Exam 3: Simple Annuities

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You buy furniture today for $A and "don't pay a cent for 6 months".At the end of 6 months,you begin making monthly payments of $125 for 36 months.If this payment plan charges interest at j12 = 7.2%,what is A?

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Deposits of $725 are made into an account earning j4 = 10% in order to accumulate to $21,500.It turns out that 22 deposits are needed,plus a bit more.If the final deposit is a drop payment made 3 months after the last regular deposit,what is the size of this final deposit?

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Jim just turned age 65.He takes his RRSP savings of $300,000 and buys a 20-year annuity that pays him $R every month.If the interest rate is j12 = 7.2% and the first payment is at age 65,what is R?

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Deposits of $200 are made at the end of every 3-months.The interest rate is j4 = 6% for the first 4-years (16 deposits)and j4 = 5% thereafter.What is the accumulated value of the deposits,immediately after the 24th deposit?

(Multiple Choice)
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To buy a used car,you have two options.You can pay $10,400 in cash today (December 12,2014)or you can pay $R every month,from December 12,2014 and to July 12,2017.If the interest rate is j12 = 6%,what is R?

(Multiple Choice)
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Mr.A deposits $5000 today in a fund earning interest at j2 = 6%.He wishes to withdraw $490 every 6 months for as long as possible.He will make his first withdrawal exactly 2 years from today.When will he make the final smaller concluding (drop)withdrawal?

(Multiple Choice)
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Deposits of $R are made every 3 months starting June 15,2010 in a fund paying interest at j4 = 8%.Immediately after the deposit on December 15,2018,there is $40,000 in the fund.What is R?

(Multiple Choice)
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A loan is to be repaid with semi-annual payments of $2000 over 8 years,first payment due in 6 months.The interest rate on the loan is j2 = 10% for the first 3 years and j2 = 6% thereafter.What is the amount of the loan? (answer to nearest dollar)

(Multiple Choice)
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Jim buys some furniture for $3850.He pays $200 down and repays the rest with 24 monthly payments of $R,first payment due 3 months from today.If j12 = 9%,what is R?

(Multiple Choice)
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An individual borrows $10,000 at j4 = 8%.He/she is to pay off this loan with quarterly payments of $R over 10-years (first payment 3-month after loan is taken out).What is R?

(Multiple Choice)
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You buy some furniture for $1200.You have 2 options: pay the $1200 today or make 12 monthly payments (made at the end of every month).For the 2nd option,the furniture store will charge you an administration fee of $72.Thus,your monthly payment will be 1272 ¸ 12 = $106.Which of the following statements is closest to the truth if you were to choose option 2? (All interest rates are j12)

(Multiple Choice)
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Gerry wins a lottery worth $100,000.Instead of the lump sum,Gerry will be paid in monthly installments for a total of 60 payments,with the first monthly payment to be made today.If the money earns interest at j12 = 6%,what is the monthly payment?

(Multiple Choice)
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A man has won a lottery worth $500,000.He invests this money in a fund paying j2 = 7%.He plans to withdraw $R every 6 months for 25 years,with the first withdrawal made today.What is R?

(Multiple Choice)
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The present value at j12 of a $10,000 payment today,followed by 32 monthly payments of $5000 is $136,335.69.What is the present value of 33 monthly payments of $2000,first payment made today,if these payments earn the same interest rate,j12?

(Multiple Choice)
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Deposits of $1500 are made every 3 months starting today,October 5,2010.The final deposit is made on January 5,2015.If the fund earns j4 = 8%,how much is in the fund immediately after the deposit on January 5,2015?

(Multiple Choice)
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Tae takes out a loan for $5000,to be paid back with monthly payments of $199 for as long as is needed.The first payment of $199 is due exactly 6-months after the loan is taken out.Tae also plans to increase the size of the final payment (that is,he plans to make a balloon payment,not a drop payment).If the interest rate on the loan is j12 = 12%,how many payments are needed?

(Multiple Choice)
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Billy deposits $800 at the end of every 3-months in a fund earning interest at j4 = 12%.At the end of 3 years,the interest rate changes to j4 = 8%.What is the accumulated value immediately after his 20th deposit?

(Multiple Choice)
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An education fund of $40,000 is to be accumulated by making payments of $400 at the end of every 3-month period,plus a smaller concluding payment.Determine the number of full payments required if j4 = 9%.

(Multiple Choice)
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You can buy a car with 60-monthly payments of $350,first payment made today.If j12 = 3%,what is the equivalent cash price of the car,payable today?

(Multiple Choice)
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A loan of $A is to be repaid over 5 years with quarterly payments of $600 (1st payment 3 months from now).The interest rate on the loan is j4 = 8% for the first 3 years and j4 = 6% thereafter.What is the value of A?

(Multiple Choice)
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