
• Assuming an original loan of $320,000 on a 30-year loan at 4% interest (and considering I've already paid on it for three years), paying an extra $833 would save me $99,965 in interest.

By not paying off the mortgage early and instead putting the money in a high-yield savings account, I'll earn an extra $45,855 ($145,820 minus $99,965) over 10 years. ​And that's just putting it in a savings account. If I invested the money and got closer to 8% returns, I could earn a whole lot more.

There is an emotional aspect to paying off your home

Looking at the numbers, it's pretty clear that it makes more sense to save and invest than pay extra on your mortgage, right? But that ignores the emotional aspect of paying off your home. Paying off what is (for most of us) the largest purchase we'll ever make can be incredibly freeing. That extra money can be used to save or invest later and can give you breathing room in your budget.

Plus, if you're planning to retire soon or expect to pay for your kids' college education in a few years, it might make sense to pay extra now so that added mortgage expense is gone.

What if you have a higher interest rate?

I have a pretty low mortgage rate, so it makes sense for me not to pay extra. But if you have a higher interest rate, this math might not work the same way. Let's use the same numbers as we did before, but with a 7% mortgage rate:

• I'll still have $145,820 after 10 years if I put $10,000 in a savings account and add $833 a month, assuming that 5% return.
• If I have an original balance of $320,000 on a 27-year loan with 7% interest, I'll save $169,443.24 in interest by the time I pay off my loan, which is more than I'll make in a savings account.

There's a few other things to consider about this math:

• If I invested the $10,000 instead of putting it in a savings account, I could probably earn more than 4%. That might tip the scales so it makes more sense to invest than pay extra on the mortgage.
• The pay-off time for the mortgage example above is 13 years and six months, so I would save the $169,443.24 in 13.5 years, not 10.

As you can see, the conversation gets more complicated if you have a higher interest rate. For me, it makes no sense to pay off my low-interest mortgage and leave money on the table. To make the decision for yourself, consider your interest rate and the emotional impact of paying off your house.

Our Research Expert

Danielle is a small business and finance industry writer based in Ohio. She writes about tech, finance, and small businesses for The Ascent and other industry publications.

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You can easily download, print or embed Miass, Chelyabinsk Oblast, Urals, Russia maps into your website, blog, or presentation. Maps in the form of a static image display the same in all browsers.

Free images are available under Free map link located above the map on all map pages.

Be inspired.

It has been said that Maphill maps are worth a thousand words. That's certainly true. But it's still very little compared to what you can experience when you visit Miass, Chelyabinsk Oblast, Urals, Russia.

Visit Miass, Chelyabinsk Oblast, Urals, Russia.

Miass has a lot to offer. It is not possible to capture all the beauty in the maps.

Hotel bookings in Miass.

If any of Maphill's maps inspire you to come to Miass, we would like to offer you access to wide selection of nearby hotels at low prices and with great customer service. Book hotels online and save money. Best price is guaranteed.

Thanks to our partnership with Booking.com you can take advantage of large discounts for hotel bookings in Miass and withtin the area of Chelyabinsk Oblast.

Miass hotels

See the full list of destinations in Miass , browse destinations in Chelyabinsk Oblast , Urals , Russia , Asia or choose from the below listed cities.

• Hotels in Miass »
• Hotels in Chelyabinsk Oblast »
• Hotels in Urals »
• Hotels in Russia »
• Hotels in Asia »

Hotels in popular destinations in Miass

• Miass hotels »
• Turgoyak hotels »
• Leninsk hotels »
• Izvestkovyy hotels »
• Cheremshanka hotels »
• Indashtinskiye hotels »
• Mayak hotels »
• Kushtumga hotels »
• Selyankino hotels »
• Ural-Dacha hotels »
• Stroiteley hotels »
• Tyyelga hotels »
• Dinamo hotels »
• Mukhametovo hotels »
• Taly hotels »

Popular searches

A list of the most popular locations in Russia as searched by our visitors.

• Novosibirsk Oblast
• Ural Mountains
• Kabardino-Balkarian Republic
• Kaliningrad Oblast

Recent searches

List of the locations in Russia that our users recently searched for.

• Kursk Oblast
• Udskaya Guba
• Amur Oblast
• Bagaevskaya
• Pskov Oblast
• Ladozhskoe Ozero

The Maphill difference

No map type or map style is the best. The best is that Maphill enables you to look at Miass from many different angles and perspectives.

We automated the entire process of turning geographic data into map graphics. Thanks to that, we are able to create maps in higher quality, faster and cheaper than was possible before.

Different perspectives

The map of Miass in presented in a wide variety of map types and styles. Maphill lets you look at the same area from many different perspectives.

Fast anywhere

Maps are served from a large number of servers spread all over the world. Globally distributed delivery network ensures low latency and fast loading times, no matter where on Earth you are.

Easy to use

All maps of Miass are available as static images. You can print, download or embed maps very easily. No JavaScript, no API, no platform dependencies.

Vector quality

We create each map individually with regard to the characteristics of the map area and the relevant graphic style. Maps are assembled and kept in a high resolution vector format throughout the entire process of their creation.

Real Earth data

We only use data collected by the satellites or based on bathymetric surveys. All maps are constructed from real data. This is how the world looks like.

Experience of discovering

Maphill maps will never be as detailed as Google maps or as precise as designed by professional cartographers. Our goal is different. We want to redefine the experience of discovering the world through the maps.

Always free

Maphill was created with the goal of making the web a more beautiful place. Without you having to pay for that. All our map images are, and will always be, available for free.

Spread the beauty

Embed map of Miass into your website. Enrich your blog with quality map graphics. Help us to make the web a more beautiful place.

Maphill is the web's largest map gallery.

Get a free map for your website. Explore the world. Discover the beauty hidden in the maps.

Map graphics revolution.™