Business, 29.07.2020 06:01 oliviakgobbell

You are trying to decide how much to save for retirement. Assume you plan to save $5,000 per year with the first investment made one year from now. ou think you can earn 11.0% per year on your investments and you plan to retire in 41 years, immediately after making your last $5,000 investment. a. How much will you have in your retirement account on the day you retire?
b. If, instead of investing $5,000 per year, you wanted to make one lump-sum investment today for your retirement that will result in the same retirement saving, how much would that lump sum need to be?
c. If you hope to live for 28 years in retirement, how much can you withdraw every year in retirement (starting one year after retirement) so that you will just exhaust your savings with the 28th withdrawal (assume your savings will continue to earn 11.0% in retirement)?
d. If, instead, you decide to withdraw $647,000 per year in retirement (again with the first withdrawal one year after retiring), how many years will it take until you exhaust your savings?
e. Assuming the most you can afford to save is $ 1 comma 000$1,000 per year, but you want to retire with
$1,000,000 in your investment account, how high of a return do you need to earn on your investments?

Answers: 1

Show answers

Answers

Answer from: sofyan00404

a. How much will you have in your retirement account on the day you retire?

future value of the annuity = annual payment x (FV annuity factor, 11%, 40 periods) = $5,000 x 581.826 = $2,909,130

b. If, instead of investing $5,000 per year, you wanted to make one lump-sum investment today for your retirement that will result in the same retirement saving, how much would that lump sum need to be?

present value = future value / (1 + interest rate)ⁿ = $2,909,130 / 1.11⁴¹ = $40,320.04

c. If you hope to live for 28 years in retirement, how much can you withdraw every year in retirement (starting one year after retirement) so that you will just exhaust your savings with the 28th withdrawal (assume your savings will continue to earn 11.0% in retirement)?

payment = present value / annuity factor (PV annuity factor, 11%, 28 years) = $2,909,130 / 8.60162 = $338,207.22

d. If, instead, you decide to withdraw $647,000 per year in retirement (again with the first withdrawal one year after retiring), how many years will it take until you exhaust your savings?

We can first try to get an approximate answer. The annuity factor = $2,909,130 / $647,000 = 4.49633694. Now looking at an annuity table we can look at the closest amount for 11%. The answer is between 6 years (annuity factor 4.2305) and 7 years (annuity factor 4.7122). This means that in less than 7 years you will have no more money left.

e. Assuming the most you can afford to save is $ 1 comma 000$1,000 per year, but you want to retire with $1,000,000 in your investment account, how high of a return do you need to earn on your investments?

Again we must use the future value to determine the annuity factor. Annuity factor = $1,000,000 / $1,000 = 1,000. Using an annuity calculator to determine the closest rate (for 40 periods) = 12.9515% ≈ 12.95%

Answer from: Quest

hopefull this will you!

the business rule that governs the relationship is one-to-many as there are multiple customers for each agent.

Answer from: Quest

answer: tell me how

explanation:

Another question on Business

Business, 21.06.2019 14:30

Consider a two-firm industry. firm 1 (the incumbent) chooses a level of output q1. firm 2 (the potential entrant) observes q1 and then chooses its level of output q2. the demand for the product is p = 100 - q, where q is the total output sold by the two firms which equals q1 +q2. assume that the marginal cost of each firm is zero. a) find the subgame perfect equilibrium levels of q1 and q2 keeping in mind that firm 1 chooses q1 first and firm 2 observes q1 and chooses its q2. find the profits of the two firms-? 1 and ? 2- in the subgame perfect equilibrium. how do these numbers differ from the cournot equilibrium? b) for what level of q1 would firm 2 be deterred from entering? would a rational firm 1 have an incentive to choose this level of q1? which entry condition does this market have: blockaded, deterred, or accommodated? now suppose that firm 2 has to incur a fixed cost of entry, f > 0. c) for what values of f will entry be blockaded? d) find out the entry deterring level of q1, denoted by q1b, as a function of f. next, derive the expression for firm 1

Answers: 1

Answer

Business, 21.06.2019 21:00

On january 1, 2018, red flash photography had the following balances: cash, $19,000; supplies, $8,700; land, $67,000; deferred revenue, $5,700; common stock $57,000; and retained earnings, $32,000. during 2018, the company had the following transactions: 1. february 15 issue additional shares of common stock, $27,000. 2. may 20 provide services to customers for cash, $42,000, and on account, $37,000. 3. august 31 pay salaries to employees for work in 2018, $30,000. 4. october 1 purchase rental space for one year, $19,000. 5. november 17 purchase supplies on account, $29,000. 6. december 30 pay dividends, $2,700. the following information is available on december 31, 2018: 1. employees are owed an additional $4,700 in salaries. 2. three months of the rental space has expired. 3. supplies of $5,700 remain on hand. 4. all of the services associated with the beginning deferred revenue have been performed.required: 1. record the transactions that occurred during the year.2. record the adjusting entries at the end of the year.3. prepare an adjusted trial balance.4. prepare an income statement, statement of stockholders’ equity, and classified balance sheet.5. prepare closing entries.

Answers: 2

Answer

Business, 21.06.2019 23:30

Renaldo scanlon is a financial consultant. he earns $30 per hour and works 32.5 hours a week. what is his straight-time pay?

Answers: 1

Answer

Business, 22.06.2019 06:10

Amanda works as an industrial designer

Answers: 1

Answer

You know the right answer?

You are trying to decide how much to save for retirement. Assume you plan to save $5,000 per year wi...