2020 Publication 575: Pension and Annuity Income
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PENSION MATHEMATICS with Numerical Illustrations
PENSION MATHEMATICS with Numerical Illustrations Second Edition Howard E. Winklevoss, Ph.D., MAAA, EA President Winklevoss Consultants, Inc. Published by Pension Research Council Wharton School of the University of Pennsylvania and University of Pennsylvania Press Philadelphia © Copyright 1977 (first edition) and 1993 (second edition) by the Pension Research Council of the Wharton School of the University of Pennsyl vania All rights reserved Library of Congress Cataloging-in-Publication Data Winklevoss, Howard E. Pension mathematics with numerical illustrations / Howard E. Winklevoss. -2nd ed. p. em. Includes bibliographical references and index. ISBN 0-8122-3196-1 I. Pensions-Mathematics. 2. Pensions-Costs-Mathematics. 3. Pension trusts-Accounting. I. Title. HD7105.W55 1993 331.25'2-dc20 92-44652 CIP Printed in the United States ofAmerica Chapter 3 Basic Actuarial Functions The purpose of this chapter is to introduce several actuarial functions used in the development of pension mathematics throughout the remainder of the book. The discussion begins with the composite survival function and interest function, per haps the two most basic concepts in pension mathematics. Pen sion plan benefit functions are then presented, followed by a dis cussions of annuities, the latter representing a combination of interest and survival functions. COMPOSITE SURVIVAL FUNCTION The composite survival function represents the probability that an active plan participant survives in service for a given pe riod, based on all of the decrement rates to which the employee is exposed. Whereas the probability of surviving one year in a sin gle-decrement environment is equal to the complement of the rate of decrement, the probability of surviving one year in a mul tiple-decrement environment is equal to the product of such complements for each applicable rate of decrement. -
Annuity Life Assurance Policy
Annuity Life Assurance Policy Hulkier Parsifal always footnote his lavaboes if Kristos is zoophobous or sniggles anon. If vacillating or maniac lightsomeMyles usually is Rabbi? argufying Quint his remains D-day impersonalizing engrossing: she eightfold constrain or her seek caroler transgressively catholicised and too unidiomatically, discontentedly? how Xyz can use our top insights about life policy has lower premiums need to the compensation may take This information supports the promotion and marketing of this annuity. Tax or guaranteed regular payment starts to buy life assurance against financial, they stay or regulations involve annuity provides. In in to paying a portable benefit, any worth the Separate Accounts in connection with the Consolidation. We also routinely engage with limited financial assurance against a policy protects against market. Within is of the main types of life insurance are different types of policies. Are variable annuities covered by the guaranty association? Are annuities are the annuity plans are more productive workforce with financial assurance iq offers a means making savings. Why consider before it is policy information on this annuity policies to annuities? Diversification does not guarantee profit to protect against market loss. Turn use money into and immediate stream of income. Learn where they tolerate and options you define have. As term life policies sold to such issues of time of life. Annuity policies in life assurance corporation to help provide for policies with a linked website. How is a life insurance is life insurance policy here to be a series analyzing the various payout will have sole financial advisors. Mandates affecting consumers will be permitted under policies, life annuity based on an the same portfolio yields assume the consolidating account, announcing bonus or simply credited in. -
Know What You Are Getting When You Buy an Annuity an Annuity Is a Financial Product Sold by an Insurance Company
Financial Education Know What You Are Getting When You Buy an Annuity An annuity is a financial product sold by an insurance company. It involves a contract between you and the insurance company that outlines the terms and conditions of the annuity. Annuities are generally used to accumulate tax-deferred savings under which you make a lump-sum payment, or series of payments, to the insurance company. In return, the insurer agrees to make periodic payments to you beginning immediately or at a future date. This section will provide you with information on various annuity products and what you should know before buying an annuity. Things to Consider When Buying an Annuity Many insurance companies offer annuity products, and the annuity offerings between insurance companies can be quite different. The financial strength among insurance companies can be quite different, too. So an important ‘first cut’ in evaluating an annuity is the financial strength of the issuing company. Companies such as Standard & Poor’s and AM Best provide independent ratings on the financial strength of insurance companies. These ratings are available through the insurance company or through a financial services provider. Types of Annuities Annuities are typically purchased through a financial services provider who is licensed and registered to sell annuities and other insurance-related products. They are considered experts on the annuity products they recommend and sell to their customers. The following are types of annuity products: n Fixed-Rate Annuity The insurance company agrees to pay the contract holder no less than a specified rate of return for a pre-determined period. -
Eagle Platinum Series
(ICC13 E-SP-MYGA)* EagleSingle Platinum Premium Series Eagle Life Insurance Company® West Des Moines, IA 50266 www.eagle-lifeco.com (866) 526-0995 *Form number and availability may vary by state. The Power of a Tax Deferred Annuity Selecting a retirement vehicle from the vast array of FIXED INTEREST GUARANTEES choices could be the most important decision you make In addition to these annuity benefits, many people are about your future. looking for the stability of competitive interest rate guarantees. To meet our customer’s needs, Eagle Life offers Many people are turning to tax-deferred annuities as the an annuity with a multi-year guaranteed interest rate.* foundation of their overall financial plan. Why? Because interest credited is not taxed until withdrawn. Given an In addition to the multi-year guaranteed interest rate, this equal interest rate, your money grows faster in a tax- product also has a Minimum Guarantee Surrender Value deferred annuity versus a taxable account. that is never less than 90% of the single premium, less any Withdrawals, plus interest credited at the Minimum MORE ADVANTAGES Guaranteed Interest Rate. Besides the tax-deferred benefits, annuities offer many other advantages such as: LIQUIDITY If you need money for any reason, this annuity allows STABILITY you to make Penalty-free Withdrawals. Each contract year after 1st year, you may take one Penalty-free Withdrawal MAY AVOID PROBATE of any amount up to Interest Credited during that contract LIQUIDITY FEATURES year. We also allow systematic withdrawals of interest only or amounts sufficient to satisfy IRS required minimum GUARANTEED INCOME distribution rules. -
Your Guide to Fixed Annuities
Your Guide to Fixed Annuities A Smart Choice for Safety Conscious Individuals Seeking Financial Security RS-2329-TM Protect Your Future Whether you’re preparing for retirement or already enjoying retirement, a fixed annuity can be a smart way to safeguard your retirement income with guaranteed returns. Fixed annuities offer guaranteed tax-deferred growth, protection of principal and lifetime income. A fixed annuity may appeal to you if: • You wish to protect your retirement savings with a guarantee of principal and a guaranteed rate of return. • You need to rollover a lump-sum payment from a company-sponsored retirement or pension plan. • You want to contribute to an annuity because you’ve already contributed the maximum to your IRA or other qualified plans. For more than 100 years, Reliance Standard Life Insurance Company has been helping people achieve their financial objectives. We are proud of our long and distinguished heritage in serving the needs of generations of Americans. Working with your insurance professional and other trusted advisors, Reliance Standard Life Insurance Company can help you find the fixed annuity that’s right for your needs. RS-2329-TM Why choose What is an annuity? An annuity is a financial contract between you (the owner of the contract) and an a fixed annuity? insurance company that guarantees you regular payments over the lifetime of the Annuities are long term financial annuitant, typically in the form of a check or an automatic deposit made to your bank contracts designed to help secure account. Annuity income can be a welcome supplement to other forms of income in your financial future by providing retirement, such as Social Security payments, retirement plan distributions and earned you with a predictable, guaranteed income—helping you enjoy a more comfortable future. -
Annuity Options in Public Pension Plans: the Curious Case of Social Security Leveling Robert Clark Robert Hammond Melinda Morrill David Vandeweide
Annuity Options in Public Pension Plans: The Curious Case of Social Security Leveling Robert Clark Robert Hammond Melinda Morrill David Vandeweide 1 Key Questions 1. What is Social Security Leveling? 2. Is SS Leveling a mere curiosity or a widely used annuity option in public retirement plans? 3. Do many retirees choose SS Leveling? 4. How does SS Leveling affect lifetime income? 5. What policy changes would improve this annuity option? 2 What is Social Security Leveling? Public pension plans offer a series of payout options: Lump sum distribution Single life annuities Joint & Survivor annuities Public plans not subject to ERISA J&S annuities are not the default option in most states 3 What is Social Security Leveling? SS Leveling is a single life annuity that front loads payments from the pension Only individuals retiring prior to leveling age are eligible to select leveling Individuals selecting the SS Leveling option are choosing a single life annuity with no survivor benefits 4 Reasons for front loading benefits Desire for consumption smoothing High personal discount rate Possible effects of selecting SS leveling • Reduced likelihood of post-retirement work • Increase likelihood of claiming SS benefits at 62 5 What is Social Security Leveling? Retiring worker must present the pension system an estimate of the SS benefit they are expected to receive at age 62 based on no further work Retirement system determines a benefit (B1) to be paid from time of retirement until age 62 and a benefit that will be paid from age 62 until death (B2) -
Custom Annuity Allstate Life Insurance Company P.O
Custom Annuity Allstate Life Insurance Company P.O. Box 660191 Dallas, TX 75266-0191 Telephone Number: 1-800-632-3492 Fax Number: 1-877-525-2689 Prospectus dated May 1, 2020 Allstate Life Insurance Company (“Allstate Life”) has issued the Custom Annuity, a group and individual flexible premium deferred annuity contract (“Contract”). This prospectus contains information about the Contract. Please keep it for future reference. The Contract is no longer being offered for sale. If you have already purchased a Contract you may continue to add to it. Each additional payment must be at least $1,000. The Contracts were available through Morgan Stanley & Co. Inc., the principal underwriter for the Contracts. Morgan Stanley & Co. Inc., is not required to sell any specific number or dollar amount of securities but will use its best efforts to sell the securities offered. Discussion of Risk Factors begins on page 5 of this prospectus. The registrant’s obligations under the contract are subject to the financial strength and claims paying ability of the registrant. Investment in the Contracts involves serious investment risks, including possible loss of principal. This prospectus does not constitute an offering in any jurisdiction in which such offering may not lawfully be IMPORTANT made. We do not authorize anyone to provide any information or representations regarding the offering NOTICES described in this prospectus other than as contained in this prospectus. Neither the Securities and Exchange Commission ("SEC") nor any State securities commission has approved or disapproved of these securities or passed upon the adequacy or accuracy of this prospectus. Any representation to the contrary is a criminal offense. -
Optimal Mandates and the Welfare Cost of Asymmetric Information: Evidence from the U.K
Econometrica, Vol. 78, No. 3 (May, 2010), 1031–1092 OPTIMAL MANDATES AND THE WELFARE COST OF ASYMMETRIC INFORMATION: EVIDENCE FROM THE U.K. ANNUITY MARKET BY LIRAN EINAV,AMY FINKELSTEIN, AND PAUL SCHRIMPF1 Much of the extensive empirical literature on insurance markets has focused on whether adverse selection can be detected. Once detected, however, there has been little attempt to quantify its welfare cost or to assess whether and what potential gov- ernment interventions may reduce these costs. To do so, we develop a model of annuity contract choice and estimate it using data from the U.K. annuity market. The model allows for private information about mortality risk as well as heterogeneity in prefer- ences over different contract options. We focus on the choice of length of guarantee among individuals who are required to buy annuities. The results suggest that asym- metric information along the guarantee margin reduces welfare relative to a first-best symmetric information benchmark by about £127 million per year or about 2 percent of annuitized wealth. We also find that by requiring that individuals choose the longest guarantee period allowed, mandates could achieve the first-best allocation. However, we estimate that other mandated guarantee lengths would have detrimental effects on welfare. Since determining the optimal mandate is empirically difficult, our findings suggest that achieving welfare gains through mandatory social insurance may be harder in practice than simple theory may suggest. KEYWORDS: Annuities, contract choice, adverse selection, structural estimation. 1. INTRODUCTION EVER SINCE THE SEMINAL WORKS of Akerlof (1970) and Rothschild and Stiglitz (1976), a rich theoretical literature has emphasized the negative wel- fare consequences of adverse selection in insurance markets and the potential for welfare-improving government intervention. -
Your Guide to 403(B) Tax-Deferred Annuity Or Voluntary Savings Plans
Your guide to 403(b) tax-deferred annuity or voluntary savings plans How much can you contribute in 2021? Tax-deferred annuity plans are voluntary savings plans designed to help you build savings for your retirement. In this brochure, we’ll explain the contribution limits set by the Internal Revenue Code (IRC). Plus, we’ll show you how to calculate your maximum contribution amount so you can be sure to take full advantage of your opportunity to save. About TIAA TIAA’s purpose has remained constant for more than 100 years: To help you save for—and generate income during—retirement. For more information, visit us at TIAA.org or call us at 800-842-2252. What is a tax-deferred annuity plan? A tax-deferred annuity (TDA) plan is a type of retirement plan designed to complement your employer’s base retirement plan. Sometimes, a TDA plan is also referred to as a voluntary savings plan, a supplemental plan, a tax-sheltered annuity (TSA) or simply a 403(b) plan. A TDA plan is an employer-sponsored Defined Contribution retirement plan to which you can contribute a percentage of your base salary. Retirement plan contribution limits There are maximum limits to how much you can contribute to your retirement plans each year. These are governed by Sections 415 and 402(g) of the Internal Revenue Code (IRC). W For your employer’s 403(b) plan. The Defined Contribution limit applies to all pretax and after-tax (i.e., non-Roth and Roth) contributions; mandatory employee contributions; and all employer-matching and nonmatching contributions. -
Information for Annuitants (CSRS)
Information for Annuitants Civil Service Retirement System (CSRS) This pamphlet answers the questions most frequently asked by Civil Service Retirement System annuitants. Color profile: Generic CMYK printer profile Composite Default screen Table of Contents Page How to Contact OPM ..................................1 General Information ...................................2 Payments .....................................2 Address Changes .................................3 Survivor Elections At Retirement and Afterwards................3 Survivor Reductions Based on Court Orders ..................7 When Survivor Reductions Cease ........................7 How Annuity Affects Your Payments From Social Security ..........8 Civil Service Retirement System (CSRS) Offset Employees ..........8 Federal Income Tax and Your Annuity .....................9 State Income Tax and Your Annuity.......................9 Changing to Disability Retirement .......................10 Returning to Work in the Federal Government.................10 Waiver of Annuity ...............................12 Government Claims...............................12 Powers of Attorney ...............................13 Representative Payees .............................13 Designations of Beneficiary ..........................14 Actions Needed When You Die ........................14 Survivor Annuities ...............................15 When Survivor Annuities Begin and End ...................16 Reinstatement of Terminated Survivor Annuities ...............17 Lump-sum Death Benefits ...........................17 -
6. the Valuation of Life Annuities ______
6. The Valuation of Life Annuities ____________________________________________________________ Origins of Life Annuities The origins of life annuities can be traced to ancient times. Socially determined rules of inheritance usually meant a sizable portion of the family estate would be left to a predetermined individual, often the first born son. Bequests such as usufructs, maintenances and life incomes were common methods of providing security to family members and others not directly entitled to inheritances. 1 One element of the Falcidian law of ancient Rome, effective from 40 BC, was that the rightful heir(s) to an estate was entitled to not less than one quarter of the property left by a testator, the so-called “Falcidian fourth’ (Bernoulli 1709, ch. 5). This created a judicial quandary requiring any other legacies to be valued and, if the total legacy value exceeded three quarters of the value of the total estate, these bequests had to be reduced proportionately. The Falcidian fourth created a legitimate valuation problem for jurists because many types of bequests did not have observable market values. Because there was not a developed market for life annuities, this was the case for bequests of life incomes. Some method was required to convert bequests of life incomes to a form that could be valued. In Roman law, this problem was solved by the jurist Ulpian (Domitianus Ulpianus, ?- 228) who devised a table for the conversion of life annuities to annuities certain, a security for which there was a known method of valuation. Ulpian's Conversion Table is given by Greenwood (1940) and Hald (1990, p.117): Age of annuitant in years 0-19 20-24 25-29 30-34 35-39 40...49 50-54 55-59 60- Comparable Term to maturity of an annuity certain in years 30 28 25 22 20 19...10 9 7 5 The connection between age and the pricing of life annuities is a fundamental insight of Ulpian's table. -
What Makes a Better Annuity? Jason S
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by ScholarlyCommons@Penn University of Pennsylvania ScholarlyCommons Wharton Pension Research Council Working Wharton Pension Research Council Papers 5-1-2009 What Makes a Better Annuity? Jason S. Scott Financial Engines, Inc., [email protected] John G. Watson Financial Engines, Inc., [email protected] Wei-Yin Hu Financial Engines, Inc., [email protected] Follow this and additional works at: https://repository.upenn.edu/prc_papers Part of the Economics Commons Scott, Jason S.; Watson, John G.; and Hu, Wei-Yin, "What Makes a Better Annuity?" (2009). Wharton Pension Research Council Working Papers. 324. https://repository.upenn.edu/prc_papers/324 This paper is posted at ScholarlyCommons. https://repository.upenn.edu/prc_papers/324 For more information, please contact [email protected]. What Makes a Better Annuity? Abstract The wide gulf between actual and predicted annuity demand has been well documented. However, a comparable gap exists between the current and ideal annuity market. In a world with costly and limited annuity products, we investigate what types of new annuity products could improve annuity market participation and increase individual welfare. We find that participation gains are most likely for new annuity products that focus on late-life payouts which offer a large price discount relative to their financial market analogues. For example, the marginal utility from the first dollar allocated to a late-life annuity can be several times that of an immediate annuity. Our welfare analysis indicates that an individual’s current assets suggest desirable new annuity products since annuities that lower the cost of the existing consumption plan necessarily improve welfare.