Lauren deposits: • $240 at the beginning of year 1; $220 at the beginning of year 2; • $100 at the beginning of year 8; into a fund. Three year after the last deposit, Lauren withdraws the accumulated value of the fund and uses it to buy a perpetuity-immediate with level payments of Z at the end of each year. All calculations assume an annual interest rate of 10%. Calculate Z.

Lauren deposits: • $240 at the beginning of year 1; $220 at the beginning of year 2; • $100 at the beginning of year 8; into a fund. Three year after the last deposit, Lauren withdraws the accumulated value of the fund and uses it to buy a perpetuity-immediate with level payments of Z at the end of each year. All calculations assume an annual interest rate of 10%. Calculate Z.

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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Starting six months after her grandson Robin's birth, Mrs. Devine made deposits of $230 into a trust fund every six months until Robin was twenty-one years old. The trust fund provides for equal withdrawals at the end of each six months for three years, beginning six months after the last deposit. If interest is 6.7% compounded semi-annually, how much will Robin receive every six months?
Since the birth of her daughter, 20 years ago, William has deposited $50 at the beginning of every month into a Registered Education Savings Plan (RESP). The interest rate on the plan was 5.10% compounded monthly for the first 8 years and 4.00% compounded monthly for the next 12 years. a. What would be the accumulated value of the RESP at the end of 8 years? Round to the nearest cent b. What would be the accumulated value of the RESP at the end of 20 years? Round to the nearest cent c. What is the amount of interest earned during the 20 year period? Round to the nearest cent
Joe can purchase one of two annuities: Annuity 1: A 10-year decreasing annuity-immediate, with annual payments of 10, 9, 8, 1. Annuity 2: A perpetuity-immediate with annual payments. The perpetuity pays 1 in year 1, 2 in year 2, 3 in year 3., and 11 in year 11. After year 11, the payments remain constant at 11. At an annual effective interest rate of i, the present value of Annuity 2 is twice the present value of Annuity 1. Calculate the value of Annuity 1. A 8 с D 36.4 37.4 38.4 394
Clearlake Optical has a $50,000 note that comes due in 6 years. The owners wish to create a sinking fund to pay this note. If the fund earns 2.5% compounded semiannually, how much must each semiannual deposit be? (Round your answer to the nearest cent.)$
Kia deposited $1,300, at the BEGINNING of each year for 26 years in a credit union account. If the account paid 8% interest, compounded annually, use the appropriate formula to find the future value of her account. $95,037.72$103,940.74 $112,256.00$113,556.00
13) Janice borrows $25,000 from the bank at 15 percent to be repaid in 10 equal annual installments. Calculate the end-of-year payment.
At time 0, Heather invests $750 into Fund A that pays a varying force of interest of 0.09t until the end of the third year; after the third year, it pays an annual effective discount rate of 5.5% for three more years. Jane deposits $900 into Fund B that pays a constant force of interest, δ, for the first four years, and after that, pays an annual effective interest rate of 8.5% for three more years. Over the duration of her investment, Heather earned 25% more interest than Jane earned over the duration of her investment. Calculate δ.
Dylan contributed $700 at the end of every 3 months, for 4 years, into a Registered Retirement Savings Plan (RRSP) earning 3.50% compounded quarterly. a. What is the future value of the fund at the end of 4 years? $0.00 Round to the nearest cent b. What is the amount of interest earned over the 4-year period? $0.00 Round to the nearest cent
Brittany contributed $3,750 at the end of every 3 months, for 5 years, into a Registered Retirement Savings Plan (RRSP) earning 3.50% compounded quarterly. a. What is the future value of the fund at the end of 5 years? $0.00 Round to the nearest cent b. What is the amount of interest earned over the 5-year period? $0.00 Round to the nearest cent
2. Andrew deposit $2 into a fund at time 0. Money in this fund accumulates at an effective annual interest rate of i during the first 5 years, and at an effective annual interest rate of 2i thereafter. This deposit accumulates to 6.18 at the end of 10 years and to 27.47 at the end of 20 years. What is the value of the deposit at the end of 7 years? Solution:
Mr. Peabody drove to his bank and deposited $500 at the end of every three months for 15.6 years. What is the accumulated value of Mr. Peabody's annuity at 4.95% compounded semi-annually?
Erica purchased an annuity that had an interest rate of 3.75% compounded semi- annually. It provided him with payments of $3,000 at the end of every month for 3 years. If the first withdrawal is to be made in 4 years and 1 month, how much did he pay for it? $0.00 Round to the nearest cent

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