K2 TRADING VENTURES, LLC v. U.S., Cite as 108 AFTR 2d
2011-XXXX, 11/30/2011
K2 TRADING VENTURES, LLC, NEW VISTA, LLC, TAX MATTERS
PARTNER, Plaintiff, v. UNITED STATES, Defendant.
Case Information:
Code Sec(s):
Court Name: In
the United States Court of Federal Claims,
Docket No.: No.
04-1419T; No. 05-1067T,
Date Decided:
11/30/2011.
Disposition:
HEADNOTE
.
Reference(s):
OPINION
In the United States Court of Federal Claims,
OPINION AND ORDER
Discussion
Jurisdiction
This Court has “jurisdiction to hear and to render judgment
upon any petition under section 6226
... of the Internal Revenue Code.” 28 U.S.C. § 1508; see Marriott Int'l Resorts,
L.P. v. United States, 586 F.3d 962,
968 [104 AFTR 2d 2009-7171] (Fed. Cir. 2009).
Section 6226(f) grants this Court:
jurisdiction to determine all partnership items of the
partnership for the partnership taxable year to which the notice of final
partnership administrative adjustment relates, the proper allocation of such
items among the partners, and the applicability of any penalty, addition to
tax, or additional amount which relates to an adjustment to a partnership item.
4
Plaintiff brings this partnership tax refund action seeking
judicial review of the FPAAs that adjusted K2's partnership items relating to
the spread transaction. The Court's jurisdiction over partnership items is
detailed in the Tax Equity and Fiscal Responsibility Act of 1982 (“TEFRA”) 26
U.S.C. §§ 6221 et seq. TEFRA provides a method of uniformly adjusting items of
partnership income, loss, deduction, or credit that affect each partner. While
partnerships themselves do not pay federal income taxes, TEFRA requires a partnership
to file an annual information return that reports its partners' distributive
shares of income, gains, deductions, and credits. Partners are individually
responsible for reporting their pro rata share of tax on their personal income
tax returns.
Because the matters addressed in the K2 FPAAs are
partnership items and must be determined at the partnership level, this Court
has jurisdiction to determine the tax treatment of those items. Crnkovich v.
United States, 202 F.3d 1325, 1329 [85
AFTR 2d 2000-772] (Fed. Cir. 2000) (per curiam). This Court makes a de novo
determination regarding partnership items of K2 that were adjusted by the FPAA.
The Code
Here, as in Jade Trading, Plaintiff claims that the
partners' bases in their partnership interests increased by the value of the
purchased option but did not decrease by the value of the sold option assumed
by the partnership. Section 722
addresses partnership basis, stating:
The basis of an interest in a partnership acquired by a
contribution of property, including money, to the partnership shall be the
amount of such money and the adjusted basis of such property to the
contributing partner at the time of the contribution ....
At issue here is whether Puramsetti was required to reduce
its basis in its partnership interest by the sold option assumed by K2, or
whether this type of “liability” was too uncertain to fit within the parameters
of a “liability” within the meaning of
section 752. The statute itself does not define liability. Section 752(b) states:
Any decrease in a partner's share of the liabilities of a
partnership, or any decrease in a partner's individual liabilities by reason of
the assumption by the partnership of such individual liabilities, shall be
considered as a distribution of money to the partner by the partnership.
In claiming tax benefits, Plaintiff treats the sold options
assumed by K2 as contingent obligations, not liabilities, for purposes of
lowering the basis in Puramsetti's partnership interests under section 752(b). As noted in Jade Trading,
earlier interpretations of the Code suggested that the sold call option
contributed to the partnership would not be considered a liability for purposes
of section 752, and that the inflated
basis resulting from the contribution of the spread transaction to the
partnership complied with section 752.
Nonetheless, under Coltec, such compliance with the Code is insufficient in and
of itself for Puramsetti to reap the tax benefits claimed here. 454 F.3d at
1354. Rather, the transaction must also meet the objective economic substance
test.
The Economic Substance Doctrine
In Coltec, the Federal Circuit affirmed the continued
vitality of the economic substance doctrine, disregarding a transaction that
literally complied with the Code but that lacked economic substance. As the
Federal Circuit explained, “[f]rom its inception, the economic substance
doctrine has been used to prevent taxpayers from subverting the legislative
purpose of the tax code by engaging in transactions that are fictitious or lack
economic reality simply to reap a tax benefit.” Coltec, 454 F.3d at 1353–54.
“Under this doctrine, [the Court] disregard[s] the tax consequences of
transactions that comply with the literal terms of the tax code, but
nonetheless lack “economic reality.” Such transactions include those that have
no business purpose beyond reducing or avoiding taxes, regardless of whether
the taxpayer's subjective motivation was tax avoidance.” Stobie Creek, 608 F.3d
at 1375 (citations omitted). The Court also disregards “transactions shaped
solely by tax-avoidance features.” Id.
In Coltec, the Federal Circuit articulated five key
principles incorporated in the economic substance doctrine:
((1)) the transaction to be analyzed is the one that gave
rise to the alleged tax benefit;
((2)) the transaction cannot lack economic reality (i.e., a
bona fide business purpose or function besides mere tax avoidance);
((3)) the taxpayer bears the burden of proving that the
transaction has economic substance by a preponderance of the evidence;
((4)) the economic substance of a transaction must be viewed
objectively rather than subjectively; and
((5)) arrangements with subsidiaries that do not affect the
economic interests of independent third parties deserve particularly close
scrutiny.
Coltec, 454 F.3d at 1355–57; see also Jade Trading II, 598
F.3d at 1376.
Here, the transactions to be analyzed are the K2
Participants' spread transactions and contribution to K2, as this combination
of events led to the inflated basis disallowed by the FPAAs. See JX 178; Jade
Trading II, 598 F.3d at 1377–78; Coltec, 454 F.3d at 1356.
With respect to Coltec's fourth principle -- that the
economic substance of a transaction must be viewed objectively rather than
subjectively -- the inquiry is not whether the Participants believed the spread
contribution was a real investment, but whether the transaction was a real
investment. Jade Trading II, 598 F.3d at 1377–78. Whether a transaction has
objective economic substance must be evaluated based upon the information
available to a prudent investor at the time of the transaction. Stobie Creek,
608 F.3d at 1375 (citing Coltec, 454 F.3d at 1356).
The Spread Transactions Were Devoid of Economic Substance
Plaintiff has not met its burden of proving that the spread
transactions contributed to K2 had economic substance by a preponderance of the
evidence. Even assuming that the transactions had a potential for profit, this
potential does not outweigh the other evidence of record demonstrating that the
tax effects of the transaction were entirely fictional, and the K2 partnership
was formed not as a legitimate investment vehicle, but as a mechanism for
generating inflated basis.
The Transaction Led to Purely Fictional Tax Losses
In Jade Trading II and Stobie Creek, the Federal Circuit
held that spread transactions like those contributed to K2 lacked economic
reality. In both cases, the Federal Circuit emphasized that the claimed tax
effects in each case were fictional. In Jade Trading II, the members in the
relevant partnership contributed both purchased and sold call options with
premia of $15 million each, paid a small net premium for this spread, and
subsequently claimed losses equal to the premium of the purchased call option.
But as the Federal Circuit noted, “[e]ach [member] did not invest $15 million
in the spread transaction contributed to Jade and did not lose almost $15
million upon exiting Jade .... [E]ach [member] had a real loss of ... the
difference between its capital contribution ... to the Jade partnership and its
redemption proceeds.” Jade Trading II, 598 F.3d at 1377. The Federal Circuit
therefore characterized the claimed losses as “purely fictional” and held that
the transactions lacked economic substance. Id.
Similarly, the Federal Circuit in Stobie Creek considered
spread transactions involving Foreign Exchange Digital Options (“FXDOTs”) with
premia of over $200 million, later redeemed for Therma-Tru stock. The Federal Circuit
also characterized these transactions as leading to purely fictional tax
effects and as lacking economic substance, stating:
[T]he $204,575,000 stepped-up basis in the Therma-Tru stock
was purely fictional: although the taxpayers only paid (and lost) about $2
million for the FXDOTs, they claimed a basis of over $200 million in their
partnership interests, based on the contribution of those FXDOTS to Stobie
Creek. It is true that the taxpayers did purchase and contribute long options
with a stated premium of $204,575,000 to Stobie Creek. However, they also sold
and contributed short options with a stated premium of $202,529,250. Even
though a literal application of the tax code at that time may have permitted
the taxpayers to treat these transactions separately, what matters under the
economic substance doctrine is whether the tax treatment accords with economic
reality.... Accordingly, the taxpayers' claimed basis of $204,575,000 is
properly disregarded as lacking economic reality; it does not reflect what the
taxpayers paid Deutsche Bank for the FXDOTs ($2,045,757), or what they lost
when the FXDOTs expired out of the money.
Stobie Creek, 608 F.3d at 1377–78.
As in Jade Trading II and Stobie Creek, the transaction
before this court generated tax effects that were purely fictional. The
Puramsetti Trust purchased from AIG a European-style U.S. Dollar/Euro call
option at a strike price of $0.9550 for a premium of $2,500,012, and sold to
AIG a European-style U.S. Dollar/Euro call option at a strike price of $0.9560
for a premium of $2,477,424 on June 5, 2000. On the same day, the Puramsetti
Trust purchased from AIG a European-style U.S. Dollar/British Pound call option
at a strike price of $1.5120 for a premium of $2,500,006 and sold to AIG a
European-style U.S. Dollar/British Pound call option at a strike price of
$1.5130 for a premium of $2,479,088. The Puramsetti Trust paid AIG net premia
of roughly $44,000 in connection with the June 5 trades. Joint Stip. ¶ 94; JX
78. The Puramsetti Trust later contributed the options to K2, along with $4,030
in cash, in order to receive a 4.49 percent partnership interest in K2. Joint
Stip. ¶¶ 158–59; JX 155. The Puramsetti Trust withdrew from K2 on December 12,
2000, receiving [Euro]11,174 and 7,003 shares of Rare Medium Group, Inc. stock
in exchange for its partnership interest. JX 162. On December 22, 2000, the
Puramsetti Trust sold 578 shares of the Rare Medium stock that it had received
in exchange for its interest in K2 and “reported a loss of $246,705 for the 2000
taxable year, in which the sold call options were disregarded as liabilities in
the calculation of basis for federal income tax purposes.” Joint Stip. ¶ 166;
JX 239. However, Puramsetti did not invest $246,705, and did not suffer a loss
in that amount. The losses Puramsetti claimed do not reflect economic reality.
The Contribution of the Spreads to K2 was Meaningless
“[M]eaningless inclusion in a partnership” is another factor
indicating that the spread transaction objectively lacked economic substance. Jade
Trading II, 598 F.3d at 1377; Stobie Creek, 608 F.3d at 1379. In concluding
that the transaction at issue in Jade Trading lacked economic substance, the
Federal Circuit explained that creation of the Jade partnership -- and the
contribution of options to that partnership -- did not “enhance the investment
potential of the spread transaction ... [but] was imperative ... to generate
the artificially inflated bases.” Jade Trading II, 598 F.3d at 1377.
Here, Plaintiff contends that contribution of the spread
options to K2 appreciably affected the Participants' economic position by
offering the benefits of diversification and centralized management. Pl.'s
Post-Trial Br. 29–32. According to Plaintiff, “contribution and assignment of
the positions to K2 Trading allowed the investors to diversify their portfolio
by obtaining an interest in call spread options positions with varying strike
prices and thus appreciably affected the investors' beneficial interests.” Id.
at 6.
The Government counters that formation of and contribution
to K2 did nothing but create the Participants' claim “to a hugely inflated,
artificial tax basis in their partnership interest, the transfer of that basis
to assets received when they redeemed their partnership interest, and to
enormous tax losses when the assets are sold to shelter other income.” Def.'s
Post-Trial Br. 30. The Government also argues that K2's creation generated an
unnecessary transaction cost, since the spread positions were not traded after
contribution and were closed out at a near total loss. Id. at 31; see also Tr.
462; Tr. 560 (“[T]he options were closed out at a loss of about 99.75 percent
of their initial value.”); Tr. 732–33. The Government points out that creating
the K2 partnership cost at least $830 in legal fees and presumably additional
miscellaneous costs, such as set-up, bookkeeping, and preparing financial
statements, as well. Joint Stip. ¶ 142.
The weight of the evidence and the persuasiveness of Defendant's
expert opinions contravene Plaintiff's assertion that contributing options to
the K2 partnership appreciably benefited the Participants by providing
diversification and centralized management. Dr. DeRosa testified that the
Participants' decision to pool their assets in the K2 partnership did not
achieve any appreciable benefit from diversification because the bulk of the
trades were identical. Tr. 459–61. As he explained, diversification was
“minimal because most of these guys had the same trade on anyway.” Tr. 459. Dr.
Kolbe agreed, testifying that spreads having different strike prices
constituted less than 12% of the British Pound spreads and less than 17% of the
Euro spreads. Tr. 729–32. Dr. DeRosa also emphasized that it would have been
possible for any one of the Participants to achieve the same minimal
diversification in his or her portfolio by “mak[ing] a miniature version of K2
any time they wanted” at no additional cost. Tr. 461. As such, he opined that
“there's no advantage [to pooling their assets in the partnership].... [The
Participants] didn't need to go to K2.” Id.
Although Dr. Taleb testified that diversification offered a
gain, he could not opine on its magnitude. Tr. 183–84. Rather, Dr. Taleb
testified, “there is a gain from diversification ... [but] I don't know how
much.” Id.
According to Dr. DeRosa, moreover, the Participants did not
have to join K2 to enjoy the purported benefit of centralized management. Tr.
462. In fact, Dr. DeRosa saw no benefit of centralized management and questioned
whether centralized management even existed because “K2 rode the options into
the ground. They didn't do anything. There was no trading. There was nothing
going on.” Tr. 462; see also Tr. 732–33 (testifying that after the options were
contributed to K2, they “were never traded again, they weren't reversed, they
weren't restruck, nothing happened.”). Dr. Kolbe agreed, remarking, “to the
extent there's official centralized control that didn't exist before
[contribution to the partnership], when you put them into K2, there's no
evidence from what actually happened that it was of any benefit.” Tr. 732.
In contrast to the lack of benefit the partnership vehicle
offered for investment purposes, the creation and structure of the partnership
and the contribution of the spreads to that entity were “imperative” to
generate the artificially inflated basis. Jade Trading II, 598 F.3d at 1377.
Plaintiff's expert declined to testify about the tax implications of the spread
transaction. As Dr. Taleb explained, he “wanted to be not involved in knowing
anything, so I'm making a decision on the economic aspect of the transaction
regardless of whatever tax windfall or not windfall is there. So I'm not
involved in the tax aspect.” Tr. 222.
The Potential for Profit Does Not Imbue the Transactions
with Economic Substance
Plaintiff seeks to distance itself from the outcome in Jade
Trading II, which invalidated a substantially similar spread transaction, by
focusing myopically on the spread transactions' potential for profit. The
parties agree that, unlike the transactions in Jade Trading, the transactions
at issue here might have turned a profit even net of the costs of premia and
fees. In Plaintiff's view, because the spread transactions may have been
profitable, the transactions had economic substance.
Refocusing the economic substance inquiry solely on profit
potential, however, does not alter the spread transaction's essence as an asset
with low value, high basis, and fictional tax losses. The objective economic
substance test requires that a taxpayer prove a transaction had a realistic
financial benefit beyond tax avoidance. Coltec, 454 F.3d at 1356 n.16. While
lack of reasonable profit-making potential is one indicator that a transaction
does not possess economic substance, Stobie Creek, 608 F.3d at 1378, potential
for profit does not in and of itself establish economic substance -- especially
where the profit potential is dwarfed by tax benefits. As the Federal Circuit
noted in Jade Trading II, a “disproportionate tax advantage as compared to the
amount invested and potential return[] compel[s] a conclusion that the spread
transaction objectively lacked economic substance.” 598 F.3d at 1377.
The Spreads' Potential for Profit Under a Static Strategy
The potential returns here were grossly disproportionate to
the tax benefits of the transactions, even assuming the highest potential
profitability. The June 7 Pound spread held by A.B.I.B., for instance, might
have generated at most $202,054 in profits net of fees and premium. The
corresponding tax benefit for A.B.I.B., however, would have been an inflated
basis of some $26 million -- the value of the purchased call option. Def.'s Ex.
1 at 42. In a similar vien, the Puramsetti Trust stood to gain at most $14,763
from its pound spread and $15,938 from its Euro spread but claimed a tax loss
of $246,705 when selling a portion of the assets received upon exiting K2.
Def.'s Ex. 1 at 41, 45. 5 The high ratio of tax benefits to maximum potential
profit indicates that the transactions were designed only to produce
disproportionate tax benefits. In Sala v. United States, 613 F.3d 1249 [106 AFTR 2d 2010-5406] (10th
Cir. 2010), a functionally similar spread transaction stood to gain at most
$550,000 over one year, but generated tax benefits of almost $24 million. The
“expected tax benefit [dwarfed] any potential gain from [the transaction] such
that “the economic [realities] of [the] transaction [were] insignificant in
relation to the tax benefits of the transaction.”” Id. at 1254 (quoting Rogers
v. United States, 281 F.3d 1108, 1116
[89 AFTR 2d 2002-1115] (10th Cir. 2002)). So too, the potential profit of the
K2 spread transactions, dwarfed by their attendant tax benefits, cannot endow
the transactions with economic substance.
The Spreads' Potential for Profit Under a Dynamic Strategy
Plaintiff contends that the K2 Participants could have
reasonably anticipated earning even more by repeatedly restriking their
spreads. A reasonable expectation of profit earned by “dynamic” trading, according
to Plaintiff, is further evidence that the spread transactions possessed
economic substance here.
Restriking allows a trader to create a new spread position
with new strike prices while retaining portions of the initial trade's strategy
(such as notional amount and maturity). Tr. 126–27, 131, 135, 141, 413, 415,
419. As Dr. DeRosa explained, the “essence of [restriking] is that each time
you do a restrike ... you sell the original option that you're long and you buy
an option that you were short so that you undo the trades by doing a new set of
trades, and then you buy the new spread.” Tr. 413. Where the long option is in
the money at the time of the restrike, the restriking investor receives a cash
settlement.
In restriking, the option-holder normally incurs additional
fees in the form of bid-ask spreads, or the difference between the fair market
value of an option and what a dealer actually charges an investor-client. Tr.
150–54. Here, however, the experts agree that there were no bid-ask spreads
embedded in the premia of the original or the restruck options. Tr. 153, 470,
777. Plaintiff therefore extrapolates that the Participants' Master Trading
Agreements with AIG, in conjunction with the up-front fee to AIG, allowed the
Participants several -- if not unlimited -- restriking opportunities without
fees. In Plaintiff's view, with each restrike, a Participant could have
received a cash payment, which, when added to an ostensibly profitable spread
at maturity, could have multiplied each Participant's total profit. However,
Plaintiff's assumption that the Participants could have restruck repeatedly and
at low cost is not supported by the Master Trading Agreements or the record as
a whole.
Defendant posits that restriking did not actually increase
the spread transactions' profit potential. According to Defendant's experts,
restruck options are inherently less valuable because the new options have
higher strike prices. Tr. 541–42; Tr. 586–88. For the new options to expire
in-the-money, the foreign currency must move progressively higher against the
dollar, a movement that becomes more unlikely as strike prices rise. In
practice, this meant AIG's cash settlements with the Participants following
restrikes merely compensated, but did not enrich, the Participants in exchange
for a new spread that was less likely to expire in the money. Restriking was
essentially like moving money from “one pocket” (the valuable, in-the-money
spread transaction) into another (a cash settlement and a less valuable spread
transaction). Tr. 415–16.
Ultimately, Plaintiff has not shown that the potential for
restriking would have appreciably altered the spreads' profit potential or,
consequently, the spreads' economic substance. Plaintiff's theory about the
transactions' enhanced potential profit from dynamic trading is overly
speculative. Plaintiff's argument, relying heavily on the testimony of Dr.
Taleb, is essentially that dynamic trading is dependent on market conditions
and investor psychology, making payoffs uncertain. Uncertain payoffs, in turn,
imply an indeterminate possibility of large payoffs (and, conversely, no
payoffs). Because the spread transactions were part of a dynamic trading
strategy, Plaintiff argues, they had at least some chance for incredibly large
profits. See Pl.'s Post-Trial Brief at 11; Tr. 128 (quoting Dr. Taleb) (“So we
don't know the upper bound. There is no fixed upper bound, you see. I don't
know where the upper bound is. Different environment deliver upper bounds, you
see.”).
Under the economic substance doctrine, Plaintiff must show
that there was some reasonable potential for profit, and speculation about
potential unbounded profits does not suffice. Plaintiff does not meet its
burden simply by pointing out that there was a theoretical “non-zero” chance of
indeterminably large profits. In cases where courts have found that profit
potential indicated economic substance, there has been clear evidence that the
challenged transactions were reasonable bets, even though the transactions were
risky. See, e.g., Southgate Master Fund, L.L.C. ex rel. Montgomery Capital
Advisors, LLC v. United States, 659
F.3d 466, 481 [108 AFTR 2d 2011-6488] (5th Cir. 2011) (finding that acquisition
of a portfolio of non-performing Chinese loans, though ultimately unprofitable,
nonetheless possessed economic substance because at the time of purchase “the
available market intelligence and valuation data strongly indicated that the
emerging market in Chinese [non-performing loans] held significant profit
potential”). In this case, however, Plaintiff has offered only an undefined
possibility for meaningful profits, without showing that any particular bet on
currency rates had a realistic possibility of significant gain. In any event,
as explained above, potential profitability cannot be viewed in isolation from
the magnitude of tax benefits generated.
Conclusion
In sum, the possibility of substantial payoffs cannot cloak
this type of transaction in legitimacy when all other characteristics of the
transaction duplicate the elements of the tax shelter disallowed in Jade
Trading. Importantly, profit potential is only one of several factors
indicating economic substance. Here, the transactions exhibit the same critical
attributes which defined this strategy as a tax avoidance mechanism in Jade
Trading: a fictional loss, a meaningless contribution to a partnership, and a
disproportionate tax advantage as compared to the amount invested and potential
return. Jade Trading II, 598 F.3d at 1377. On the opposite side of the ledger,
Plaintiff has shown only highly speculative profit from a dynamic trading
strategy and profit arising from a static trading strategy, that was dwarfed by
tax benefits. As the Tenth Circuit succinctly put it in Sala, “[t]he existence
of some potential profit is “insufficient to impute substance into an otherwise
sham transaction” where a “common-sense examination of the evidence as a whole”
indicates the transaction lacked economic substance.” 613 F.3d at 1254 (quoting
Keeler v. Comm'r, 243 F.3d 1212, 1219
[87 AFTR 2d 2001-1224] (10th Cir. 2001)). Here, a common sense look at the
totality of the evidence reveals that the spread transaction, just as in Jade
Trading, was designed not for real economic gain, but for tax avoidance.
Because the spread transaction lacked economic substance and
must be disregarded on that ground alone, the Court does not reach the issue of
whether Treasury Regulation §1.752–6
can be applied retroactively.
Plaintiff's petition for readjustment of the partnership
items of K2 is DENIED, with costs awarded to Defendant.
MARY ELLEN COSTER WILLIAMS
JUDGE
1
These findings of
fact are derived from the parties' Joint Stipulation of Facts and the
accompanying Joint Exhibits. Moreover, the parties have stipulated that the
Court may take judicial notice of certain facts in Jade Trading I. Joint Stip.
¶ 1. Those facts, while not essential to the Court's holding, provide context
to the origin and use of the type of transaction at issue here. In addition,
the Court has considered the relevant expert opinions presented at trial.
2
Through his company,
MCS Asset Management, Morris Safdie also possessed an ownership stake in K2.
Joint Stip. ¶ 19. The Court's analysis does not involve Mr. Safdie beyond
noting his membership in Sentinel LLC, and his $20,000 cash contribution to K2
in exchange for a 4.61% ownership interest in the K2 partnership.
3
Paragraph 11.6
appeared in the original Master Trading Agreements for A.B.I.B., Bergmann
Family Trust, and Puramsetti Trust. Paragraph 11.6 was added by amendment to
the Master Trading Agreements for the Bergmann and Pfeiffer Trusts.
4
Unless indicated
otherwise, all subsequent short form citations to the United States Code refer
to Title 26 as codified in the relevant time period.
5
These numbers
incorporate Dr. DeRosa's calculations of maximum potential returns net of fees
and premia. The experts agreed that the upfront fees paid to AIG must be
accounted for in any estimation of potential profit, and Dr. Taleb and Dr.
DeRosa each accounted for the fees by apportioning them among each of the
Participants' various trades, including restrikes. Tr. 237, 405, 571. Because
Dr. Taleb testified that the number of potential restrikes was uncertain,
however, he did not provide specific examples of potential returns net of fees.
Tr. 237–39. Only Dr. DeRosa provided specific estimates of returns for each
Participant.
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