HELPING ADVISORS HELP THEIR CLIENTS AUGUST 2010 ANNUITY
HELPING ADVISORS HELP THEIR CLIENTS
AUGUST 2010
ANNUITY
A N A LY T I C S
BY LOWELL ARONOFF
Income AnnuitieLYs.
DemystifieIdNG ON
D
By the time an investor is ready to purchase a life annuity, he has
return? It depends -- if ends up living to an old
tahgeLe,atRnhnEeuAyitiaenldt
only 13 years or less he would receive a negative return. Statisticians tell us
generally had experience with would likely be seen in rAetrospect as that there is nearly an 80 percent prob-
many financial products. Whether the vehicle is stocks, bonds, mutual funds or saving accounts, investors tend to measure performance primarily by the yield or interest rate received on the
eptqohxteuhaccaneetlrlitolfhieytnaFnhvtfteOeot,rshrbstRemuoaatUfnePnhinfTniEitmstusIhRaisOpteghaSareoNneiOurat.einlwsdNddirbleirlefiadshcsikooeenndaysnootidouneesnusrnguietoesdyr-t,.
ability that a 65-year-old male will live more than 13 years.
An investor can guarantee that the income annuity will always provide a positive return by choosing an income
investment. An income annuity, which is also called a SPIA (single premium
wOhPeTYrheTitshRreeIsyBuieltldisfsreoemn itnhtehiengcoramphe
below annu-
annuity with a longer certain period. In this case a life annuity with a 15-year
immediate annuity) or a life annuity, has City IisSnegative for the first 13 years. In certain period guarantees a positive yield.
bmfioneteAnhdtnaebnlieeninmncesoefuinmtrtap.enecanensianosunwi.teTyllhiasPesylRaibknIoeNOitnahTTvepdEsFaetDy--ORoDthe8r.0w0%ords, if this annuitant lives for
Based on a calculator provided by
a monthly benefit for life. WNe don't
6.00%
know how long any specific individual
will live so there is no completely sat-
4.00%
isfactory way to calculate a yield for
life annuities, but there are a num-
2.00%
ber of solutions that help. The most
straightforward is a graph showing the yield an annuitant would receive if he
Yield
0.00%
65
70
75
80
85
90
95
100
105
lived one, two and more years. The adjacent graph shows the yield that
-2.00%
Terminal Age
a 65-year-old male who purchased a life annuity in June 2010 with 10-years
-4.00%
certain would earn using data provided by CANNEX.
Does this life annuity provide a good
-6.00%
Source: CANNEX
RESEARCH MAGAZINE AUGUST 2010
ANNUITY ANALYTICS
How the Yield from a Life Annuity compares to a Corporate Bond Fund
Product
Minimum Maximum
Duration
Yield
Yield
Life annuity, 22 years certain Morgan Stanley Long Duration Fixed Income (MSFIX) Life annuity, 30 years certain
11.2
3.6%
6.2%
11.0
4.8%
4.8%
12.8
4.5%
5.6%
Note: The "maximum yield" shown is the yield if the client lives to age 110. Source: CANNEX and Morningstar
the Society of Actuaries, a 65-year-old curve of life annuities with a 10-year should pu.rchase an income annuity
male has a life expectancy of about 22 certain period versus a certain period with aLloYng guarantee.
years. If the investor chooses a life equivalent to the annuitant's life expec- OGNraphing the result helps explain
annuity with a certain period that's tancy.Generally,a shorter certain period Gthe yield from an income annuity, but
as long as his life expectancy, then results in a lower guaranteed yield, buItN it does not leave us with a satisfying
he could get a rate with a yield that's guaranteed to be at least 3.6 percent.
a higher yield in the event nuitant lives to an old age.
that
tEheAaDn-
result. That is because we may want to quantify the income annuity's yield to
Financial analysts use a metric called
Should an investor buy aLliRfe annu- other investments which express yield
"duration" to find bonds with compa- ity with a long certain perAiod or a short as a single number.
rable cash flow. The duration of a life annuity with a 10-year-certain period is 10.4, while the duration of a life annuity with a 22-year-certain period is 11.2. As seen in the table above, cor-
olmmloivnoiaezexkse?iimtnhIogitFiszadfOaenonehrRopnilaesudUnnPayaldiTaEgeisnnlIeRdncO--, ohuSinNmieOtityfs.ehhNttoehohreueaovtldnienwnebvittulehltyshamttaaotawrlxihifiilee-sl
We can solve this by taking a single point on the graph representing the average individual's life expectancy, which for a 65-year-old male is about 22 years. If an investor purchased a life
porate bonds from companies with similar ratings and similar durations
aoOnthPneuYrithTyaRwndIitBhifathsheoinrtvgesutaorrainstleoeo. kOinngthtoe
annuity for a 65-year-old male with a 10-year certain period and the annui-
are available.
CensIuSre that the investment will receive tant lived exactly 22 years, the inves-
The graph below shows tIhNe TyiEeFlDdORaDhigh yield even if he dies young, he
8.00%
PR OT Life Expectancy
tor would earn a yield of 4.8 percent. Is this yield comparable to other
investment vehicles with a similar risk profile? Not really -- because very
N
few people die at their life expectancy.
6.00%
Everyone has a 50 percent chance of
dying before or after life expectancy.
4.00%
A central reason that people purchase
life annuities is because they don't
2.00%
know how long they are going to
Yield
0.00%
live. They need to insure they have
65
70
75
80
85
90
95
100 105 a source of income in the event that
-2.00%
Terminal Age
they live beyond life expectancy and
to an old age.
-4.00% -6.00%
Gtd 10
Gtd 22
If we want to compare the yield from a life annuity to other products, we can also analyze the problem in another
Source: CANNEX
way. There are two main reasons that investors purchase income annuities --
ANNUITY ANALYTICS
to receive more income than would be year) when he's 75 years old for only provides a benchmark that an investor
available from other assets with similar $73,590, which is 25 percent less. This can use to compare an income annuity
risk profiles and to guarantee a monthly is because he would have a shorter to other investments. If an investor that
paycheck -- no matter how long the remaining lifespan.
would like to receive guaranteed income
annuitant lives. Let's focus on the latter. Should he buy now or should he for life can receive a better yield every
Guaranteeing a paycheck for life wait? We can answer this question if year for 10 years from another invest-
involves pooling many annuitants, and we can determine the yield required ment with a similar risk profile (e.g., a
this can only be done by an insurance to generate the same income on the highly rated bond with multiple levels
company. If an investor would like the same schedule for 10 years and be left of guarantees) he may want to wait to
protection of a guaranteed paycheck with enough money to purchase an purchase the income annuity. However,
for the rest of his life, he has limited income annuity at age 75. We define if he cannot receive a better yield that
choices. He can purchase a life annu- this yield to be the Implied Longev- is guaranteed every year from an in-
ity now or he can wait and purchase ity Yield or ILYTM. Calculating the vestment with a similar risk profile, he
a life annuity when he's older. Based ILYTM can be approximated by the should con. sider purchasing an income
on CANNEX data, an investor that yield of a series of cash flows, but a annuitLyYnow. R
deposited $100,000 in an income annuity for a 65-year-old male with
more precise answer requires some advanced calculus.
N O GLowell Aronoff is CEO of CANNEX
a 10-year certain period could re-
The ILYTM on this life annuity for aIN Financial Exchanges Limited, an organiza-
ceive $7,449.44 per year. If rates do not change, he could purchase the same stream of income ($7,449.44/
65-year-old male with is 5.3 percent.
What does this tell
10-year cEeArtaDin us? TLhRe ILYTM
tion dedicated to facilitating the purchase and sale of financial products. He can be reached at lowell.aronoff@.
A
N
SO
FOR UPTEIRON.
COPIYSTRIB
INTEFDOR D
PR
T O
N
(#21664) Reprinted from the August 2010 issue of Research Magazine. ? 2010 Summit Business Media, LLC. For more information about reprints from Research, contact PARS International Corp. at 212-221-9595.
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With
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