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Math · Consumer Math

Chapter 5: Major Purchases

Renting and Buying a Home

The largest number most people ever sign.

Lesson
2
Time
About 22 minutes
0 of 12 done

Step 1: Let's Learn

Read it, or press Listen and follow the words.

Renting costs the rent, a deposit and renter insurance. Repairs are the landlord problem, and moving is easy.

Buying

Buying needs a down payment and closing costs, then a mortgage payment plus property tax, insurance and maintenance.

The costs people forget

Property tax, home insurance and maintenance often add 30% or more on top of the mortgage payment itself.

Equity

Each mortgage payment builds a little ownership. That is the genuine advantage of buying, and it accumulates slowly at first.

The break-even

Buying costs a large amount up front, so it usually takes several years to beat renting. Below that, renting wins.

How much is affordable

A common guideline keeps total housing costs under about 30% of net income.

Renting and buying are different bundles

Renting buys occupancy and flexibility. Buying adds maintenance, tax, insurance and interest, alongside the possibility of building equity. Comparing rent against a mortgage payment alone omits most of the difference.

A mortgage is a long amortised loan

Over a long term, early payments are almost entirely interest. Total interest over the life of a thirty-year loan can approach or exceed the amount borrowed, depending on the rate.

The costs at purchase

Deposit, legal fees, survey, taxes and moving costs all arrive at once. Budgeting only for the deposit is the standard first-purchase error, and the remainder is not a small addition.

Ongoing costs continue

Maintenance, property tax and insurance do not stop, and unlike rent they are the owner's responsibility to forecast. A common planning rule sets aside a percentage of the property value annually for upkeep.

Step 2: Try It Yourself

Tap and try it out.

Monthly housing cost when buying. The mortgage payment is only the first bar.
Mortgage1200
Property tax300
Insurance100
Maintenance200

Mortgage has the most. It has 1100 more than Insurance.

Step 3: Watch an Example

One step at a time.

Watch Kofi Compare Two Options

Rent is $1500 a month. Buying means a $1200 mortgage plus $300 tax, $100 insurance and $200 maintenance.

  1. Step 1

    The buying total is 1200 + 300 + 100 + 200 = $1800 a month.

Step 4: Your Turn

Practice makes it stick.

The Total

Problem 1 of 2

Mortgage $1200, tax $300, insurance $100, maintenance $200. Monthly total in dollars?

dollars

The Down Payment

Problem 2 of 2

A 20% down payment on a $250000 home. How much, in dollars?

dollars

Rent or Buy

1 of 8

A 10% down payment on $200000. Amount in dollars?

2 of 8

A 20% down payment on $300000. Amount in dollars?

3 of 8

Mortgage $1000, tax $250, insurance $80, maintenance $170. Total in dollars?

4 of 8

Net income $5000 a month. What is 30% of it, in dollars?

5 of 8

Rent $1400 a month. Annual rent in dollars?

6 of 8

Which builds equity? 1 renting, 2 buying.

7 of 8

Sort each cost by which arrangement it belongs to.

Tap something to move it.

  • Empty
  • Empty

8 of 8

A 5% down payment on $180000. Amount in dollars?

Step 5: Quick Check

Show what you know.

Question 1 of 2

A 20% down payment on $200000. Amount in dollars?

Question 2 of 2

What do people most often forget when costing a home purchase?

What You Learned

  • Renting costs rent, a deposit and insurance; buying adds tax, insurance and maintenance.
  • Only buying builds equity, and it builds slowly at first.
  • Keep total housing costs under about 30% of net income.