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Determine the amount saved if $375 is deposited every month for 6 years at 5.9% per year compounded monthly. N = 12 X 6 = 72 I% = 5.9 PV = 0 PMT = -375.

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Presentation on theme: "Determine the amount saved if $375 is deposited every month for 6 years at 5.9% per year compounded monthly. N = 12 X 6 = 72 I% = 5.9 PV = 0 PMT = -375."— Presentation transcript:

1 Determine the amount saved if $375 is deposited every month for 6 years at 5.9% per year compounded monthly. N = 12 X 6 = 72 I% = 5.9 PV = 0 PMT = -375 FV = 32302.36 P/Y = 12 C/Y = 12 How much interest was earned? 32302 – 72 x 375 =$5302.35

2 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 = 18 I% = 6 PV = 0 PMT = 1200 FV = 37086.78 P/Y = 1 C/Y = 1 How much interest has been earned? 37086.78 – 18x1200 =$15486.78

3 Use the formula to solve: Victor wants to withdraw $700 at the end of each month for 8 months, starting 1 month from now. 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 = 8 Use PV formula: answer is $5488.28

4 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. How much money is in the account? i = 10 ÷ 4 ÷ 100 = 0.025 n = 4 X 1.5 = 6 Calculate for the answer: Use A= formula $2874.48 How much interest is earned for this investment? 2874.48 – 6x450 =$174.48

5 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% = 12.5 PV = 1200 PMT = -40.144 FV = 0 P/Y = 12 C/Y = 12 Therefore Donald’s monthly payment is $40.14.

6 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 year Option B: monthly payments for 5 years at 8.9% per year a) Determine the monthly payment under each option: b) Give a reason Sherri might choose each option. N = 36 I% = 6.9 PV = 9500 PMT = -292.90 FV = 0 P/Y = 12 C/Y = 12 Option 2: answer: $196.74 Option A: pay less total interest Option B: monthly payments are smaller

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

8 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 payment Mortgage: 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 = 300 I% = 5 PV = 136000 PMT = -790.98 FV = 0 P/Y = 12 C/Y =2 Therefore: Jim and Jane’s regular monthly payment would be $790.98


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