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Owning or Leasing 
Your Dream Car
            Is this for real?
Marge invested $2500 at 6.5% per annum       HOMEWORK
compounded quarterly. Calculate the value    N= 12
of her investment after three years.         I%= 6.5
                                             PV= ­2500
                                             PMT= 0
                                             FV= 3033.52
                                             P/Y= 4
                                             C/Y= 4
                                             PMT: END   BEGIN

Calculate the effective interest rate.       N= 3
                                             I%= 6.66016
                                             PV= ­2500
                                             PMT= 0
                                             FV= 3033.52
                                             P/Y= 1
                                             C/Y= 1
                                             PMT: END   BEGIN
Credit Card Interest                      HOMEWORK
Calculate the effective interest rate of $1.00 invested at 18.5% 
compounded daily for one year.




  N= 365                                  N= 1
  I%= 18.5                                I%= 20.31620
  PV= ­1                                  PV= ­1
  PMT= 0                                  PMT= 0
  FV= 1.203162                            FV= 1.203162
  P/Y= 365                                P/Y= 1
  C/Y= 365                                C/Y= 1
  PMT: END   BEGIN                        PMT: END   BEGIN
Shaina wishes to invest $2000 given by her grandfather. She has an 
option of a guaranteed investment certificate earning 8.85%, 
compounded quarterly, or a savings bond of 9%, compounded semi­
annually.                                 HOMEWORK
Which investment              N= 4                   N= 2
should she choose?            I%= 8.85               I%= 9
                              PV= ­2000              PV= ­2000
                              PMT= 0                 PMT= 0
                              FV= 2182.96            FV= 2184.05
                              P/Y= 4                 P/Y= 2
                              C/Y= 4                 C/Y= 2
                              PMT: END   BEGIN       PMT: END   BEGIN

If each investment term is 5 years, what will be the difference in 
their values at the end of the term?

                    $3105.94 ­ $3098.21 = $7.73
Suppose an uncle has left you $100 000 to invest, on condition that 
you give one­half of all interest earned to the SPCA. You decide to 
invest it in a savings account that pays 5% interest compounded 
quarterly. How much will you have given to the animal shelter after: 

one month? N= 4 * (1/12)            3 months? N= 4 * (3/12)
           I%= 5                              I%= 5
           PV= ­ 100000                       PV= ­ 100000
           PMT= 0                             PMT= 0
           FV=                                FV=
           P/Y= 4                             P/Y= 4
           C/Y= 4                             C/Y= 4
           PMT: END   BEGIN                   PMT: END   BEGIN
             N= 4 * (2/12)          10 years? N= 4 * (10)
2 months?
             I%= 5                            I%= 5
             PV= ­ 100000                     PV= ­ 100000
             PMT= 0                           PMT= 0
             FV=                              FV=
             P/Y= 4                           P/Y= 4
             C/Y= 4                           C/Y= 4
             PMT: END   BEGIN                 PMT: END   BEGIN
Determine the monthly payment for a $8250.00 loan with an interest 
rate of 8.9% compounded monthly if the loan is repaid in two years 
(24 monthly payments). Also determine the total cost of repaying the 
loan, and the amount of interest paid.
                                             N=
                                             I%=
                                             PV=
                                             PMT=
                                             FV=
                                             P/Y=
                                             C/Y=
                                             PMT: END   BEGIN
Mike bought a Chevy truck, and used his older Dodge truck as 
trade. The price of the Chevy was $22 500, and the trade­in value 
of the Dodge was $3200. How much did Mike have to pay?

     Note: PST (7%) and GST (5%) have to be paid on new car 
     purchases. On used cars only PST is paid.


         $22 500 * 0.12 = $2700

         $2700 + $22 500 = $25 200

         $25 200 ­ $3 200 = $22 000
Joyce wants to buy a used Ford Mustang for $16 000 plus tax. She has 
$3 000 for a down payment and needs a loan to pay the rest. The bank 
charges 9% interest compounded monthly and the loan must be repaid in 
3 years.


What is the loan principal?
    $16 000 * 0.12 = $1 920
    $1 920 + $16 000 = $17 920
    $17 920 ­ $3 000 = $14 920
                                                 N=36
How much are Joyce's monthly payments?           I%=9
                                                 PV=14920
                                                 PMT=­474.45
                                                 FV=0
                                                 P/Y=12
                                                 C/Y=12
                                                 PMT: END   BEGIN
Dave needs a new computer for university. The purchase price is 
$3294.00 before tax with a $0 down payment. Financing is available 
at 18.99%, compounded monthly. GST is 5% and PST is 7%.
Calculate the monthly payment to purchase this computer over 
48 months. What is the total amount paid for the computer?

What are the monthly payments and total paid if the computer is 
financed for 36 months?                        HOMEWORK
What about 24 months?
N=                      N=                       N=
I%=                     I%=                      I%=
PV=                     PV=                      PV=
PMT=                    PMT=                     PMT=
FV=                     FV=                      FV=
P/Y=                    P/Y=                     P/Y=
C/Y=                    C/Y=                     C/Y=
PMT: END   BEGIN        PMT: END   BEGIN         PMT: END   BEGIN

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Lesson 3 Apr 7 2010