4. Find the annual payments for an ordinary annuity and an annuity due for 8 years with a PV of $1,000 and an interest rate of 10%, Round your answers to the hearest cont. Annsal payment for ordinary annuity: $ Annual parment for annuity due: 3 1. Find the PV and the PV of an investment that makes the following end-olvear payments. The interest rate is 10%. Round your answers to the nearest cent. PV of investment: $ PV of investment: \$ K. Flve banks cfler nominal rates of B\% on deposits, bert A pays interest annually, 8 pays semiasnualy, C pays quarterly, D pays monthly, and E pays daily. Assume 365 days in a yeac. 1. What effective annual rate does each bank pay? If you depose 54,000 is each bank today, haw much will you have in each bank at the end of 1 yeer? 2 years? Round your answers to two decimal places, Excel Activity: Time value of money The data has been collected in the Microsoft Excel file below. Download the spreadsheet and perform the required analysis to answer the questions below. Do not round intermediate calculations. Enter your answers as positive values. Download spreadsheet Time volue of money-bfbeaz xisx a. Find the FV of $1,000 invested to earn 12% after 4 years. Round your answer to the nearest cent. $ b. What is the investment's FV at rates of 0%,4%, and 25% after 0,1,2,3,4, and 5 years? Round your answers to the nearest cent. Choose the correct graph of future value as a function of time and rate. Note: blue line is for 0%, orange line is for 4%, and grey line is for 25%. The correct graph is 2. If the TVM is the only consideration, what nominal rate will cause all of the banks to provide the same effective annual rate as Bank A? Round your answers to two decimal places. 3. Suppose you don't have the $4,000 but need it at the end of 1 year. You plan to make a series of deposits - annually for A, semiannually for B, quarterly for C, monthily for D, and dally for E - with payments beginning today. How large must the payments be to each bank? Round your answers to the nearest cent. 4. Even if the five banks provided the same effective annual rate, would a rational investor be indifferent between the banks? It is more likely that an investor would prefer the bank that compounded frequently. L. Suppose you borrow $16,000. The interest rate is 10%, and it requires 4 equal end-of-year payments. Set up an amortization schedule that shows the annual payments, interest payments, princlpal repayments, and beginning and ending loan balances. Round your answers to the nearest cent. If your answer is zero, enter " 0 ". Choose the correct graph that shows how the payments are divided between interest and principal repayment over time. c. Find the PV of $1,000 due in 4 years if the discount rate is 12%. Round your answer to the nearest cent. d. A security has a cost of $1,000 and will return $2,000 after 4 years. What rate of return does the security provide? Round your answer to two decimal places. % e. Suppose California's population is 34.2 million people, and its population is expected to grow by 2% annually, How long will it take for the population to double? Round your answer to the nearest whole number. years f. Find the PV of an ordinary annuity that pays $1,000 each of the next 4 years if the interest rate is 14%. Then find the FV of that same annulty, Round your answers to the nearest cent. PV of ordinary annuity: 5 FV of ordinary annulty: $ 9. How will the PV and FV of the annuity in part f change if it is an annuity due rather than an ordinary annuity? Round your answers to the nearest cent. PV of annuity due: $ FV of annuity due: $ h. What will the FV and the PV for parts a and c be if the interest rate is 12% with semiannual compounding rather than 12% with annual compounding? Round your answers to the nearest cent. FV with semiannual compounding: $ PV with semiannual compounding: $ 1. Find the annual payments for an ordinary annuity and an annuity due for 8 years with a PV of $1,000 and an interest rate of 10%. Raund your answers