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Personal Financing:
  What shall I do?




 Situation:          Christine has finally got into University and will be
  starting this coming fall. The only problem that she has is that she
 lives all the way in West St. Paul, which is the opposite ends of the
            city from the University. What is she going to do?
Option 1



Christine can buy a car that is worth $18,500.00
and put a down payment of $2000.00 with a loan
of 8% per annum compounded monthly and pays
            it for the next five years.
Option 2



 Christine can also lease the car with no down
payment and pay $300.00 per month for 5 years
 and then purchase the car outright at it's lease
             end value of $8000.00
Christine and three of her friends decided that they should
purchase a small home close to the university so they can either
walk or bus easily to school. She analysed their monthly income
and came up with $4000.00. The monthly property tax on the
house that they are looking at is approx. $423/year. The heating bill
is $92/month. With the three of them, they can manage a mortgage
rate of 8%. Together, all of them came up with a down payment of
$8000.00.




                       Option 3
Questions.

1. If Christine were to buy the car in option one, what would be her
                        monthly payment be?

            2. What did she pay in total in option two?

3. Out of the first two option, which one will Christine pay the least
amount of money and by how much if she decides to get the car.

4. For option three, what is the maximum affordable purchase price
    that can be considered if they take out a 30-year mortgage.
1. If Christine were to buy the car in option one, what would be her
                        monthly payment be?
When you want to find out what is Christine's monthly payments
would be, then you would have to use the TVM solver from your
calculator to solve this.
But before we solve this you must know how to get there and
know what the different commands mean
         CALCULATOR DEMANDS                                N is the number of payments being
Turn on your calculator. (Make sure that the home          made.(# of years)(# times
screen is blank so you will be able to work on it and      payments / year)
understand what you are doing)                             I is the Annual Interest rate (%)
                                                           PV is the present value
To get into your TVM Solver, you then must click the       PMT is the payment being made
APPS button on your calculator. The applications on        FV is the future value
your calculator should show up.                            P/Y is the number of payments per
                                                           year
What you want to do next is highlight the finance          C/Y is the compounding periods
button and press enter.                                    per year.
                                                           PMT: this depends when the
Once you press enter, your screen should pop up to         payments       are    made       each
this                                                       compounding period.

                  To solve for what ever you are looking
                  for, just press [ALPHA] [SOLVE]
1. If Christine were to buy the car in option one, what would be her
                        monthly payment be?

 To answer the question you would go to the TVM solver and enter these numbers.

 N = (5 x 12) 60   18 500 – 2000 = 16 500 ( place this in the present value)
 I%=8
 PV = 16 500         Then Press [ ALPHA ] [SOLVE ]
 PMT =
 FV = 0
 P/Y = 12
 C/Y = 12
 PMT = END
                            N = (5 x 12) 60
                            I%=8
                            PV = 16 500       The monthly payments
                            PMT = - 334.6
                            FV = 0
                                              that Christine has to make
                            P/Y = 12          is $334.60
                            C/Y = 12
                            PMT = END
2. What did she pay in total in option two?

  Since Christine wants to pay $300.00 per month for
  5 years,

  You would have to multiply
  300 x 60
  This shows you how much you paid every month for
  five years.
  300 x 60 = $18 000


    Christine then wanted to purchase the car at the
    end of its lease.
    The value is $8000.

    So you take $18 000 + $8000 = $26 000

         In total, Christine paid $26 000 just for leasing the car.
3. Out of the first two option, which one will Christine pay the least
 amount of money and by how much if she decides to get the car.


   Option 1 =$ 344.60 x 60 + $2000
             = $20 676 + 2000
             = $22 676
   Christine paid $22 676 to buy the car.
   Option 2 = $26 000 to lease and then buy the car.

     Finding the difference :
     $26 000 - $ 22 676 = $3324

  So you see that buying a car is cheaper than
  leasing it.

  Option 1 cost $3324.00 less than option 2.
4. For option three, what is the maximum affordable purchase price that
        can be considered if they take out a 30-year mortgage.


   GDSR = Mo. Mortgage Pmt. + Mo. Heating Costs + 0.5 of Condo Strata Fees
                             Gross Monthly Income
                 This is the formula that is being used in this question.

  What we know :
  You should know         $423 + $92 = $ 515
  that GDSR is 32%.                                                         This only
                          0.32 = Mo. Mortgage Pmt. + $515                   applies if you
  Her and her friends                               $4000                   plan on buying
  have a monthly                                                            a condo.
  income of $4000.        0.32($4000) -$515 = Mo. Mortgage Pmt.
  The property tax is
  $423 and the heating    $765.00 = Monthly Mortgage Payment. (maximum)
  bill is $92.
  They can manage a
  mortgage rate of 8%
  And will be able to
  put a $8000.00
  payment.
Once you have found the maximum monthly
mortgage payment, then you can plug in the numbers
 into your TVM Solve to find out what the maximum
     amount that you can purchase on a home.

      N = 360                        N = 360
      I%=8           [ALPHA] [SOLVE] I % = 8
      PV = 0                         PV = 104 256.873
      PMT = - 765                    PMT = -765
      FV = 0                         FV = 0
      P/Y = 12                       P/Y = 12
      C/Y = 12                       C/Y = 12
      PMT = END                      PMT = END



    The maximum amount that Christine and her
    friends can afford on the house is $104 256.87
In the end after a lot of hard work and
thinking, Christine came to the
conclusion that if she were to get a car,
she would buy it than lease it.
When it came to thinking about buying
the house with the state she's in right
now, then she had to make sure that she
was getting a house with room mates.

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Personal Financing

  • 1. Personal Financing: What shall I do? Situation: Christine has finally got into University and will be starting this coming fall. The only problem that she has is that she lives all the way in West St. Paul, which is the opposite ends of the city from the University. What is she going to do?
  • 2. Option 1 Christine can buy a car that is worth $18,500.00 and put a down payment of $2000.00 with a loan of 8% per annum compounded monthly and pays it for the next five years.
  • 3. Option 2 Christine can also lease the car with no down payment and pay $300.00 per month for 5 years and then purchase the car outright at it's lease end value of $8000.00
  • 4. Christine and three of her friends decided that they should purchase a small home close to the university so they can either walk or bus easily to school. She analysed their monthly income and came up with $4000.00. The monthly property tax on the house that they are looking at is approx. $423/year. The heating bill is $92/month. With the three of them, they can manage a mortgage rate of 8%. Together, all of them came up with a down payment of $8000.00. Option 3
  • 5. Questions. 1. If Christine were to buy the car in option one, what would be her monthly payment be? 2. What did she pay in total in option two? 3. Out of the first two option, which one will Christine pay the least amount of money and by how much if she decides to get the car. 4. For option three, what is the maximum affordable purchase price that can be considered if they take out a 30-year mortgage.
  • 6. 1. If Christine were to buy the car in option one, what would be her monthly payment be? When you want to find out what is Christine's monthly payments would be, then you would have to use the TVM solver from your calculator to solve this. But before we solve this you must know how to get there and know what the different commands mean CALCULATOR DEMANDS N is the number of payments being Turn on your calculator. (Make sure that the home made.(# of years)(# times screen is blank so you will be able to work on it and payments / year) understand what you are doing) I is the Annual Interest rate (%) PV is the present value To get into your TVM Solver, you then must click the PMT is the payment being made APPS button on your calculator. The applications on FV is the future value your calculator should show up. P/Y is the number of payments per year What you want to do next is highlight the finance C/Y is the compounding periods button and press enter. per year. PMT: this depends when the Once you press enter, your screen should pop up to payments are made each this compounding period. To solve for what ever you are looking for, just press [ALPHA] [SOLVE]
  • 7. 1. If Christine were to buy the car in option one, what would be her monthly payment be? To answer the question you would go to the TVM solver and enter these numbers. N = (5 x 12) 60 18 500 – 2000 = 16 500 ( place this in the present value) I%=8 PV = 16 500 Then Press [ ALPHA ] [SOLVE ] PMT = FV = 0 P/Y = 12 C/Y = 12 PMT = END N = (5 x 12) 60 I%=8 PV = 16 500 The monthly payments PMT = - 334.6 FV = 0 that Christine has to make P/Y = 12 is $334.60 C/Y = 12 PMT = END
  • 8. 2. What did she pay in total in option two? Since Christine wants to pay $300.00 per month for 5 years, You would have to multiply 300 x 60 This shows you how much you paid every month for five years. 300 x 60 = $18 000 Christine then wanted to purchase the car at the end of its lease. The value is $8000. So you take $18 000 + $8000 = $26 000 In total, Christine paid $26 000 just for leasing the car.
  • 9. 3. Out of the first two option, which one will Christine pay the least amount of money and by how much if she decides to get the car. Option 1 =$ 344.60 x 60 + $2000 = $20 676 + 2000 = $22 676 Christine paid $22 676 to buy the car. Option 2 = $26 000 to lease and then buy the car. Finding the difference : $26 000 - $ 22 676 = $3324 So you see that buying a car is cheaper than leasing it. Option 1 cost $3324.00 less than option 2.
  • 10. 4. For option three, what is the maximum affordable purchase price that can be considered if they take out a 30-year mortgage. GDSR = Mo. Mortgage Pmt. + Mo. Heating Costs + 0.5 of Condo Strata Fees Gross Monthly Income This is the formula that is being used in this question. What we know : You should know $423 + $92 = $ 515 that GDSR is 32%. This only 0.32 = Mo. Mortgage Pmt. + $515 applies if you Her and her friends $4000 plan on buying have a monthly a condo. income of $4000. 0.32($4000) -$515 = Mo. Mortgage Pmt. The property tax is $423 and the heating $765.00 = Monthly Mortgage Payment. (maximum) bill is $92. They can manage a mortgage rate of 8% And will be able to put a $8000.00 payment.
  • 11. Once you have found the maximum monthly mortgage payment, then you can plug in the numbers into your TVM Solve to find out what the maximum amount that you can purchase on a home. N = 360 N = 360 I%=8 [ALPHA] [SOLVE] I % = 8 PV = 0 PV = 104 256.873 PMT = - 765 PMT = -765 FV = 0 FV = 0 P/Y = 12 P/Y = 12 C/Y = 12 C/Y = 12 PMT = END PMT = END The maximum amount that Christine and her friends can afford on the house is $104 256.87
  • 12. In the end after a lot of hard work and thinking, Christine came to the conclusion that if she were to get a car, she would buy it than lease it. When it came to thinking about buying the house with the state she's in right now, then she had to make sure that she was getting a house with room mates.