Find the future value for each of the following scenarios, where m is the periodic deposit and r is the interest rate. compounding time future E r frequency in years value $450 5.5% annually 9 $425 3.2% semiannually 7 $275 5.5% quarterly 13 S S $500 2.1% monthly 14 S $325 3% weekly 13 S S S interest earned
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- 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 AFind the future value for each of the following scenarios, where m is the periodic deposit and r is the interest rate. Future Value $50,000 7.8% $225,000 6.9% $200,000 6.5% $275,000 3.9% $125,000 5.2% r compounding frequency annually semiannually quarterly monthly weekly time in years 6 15 10 $ 11 $ 13 $ periodic deposit (m) $ interest earnedFind 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 Value frequency in years deposit (m) earned $300,000 6.1% annually 10 $ $200,000 7.3% semiannually 13 $ tA $50,000 3.8% quarterly 5 $125,000 4% monthly 11 tA SA $75,000 2.8% weekly 10 SA A A
- Find the value of the ordinary annuity at the end of the indicated time period. The payment R, frequency of deposits m (which is the same as frequency compounding) annual interest rate r, and time t amount $800 monthly interest rate 5.5%6years what is the future value of the given annuFor 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%Find the value of the annuity at the end of the indicated number of years. Assume that the interest is compounded with the same frequency as the deposits. (Round your answer to the nearest cent.) Amount of Deposit Frequency Rate Time m n annually 1% 30 уг $800 Need Help? Read It %24
- Compounding frequency, time value, and effective annual rates For each of the cases in the following table, а. Calculate the future value at the end of the specified deposit period. b. EAR. Determine the effective annual rate, С. Compare the nominal annual rate, r, to the effective annual rate, EAR. What relationship exists between compounding frequency and the nominal and effective annual rates? Case Initial Nom annual rate Comp.frq. Deposit Period A $2,700 7% 25 B $50,000 12% 4 3 C $1,100 7% 1 11 D $20,000 17% 4 8Find the periodic payment for each of the following scenarios, where m is the periodic deposit and r is the interest rate. Future Value r $200,000 7.4% annually $25,000 5.1% semiannually $100,000 4.4% compounding time periodic in frequency years $150,000 5.5% $150,000 2.4% quarterly monthly weekly 5 13 13 deposit (m) $ $ tA $ interest earned 10000For 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. (i = interest rate, and n = number of years) Present Value Annuity Amount i n1. ? $ 3,000 8% 52. $ 242,980 75,000 ? 43. 161,214 20,000 9 ?4. 500,000 80,518 ? 85. 250,000 ? 10 4 Sandy Kupchack just graduated from State University with a bachelor’s degree in history. During her four years at the university, Sandy accumulated $12,000 in student loans. She asks for your help in determining the…
- For each of the following cases, indicate (a) to what rate columns, and (b) to what number of periods you would refer in looking up the interest factor.1. In a future value of 1 table: Annual Rate Number of Years Invested Compounded (a) Rate of Interest (b) Number of Periods a. 11% 10 Annually % b. 8% 8 Quarterly % c. 10% 19 Semiannually % 2. In a present value of an annuity of 1 table: (Round answers to 1 decimal place, e.g. 458,58.1.) Annual Rate Number of Years Invested Number of Rents Involved Frequency of Rents (a) Rate of Interest (b) Number of Periods a. 12% 30 30 Annually % b. 11% 16 32 Semiannually % c. 12% 8 32 Quarterly %Parts a–c for each of the following cases. Answer parts a–c for each of the following cases. Case Amount of Initial Deposit ($) 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?For each of the following cases, indicate (a) to what rate columns, and (b) to what number of periods you would refer in looking up the interest factor. 1. In a future value of 1 table: Annual Rate Number of Years Invested Compounded (a) Rate of Interest a. 9% 12 Annually b. 8% 7 Quarterly C. 12% 16 Semiannually % % % (b) Number of Periods 2. In a present value of an annuity of 1 table: (Round "Rate of Interest" answers to 1 decimal place, e.g. 4.5% and other answers to O decimal places, e.g 45.) Annual Number of Years Rate Invested Number of Rents Involved Frequency of Rents (a) Rate of Interest (b) Number of Periods a. 10% 28 28 Annually b. 10% 15 30 Semiannually % % 8% 7 28 Quarterly %