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With no taxes or inflation (Spreadsheet 21.1), what would be your retirement annuity if you increase the savings rate by 1%?

Short Answer

Expert verified

Changing the retirement annuity from 15% to 16% can lead to retirement annuity to $205,260.

Step by step solution

01

Definition of retirement annuity 

The system of paying regular guaranteed lifetime income to a retiree is known as retirement annuity.

02

Calculation of retirement annuity

Retirement Years 25

Income growth 0.07

Savings rate 0.016

ROR 0.06


Age

Income(a)

Savings b=(a x 16%)

Cumulative savings

Consumption(a)-(b)

30

$50,000

$8,000

$8,000

$42,000

31

$53,500

$8,560

$17,040

$44,940

35

$70,128

$11,220.48

$65,769

$58,908

45

$137,952

$22,072.32

$329,450

$115,880

55

$271,372

$43,419.52

$1,006,376

$227,952

65

$533,829

$85,412.64

$2,621,352

$448,416


$7,445,673

$1,191,308

Retirement annuity

$205,260

This implies that changing the retirement annuity from 15% to 16% can lead to retirement annuity being $205,360.

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Most popular questions from this chapter

You are a portfolio manager and senior executive vice president of Advisory Securities Selection, Inc. Your firm has been invited to meet with the trustees of the Wood Museum Endowment Funds. Wood Museum is a privately endowed charitable institution that is dependent on the investment return from a \(25 million endowment fund to balance the budget. The treasurer of the museum has recently completed the budget that indicates a need for cash flow of \)3 million in 2013, \(3.2 million in 2014, and \)3.5 million in 2015 from the endowment fund to balance the budget in those years. Currently, the entire endowment portfolio is invested in Treasury bills and money market funds because the trustees fear a financial crisis. The trustees do not anticipate any further capital contributions to the fund.

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In fact, several previous managers have been dismissed because of their inability to communicate with the trustees and their preoccupation with the fund’s relative performance rather than the cash flow needs.

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Explain in detail how each of the following relates to the determination of either investor objectives or investor constraints that can be used to determine the portfolio policies for this three-year period for the Wood Museum Endowment Fund.

a. Liquidity requirements.

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e. Tax considerations.

f. Regulatory and legal considerations.

g. Unique needs and circumstances.

1. Your client says, “With the unrealized gains in my portfolio, I have almost saved enough money for my daughter to go to college in eight years, but educational costs keep going up.” Based on this statement alone, which one of the following appears to be least important to your client’s investment policy? (LO 22-2)

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Here are data on three hedge funds. Each fund charges its investors an incentive fee of 20% of total returns. Suppose initially that a fund of funds (FF) manager buys equal amounts of each of these funds and also charges its investors a 20% incentive fee. For simplicity, assume also that management fees other than incentive fees are zero for all funds.

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b. Suppose that instead of buying shares in each of the three hedge funds, a stand-alone (SA) hedge fund purchases the same portfolio as the three underlying funds. The total value and composition of the SA fund is therefore identical to the one that would result from aggregating the three hedge funds. Consider an investor in the SA fund.

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