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(12) United States Patent
Menzer et a].
US008725618B1
US 8,725,618 B1
May 13, 2014
(10) Patent N0.:
(45) Date of Patent:
(54)
(71)
(72)
(73)
(21)
(22)
(51)
(52)
(58)
SYSTEM AND METHOD FOR DE-RISKING A
PENSION FUND
Applicant: Manulife Asset Management (US)
LLC, Boston, MA (US)
Inventors: Eric Menzer, Malden, MA (US);
Konstantin Danilov, Jouy-en-Josas
(FR); Joseph O’Connor, Quincy, MA
(US); Paul Partridge, New Hamburg
(CA); Alasdair ReW, Toronto (CA);
Nadia Savva, Mississauga (CA); Steve
Orlich, Toronto (CA); Steve Medina,
Des Moines, IA (US); Bob Boyda,
Sherborn, MA (US); Irina Muhina,
Toronto (CA); Neal Toomey, Boston,
MA (US)
Assignee: Manulife Asset Management (US)
LLC, Boston, MA (US)
Notice: Subject to any disclaimer, the term ofthis
patent is extended or adjusted under 35
U.S.C. 154(b) by 0 days.
Appl. No.: 13/672,997
Filed: Nov. 9, 2012
Int. Cl.
G06Q 40/00 (2012.01)
US. Cl.
USPC ......................................... .. 705/36 R; 705/35
Field of Classi?cation Search
CPC ............................. .. G06Q 40/06; G06Q 40/00
USPC ................................................ .. 705/36 R, 35
See application ?le for complete search history.
(56) References Cited
U.S. PATENT DOCUMENTS
6,055,517 A 4/2000 Friend et al.
7,509,279 B2 3/2009 Chhabra et al.
7,895,102 B1 2/2011 Wilks et a1.
8,185,464 B1* 5/2012 Ameriks et al. .......... .. 705/36 R
2010/0010938 A1* 1/2010 Dundas et al. .. 705/36 T
2011/0161246 A1* 6/2011 Gottschalg . 705/36 R
2012/0109699 A1* 5/2012 Hat?eld .... .. .. 705/7.12
2012/0246094 A1* 9/2012 Hsu et al. .................. .. 705/36 R
OTHER PUBLICATIONS
Towers Watson, Assessing Funded StatusVolatility, Pension Finance
Watch: Special Analysis, 2011.
* cited by examiner
Primary Examiner * Jagdish Patel
(74) Attorney, Agent, or Firm * Dowell & Dowell, P.C.;
Ralph A. Dowell
(57) ABSTRACT
A system for de-risking a pension fund, the system including:
an input module for receiving asset class forecasts; a model
ing module for modeling a plurality ofportfolios based on the
asset class forecasts to provide a de-risking framework; an
asset mix module for receiving an asset mix for each of the
model portfolios based on the de-risking framework; a data
base for storing data related to the asset class forecasts, the
model portfolios, and asset mix; a processor con?gured to
monitor the model portfolios for performance within the de
risking framework by: calculating an indicator of funded
status volatility; comparing the indicator with a benchmark;
and reporting the result. In particular, the indicator offunded
status volatility is a liability tracking error and the benchmark
is the liability tracking error of a conventional or standard
pension portfolio.
18 Claims, 17 Drawing Sheets
702
Develop Asset Class Forecasts /
/700
Portfolio Modeling / 104
Back-testing / 705
Final Mix Desision J 708
Monitoring / 710
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Develop Asset Class Forecasts
/
/ 702
/700
Portfolio Modeling
Back-testing
Final Mix Decision
/ 708
Monitoring
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US. Patent May 13, 2014 Sheet 12 0f 17 US 8,725,618 B1
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Target De-Risking: Proposed Breakpoints
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1
SYSTEM AND METHOD FOR DE-RISKING A
PENSION FUND
FIELD
The present disclosure relates generally to derisking a pen
sion fund. More particularly, the present disclosure relates to
systems and methods for de-risking pension funds based on a
plurality of de-risking portfolios related to funded status.
BACKGROUND
Pension plan sponsors face challenges such as generating a
suf?cient return on assets to cover pension obligations, mini
miZing the frequency and the amount of contributions
required overthe life ofthe plan, andminimiZing the key risks
to a fund: equity risk and interest rate risk. Equities are subject
to equity market risk due to regular ?uctuations in stock
prices but tend to have greater potential for higher returns. On
the other hand ?xed income instruments tend to be somewhat
more stable but can be sensitive to interest rate risk due to
changes in interest rates over time. Plan liabilities in de?ned
bene?t plans are typically uncorrelated with movements in
equities but can be sensitive to interest rate movements due to
low interest rates magnifying the present value of future
liabilities.
Conventional methods of managing pension portfolios
generally involve either simple “rules ofthumb”, such as the
60/40 equities/?xed income rule, or very complex reviews
and analysis that can be time consuming and costly.
It is, therefore, desirable to provide an improved system
and method for managing and, in particular, de-risking pen
sion funds.
SUMMARY
It is an object of the present disclosure to obviate or miti
gate at least one disadvantage of conventional methods and
systems for managing pension portfolios.
According to an aspect herein, there is provided a method
for de-risking a pension fund, the method including: devel
oping asset class forecasts; modeling a plurality ofportfolios
based on the asset class forecasts to provide a de-risking
framework; determining asset mix for each of the model
portfolios based on the de-risking framework; and monitor
ing the model portfolios for performance within the de-risk
ing framework by: calculating an indicator of funded status
volatility; and comparing the indicator with a benchmark.
The use ofa plurality ofmodel portfolios allows a pension
fund manager to choose a portfolio based on their current
funded status while the use of an indicator and benchmark
related to funded status volatility provides a measure of the
ability of the portfolios to track liabilities rather than just
measuring or comparing returns.
In a particular case, the method may further include back
testing the model portfolios against historical data. Back
testing provides further veri?cation that the portfolio will
operate appropriately in tracking liabilities and reducing
volatility.
In order to reduce complexity, the plurality of portfolios
may include 10 or fewer portfolios, 6 or fewer portfolios.
Further, the plurality of portfolios may include at least one
portfolio for under-funded status and at least one portfolio for
over-funded status.
In another particular case, the indicator includes a liability
tracking error based on comparing the portfolio with a liabil
20
25
30
35
40
45
50
55
60
65
2
ity proxy. In this case, the benchmark may be the liability
tracking error of a standard pension portfolio.
In yet another case, the de-risking framework may include
providing portfolios for a plurality of funded status levels. In
this case, the plurality of funded status levels may include:
80%, 90%, 100% and 105% funded status. Further, there may
be additional portfolios at one or more ofthese levels that are
provided to allow for differential approaches within a level. It
may also be possible for a pension fund manager to put a
portion ofthe pension fund into multiple portfolios to obtain
a “blended” result.
According to another aspect herein, there is provided a
system for de-risking a pension fund, the system including: an
input module for receiving asset class forecasts; a modeling
module for modeling a plurality of portfolios based on the
asset class forecasts to provide a de-risking framework; an
asset mix module for receiving an asset mix for each of the
model portfolios based on the de-risking framework; a data
base for storing data related to the asset class forecasts, the
model portfolios, and asset mix; a processor con?gured to
monitor the model portfolios for performance within the de
risking framework by: calculating an indicator of funded
status volatility; comparing the indicator with a benchmark;
and reporting the result.
In a particular case, the system may further include a back
testing module for back-testing the model portfolios based on
historical data.
In order to reduce complexity, the plurality of portfolios
may include 10 or fewer portfolios, 6 or fewer portfolios.
Further, the plurality of portfolios may include at least one
portfolio for under-funded status and at least one portfolio for
over-funded status.
In another particular case, the indicator includes a liability
tracking error based on comparing the portfolio with a liabil
ity proxy. In this case, the benchmark may be the liability
tracking error of a standard pension portfolio.
In yet another case, the de-risking framework may include
providing portfolios for a plurality of funded status levels. In
this case, the plurality of funded status levels may include:
80%, 90%, 100% and 105% funded status.
Other aspects and features of the present disclosure will
become apparent to those ordinarily skilled in the art upon
review ofthe following description of speci?c embodiments
in conjunction with the accompanying ?gures.
BRIEF DESCRIPTION OF THE DRAWINGS
Embodiments of the present disclosure will now be
described, by way of example only, with reference to the
attached Figures.
FIG. 1 illustrates traditional funded status volatility;
FIG. 2 illustrates interest rate impact on plan liabilities;
FIGS. 3A and 3B illustrate a traditional return approach
and a liability driven approach, respectively;
FIG. 4 illustrates a role of hedging assets in the liability
driven approach;
FIG. 5 illustrates a role of retum-seeking assets in the
liability driven approach;
FIG. 6 is an embodiment of a system for managing and
de-risking pension funds;
FIG. 7 is an embodiment ofa method for de-risking invest
ment funds;
FIG. 8 is a chart illustrating funded status volatility vs.
absolute funded status level for various target de-risking port
folios;
FIG. 9 illustrates a suite of de-risking portfolios similar to
those of FIG. 8;
US 8,725,618 B1
3
FIG. 10 is FIG. 10 is a chart illustrating back-testing of
annualized funded status volatility for the 60/40 TSX/DEX
portfolio vs. the 90% funded portfolio;
FIG. 11 is a chart illustrating a further back-testing
example comparing the funded status 1102 overtime 1104 for
three funds which all start at 90% funded status;
FIG. 12 illustrates target de-risking proposed breakpoints
to be used in monitoring the de-risking portfolios;
FIG. 13 shows standard deviation for a breakpoint;
FIG. 14 is a graph showing target tracking errorto illustrate
a method for monitoring a de-risking portfolio;
FIG. 15 illustrates asset and liability returns, in accordance
with an embodiment;
FIG. 16 illustrates underlying fund returns, in accordance
with an embodiment; and
FIG. 17 illustrates historical funded status volatility, in
accordance with an embodiment.
DETAILED DESCRIPTION
Generally, the present disclosure provides methods and
systems for managing pension fund portfolios to de-risk the
fund. Prior to introducing the methods and systems, it is
useful to describe some of the background that lead to the
identi?cation of the problem with conventional systems and
the eventual development of the methods and systems
described herein.
FIG. 1 illustrates traditional funded status volatility.
Funded status volatility is caused by equity market volatility
100 and ?uctuations in interest rates 110. Equity market vola
tility 100 impacts plan asset growth. Lower interest rates 110
decrease plan asset growth and can also increase plan liabili
ties. The funded status 120 for a particular fund (e.g. a pension
fund) thus changes over time based on interest rates and
equity market volatility. The volatility in the funded status
130 may create a funding surplus some years and a funding
shortfall other years.
FIG. 2 illustrates interest rate impact on plan liabilities 200.
As a starting point, a fund (e.g. a pension fund) has liabilities
210 and assets 212 that are equal (i.e. fully funded) and
assuming that the assets 212 are composed of 100% of ?xed
income. In this scenario, the general interest rate will ?uctu
ate and if the interest rate is lower, there may be a funding
shortfall 206. FIG. 2 also illustrates how the duration ofassets
and liabilities will also impact the sensitivity to changes in
interest rates. If the duration of assets 210 and liabilities 212
is mismatched 202, a decreasing interest rate will result in a
funding shortfall 206. Ifthe duration ofassets 210 and liabili
ties 212 is matched 204, a decreasing interest rate will gen
erally not result in a funding shortfall.
FIG. 3A illustrates a traditional total return approach 300 to
managing a a pension fund. Traditional total return approach
300 is focused on maximizing total return with little regard
for plan liabilities. The traditional total return approach 300,
may comprise, for example, a set asset allocation 310 of 60%
equity 302 and 40% ?xed income 304. The traditional total
return approach 300 has a funded status 320 that can ?uctuate
from year to year. In one year, (e.g. 2007) there may be more
assets 322 than liabilities 324, in the next year (e.g. 2008)
there may be about the same level ofliabilities 326 but a lower
value of assets 328. Thus, the funded status 320 ?uctuates
over time.
FIG. 3B illustrates a conventional liability driven approach
350. The liability driven approach 350 uses a mix ofhedging
assets and return seeking assets to attempt to receive maxi
mum returns while minimizing funded status volatility, that
is, while protecting against downside risk. In this example,
20
25
30
35
40
45
50
55
60
65
4
the fund includes return-seeking assets 358, such as, domestic
and international equities, which are intended to maximize
return, and hedging assets 360, such as long duration bonds,
which provide interest rate hedging. The asset allocation 362
ofthe liability driven approach may be 60% equity and 40%
long duration ?xed income.
FIG. 4 illustrates a role of hedging assets in the liability
driven approach. Chart 400 compares funded status volatility
for the total return approach 300 of FIG. 3A 402 and the
liability driven approach 350 of FIG. 3B 404. The circled
areas on the chart show a traditional 60/40 portfolio and a
60/40 equity/long duration portfolio. The funded status vola
tility 406 (standard deviation) falls as the portfolio allocation
408 moves to higher levels of ?xed income because ?xed
income assets move more in step with liabilities due to their
sensitivities to interest rates. Further, since liabilities in pen
sion funds tend to be longer term, there is a potential reduc
tion 410 in funded status volatility from the addition oflonger
duration ?xed income assets.
FIG. 5 illustrates a role of retum-seeking assets in the
liability driven approach. Charts 500, 510 illustrate asset and
liability growth. Charts 500, 510 assume that no further con
tributions are made over the duration of the plan. Chart 500
illustrates a portfolio of 100% long duration ?xed income
with initial liabilities 502 of $100 million and assets 504 of
$80 million. At 19 years, the portfolio 500 will likely have a
funding shortfall 506 because the durations of liabilities 502
and assets 504 and their sensitivities to interest rates cannot
generally be matched exactly and also due to the lack of
equity exposure. Chart 510 illustrates a portfolio of 60/40
equity/long term duration ?xed income with initial liabilities
512 of $100 million and assets 514 of $80 million. At 19
years, the portfolio 510 will likely have a funding surplus 516
because ofthe anticipatedbetterreturns ofthe equity markets.
Retum-seeking assets are intended to increase the probability
of hitting the funding target and lowering future contribu
tions, but at the cost of increased funded status volatility (as
seen in FIG. 4).
The issue that hasn’t been identi?ed in each of the total
return and liability driven approaches, as well as in complex,
detail plans for de-risking funds, is thatthe primary goal ofthe
pension fund should be to match assets to liabilities in such a
way that funded status volatility is controlled based on the
actual funded status. The following description outlines
improved methods and systems for managing and de-risking
pension funds.
FIG. 6 illustrates an embodiment of a system 600 for man
aging and de-risking pension funds. System 600 includes a
computing device/computer 601 and a system manager 602.
Computer 601 is operable to receive instructions from at least
one system manager 602. System manager 602 may be, for
example, a portfolio fund manager. It will be understood that
computer 601 may be a single computer or may be a network
of computers, either local or distributed.
Computer 601 is connected to a network 604, such as, for
example, the Internet, and via the network 604 connected to
one or more client users 610 and databases 612. Network 604
allows client users 610 to interact/send/receive data with
computer 601. Database 612 may store, for example, ?nan
cial data relating to pension fund assets and liabilities. As
shown in FIG. 6, database 612 may also be directly accessible
by computer 601. Databases 612 may include proprietary
databases of ?nancial data, amortization databases, and the
like.
Computer 601 includes a processor 606, an internal data
base 608, a modeling module 620, a volatility module 622, a
regulatory contribution module 624, a back-test module 626,
LDI_Patent
LDI_Patent
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LDI_Patent

  • 1. (12) United States Patent Menzer et a]. US008725618B1 US 8,725,618 B1 May 13, 2014 (10) Patent N0.: (45) Date of Patent: (54) (71) (72) (73) (21) (22) (51) (52) (58) SYSTEM AND METHOD FOR DE-RISKING A PENSION FUND Applicant: Manulife Asset Management (US) LLC, Boston, MA (US) Inventors: Eric Menzer, Malden, MA (US); Konstantin Danilov, Jouy-en-Josas (FR); Joseph O’Connor, Quincy, MA (US); Paul Partridge, New Hamburg (CA); Alasdair ReW, Toronto (CA); Nadia Savva, Mississauga (CA); Steve Orlich, Toronto (CA); Steve Medina, Des Moines, IA (US); Bob Boyda, Sherborn, MA (US); Irina Muhina, Toronto (CA); Neal Toomey, Boston, MA (US) Assignee: Manulife Asset Management (US) LLC, Boston, MA (US) Notice: Subject to any disclaimer, the term ofthis patent is extended or adjusted under 35 U.S.C. 154(b) by 0 days. Appl. No.: 13/672,997 Filed: Nov. 9, 2012 Int. Cl. G06Q 40/00 (2012.01) US. Cl. USPC ......................................... .. 705/36 R; 705/35 Field of Classi?cation Search CPC ............................. .. G06Q 40/06; G06Q 40/00 USPC ................................................ .. 705/36 R, 35 See application ?le for complete search history. (56) References Cited U.S. PATENT DOCUMENTS 6,055,517 A 4/2000 Friend et al. 7,509,279 B2 3/2009 Chhabra et al. 7,895,102 B1 2/2011 Wilks et a1. 8,185,464 B1* 5/2012 Ameriks et al. .......... .. 705/36 R 2010/0010938 A1* 1/2010 Dundas et al. .. 705/36 T 2011/0161246 A1* 6/2011 Gottschalg . 705/36 R 2012/0109699 A1* 5/2012 Hat?eld .... .. .. 705/7.12 2012/0246094 A1* 9/2012 Hsu et al. .................. .. 705/36 R OTHER PUBLICATIONS Towers Watson, Assessing Funded StatusVolatility, Pension Finance Watch: Special Analysis, 2011. * cited by examiner Primary Examiner * Jagdish Patel (74) Attorney, Agent, or Firm * Dowell & Dowell, P.C.; Ralph A. Dowell (57) ABSTRACT A system for de-risking a pension fund, the system including: an input module for receiving asset class forecasts; a model ing module for modeling a plurality ofportfolios based on the asset class forecasts to provide a de-risking framework; an asset mix module for receiving an asset mix for each of the model portfolios based on the de-risking framework; a data base for storing data related to the asset class forecasts, the model portfolios, and asset mix; a processor con?gured to monitor the model portfolios for performance within the de risking framework by: calculating an indicator of funded status volatility; comparing the indicator with a benchmark; and reporting the result. In particular, the indicator offunded status volatility is a liability tracking error and the benchmark is the liability tracking error of a conventional or standard pension portfolio. 18 Claims, 17 Drawing Sheets 702 Develop Asset Class Forecasts / /700 Portfolio Modeling / 104 Back-testing / 705 Final Mix Desision J 708 Monitoring / 710
  • 2. US 8,725,618 B1Sheet 1 0f 17May 13, 2014US. Patent c:1 “nme2%wwwwwmmwgum Wm jag “wkWW2gagQ3”g»mg“warmwmmw mmw0%..9% b_ tWNW mmmw 1 Dow .3 _wW, Iw Q‘ QAVESw mr
  • 3. US 8,725,618 B1Sheet 2 0f 17May 13, 2014US. Patent #3m5 :E?agw1~xxxxaaam?mm? 325£13.23:5qu.iéwvcom?mmvwn?mmwmom:2“:1?35pm.”£43“5.52%3:35me@QN ¢ONNON CON
  • 4. US 8,725,618 B1Sheet 3 0f 17May 13, 2014US. Patent mm.OE mm 8”"08N /an/r /CR2:ER2:8R8:5no:.11A gm 2:398$388Bow1 $0.0885UCDdOM w.mecoz?ao96..E8EQQE@3305m1 mucom5:859.64zaiiiéigészi..won$32@525:$23295,,,,,,a.»mh, ,u38:R:22R2:,mot.me:moi.no:,.W. 2:59g1:5E.coma:w EEQSWQQB:ww?avm..33.55-336mHig?‘3JHMHMHHcomo? 252$o.=meoQ2%?U55m:i “00%?oww<on? .=._- H.mmExwwm¥53mm953%003:3" wmm£2853525-25%: wwm/mNm/NNmeNMJ:8888888BQNvow./Om $0.“. 3.oEooE $vwxE cmWO:S o?$8 w-mwm<U559m:ISEEM om? wamewow-5"-comwmu0=<wwww< omm com| £0856253mm50...3:059“;
  • 5. US. Patent May 13, 2014 Sheet 4 0f 17 US 8,725,618 B1 408“2*Q E g a a ,g Q g I g Q g Ll. g at o Q P. c: q» 3'3 m E 2 $1 %a a“ >(19 g . mg a: r: w M a O as .J Q 2: “- a .9. a, :2: :s a: n 3 m ,g o it , 3 Q o 3 :s v 1;. £3 t; w“ w; a» in m W W w (magma!) mamas} Kazawswx mms ww?s w c
  • 6. US. Patent May 13, 2014 Sheet 5 0f 17 US 8,725,618 B1 M1315??12 9 Yeam 510 C; $2 6.3 FIG.5 500 Years, woazzw $
  • 7. US 8,725,618 B1Sheet 6 0f 17May 13, 2014US. Patent Ema 08 w.OE mmwwwwN ff 22022$1622cozsnEcoO Eggnvmm22538”.wow wowwow2262 59:0 f.wmmnmpwcLommmoohmhmmmc?zEmpw>w(@5825%.;@582@5682. / .6“anon(oww 26
  • 8. US. Patent May 13, 2014 Sheet 7 or 17 US 8,725,618 B1 Develop Asset Class Forecasts / / 702 /700 Portfolio Modeling Back-testing Final Mix Decision / 708 Monitoring Jno FIG. 7
  • 9. US 8,725,618 B1Sheet 8 0f 17May 13, 2014US. Patent wow mWEonWumxmm, £35I Emmi O ‘ 00
  • 10. US 8,725,618 B1Sheet 9 0f 17May 13, 2014US. Patent an c2530ucom Nvmmommom
  • 11. US 8,725,618 B1Sheet 10 0f 17May 13, 2014US. Patent 2.6E #00 Eagwxwwwzg??ammammaka$2336)“swagvawzuwvw?iaacé [88 moor
  • 12. US. Patent May 13, 2014 Sheet 11 0117 US 8,725,618 B1 1108 11101106 FIG.11 1100 / 1102ParisianPianwith96%FundedStatusanFebmary1,1986
  • 13. US. Patent May 13, 2014 Sheet 12 0f 17 US 8,725,618 B1 1200 X 1210 Target De-Risking: Proposed Breakpoints 100% 80% _ ,7 ‘ 1204 60% ' ' ,, 1206 PercentageofTarget(BMvs.Liability)TrackingError HS. 12
  • 14. US. Patent May 13, 2014 Sheet 13 0f 17 US 8,725,618 B1 _F 40414061408 FIG.13 _r 4061 I 14081 03/ 02 01“
  • 15. US. Patent May 13, 2014 Sheet 14 0117 US 8,725,618 B1 Target Qa-Riskiag: Pramsad Braakpnims am , é$§§§§ WM?géséé égggéiééé FIG. 14
  • 16. US 8,725,618 B1Sheet 15 0f 17May 13, 2014US. Patent am“ com?
  • 17. US 8,725,618 B1Sheet 16 0f 17B4ay13,2014US. Patent Qua? wow? anAGwa PfSwimcow?
  • 18. US 8,725,618 B1Sheet 17 0f 17May 13, 2014US. Patent :.OE $3 55“amm gmm Kcot
  • 19. US 8,725,618 B1 1 SYSTEM AND METHOD FOR DE-RISKING A PENSION FUND FIELD The present disclosure relates generally to derisking a pen sion fund. More particularly, the present disclosure relates to systems and methods for de-risking pension funds based on a plurality of de-risking portfolios related to funded status. BACKGROUND Pension plan sponsors face challenges such as generating a suf?cient return on assets to cover pension obligations, mini miZing the frequency and the amount of contributions required overthe life ofthe plan, andminimiZing the key risks to a fund: equity risk and interest rate risk. Equities are subject to equity market risk due to regular ?uctuations in stock prices but tend to have greater potential for higher returns. On the other hand ?xed income instruments tend to be somewhat more stable but can be sensitive to interest rate risk due to changes in interest rates over time. Plan liabilities in de?ned bene?t plans are typically uncorrelated with movements in equities but can be sensitive to interest rate movements due to low interest rates magnifying the present value of future liabilities. Conventional methods of managing pension portfolios generally involve either simple “rules ofthumb”, such as the 60/40 equities/?xed income rule, or very complex reviews and analysis that can be time consuming and costly. It is, therefore, desirable to provide an improved system and method for managing and, in particular, de-risking pen sion funds. SUMMARY It is an object of the present disclosure to obviate or miti gate at least one disadvantage of conventional methods and systems for managing pension portfolios. According to an aspect herein, there is provided a method for de-risking a pension fund, the method including: devel oping asset class forecasts; modeling a plurality ofportfolios based on the asset class forecasts to provide a de-risking framework; determining asset mix for each of the model portfolios based on the de-risking framework; and monitor ing the model portfolios for performance within the de-risk ing framework by: calculating an indicator of funded status volatility; and comparing the indicator with a benchmark. The use ofa plurality ofmodel portfolios allows a pension fund manager to choose a portfolio based on their current funded status while the use of an indicator and benchmark related to funded status volatility provides a measure of the ability of the portfolios to track liabilities rather than just measuring or comparing returns. In a particular case, the method may further include back testing the model portfolios against historical data. Back testing provides further veri?cation that the portfolio will operate appropriately in tracking liabilities and reducing volatility. In order to reduce complexity, the plurality of portfolios may include 10 or fewer portfolios, 6 or fewer portfolios. Further, the plurality of portfolios may include at least one portfolio for under-funded status and at least one portfolio for over-funded status. In another particular case, the indicator includes a liability tracking error based on comparing the portfolio with a liabil 20 25 30 35 40 45 50 55 60 65 2 ity proxy. In this case, the benchmark may be the liability tracking error of a standard pension portfolio. In yet another case, the de-risking framework may include providing portfolios for a plurality of funded status levels. In this case, the plurality of funded status levels may include: 80%, 90%, 100% and 105% funded status. Further, there may be additional portfolios at one or more ofthese levels that are provided to allow for differential approaches within a level. It may also be possible for a pension fund manager to put a portion ofthe pension fund into multiple portfolios to obtain a “blended” result. According to another aspect herein, there is provided a system for de-risking a pension fund, the system including: an input module for receiving asset class forecasts; a modeling module for modeling a plurality of portfolios based on the asset class forecasts to provide a de-risking framework; an asset mix module for receiving an asset mix for each of the model portfolios based on the de-risking framework; a data base for storing data related to the asset class forecasts, the model portfolios, and asset mix; a processor con?gured to monitor the model portfolios for performance within the de risking framework by: calculating an indicator of funded status volatility; comparing the indicator with a benchmark; and reporting the result. In a particular case, the system may further include a back testing module for back-testing the model portfolios based on historical data. In order to reduce complexity, the plurality of portfolios may include 10 or fewer portfolios, 6 or fewer portfolios. Further, the plurality of portfolios may include at least one portfolio for under-funded status and at least one portfolio for over-funded status. In another particular case, the indicator includes a liability tracking error based on comparing the portfolio with a liabil ity proxy. In this case, the benchmark may be the liability tracking error of a standard pension portfolio. In yet another case, the de-risking framework may include providing portfolios for a plurality of funded status levels. In this case, the plurality of funded status levels may include: 80%, 90%, 100% and 105% funded status. Other aspects and features of the present disclosure will become apparent to those ordinarily skilled in the art upon review ofthe following description of speci?c embodiments in conjunction with the accompanying ?gures. BRIEF DESCRIPTION OF THE DRAWINGS Embodiments of the present disclosure will now be described, by way of example only, with reference to the attached Figures. FIG. 1 illustrates traditional funded status volatility; FIG. 2 illustrates interest rate impact on plan liabilities; FIGS. 3A and 3B illustrate a traditional return approach and a liability driven approach, respectively; FIG. 4 illustrates a role of hedging assets in the liability driven approach; FIG. 5 illustrates a role of retum-seeking assets in the liability driven approach; FIG. 6 is an embodiment of a system for managing and de-risking pension funds; FIG. 7 is an embodiment ofa method for de-risking invest ment funds; FIG. 8 is a chart illustrating funded status volatility vs. absolute funded status level for various target de-risking port folios; FIG. 9 illustrates a suite of de-risking portfolios similar to those of FIG. 8;
  • 20. US 8,725,618 B1 3 FIG. 10 is FIG. 10 is a chart illustrating back-testing of annualized funded status volatility for the 60/40 TSX/DEX portfolio vs. the 90% funded portfolio; FIG. 11 is a chart illustrating a further back-testing example comparing the funded status 1102 overtime 1104 for three funds which all start at 90% funded status; FIG. 12 illustrates target de-risking proposed breakpoints to be used in monitoring the de-risking portfolios; FIG. 13 shows standard deviation for a breakpoint; FIG. 14 is a graph showing target tracking errorto illustrate a method for monitoring a de-risking portfolio; FIG. 15 illustrates asset and liability returns, in accordance with an embodiment; FIG. 16 illustrates underlying fund returns, in accordance with an embodiment; and FIG. 17 illustrates historical funded status volatility, in accordance with an embodiment. DETAILED DESCRIPTION Generally, the present disclosure provides methods and systems for managing pension fund portfolios to de-risk the fund. Prior to introducing the methods and systems, it is useful to describe some of the background that lead to the identi?cation of the problem with conventional systems and the eventual development of the methods and systems described herein. FIG. 1 illustrates traditional funded status volatility. Funded status volatility is caused by equity market volatility 100 and ?uctuations in interest rates 110. Equity market vola tility 100 impacts plan asset growth. Lower interest rates 110 decrease plan asset growth and can also increase plan liabili ties. The funded status 120 for a particular fund (e.g. a pension fund) thus changes over time based on interest rates and equity market volatility. The volatility in the funded status 130 may create a funding surplus some years and a funding shortfall other years. FIG. 2 illustrates interest rate impact on plan liabilities 200. As a starting point, a fund (e.g. a pension fund) has liabilities 210 and assets 212 that are equal (i.e. fully funded) and assuming that the assets 212 are composed of 100% of ?xed income. In this scenario, the general interest rate will ?uctu ate and if the interest rate is lower, there may be a funding shortfall 206. FIG. 2 also illustrates how the duration ofassets and liabilities will also impact the sensitivity to changes in interest rates. If the duration of assets 210 and liabilities 212 is mismatched 202, a decreasing interest rate will result in a funding shortfall 206. Ifthe duration ofassets 210 and liabili ties 212 is matched 204, a decreasing interest rate will gen erally not result in a funding shortfall. FIG. 3A illustrates a traditional total return approach 300 to managing a a pension fund. Traditional total return approach 300 is focused on maximizing total return with little regard for plan liabilities. The traditional total return approach 300, may comprise, for example, a set asset allocation 310 of 60% equity 302 and 40% ?xed income 304. The traditional total return approach 300 has a funded status 320 that can ?uctuate from year to year. In one year, (e.g. 2007) there may be more assets 322 than liabilities 324, in the next year (e.g. 2008) there may be about the same level ofliabilities 326 but a lower value of assets 328. Thus, the funded status 320 ?uctuates over time. FIG. 3B illustrates a conventional liability driven approach 350. The liability driven approach 350 uses a mix ofhedging assets and return seeking assets to attempt to receive maxi mum returns while minimizing funded status volatility, that is, while protecting against downside risk. In this example, 20 25 30 35 40 45 50 55 60 65 4 the fund includes return-seeking assets 358, such as, domestic and international equities, which are intended to maximize return, and hedging assets 360, such as long duration bonds, which provide interest rate hedging. The asset allocation 362 ofthe liability driven approach may be 60% equity and 40% long duration ?xed income. FIG. 4 illustrates a role of hedging assets in the liability driven approach. Chart 400 compares funded status volatility for the total return approach 300 of FIG. 3A 402 and the liability driven approach 350 of FIG. 3B 404. The circled areas on the chart show a traditional 60/40 portfolio and a 60/40 equity/long duration portfolio. The funded status vola tility 406 (standard deviation) falls as the portfolio allocation 408 moves to higher levels of ?xed income because ?xed income assets move more in step with liabilities due to their sensitivities to interest rates. Further, since liabilities in pen sion funds tend to be longer term, there is a potential reduc tion 410 in funded status volatility from the addition oflonger duration ?xed income assets. FIG. 5 illustrates a role of retum-seeking assets in the liability driven approach. Charts 500, 510 illustrate asset and liability growth. Charts 500, 510 assume that no further con tributions are made over the duration of the plan. Chart 500 illustrates a portfolio of 100% long duration ?xed income with initial liabilities 502 of $100 million and assets 504 of $80 million. At 19 years, the portfolio 500 will likely have a funding shortfall 506 because the durations of liabilities 502 and assets 504 and their sensitivities to interest rates cannot generally be matched exactly and also due to the lack of equity exposure. Chart 510 illustrates a portfolio of 60/40 equity/long term duration ?xed income with initial liabilities 512 of $100 million and assets 514 of $80 million. At 19 years, the portfolio 510 will likely have a funding surplus 516 because ofthe anticipatedbetterreturns ofthe equity markets. Retum-seeking assets are intended to increase the probability of hitting the funding target and lowering future contribu tions, but at the cost of increased funded status volatility (as seen in FIG. 4). The issue that hasn’t been identi?ed in each of the total return and liability driven approaches, as well as in complex, detail plans for de-risking funds, is thatthe primary goal ofthe pension fund should be to match assets to liabilities in such a way that funded status volatility is controlled based on the actual funded status. The following description outlines improved methods and systems for managing and de-risking pension funds. FIG. 6 illustrates an embodiment of a system 600 for man aging and de-risking pension funds. System 600 includes a computing device/computer 601 and a system manager 602. Computer 601 is operable to receive instructions from at least one system manager 602. System manager 602 may be, for example, a portfolio fund manager. It will be understood that computer 601 may be a single computer or may be a network of computers, either local or distributed. Computer 601 is connected to a network 604, such as, for example, the Internet, and via the network 604 connected to one or more client users 610 and databases 612. Network 604 allows client users 610 to interact/send/receive data with computer 601. Database 612 may store, for example, ?nan cial data relating to pension fund assets and liabilities. As shown in FIG. 6, database 612 may also be directly accessible by computer 601. Databases 612 may include proprietary databases of ?nancial data, amortization databases, and the like. Computer 601 includes a processor 606, an internal data base 608, a modeling module 620, a volatility module 622, a regulatory contribution module 624, a back-test module 626,