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Calculate the amount that must be invested at the end of each year at 10.8% compounded annually in order to accumulate $680,000 after: (Do not round intermediate calculations and round your final answers to 2 decimal places.) a. 25 years. b. 30 years. In each case, also determine what portion of the $680,000 represents earnings on the annual investments. ( Round your intermediate calculations and final answers to 2 decimal places.) a. Earnings portion b. Earnings portionWhat monthly payment is required to pay off a $52,000 loan in seven years, if the interest rate on the loan is 6.3% compounded: (Do not round intermediate calculations and round your final answers to 2 decimal places.) Required payment a. Annually b. Semiannually C. Quarterly d. MonthlyExercise ".1 #11 algo Karen obtained a $40,000 loan at 3.9% compounded semiannually. a1.What monthly payment will repay the loan in T 1!? years? [Do not round intermediate calculations and round your nal answer to 2 decimal places.] mum $: all. How much interest 1.Irill Karen pay over the life of the loan? [Round your final answer to the nearest dollar.] some s|:| An endowment fund is set up 1with a donation of $160,000. If it earns 5.5% compounded monthly, for how long will it sustain endofmonth withdrawals of $1400? [Include the nal smaller withdrawal.) {Do not round intermediate calculations and round up the number of payments, n, to the next whole number.] Endowment is for :l years and :l monlhs. How long will it take an RRSP to grow to $820,000, if it takes in month-end contribution of $1200 and earns: (Round up the number of contributions to the next integer.) a. 5.2% compounded monthly? years, month(s) b. 7.2% compounded monthly? years, month(s) c. 7.6% compounded monthly? years, month(s) d. 10.5% compounded monthly? years, month(s)How long will $560,000, in an investment account that earns 4.15% compounded monthly, sustain month- end withdrawals of $3500? (Do not round intermediate calculations and round up the number of payments, n, to the next whole number.) years and month(s).How much longer will it take to pay off a $160,000 loan with monthly payments of $1600 than with monthly payments of $1700? The interest rate on the loan is 11.35% compounded monthly. (Do not round intermediate calculations and round up the number of payments, n, to the next whole number.) Difference years and month(s).This problem demonstrates the dependence of an annuity's present value on the size of the periodic payment. Calculate the present value of 25 endofyear payments of: {Do not round intermediate calculations and round your nal answers to 2 decimal places] a. $1200. 5: 0. $2200. 5: c. $3200. i: Use a discount rate of 5.2% compounded annually. Alter completing the calculations, note that the present 1.I'alue is proportional to the size of the periodic payment. This problem demonstrates the dependence of the present value of an annuity on the discount rate. For an ordinary annuity consisting of 25 annual payments of$19i2li1 calculate the present value using an annually compounded discount rate of: [Do not round intermediate calculations and round your answers to 2 decimal places} a. 3.3% Observe that the present value decreases as you increase the discount rate. However, the present value decreases proportionately less than the increase in the discount rate. A contract requires endofmonth payments of $255 for another 6 1M years. What would an investor pay to purchase this contract it she requires a rate of return of 4.8% compounded monthly? (Round your answer to 2 decimal places} Immune-r 5: What is the present value of end-of-quarter payments of $4300 for seven years? Use a discount rate of 7.8% compounded quarterly. (Round your answer to 2 decimal places.) Present valueIf money can earn 6% compounded monthly, how much more money is required to fund an ordinary annuity paying $320 per month for 30 years than to fund the same monthly payment for 20 years? (Do not round intermediate calculations and round your final answer to 2 decimal places.) more is required