1. A series of equal monthly cash flows of $2,000 starts on 1 April 2016 and the last one is made on 1 February 2018. These cash flows are equivalent to a series of semi-annual cash flows which starts from 1 July 2019 to 1 January 2028. What is the amount of each semi-annual cash flow? Use a nominal interest rate of 12% with monthly compounding on all accounts. (8 pts)

1. A series of equal monthly cash flows of $2,000 starts on 1 April 2016 and the last one is made on 1 February 2018. These cash flows are equivalent to a series of semi-annual cash flows which starts from 1 July 2019 to 1 January 2028. What is the amount of each semi-annual cash flow? Use a nominal interest rate of 12% with monthly compounding on all accounts. (8 pts)

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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What single amount on April 1, 2019, is equivalent to a series of equal, semiannual cash flows of $1500 that starts with a cash flow on January 1, 2017, and ends with a cash flow on January 1, 2027? The interest rate is 14% and compounding is quarterly.
1. For each of the following cases, calculate the future value of the single cash flow deposited today that will be available at the end of the deposit period if the interest is compounded annually at the rate specified over the given period. Case Single Cash Flows ($) Interest Rate (%) Deposit Period (years) A $100 3.5% 30 B $5,000 10% 25 C $12,500 12% 7 D $23,200 14% 10
1. Future Value 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. Part Single CF Interest Rate Deposit Period (Years) PV I/Y N A $900 3% B $1200 6% C $16,000 9% D $40,000 10% 6 8 12 15
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1. What balance will be in an account at the end of 10 years, if € 3 500 is deposited today and the account earns 3,5% annual interest, compounded a) annually? b) semi-annually? c) quarterly? d) monthly? using TVM functions mannully Principal Interest rate Time period Compounding frequency Total number of compounding periods Interest per period Total Interest earned Final balance = FV Final balance = FV (EUR) (as a decimal) (number of years) (times per year) (as a decimal) (EUR) (EUR) (EUR) 3,500 0.035 10 1 10 0.0350 1,437.10 4,937.10 4,937.10 3,500 0.035 10 2 20 0.0175 1,451.72 4,951.72 4,951.72 3,500 0.035 10 4 40 0.0088 1,459.18 4,959.18 4,959.18 3,500 0.035 10 12 120 0.0029 1,464.21 4,964.21 4,964.21
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