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What is the present value of a security that will pay $7,000 in 20 years if securities of equal risk pay 12% annually? Do not round intermediate calculations. Round your answer to the nearest cent. An investment will pay $50 at the end of each of the next 3 years, $250 at the end of Year 4, $300 at the end of Year 5, and $600 at the end of Year 6. If other investments of equal risk earn 9% annually, what is its present value? Its future value? Do not round intermediate calculations. Round your answers to the nearest cent. You want to buy a house within 3 years, and you are currently saving for the down payment. You plan to save $9,000 at the end of the first year, and you anticipate that your annual savings will increase by 10% annually thereafter. Your expected annual return is 6%. How much will you have for a down payment at the end of Year 3? Do not round intermediate calculations. Round your answer to the nearest cent. Find the present value of $700 due in the future under each of these conditions: a. 4% nominal rate, semiannual compounding, discounted back 5 years. Do not round intermediate calculations. Round your answer to the nearest cent. $ b. 4% nominal rate, quarterly compounding discounted back 5 years. Do not round intermediate calculations. Round your answer to the nearest cent. $ c. 4% nominal rate, monthly compounding, discounted back 1 year. Do not round intermediate calculations. Round your answer to the nearest cent Find the future values of the following ordinary annuities: a. IV of $200 paid each 6 months for 5 years at a nominal rate of 6% compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent. $ b. FV of $100 paid each 3 months for 5 years at a nominal rate of 6% compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent. $ These annuities receive the same amount of cash during the 5-year period and earn interest at the same nominal rate, yet the annuity in part b ends up larger than the one in part a. Why does this occur