You plan to prepare for retirement by making monthly contributions $1,500 to a savings accountthat pays 10% interest per year, compounded continuously.4.Determine the accumulated savings in this account after 30-year (360-month) investment.The accumulated savings in Part (a) will be used to provide a monthly annuity for the next10 years after 30-year investment. What is the amount of the annuity if the interest rate andcompounding frequency do not change?(a)(b)

Annuity means no. of finite payments which are same in size and made in equal intervals. Person gets…

Answered: You plan to prepare for retirement by…

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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Find the present value of a 5-year annuity due if the annual payments are $600 and the interest rate is 11%. What is the difference between the present value of the annuity and the present value of the ordinary 5-year annuity?
Find the amount accumulated FV in the given annuity account. (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $170 deposited monthly for 20 years at 3% per year in an account containing $11,000 at the start Find the periodic payments PMT necessary to accumulate the given amount in an annuity account. (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $90,000 in a fund paying 6% per year, with monthly payments for 5 years
Research annuities and calculate an annuity that pays you monthly (like a pension) for a 30 year period given starting capital of $500,000 and an average interest rate available on the money as a time deposit during the period of 3%.
Find the future value of an annuity due of $1,500 semiannually for six years at 7% annual interest compounded semiannually. What is the total investment? What is the interest? E Click the icon to view the Future Value of $1.00 Ordinary Annuity table. The future value is $. (Round to the nearest cent as needed.)
Find the amount accumulated FV in the given annuity account. (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $2,200 is deposited quarterly for 20 years at 3% per year FV = $ Need Help? Read It Watch It Submit Answer
Find the amount accumulated FV in the given annuity account. HINT [See Quick Example 1 and Example 1.] (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $150 is deposited monthly for 15 years at 6% per year
3. Use the annuity formula to calculate the future value of an annuity where you deposit $50 into an account gaining 5% interest for 3 years. Assume monthly deposits. Write out the formula first to show your work.
Suppose you are going to receive $11,000 per year for 8 years. The appropriate interest rate is 11 percent per year. Requirement 1: What is the present value of the payments if they are in the form of an ordinary (a)annuity (cash flow starts at the end of the first compounding period)? (Click to select) (b) What is the present value if the payments are an annuity due (cash flow starts at the beginning of the first compounding period)? (Click to select) Requirement 2: (a)Suppose you plan to invest the payments for 8 years, what is the future value if the payments are an ordinary annuity? (Click to select) (b)Suppose you plan to invest the payments for 8 years, what is the future value if the payments are an annuity due? (Click to select)
Find the amount accumulated FV in the given annuity account. (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest ten dollars.) $200 deposited monthly for 15 years at 4% per year FV = $
Samuel wants to make regular annual payments of size P dollars into an annuity that pays interest of an annual rate of 0.25 or 25%. He wants to have 1.5 times the invested amount in the account after 5 years. A) Determine the size, P of the required annual payment. B) Create a table and do a step by step calculation to verify your answer in part A
Find the periodic withdrawals PMT for the given annuity account. (Assume end-of-period withdrawals and compounding at the same intervals as withdrawals. Round your answer to the nearest cent.) $200,000 at 6%, paid out monthly for 11 years PMT = $ Need Help? Read It Watch It
An insurance settlement of $3 million must replace Trixie Eden's income for the next 30 years. What income will this settlement provide at the end of each month if it is invested in an annuity that earns 8.1%, compounded monthly? (a) Decide whether the problem relates to an ordinary annuity or an annuity due. ordinary annuityannuity due (b) Solve the problem. (Round your answer to the nearest cent.) $

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