Continuous compounding For the case in the following table, find the future value at the end of the deposit period, assuming that interest is compounded continuously at the given nominal annual rate. (Click on the icon here in order to copy the contents of the data table below into a spreadsheet.) The future value at the end of the deposit period is S. (Round to the nearest cent.) Amount of initial deposit $3,300 Nominal annual rate, r 15% Deposit period (years), n 6

Continuous compounding For the case in the following table, find the future value at the end of the deposit period, assuming that interest is compounded continuously at the given nominal annual rate. (Click on the icon here in order to copy the contents of the data table below into a spreadsheet.) The future value at the end of the deposit period is S. (Round to the nearest cent.) Amount of initial deposit $3,300 Nominal annual rate, r 15% Deposit period (years), n 6

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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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. EVA of $1. PVA of $1, EVAD of $1 and PVAD of $1) 1 2 3. 4. 5 Present Value 368,041 714,457 600,000 200,000 Annuity Amount $ 4,000 105,000 110.000 96,048 8% 10% 10% n= 5 4 9 4
For 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 4
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 4
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 %
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 %
Calculate the present value of the following annuities, assuming each annuity payment is made at the end of each compounding period. (FV of $1. PV of $1. FVA of $1, and PVA of $1) (Use tables, Excel, or a financial calculator. Round your answers to 2 decimal places.) 1. 2. 3. Annuity Payment $ 5,600 10,600 4,600 Annual Rate Interest Compounded Semiannually 9.0% 10.0% Quarterly 11.0% Annually Period Invested 3 years 2 years 5 years Present Value of Annuity
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: a. b. J C. a. b. Annual Rate C. 10% 8% 10% Annual Rate 9% 11% Number of Years Invested 12% 2. In a present value of an annuity of 1 table: (Round answers to 1 decimal place, e.g. 458,58.1.) Number of Rents Involved Number of Years Invested 29 16 10 7 7 20 29 32 Compounded 28 Annually Quarterly Semiannually Frequency of Rents Annually Semiannually (a) Rate of Interest Quarterly (a) Rate of Interest % % % % % % (b) Number of Periods (b) Number of Periods
Give typing answer with explanation and conclusion A deposit of $450 earns the following interest rates: 9 percent in the first year. 7 percent in the second year. 6 percent in the third year. What would be the third year future value?
Calculate the future value of the following annuities, assuming each annuity payment is made at the end of each compounding period. (FV of $1. PV of $1, EVA of $1, and PVA of $1) (Use tables, Excel, or a financial calculator. Round your answers to 2 decimal places.) 1. Annuity Payment $ 3,700 Annual Rate Interest Period Compounded Invested Future Value of Annuity 7.0% Semiannually 9 years 2. 6,700 8.0% Quarterly 5 years 3. 5,700 12.0% Annually 6 years
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
Calculate the future value of the following annuities, assuming each annuity payment is made at the end of each compounding period. (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.) Annuity Payment Annual Rate Interest Compounded Period Invested Future Value of Annuity 1. $3,100 8.0 % Semiannually 9 years $79,500.77 2. 6,100 10.0 % Quarterly 5 years 3. 5,100 12.0 % Annually 6 years
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: a. b. C. a. b. Annual Rate C. 11% 12% 12% Annual Rate 10% 11% 12% Number of Years Invested Number of Years Invested 25 14 6 11 7 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.) 19 Number of Rents Involved 25 28 Compounded 24 Annually Quarterly Semiannually Frequency of Rents Annually Semiannually (a) Rate of Interest Quarterly % (a) Rate of Interest % % % % de (b) Number of Periods % (b) Number of Periods

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