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Buying a House - College Algebra – Group Project | MATH 1050, Study Guides, Projects, Research of Algebra

Material Type: Project; Class: College Algebra (QL); Subject: Mathematics; University: Salt Lake Community College; Term: Spring 2003;

Typology: Study Guides, Projects, Research

Pre 2010

Uploaded on 08/18/2009

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Math 1050
Group Project: Buying a House
Select a house from a real estate booklet, newspaper, or website. Cut out the picture and/or
description of this house and attach it to this lab. Assume you are paying the asking price for
the house. (Pick something reasonable, between $80,000 and $200,000.)
Its listed selling price is ______________________
Down Payment: Assume that you are going to make a 10% down payment on the house.
Determine the amount of your down payment and the balance to finance.
Down Payment______________ Mortgage Amount__________________
Interest Rates: Consult a lending institution and ask for its interest rates for both a 15_year and
a 30_year fixed rate mortgages with no "points."
Name of lending institution____________________________________
Rate for a 15-yr mortgage ______ Rate for a 30-yr mortgage ______
Monthly Payment: Calculate the monthly payment for both loans (rounding up
to the nearest cent) by using the following formula . Show your work.
15-yr Monthly Payment ________________ 30-yr Monthly Payment _____________
*This monthly payment covers only the interest and the principal on the loan. It does not cover
any insurance or taxes on the property.
Amortization Schedule: In order to summarize all the information regarding the amortization of
a loan, construct a schedule that keeps track of period (payment number), amount of payment,
interest, balance reduction and unpaid balance. A spreadsheet program is an excellent tool to
develop an amortization schedule.
Note: the following directions are for QuatroPro. If you do not have access to QuatroPro you
can find search the Web for Amortization Schedules.
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Math 1050

Group Project: Buying a House

Select a house from a real estate booklet, newspaper, or website. Cut out the picture and/or

description of this house and attach it to this lab. Assume you are paying the asking price for

the house. (Pick something reasonable, between $80,000 and $200,000.)

Its listed selling price is ______________________

Down Payment : Assume that you are going to make a 10% down payment on the house.

Determine the amount of your down payment and the balance to finance.

Down Payment______________ Mortgage Amount__________________

Interest Rates : Consult a lending institution and ask for its interest rates for both a 15_year and

a 30_year fixed rate mortgages with no "points."

Name of lending institution____________________________________

Rate for a 15-yr mortgage ______ Rate for a 30-yr mortgage ______

Monthly Payment : Calculate the monthly payment for both loans (rounding up

to the nearest cent) by using the following formula. Show your work.

15-yr Monthly Payment ________________ 30-yr Monthly Payment _____________

*This monthly payment covers only the interest and the principal on the loan. It does not cover

any insurance or taxes on the property.

Amortization Schedule : In order to summarize all the information regarding the amortization of

a loan, construct a schedule that keeps track of period (payment number), amount of payment,

interest, balance reduction and unpaid balance. A spreadsheet program is an excellent tool to

develop an amortization schedule.

Note: the following directions are for QuatroPro. If you do not have access to QuatroPro you

can find search the Web for Amortization Schedules.

APR n APR^ nY n

P

PMT 

To work with the Amortization Schedule, turn the computer on. After the Virus Alert

disappears, click “OK” and then click “Close.”

Click “Start” in the bottom left, then go to “Corel QuatroPro.”

From the menu at the top, pull down “Tools,” then highlight “Numeric Tools,” the “Analysis.”

Double-click on “Amortization Schedule.”

Enter your figures for:

Interest Rate (using the % sign)

Term (number of years)

Original Balance (amount of mortgage)

then click on “finish.”

Check the figures at the top to make sure they are correct for your mortgage.

You can correct the date by going to cell G2, and entering @date(103,3,1)

You can lock the first few rows with the titles by going to cell A8,

then pulling down “View” and highlighting “Locked Tiles.”

Enter a row for totals at the bottom of the list.

Your page should look something like the following:

Orig Balance Orig Rate Term (yrs) 1 st^ PMT Future Value $100,000.00 6.00% 15 Mar-03 $ Pmt # Date Yr Rate P & I Payment Principal Interest Extra Prin New Balance Cum Interest

  • Feb-03 $100,000.00 - 1 Mar-03 6.00% $843.86 $343.86 $500.00 $0.00 $99,656.14 $500. 2 Apr-03 6.00% $843.86 $345.58 $498.28 $0.00 $99,310.56 $998.

162 Aug-16 6.00% $843.86 $767.57 $76.29 $0.00 $14,490.51 $51,195. 163 Sep-16 6.00% $843.86 $771.41 $72.45 $0.00 $13,719.10 $51,267. 164 Oct-16 6.00% $843.86 $775.26 $68.60 $0.00 $12,943.84 $51,336. 165 Nov-16 6.00% $843.86 $779.14 $64.72 $0.00 $12,164.70 $51,401. 166 Dec-16 6.00% $843.86 $783.04 $60.82 $0.00 $11,381.66 $51,462. 167 Jan-17 6.00% $843.86 $786.95 $56.91 $0.00 $10,594.71 $51,519. 168 Feb-17 6.00% $843.86 $790.89 $52.97 $0.00 $9,803.82 $51,571. 169 Mar-17 6.00% $843.86 $794.84 $49.02 $0.00 $9,008.98 $51,621. 170 Apr-17 6.00% $843.86 $798.82 $45.04 $0.00 $8,210.16 $51,666. 171 May-17 6.00% $843.86 $802.81 $41.05 $0.00 $7,407.35 $51,707. 172 Jun-17 6.00% $843.86 $806.82 $37.04 $0.00 $6,600.53 $51,744. 173 Jul-17 6.00% $843.86 $810.86 $33.00 $0.00 $5,789.67 $51,777. 174 Aug-17 6.00% $843.86 $814.91 $28.95 $0.00 $4,974.76 $51,806. 175 Sep-17 6.00% $843.86 $818.99 $24.87 $0.00 $4,155.77 $51,830. 176 Oct-17 6.00% $843.86 $823.08 $20.78 $0.00 $3,332.69 $51,851. 177 Nov-17 6.00% $843.86 $827.20 $16.66 $0.00 $2,505.49 $51,868. 178 Dec-17 6.00% $843.86 $831.33 $12.53 $0.00 $1,674.16 $51,880. 179 Jan-17 6.00% $843.86 $835.49 $8.37 $0.00 $838.67 $51,889. 180 Feb-17 6.00% $842.86 $838.67 $4.19 $0.00 $0.00 $51,893.

TOTAL $151,893.48 $100,000.00 $51,893.

30_Year Mortgage

Period

Payment

$Payment $Interest Principle

Paid

New

Balance

Total ----------------

Find the number of the first payment when more of the payment goes toward principal than

interest.

Payment number __________

How does the amount of total interest paid compare with the amount of the mortgage?

(Give both the absolute comparision and the relative comparision.)

Suppose you paid an additional $50 towards the principal each month. How does this change the

length of time needed to pay off the 30 yr loan and the total amount paid? Be specific!

Work with your information. Experiment and learn! Observations and Conclusions: Use a word processor to write a one-page paper summarizing your observations about buying a house.