Exam 12: Ordinary General Annuities

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What is the discounted value of $3000.00 paid at the end of every six months for 5 years if interest is 8.00% compounded yearly?

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PMT = 3000,i = 0.08,n = 5 × 2 = 10,c = PMT = 3000,i = 0.08,n = 5 × 2 = 10,c =   p =   - 1 = 0.0392305 PV<sub>g</sub> = 3000.00   = 3000.00(8.142055396)= 24 426.17 p = PMT = 3000,i = 0.08,n = 5 × 2 = 10,c =   p =   - 1 = 0.0392305 PV<sub>g</sub> = 3000.00   = 3000.00(8.142055396)= 24 426.17 - 1 = 0.0392305 PVg = 3000.00 PMT = 3000,i = 0.08,n = 5 × 2 = 10,c =   p =   - 1 = 0.0392305 PV<sub>g</sub> = 3000.00   = 3000.00(8.142055396)= 24 426.17 = 3000.00(8.142055396)= 24 426.17

Mark deposits $900 at the end of each month in a savings account earning 4.5% quarterly.How soon can he buy his first car assuming that he needs $8 000 for a decent car.

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You won $250 000.00 in a lottery and you want to set some of that sum of money aside for 11.5 years.After 11.5 years,you would like to receive $4500.00 at the end of each month for 4.75 years.If the interest is 6.79% compounded annually,how much of your winnings must you set aside?

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PMT = 4500,i = 0.0679,n = 4.75 × 12 = 57,c = PMT = 4500,i = 0.0679,n = 4.75 × 12 = 57,c =   Balance after 11.5 years (annuity starts) p =   - 1 = 0.0054895 PV<sub>g</sub> = 4500.00   = 4500.00(48.8299465)= $219 734.76 Balance today PV = 219734.76(1.0679)<sup>-11.5</sup> = $103 227.88 Balance after 11.5 years (annuity starts) p = PMT = 4500,i = 0.0679,n = 4.75 × 12 = 57,c =   Balance after 11.5 years (annuity starts) p =   - 1 = 0.0054895 PV<sub>g</sub> = 4500.00   = 4500.00(48.8299465)= $219 734.76 Balance today PV = 219734.76(1.0679)<sup>-11.5</sup> = $103 227.88 - 1 = 0.0054895 PVg = 4500.00 PMT = 4500,i = 0.0679,n = 4.75 × 12 = 57,c =   Balance after 11.5 years (annuity starts) p =   - 1 = 0.0054895 PV<sub>g</sub> = 4500.00   = 4500.00(48.8299465)= $219 734.76 Balance today PV = 219734.76(1.0679)<sup>-11.5</sup> = $103 227.88 = 4500.00(48.8299465)= $219 734.76 Balance today PV = 219734.76(1.0679)-11.5 = $103 227.88

What is the principal from which $279.00 can be withdrawn at the end of each month for 17.5 years if interest is 5.44% compounded quarterly?

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Mrs.Engleder has made deposits of $750.00 at the end of every six months for twenty-three years.If interest is 3.72% compounded monthly,how much will Mrs.Engleder have accumulated six years after the last deposit?

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What is the discounted value of $4760.00 paid at the end of each year for 7 years if interest is 6.52% compounded quarterly?

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If a loan was repaid by monthly payments of $9230.00 in 7.5 years at 6.15% compounded annually,how much interest was paid?

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What is the final amount of an investment where you are making quarterly deposits of $672.31 at the end of the payment period for 7 years and 9 months? The interest rate is 6.16% compounded semi-annually.

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How much must be contributed into an RRSP at the end of each year for 37 years to accumulate to $213 000.00 if interest is 8.04% compounded quarterly?

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Edward Martin borrowed $15 810.00 from his uncle to finance his graduate studies.The loan agreement calls for equal payments at the end of each month for 6 years.The payments are deferred for 3 years and interest is 8.12% compounded semi-annually.What is the size of the monthly payments?

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Calculate the accumulated value after ten years of payments of $1000.00 made at the end of each month if interest is 4% compounded semi-annually.

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Note: This problem is solved using CalcPro for iPad Lahore Gym allows members to pay the members to pay the annual membership fee by a single payment of $240 at the beginning of the year,or by payments of $22 at the beginning of each month.What effective rate of interest is paid by members,who choose to pay by month?

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Sam took a $5000 loan to build a deck in the backyard.The loan requires payments at the end of each quarter or 4 years.If the interest on the loan is 9% compounded monthly,what is the size of each payment,Sam requires to make

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A 22-year mortgage is amortized by payments of $1761.50 made at the end of each month.If interest is 9.65% compounded semi-annually,what is the mortgage principal?

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A mortgage of $326 000 is to be repaid by making payments of $2500 at the end of each month.If interest is 4.75% compounded semi-annually,what is the term of the mortgage?

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What is the accumulated value after 11.25 years of monthly deposits of $415.00 earning interest at 5.56% compounded semi-annually if the deposits are made at the end of each month?

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You buy a motorcycle for $52 523 plus freight of $724 and other delivery charges of $561.You have saved 25% of the total purchase price towards a down payment.The bank is willing to finance the purchase of the motorcycle at 9.86% compounded quarterly.What is the size of your monthly payment if the loan is for 4.5 years?

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A student bought a rental property for $40 000.00 down and monthly payments of $1000.00 for 5 years.What is the equivalent cash price if money is worth 5.75% compounded semi-annually?

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Saba gets a year-end bonus in December every year before the Christmas.She plans to invest $1000 from the bonus at the end of every year into mutual funds RRSP,which are expected to grow at the rate of 8% compounded semi-annually.What will be the total value of her periodic investments after 25 years?

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A mortgage requires payments of $1000.00 at the end of every month for twenty-five years.If interest is 6% compounded semi-annually,calculate the principal of the loan.

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