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Aim: What is the math involved with purchasing a home?
Journal Writing:
1) The following are famous quotes about the
concept of “home.” Pick one and write whether you agree with it or
not. The response must be at least 100 words in length.
The ideal of happiness has always taken material form in the
house, whether cottage or castle. It stands for permanence and separation
from the world. -- Simone de Beauvoir
We need not power or splendor, Wide hall or lofty
dome; The good, the true, the tender, These form the wealth of home. -- Sarah J. Hale
Home, the spot of earth supremely blest, A dearer, sweeter spot than
all the rest. -- Robert
Montgomery
2) Find your own quotes on the Internet about
home.
http://geocities.com/Athens/Acropolis/2012/quote.html
(Search
for quotes about homes)
Use the quote to write a paragraph or poem about
your ideal home.
Learning Activities:.
Question
1
You and your spouse are considering buying a house that costs
$189,000. You have $80,000 in your savings account and have been
waiting to go on a $30,000 world cruise. The remaining $50,000 will be used
as a down payment on the house. You've decided to finance the house
with a 30-year loan.
Using
the World Wide Web :
look
up interest rates on a 30-year loan.
(You must look up at least two sites or find your own.) Enter the rate
(as a percentage) into cell F8.
Calculate the first month's interest payment in cell C8 using the
formula "= B7*$F$8/12". Replicate this formula down to cell C367
(the amounts in the replicated cells will equal zero until you complete the
next step). In cell B8, you will calculate the amount of the loan still owed
after one month. This amount is equal to the amount in B7, plus the amount of
interest listed in cell C8, minus the constant payment amount in cell F9. The
formula will be "= B7 + C8 - $F$9". Replicate this formula down to
cell B367. (see attached excel work sheet completed as an example)
You
are now going to use trial and error to calculate a monthly payment so that
the amount owed on the loan after 30 years (shown in cell B367 and also in
cell F10) is equal to $0. Start with a payment of $1000 and adjust as needed.
Since you will not be able to get the amount exactly to $0, estimate the
monthly payment to the nearest dollar.
Question 2
A friend has
suggested that you may want to wait a few years before taking your big cruise
and use the cruise money as part of the down payment on your house. He says
you will only need to take out a 15 year loan and that the monthly payments should
not change much at all.
Assume
a down payment of $80,000 and a loan term of 15 years. Check the web for rates on a 15-year
loan and enter it into cell M8. (Please use more than one site to compare
rates. Write down your
comparisons.) Use the technique above on the right side of the spreadsheet to
calculate a monthly payment with this new information (again, to the nearest
dollar).
Assuming
a down payment of $80,000 and loan term of 15 years, what will your monthly
payment be? Use the World Wide Web to find the interest rate on a 15-year
loan, and use the same method as in Question 1 to calculate your result.
Question 3
After realizing that the monthly payments would be about the same
with either choice, you tell your friend that you’re going to go on the
cruise now since you plan on selling your house in ten years. Your friend says that it's still not
a good idea, and says it’s "all about equity". What is your friend
talking about?
Equity represents the amount of the house that you own at any given moment. It’s defined as the current price of
the house minus the amount you still owe to the bank. Lets start with the
first example and calculate the equity you’d have in the house after 10
years. Column “B” represents the
balance of the loan, or the amount still owed to the bank. Cell B127 shows the amount owed after
10 years. Subtract this from
$189,000. (Enter =189000-b127 in
cell F14).
Calculate the same result for Scenario 2. (Enter =189000-I127 in cell M14). Subtract the price of a cruise ($30,000)
from this amount and compare.
How much extra money would you have if you waited 10 years to take
your cruise?
NOTE: The above calculation neglects inflation. In the real world, the value of the
house would probably increase over ten years. The price of the cruise would probably increase as well.
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