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- For each of the following situations involving annuities, solve for the unknown. Assume that interest is compounded annually and that all annuity amounts are received at the end of each period. (/= interest rate, and n= number of years) Note: Use tables, Excel, or a financial calculator. Round your final answers to nearest whole dollar amount. (FV of $1. PV of $1. FVA of $1. PVA of $1. EVAD of $1 and PVAD of $1) 1. $ 2 3 4. 15 Present Value Answer is complete but not entirely correct. Annuity Amount 2.200 145,000 190,000 72.523 45,787 8,784 558,865 480,945 520,000 240,000 8% 1.0% 9% 2.5% 10% n= 5 4 30 8 4For each of the following situations involving annulties, solve for the unknown. Assume that interest is compounded annually and that all annulty amounts are received at the end of each period. (/= Interest rate, and n = number of years) Note: Use tables, Excel, or a financial calculator. Round your final answers to nearest whole dollar amount. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) 1. 2. 3. 4. 5. Present Value 248, 196 442,750 650,000 175,000 Annuity Amount $ 5,000 80,000 60,000 155,040 8% 11% 10% n = 5 4 10 4For each case, provide the missing information. Assume payments occur at the end of each period. (Use the present value and future value tables, the formula method, financial calculator, or a spreadsheet for your calculations. If using present and future value tables or the formula method, use factor amounts rounded to five decimal places X.XXXXX. Round all final answers to the nearest cent, $X.XX, and round the loan maturity date to the nearest whole year.) (Click the icon to view the cases.) Future Value of $1 table Future Value of an Ordinary Annuity table Future Value of an Annuity Due table Cases Amount borrowed Interest rate Number of periodic payments per year Maturity (in years) Periodic payment (1) (a) 4% 4 10 $ 10,354.90 (2) $ 675,000 $ 4% 2 10 (b) S CO (3) 456,000 6 % 1 (c) 81.685.59 (4) $ 750.000 12 % T (d) I X
- .Find the future value of the following annuities. The first payment in these annuities is made at the end of Year 1, so they are ordinary annuities. Round your answers to the nearest cent. (Notes: If you are using a financial calculator, you can enter the known values and then press the appropriate key to find the unknown variable. Then, without clearing the TVM register, you can "override" the variable that changes by simply entering a new value for it and then pressing the key for the unknown variable to obtain the second answer. This procedure can be used in many situations, to see how changes in input variables affect the output variable. Also, note that you can leave values in the TVM register, switch to Begin Mode, press FV, and find the FV of the annuity due.) $800 per year for 10 years at 14%.$ $400 per year for 5 years at 7%.$ $800 per year for 5 years at 0%.$ Now rework parts a, b, and c assuming that payments are made at the beginning of each year; that is, they are…Suppose you borrow from a bank $1,756.06 today (t=0). You agree to pay back $3,637.64 in 4 years (t=4). The interest rate (%) that the bank charge you is closest to ________%. Input your answer without the % sign and round your answer to two decimal places.For each of the following situations involving single amounts, solve for the unknown. Assume that interest is compounded annually. (i= interest rate, and n = number of years) Note: Use tables, Excel, or a financial calculator. Round your final answers to nearest whole dollar amount. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) 1. 2. 3. 4. 5. Present Value Future Value 80,000 94,000 50,000 200,000 $ $ $ $ $ 31,841 $ 15,762 $ 84,482 $ 13,291 i 7% 8% 9% n 9 16 10 15 1
- ind the future value of the following annuities. The first payment in these annuities is made at the end of Year 1, so they are ordinary annuities. (Notes: If you are using a financial calculator, you can enter the known values and then press the appropriate key to find the unknown variable. Then, without clearing the TVM register, you can "override" the variable that changes by simply entering a new value for it and then pressing the key for the unknown variable to obtain the second answer. This procedure can be used in many situations, to see how changes in input variables affect the output variable. Also, note that you can leave values in the TVM register, switch to Begin Mode, press FV, and find the FV of the annuity due.) Do not round intermediate calculations. Round your answers to the nearest cent. $800 per year for 10 years at 12%. $ $400 per year for 5 years at 6%. $ $800 per year for 5 years at 0%. $ Now rework parts a, b, and c assuming that payments are made…Compute the interest rate if future value (FV) = $7,198, present value (FV) = $2,694, and number of years (t) = 9. (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.):The following is a partial balance table for a simple interest account that deposits the interest every year in the image. Find B(18). Round your answer to the nearest penny. Do not input the dollar sign. Input just the number. For example: 1524.32
- For items 16-30, when asked about an amount of money (interest, discount, present value, future value, annuity, regular payment) round off your final answers to two decimal place values. When asked about rate of interest, express your final answer as percent rounded off to two decimal place values. When asked about time, round off answers to the nearest year., except when asked for the number of days. For items 16-20. Suppose that Zab borrowed −−₱50,000 from a cooperative on January 8, 2020 and paid the entire sum including interest on April 3 of the same year, and that the interest rate is 1.5%. 16. Determine the exact time for the computation of exact interest.17. Determine the approximate time for the computation of ordinary interest.18. Find the amount of interest earned, if it is computed using the exact simple interest.19. Find the amount of interest earned, if it is computed using the ordinary simple interest.20. Find the amount of interest earned, if it is computed using the…1) Let y be the balance in an account if you deposit $5000 for x years at 4% APR compounded monthly. USE ALL DECIMALS except in e and fand h! a) Write the formula for y = f(x) b) Then rewrite the formula as an annual compounding (APY) formula as shown in the Lecture 16 notes. y = (rewritten). c) The APY (clear from part b) is: d) Then use the 2âd version of y to write y ' - e) How much is the investment worth after 7 years? f) How fast is the investment growing after 7 years? g) What is the percentage rate of growth (PROC) after 7 years as a percent? USE ALL DECIMALS! h) Write a sentence translating into English your answer for f' (7) : i) Show the second way to find the derivative of your formula in a) using the chain rule (as found in the chain rule lecture): j) Find y'(7) from your answer in j and confirm it is the same (at least to 7 decimals) as using the formula in d.For each of the following annuities, calculate the future value. Note: Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. Future Value Annual Payment Years Interest Rate $ 1,520 10 9% $ 6,540 34 10 $ 3,640 7 10 $ 8,330 36 11