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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 portionThis 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