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Quick answers If the bank is offering 12% per year compounded quarterly what would be the value of “i” in the Amount of an annuity formula? If the Nicole buys a car for $12000 and pays monthly for 3 years what is the “n” value of the formula?

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Quick answers. If the bank is offering 12% per year compounded quarterly what would be the value of “i” in the Amount of an annuity formula? If the Nicole buys a car for $12000 and pays monthly for 3 years what is the “n” value of the formula?. - PowerPoint PPT Presentation

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Page 1: Quick answers

Quick answersIf the bank is offering 12% per year

compounded quarterly what would be the value of “i” in the Amount of an annuity formula?

If the Nicole buys a car for $12000 and pays monthly for 3 years what is the “n” value of the formula?

Page 2: Quick answers

What questions could you ask about this TVM entry? Answer them!!N=36I%=5.4PV=12 000PMT =-361.81FV=0P/Y=12C/Y=12PMT=END BEGIN

Page 3: Quick answers

Determine the amount saved if $375 is deposited every month for 6 years at 5.9% per year compounded monthly.

N = 12 X 6 = 72I% = 5.9PV = 0PMT = -375FV = 32302.36P/Y = 12C/Y = 12

How much interest was earned?$5302.35

Page 4: Quick answers

Geneva’s parents saved for her college education by depositing $1200 at the end of each year in a Registered Education Savings Plan (RESP) that earns 6% per year compounded annually. How much is there at the end of 18 years?

N = 18I% = 6PV = 0PMT = 1200FV = 37086.78P/Y = 1C/Y = 1

How much interest has been earned?$15486.78

Page 5: Quick answers

Use the formula to solve:Victor wants to withdraw $700 at the end of each month for 8 months, starting 1 month from new. His bank account earns 5.4% per year compounded monthly. How much must Victor deposit in his bank account today to pay for the withdrawls?

i = 5.4 ÷ 12 ÷ 100 = .0045

n = 8Use formula: answer is $5488.28

Page 6: Quick answers

Use the formula to solve:Suppose $450 is deposited at the end of each quarter for 1.5 years in an investment account that earns 10% per year compounded quarterly. i = 10 ÷ 4 ÷ 100 = 0.025 n = 4 X 1.5 = 6Calculate for the answer: $2874.48

How much interest is earned for this investment?

$174.48

Page 7: Quick answers

Donald borrows $1200 from an electronics store to buy a computer. He will repay the loan in equal monthly payments over 3 years, starting 1 month from now. He is charged interest at 12.5% per year compounded monthly. How much is Donald’s monthly payment?

N = 36

I% = 12.5PV = 1200PMT = -40.144FV = 0P/Y = 12C/Y = 12

Therefore Donald’s monthly payment is $40.14.

Page 8: Quick answers

Sherri borrows $9500 to buy a car. She can repay her loan in 2 ways. The interest is compounded monthly.Option A: monthly payments for 3 years at 6.9% per yearOption B: monthly payments for 5 years at 8.9% per yeara) Determine the monthly payment under each option:b) Give a reason Sherri might choose each option.

N = 36I% = 6.9PV = 9500PMT = -292.90FV = 0P/Y = 12C/Y = 12

Option 2: answer: $196.74Option A: pay less total interestOption B: monthly payments are smaller

Page 9: Quick answers

What is an RRSP?What is an RESP?Why would you save using them?

Page 10: Quick answers

Jane and Jim buy a house for $170 000 and put a 20% down payment on the house. How much is their mortgage for?

.20 X 170 000 = $34 000 down paymentMortgage: 170 000 – 34 000 = 136 000

Calculate their monthly payments if they have a mortgage rate of 5% compounded semi-annually for a 5 year term and it is amortized over 25 years.

N = 25 X 12 = 300I% = 5PV = 136000PMT = -790.98FV = 0P/Y = 12C/Y =2

Therefore: Jim and Jane’s regular monthly payment would be $790.98

Page 11: Quick answers

Answer true or false for each statement:A mortgage is a loan that is used to buy property.An annuity always has a regular payment. In a mortgage the payment period is always the same as

the compounding period. The present value of an annuity is the amount in the bank

after you have invested for a specified amount of time.The number of payment periods (“N” on the TVM) is

calculated by multiplying the number of years by the payments per year.

The interest paid for an annuity when you borrow money is the difference between the total amount you paid and the amount you borrowed.

Page 12: Quick answers

Angela and Ed acquire a mortgage of $210 000 at 4% per year compounded semi-annually with an amortization of 25 years and a 5 year term. Explain what this means in your own words.