Calculate the present value for various discounting periods. Find the present value of $1000 due in the future under each of these conditions: a. 12% nominal rate, annual compounaing, discounted back 5 years b. 12% nominal rate, semiannual compounding, discounted back 5 years 12% nominal rate, quarterly compounding, discounted back 5 years d. 12% nominal rate, quarterly compounding, discounted back 1 year e. 12% nominal rate, monthly compounding, discounted back 1 year f. What are the reasons due to which, the differences in the PVs occur?
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Leave the above three sub-parts and do d,e,f sub-parts
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- Find the present value of $500 duein the future under each of these conditions:a. 12% nominal rate, semiannual compounding, discounted back 5 yearsb. 12% nominal rate, quarterly compounding, discounted back 5 yearsc. 12% nominal rate, monthly compounding, discounted back 1 yeard. Why do the differences in the PVs occur?Find the present value of $800 due in the future under each of these conditions: A. 14% nominal rate, semiannual compounding, discounted back 10 years. Round your answer to the nearest cent. B. 14% nominal rate, quarterly compounding, discounted back 10 years. Round your answer to the nearest cent. C. 14% nominal rate, monthly compounding, discounted back 1 year. Round your answer to the nearest cent.Find the following values (compunding/discounting occurs annually): A. An initial $500 compounded for 1 year @ 6% B. An initial $500 compounded for 2 years @ 6% C. The present value of $500 due in 1 year at a discount rate of 6% D. The present value of $500 due in 2 years at a discount rate of 6%
- Find the present value of $500 due in the future under each of these conditions: a. 9% nominal rate, semiannual compounding, discounted back 10 years. Do not round Intermediate calculations. Round your answer to the nearest cent. $ b. 9% nominal rate, quarterly compounding, discounted back 10 years. Do not round Intermediate calculations. Round your answer to the nearest cent. $ c. 9% nominal rate, monthly compounding, discounted back 1 year. Do not round Intermediate calculations. Round your answer to the nearest cent. $ d. Why do the differences in the PVS occur? -Select-Find the present value of $700 due in the future under each of these conditions: a. 6% nominal rate, semiannual compounding, discounted back 8 years. Do not round intermediate calculations. Round your answer to the nearest cent. $ b. 6% nominal rate, quarterly compounding, discounted back 8 years. Do not round intermediate calculations. Round your answer to the nearest cent. $ c. 6% nominal rate, monthly compounding, discounted back 1 year. Do not round intermediate calculations. Round your answer to the nearest cent. S d. Why do the differences in the PV's occur?Find the present value of $400 due in the future under each of these conditions: a. 6% nominal rate, semiannual compounding, discounted back 9 years. Do not round intermediate calculations. Round your answer to the nearest cent. $4 b. 6% nominal rate, quarterly compounding, discounted back 9 years. Do not round intermediate calculations. Round your answer to the nearest cent. $4 C. 6% nominal rate, monthly compounding, discounted back 1 year. Do not round intermediate calculations. Round your answer to the nearest cent. %24
- Find the present value of $675 due in the future under each of the following conditions. Do not round intermediate calculations. Round your answers to the nearest cent. 9% nominal rate, semiannual compounding, discounted back 5 years. $ 9% nominal rate, quarterly compounding, discounted back 5 years. $ 9% nominal rate, monthly compounding, discounted back 1 year. $2. Find the present value of $500 due in the future under each of these conditions: a. 12% nominal rate, semiannual compounding, discounted back 5 years b. 12% nominal rate, quarterly compounding, discounted back 5 years c. 12% nominal rate, monthly compounding, discounted back 1 year Hint: identify the interest rate per period and the total number of periods in each scenario first. OFind the future values of the ordinary annuities at the given annual rate r compounded as indicated. The payments are made to coincide with the periods of compounding. (Round your answer to the nearest cent.) PMT = $200, r = 2.7%, compounded semiannually for 25 years
- Find the future values of the following ordinary annuities: a. FV of $800 paid each 6 months for 5 years at a nominal rate of 11% compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent. $ b. FV of $400 paid each 3 months for 5 years at a nominal rate of 11% compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent. $ c. 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?. -Select-Find the present values of these ordinary annuities.Discounting occurs once a year.a. $600 per year for 12 years at 8%b. $300 per year for 6 years at 4%c. $500 per year for 6 years at 0%d. Rework parts a, b, and c assuming they are annuities due.Find the future values of the following ordinary annuities: a. FV of $600 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 $300 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. $ c. 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? 819000.0 The annuity in part (b) is compounded more frequently, therefore, more interest is earned on previously-earned interest. V