Morgan has $500,000 accumulated in her RRSP and intends to use the amount to purchase a 20-year annuity. She is investigating the size of annuity payment she can expect to receive, depending on the rate of return earned by the undistributed funds. What nominal rate of return must the funds earn for the monthly payment to be: a. $3000? b. $3500? c. $4000

Morgan has $500,000 accumulated in her RRSP and intends to use the amount to purchase a 20-year annuity. She is investigating the size of annuity payment she can expect to receive, depending on the rate of return earned by the undistributed funds. What nominal rate of return must the funds earn for the monthly payment to be: a. $3000? b. $3500? c. $4000

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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The Wright family wants to save money to travel the world. They purchase an annuity with a yearly payment of s480 that earns 4% interest, compounded annually. Payments will be made at the end of each year. Find the total value of the annuity in 14 years. Do not round any intermediate computations, and round your final answer to the nearest cent. If necessary, refer to the list of financial formulas.
Amy purchases an annuity that will give her payments of R at the end of each quarter for seven years. She will receive the first of these payments in 1.5 years. If Amy paid $50,000 for this annuity and will earn a nominal rate of interest of 6% compounded quarterly,(a) write the equation of value (using the appropriate actuarial notation) for this annuity at the time of purchase. Be sure to indicate the effective rate per payment period being used.(b) find the value of R.
The Good Fairy has offered to give you $1,000,000 in 20 years. She has volunteered to deposit the present value of the $1,000,000 in a trust managed by a bank or insurance company of your choice. How much must the Good Fairy deposit if the investment earns annual compounding interest of 5 percent?
Mary is going to receive a 31-year annuity of $8,600 per year. Nancy is going to receive a perpetuity of $8,600 per year. If the appropriate interest rate is 9 percent, how much more is Nancy’s cash flow worth?
Q1) Molly receives $3,700 from an investment at the beginning of every month for 2 years at 3.62% compounded semi-annually. What type of annuity is this? Q2) Jeffrey deposits $450 at the end of every quarter for 4 years and 6 months in a retirement fund at 5.30% compounded semi-annually. What type of annuity is this?Q3) How much should Shawn have in a savings account that is earning 3.75% compounded quarterly, if he plans to withdraw $2,250 from this account at the end of every quarter for 7 years?
On the basis of how long she has until retirement and her comfort with investment risk, Chelsea has decided that she wants to allocate the money in her retirement account as follows: 75% to equities, 20% to fixed income, and 5% to cash. If Chelsea assumes that each asset class earns the low end of the historical average rates of return provided below, what overall rate of return would she expect to earn over the long term? Equities: 8%-12% Fixed Income: 4% - 7% . Cash: 2% - 5% . O 6.90% O 5.60% O 10.65% O 7.75% 4.67%
At the time of her grandson's birth, a grandmother deposits $4000 in an account that pays 4% compounded monthly. What will be the value of the account at the child's twenty-first birthday, assuming that no other deposits or withdrawals are made during this period? Click the icon to view some finance formulas. The value of the account will be $ (Round to the nearest dollar as needed.) Formulas In the provided formulas, A is the balance in the account after t years, P is the principal investment, r is the annual interest rate in decimal form, n is the number of compounding periods per year, and Y is the investment's effective annual yield in decimal form. nt A=P(1+1) " P= A (₁.3⁰² Print A=Pet Y Done -1
Jennifer Davis is saving to buy a house in five years. She plans to put 20 percent down at that time, and she believes that she will need $28,000 for the down payment. If Jennifer can invest in a fund that pays 7.0 percent annual interest, compounded quarterly, how much will she have to invest today to have enough money for the down payment? (Round intermediate calculations to 6 decimal places, e.g. 2.512512 and final answer to 2 decimal places, e.g. 2,515.25.) Excel Template (Note: This template includes the problem statement as it appears in your textbook. The problem assigned to you here may have different values. When using this template, copy the problem statement from this screen for easy reference to the values you've been given here, and be sure to update any values that may have been pre-entered in the template based on the textbook version of the problem.) Amount to be invested today
Gary is planning for his retirement this year. One option that has been presented to him is the purchase of an annuity that would provide a $31, 000 payment each year for the next 18 years. Factor Table Appendix 9.1 Present value of $1 received in n periods = 0.1799 Appendix 9.2 Present value of an annuity of $1 per period= 8.2014 Calculate how much Gary should be willing to pay for the annuity if he can invest his funds at 10% ( For calculation purposes, use 4 decimal places as displayed in the factor table provided and round the final answer to 0 decimal places, e.g. 58,971)
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Ramesh Abdul wishes to choose the better of two equally costly cash flow streams: annuity X and annuity Y. X is an annuity due with a cash inflow of $9,000 for each of 6 years. Y is an ordinary annuity with a cash inflow of $10,000 for each of 6 years. Assume that Ramesh can earn 15% on his investments.
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