Financial contracts involving investments, mortgages, loans, and so on are based on either a fixed or a variable interest rate. Assume that fixed interest rates are used throughout this question. Emma deposited $500 in a savings account at her bank. Her account will earn an annual simple interest rate of 9%. If she makes no additional deposits or withdrawals, how much money will she have in her account in 11 years? O $145.00 O $1,290.21 O $995.00 O $549.05 Now, assume that Emma's savings institution modifies the terms of her account and agrees to pay 9% in compound interest on her $500 balance. All other things being equal, how much money will Emma have in her account in 11 years? O $1,290.21 O $116.12 O $545.00 O $995.00 Suppose Emma had deposited another $500 into a savings account at a second bank at the same time. The second bank also pays a nominal (or stated) interest rate of 9% but with quarterly compounding. Keeping everything else constant, how much money will Emma have in her account at this bank in 11 years? O $130.56 O $145.00 O $546.54 O $1,330.93

Financial contracts involving investments, mortgages, loans, and so on are based on either a fixed or a variable interest rate. Assume that fixed interest rates are used throughout this question. Emma deposited $500 in a savings account at her bank. Her account will earn an annual simple interest rate of 9%. If she makes no additional deposits or withdrawals, how much money will she have in her account in 11 years? O $145.00 O $1,290.21 O $995.00 O $549.05 Now, assume that Emma's savings institution modifies the terms of her account and agrees to pay 9% in compound interest on her $500 balance. All other things being equal, how much money will Emma have in her account in 11 years? O $1,290.21 O $116.12 O $545.00 O $995.00 Suppose Emma had deposited another $500 into a savings account at a second bank at the same time. The second bank also pays a nominal (or stated) interest rate of 9% but with quarterly compounding. Keeping everything else constant, how much money will Emma have in her account at this bank in 11 years? O $130.56 O $145.00 O $546.54 O $1,330.93

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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Assume that you need $1,000 four years from today. Your bank compoundsinterest at an 8 percent annual rate. a.How much must you deposit one year from today to have a balance of$1,000 in your account four years from today? b.If you want to make equal payments each year, how large must each of thefour payments be if the first deposit is made one year from today? c.If your father were to offer either to make the payments calculated in part(b) ($221.92) or to give you a lump sum of $750 in one year, which wouldyou choose? d.If you have only $750 in one year, what interest rate, compounded annually,would you have to earn to have the necessary $1,000 four years from today? e.Suppose you can deposit only $186.29 each for the next four years, begin-ning in one year, but you still need $1,000 in four years. At what interestrate, with annual compounding, must you invest to achieve your goal? f. To help you reach your $1000 goal, your father offers to give you $400 in one year. You will get…
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