For each of the cases shown in the following table, calculate the future value of the single cash flow deposited today and held until the end of the deposit period if the interest is compounded annually at the rate specified. art Single CF Interest Rate Deposit Period (Years) - PV N A $900 6 B $1200 8 C $16,000 12 7 $40.000 15 I/Y 3% 6% 9% 10%
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- 1. For each of the following cases, calculate the future value of the single cash flow deposited today that will be available at the end of the deposit period if the interest is compounded annually at the rate specified over the given period. Case Single Cash Flows ($) Interest Rate (%) Deposit Period (years) A $100 3.5% 30 B $5,000 10% 25 C $12,500 12% 7 D $23,200 14% 103. Present Value For each of the cases shown in the following table, calculate the present value of the cash flow, discounting at the rate given and assuming that the cash flow is received at the end of the period noted. Part Single CF Interest Rate Deposit Period (Years) A $800 6 B $1200 7 C $12,000 8 D $35,000 10 3% 6% 8% 10%You deposit $8000 in year 1, $7500 in year 2, and amounts decreasing by $500 per year through year 10. At an interest rate of 10% per year, determine the annual worth equivalent through year 1 to 10. Select one: O a. 10282.48 O b. 6137.27 O c. 4540.89 O d. 5717.52 O e. 9862.73
- Find the periodic payment for each of the following scenarios, where m is the periodic deposit and r is the interest rate. Future compounding time periodic interest in Value frequency deposit (m) earned years $ $200,000 5% annually 10 12.5779 15905.29 $ $250,000 7.8% semiannually 11 34.6003 7225.43 $ $125,000 3.7% quarterly 15 120.3921 1038.46 $ $ $225,000 3% monthly 15 $ $175,000 7.5% weekly 12 A4-4 Future values For each of the cases shown in the following table, calculate the future value of the single cash flow deposited today that will be available at the end of the deposit period if the interest is compounded annually at the rate spec- ified over the given period. Case Single cash flow Interest rate Deposit period (years) A 24 200 5% 20 В 4,500 8. C 10,000 9. 10 25,000 10 12 37,000 11 F 40,000 12 9Future values For the case shown in the following table, calculate the future value of the single cash flow deposited today and held until the end of the deposit period if the interest is compounded annually at the rate specified. (Click on the icon here in order to copy the contents of the data table below into a spreadsheet.) The future value is $. (Round to the nearest cent.) Single cash flow $5,500 Interest rate 9% Deposit period (years) 14
- Consider each of the following deposit cash flow series. What will the final balance be (e.g., future equivalent value) after the final deposit? Assume the account earns 10% interest compounded annually. a) b) Year Cash Flow/$ Year Cash Flow/$ 0 25 0 35 1 50 1 60 2 75 2 75 3 100 3 110 4 125 4 135 5 150 5 160Calculate the present value of the following single amounts. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use appropriate factor(s) from the tables provided. Round your answers to 2 decimal places.) Future Value Annual Rate Interest Compounded Period Invested Present Value 1. $8,300 4 % Annually 3 years $7,378.70 2. 5,300 10 % Semiannually 6 years 4,578.35 3. 4,300 8 % Quarterly 2 yearsFor the follwing case, determine the number of years it wll take for the intitial deposit to grow to equal the future amount the given interest rate. Initial Deposit Future Amount Interest Rate $9,998 $18,400 17%
- rch LG2 PS-4) Future values For each of the cases shown in the following table, calculate the future value of the single cash flow deposited today at the end of the deposit perk if the interest is compounded annually at the rate specified. AAVA** C D Single cash flow $ 200 4,500 10,000 25,000 37,000 40,000 Interest rate O E 8 9 10 11 Deposit period (years) 20 7 10 в гроParts a–c for each of the following cases. Answer parts a–c for each of the following cases. Case Amount of Initial Deposit ($) Stated Annual Rate, r(%) Compounding Frequency, m (times/year) Deposit Period (years) A 2,500 6 2 5 B 50,000 12 6 3 C 1,000 5 1 10 D 20,000 16 4 6 a. Calculate the future value at the end of the specified deposit period.b. Determine the effective annual rate (EAR).c. Compare the stated annual rate (r) to the effective annual rate(EAR). What relationship exists between compounding frequency and the stated and effective annual rates?Required 1 Calculate the future value. On January 1, 2020, $30,000 is deposited into a savings account. Assuming a 4% interest rate, calculate the amount accumulated on January 1, 2023, if interest is compounded annually. N (period of time) | (Interest) PV (Present Value FV (Future Value) PMT (Annuity) On January 1, 2020, $30,000 is deposited into a savings account. Assuming a 4% interest rate, calculate the amount accumulated on January 1, 2023, if interest is compounded semi-annually. N (period of time) | (Interest) PV (Present Value FV (Future Value) PMT (Annuity) Page 1 On January 1, 2020, $30,000 is deposited into a savings account. Assuming a 4% interest rate, calculate the amount accumulated on January 1, 2023, if interest is compounded quarterly. N (period of time) | (Interest) PV (Present Value FV (Future Value) PMT (Annuity) 2 In each of the three scenarios the FV should continue to increase. Explain why this passes the reasonablenes test.