Problem 4 and 5-3 Future Value and Number of Annuity Payments Your client has been given a trust fund valued at $1.18 million. He cannot access the money until he turns 65 years old, which is in 25 years. At the time, he can withdraw $21,000 per month. If the trust fund is invested at a 4.5 percent rate, how many months will it last your client once he starts to withdraw the money? (Assume annual compounding. Do not round intermediate calculations and round your final answer to 2 decimal places.) Number of months X₁ 156.48

Problem 4 and 5-3 Future Value and Number of Annuity Payments Your client has been given a trust fund valued at $1.18 million. He cannot access the money until he turns 65 years old, which is in 25 years. At the time, he can withdraw $21,000 per month. If the trust fund is invested at a 4.5 percent rate, how many months will it last your client once he starts to withdraw the money? (Assume annual compounding. Do not round intermediate calculations and round your final answer to 2 decimal places.) Number of months X₁ 156.48

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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Tutorial Exercise Suppose that your bank pays 6% interest, compounded quarterly. Use Table 12-2 to find how much should be deposited now to yield an annuity payment of $1,600 at the end of each three months, for 3 years. Step 1 The present value of an annuity is the amount needed now so that desired annuity payments may be made in the future. Since payments will be made at the end of each three months, this is an ordinary annuity. To find the present value of this annuity, the amount of money that should be deposited in an account now, the interest rate per period must first be found. The interest rate per period is calculated using the nominal, or annual, rate and the number of periods per year as follows. nominal rate interest rate per period = periods per year The rate was given to be 6%. Interest is compounded quarterly, or 4 times per year. Find the interest rate per period. nominal rate interest rate per period periods per year 4 |% The total number of compounding periods will be…
You have a chance to buy an annuity that pays $5,700 at the end of each year for 3 years. You could earn 5.5% on your money in other investments with equal risk. What is the most you should Dav for the annuity? a $15,378.22 b. $16,454.70 c. $11,687.45 d. $14,763.09 e. $13.532.83
Give typing answer with explanation and conclusion
Assume that you own an annuity that will pay you $14,000 per year for 12 years, with the first payment being made today. You need money today to start a new business, and your uncle offers to give you $125,000 for the annuity. If you sell it, what rate of return would your uncle earn on his investment? a. 11.20% b. 4.46% c. 4.87% d. 20.01% e. 5.90%
Question 2 What is the future value of a $810 annuity payment over four years if interest rates are 8 percent? (Do not round intermediate calculations and round your final answer to 2 decimal places.) Future Value?
6. You are contemplating the purchase of a twenty-four year (variable) annuity that promises cash flows in the following pattern, repeating every four years: 1e 2e 3e 4e 21e 24 22 23 $1,600- $1,500- $1,400 $1,300- $1,600 $1,500 $1,400 $1,300 Suppose you don't like the fluctuations in the amount of your annual benefits.e a. What annual rate of return would you use to convert these (end-of-year) cash flows to equal annual (end-of-year) amounts if you required an APR of 14.4%, compounded monthly?e b. Without prejudice to your answer in part a, suppose that your required annual rate of return is 15%, what equal annual (beginning-of-year) payments over the twenty-four year period would be equivalent to the cash flow stream depicted above?
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