Compute the present value of $550 paid in three years using the following discount rates: 5 percent in the first year, 6 percent in the second year, and 7 percent in the third year. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Present value
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- What is the present value of a $1,250 payment made in six years when the discount rate is 8 percent? (Do not round intermediate calculations. Round your answer to 2 decimal places.)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. $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 $400 due in the future under each of these conditions: a. 6% nominal rate, semiannual compounding, discounted back 9 years. Do not round intermediate calculations. Round your answer to the nearest cent. 2$ b. 6% nominal rate, quarterly compounding, discounted back 9 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. %24 %24a. If the one-year discount factor is 0.9217, what is the one-year interest rate? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) b. If the two-year interest rate is 8.5%, what is the two-year discount factor? (Do not round intermediate calculations. Round your answer to 4 decimal places.) c. Given these one- and two-year discount factors, calculate the two-year annuity factor. (Do not round intermediate calculations. Round your answer to 4 decimal places.) d. If the PV of $10 a year for three years is $25.54, what is the three-year annuity factor? (Do not round intermediate calculations. Round your answer to 4 decimal places.) e. From your answers to (c) and (d), calculate the three-year discount factor. (Do not round intermediate calculations. Round your answer to 4 decimal places.) a. Interest rate % b. Discount factor c. Annuity factor d. Annuity factor e. Discount factorFind the present value and the compound discount of $4796.03 due 8.5 years from now if money is worth 4.7% compounded semi-annually. ..... The present value of the money is $. (Round to the nearest cent as needed. Round all intermediate values to six decimal places as needed.)
- 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-1000 dollars is deposited into an account at the beginning of the year and the value at the end of five years is 1276.30. If the discount was converted monthly, the nominal discount rate is? (That is, d(12) = )Find the following values. Compounding/discounting occurs annually. Do not round intermediate calculations. Round your answers to the nearest cent. a. An initial $800 compounded for 10 years at 3%. $ b. An initial $800 compounded for 10 years at 6%. $ c. The present value of $800 due in 10 years at 3%. $ d. The present value of $2,855 due in 10 years at 6% and 3%. Present value at 6%: $ Present value at 3%: $
- Find the following values. Compounding/discounting occurs annually. Do not round intermediate calculations. Round your answers to the nearest cent. a. An initial $800 compounded for 10 years at 6%. $ b. An initial $800 compounded for 10 years at 12%. c. The present value of $800 due in 10 years at 6%. $ d. The present value of $1,485 due in 10 years at 12% and 6%. Present value at 12%: $ Present value at 6%: $ e. Define present value. I. The present value is the value today of a sum of money to be received in the future and in general is less than the future value. II. The present value is the value today of a sum of money to be received in the future and in general is greater than the future value. III. The present value is the value today of a sum of money to be received in the future and in general is equal to the future value. IV. The present value is the value in the future of a sum of money to be received today and in general is less than the future value. V. The present value is…Find the present value of the following perpetuity. Perpetuity Payment $4,100 Made At: beginning Payment Period 1 year Interest Rate 5.2% Conversion Period semi-annually Find the present value. Do not approximate the answer. The present value is $. (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.)Complete the following using compound future value. (Use the Table provided.) Note: Do not round intermediate calculations. Round your final answers to the nearest cent. Time: 3 years Principal: $17,100 Rate: 6% Compounded: Quarterly Amount: Interest: Period 0.5% 1.0% 1.5% 2.0% 2.5% 3.0% 3.5% 4.0% 4.5% 5.0% 5.5% 6.0% 6.5% 7.0% 7.5% 8.0% 8.5% 9.0% 9.5% 10.0% 1 1.0050 1.0100 1.0150 1.0200 1.0250 1.0300 1.0350 1.0400 1.0450 1.0500 1.0550 1.0600 1.0650 1.0700 1.0750 1.0800 1.0850 1.0900 1.0950 1.1000 2 1.0100 1.0201 1.0302 1.0404 1.0506 1.0609 1.0712 1.0816 1.0920 1.1025 1.1130 1.1236 1.1342 1.1449 1.1556 1.1664 1.1772 1.1881 1.1990 1.2100 3 1.0151 1.0303 1.0457 1.0612 1.0769 1.0927 1.1087 1.1249 1.1412 1.1576 1.1742 1.1910 1.2079 1.2250 1.2423 1.25.97 1.2773 1.2950 1.3129 1.3310 4 1.0202 1.0406 1.0614 1.0824 1.1038 1.1255 1.1475 1.1699 1.1925 1.2155 1.2388 1.2625 1.2865 1.3108 1.3355 1.3605 1.3859 1.4116 1.4377 1.4641 5 1.0253 1.0510 1.0773 1.1041 1.1314 1.1593 1.1877…