February 23, 2023

The BoC has released a working paper by Jonathan Chiu, Emre Ozdenoren, Kathy Yuan and Shengxing Zhang titled On the Fragility of DeFi Lending:

We develop a dynamic model of decentralized finance (DeFi) lending that incorporates two/these key features: 1) borrowing and lending are decentralized, anonymous, overcollateralized and backed by the market value of crypto assets where contract terms are pre-specified and rigid; and 2) information friction exists between borrowers and lenders. We identify a price-liquidity feedback: the market outcome in any given period depends on agents’ expectations about lending activities in future periods, with higher price expectations leading to more lending and higher prices in that period. Given the rigidity inherent to smart contracts, this feedback leads to multiple self-fulfilling equilibria where DeFi lending and asset prices move with market sentiment. We show that flexible updates of smart contracts can restore equilibrium uniqueness. This finding highlights the difficulty of achieving stability and efficiency in a decentralized environment without a liquidity backstop.

Decentralized finance (DeFi) is an umbrella term for a variety of financial service protocols and applications (e.g., decentralized exchanges, lending platforms, asset management) that operate on blockchain technology. They are anonymous permission-less financial arrangements implemented via smart contracts — immutable, deterministic computer programs—on a blockchain that have been designed to replace traditional financial intermediaries (TradFi)

The growth of decentralized finance has been substantial since the “DeFi Summer” of 2020. According to data aggregator DeFiLlama, the total value locked (TVL) of DeFi had risen to 230 billion U.S. dollars as of April 2022, up from less than one billion two years prior to that time. As DeFi grows in scale and scope and becomes more extensively connected to the real economy, its vulnerabilities might undermine financial-sector stability (Aramonte, Huang, and Schrimpf (2021)). As a result, policymakers and regulators have raised concerns about the implications of DeFi for financial stability (FSB 2022; IOSCO 2022).2 Yet formal economic analysis of this issue remains very limited. In this paper, we examine DeFi lending protocols—an important component of the DeFi eco-system—and the sources and implications of their instability. For example, DeFi lending is much more volatile than traditional lending.3 In addition, Aramonte et al. (2022) argue that DeFi lending generates “pro-cyclicality,” the co-movement between crypto prices and lending activities.

In this paper, we study sources of fragility in DeFi lending caused by several of its fundamental features. These features are informational frictions, such as asymmetric information about collateral quality, oracle problems, and rigid contract terms. We demonstrate the inherent instability of DeFi lending that results from price-liquidity feedback exacerbated by informational frictions, leading to self-fulfilling sentimentdriven cycles. Stability requires flexible and state-contingent smart contracts. To achieve that end, a smart contract may take a complex form. Such a contract also requires a reliable oracle to feed realtime hard and soft information from the off-chain world. Alternatively, DeFi lending could abandon complete decentralization and re-introduce human intervention to provide real-time risk management— an arrangement that would force the protocol to rely on a trusted third party. Our finding highlights a trilemma faced by DeFi protocols: the difficulty involved in achieving simplicity in smart contracts and stability in asset prices while maintaining a high degree of decentralization.

HIMIPref™ Preferred Indices
These values reflect the December 2008 revision of the HIMIPref™ Indices

Values are provisional and are finalized monthly
Index Mean
Current
Yield
(at bid)
Median
YTW
Median
Average
Trading
Value
Median
Mod Dur
(YTW)
Issues Day’s Perf. Index Value
Ratchet 0.00 % 0.00 % 0 0.00 0 0.2985 % 2,583.3
FixedFloater 0.00 % 0.00 % 0 0.00 0 0.2985 % 4,954.7
Floater 8.72 % 8.93 % 60,539 10.36 2 0.2985 % 2,855.4
OpRet 0.00 % 0.00 % 0 0.00 0 -0.0606 % 3,379.4
SplitShare 4.98 % 6.60 % 56,482 2.77 7 -0.0606 % 4,035.7
Interest-Bearing 0.00 % 0.00 % 0 0.00 0 -0.0606 % 3,148.8
Perpetual-Premium 0.00 % 0.00 % 0 0.00 0 -0.0818 % 2,774.6
Perpetual-Discount 6.15 % 6.26 % 72,313 13.50 37 -0.0818 % 3,025.5
FixedReset Disc 5.36 % 7.69 % 85,890 11.82 59 0.3074 % 2,274.1
Insurance Straight 6.02 % 6.19 % 90,262 13.57 20 0.0975 % 2,984.2
FloatingReset 9.75 % 10.20 % 39,425 9.28 2 0.1857 % 2,627.3
FixedReset Prem 6.43 % 6.36 % 220,311 4.00 2 -0.3581 % 2,361.7
FixedReset Bank Non 0.00 % 0.00 % 0 0.00 0 0.3074 % 2,324.6
FixedReset Ins Non 5.25 % 7.20 % 47,117 12.27 14 -0.2920 % 2,457.7
Performance Highlights
Issue Index Change Notes
PWF.PR.S Perpetual-Discount -4.76 % YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 18.81
Evaluated at bid price : 18.81
Bid-YTW : 6.46 %
TRP.PR.G FixedReset Disc -3.41 % YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 17.00
Evaluated at bid price : 17.00
Bid-YTW : 8.74 %
SLF.PR.H FixedReset Ins Non -1.96 % YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 15.51
Evaluated at bid price : 15.51
Bid-YTW : 8.24 %
PWF.PR.L Perpetual-Discount -1.86 % YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 20.61
Evaluated at bid price : 20.61
Bid-YTW : 6.26 %
IFC.PR.A FixedReset Ins Non -1.62 % YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 18.27
Evaluated at bid price : 18.27
Bid-YTW : 7.20 %
MIC.PR.A Perpetual-Discount -1.50 % YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 19.70
Evaluated at bid price : 19.70
Bid-YTW : 6.99 %
MFC.PR.L FixedReset Ins Non -1.36 % YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 17.44
Evaluated at bid price : 17.44
Bid-YTW : 8.14 %
MFC.PR.M FixedReset Ins Non -1.21 % YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 17.95
Evaluated at bid price : 17.95
Bid-YTW : 8.05 %
PWF.PR.K Perpetual-Discount -1.19 % YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 19.97
Evaluated at bid price : 19.97
Bid-YTW : 6.28 %
FTS.PR.K FixedReset Disc -1.18 % YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 16.82
Evaluated at bid price : 16.82
Bid-YTW : 8.27 %
BN.PF.C Perpetual-Discount -1.13 % YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 19.30
Evaluated at bid price : 19.30
Bid-YTW : 6.40 %
PVS.PR.J SplitShare -1.11 % YTW SCENARIO
Maturity Type : Hard Maturity
Maturity Date : 2028-02-29
Maturity Price : 25.00
Evaluated at bid price : 22.35
Bid-YTW : 6.94 %
IAF.PR.I FixedReset Ins Non 1.13 % YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 22.75
Evaluated at bid price : 23.96
Bid-YTW : 6.55 %
BN.PR.M Perpetual-Discount 1.34 % YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 18.87
Evaluated at bid price : 18.87
Bid-YTW : 6.41 %
GWO.PR.Y Insurance Straight 1.55 % YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 19.05
Evaluated at bid price : 19.05
Bid-YTW : 6.01 %
RY.PR.J FixedReset Disc 1.67 % YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 19.45
Evaluated at bid price : 19.45
Bid-YTW : 7.57 %
IFC.PR.G FixedReset Ins Non 1.73 % YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 21.45
Evaluated at bid price : 21.75
Bid-YTW : 7.15 %
CIU.PR.A Perpetual-Discount 3.11 % YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 18.55
Evaluated at bid price : 18.55
Bid-YTW : 6.24 %
CU.PR.E Perpetual-Discount 5.55 % YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 20.16
Evaluated at bid price : 20.16
Bid-YTW : 6.11 %
IFC.PR.C FixedReset Disc 28.57 % YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 18.00
Evaluated at bid price : 18.00
Bid-YTW : 7.83 %
Volume Highlights
Issue Index Shares
Traded
Notes
CU.PR.I FixedReset Disc 55,000 YTW SCENARIO
Maturity Type : Call
Maturity Date : 2025-12-01
Maturity Price : 25.00
Evaluated at bid price : 24.90
Bid-YTW : 4.64 %
NA.PR.C FixedReset Prem 44,100 YTW SCENARIO
Maturity Type : Call
Maturity Date : 2027-11-15
Maturity Price : 25.00
Evaluated at bid price : 25.77
Bid-YTW : 6.36 %
TD.PF.D FixedReset Disc 22,200 YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 19.33
Evaluated at bid price : 19.33
Bid-YTW : 7.64 %
TRP.PR.D FixedReset Disc 18,500 YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 16.33
Evaluated at bid price : 16.33
Bid-YTW : 8.99 %
FTS.PR.M FixedReset Disc 17,850 YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 17.72
Evaluated at bid price : 17.72
Bid-YTW : 8.23 %
TD.PF.L FixedReset Disc 17,100 YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 23.85
Evaluated at bid price : 24.30
Bid-YTW : 6.99 %
There were 3 other index-included issues trading in excess of 10,000 shares.
Wide Spread Highlights
Issue Index Quote Data and Yield Notes
PWF.PR.S Perpetual-Discount Quote: 18.81 – 20.00
Spot Rate : 1.1900
Average : 0.7203

YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 18.81
Evaluated at bid price : 18.81
Bid-YTW : 6.46 %

BN.PF.C Perpetual-Discount Quote: 19.30 – 20.30
Spot Rate : 1.0000
Average : 0.6920

YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 19.30
Evaluated at bid price : 19.30
Bid-YTW : 6.40 %

PWF.PR.F Perpetual-Discount Quote: 21.17 – 22.00
Spot Rate : 0.8300
Average : 0.5660

YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 21.17
Evaluated at bid price : 21.17
Bid-YTW : 6.28 %

CU.PR.G Perpetual-Discount Quote: 18.75 – 19.35
Spot Rate : 0.6000
Average : 0.3970

YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 18.75
Evaluated at bid price : 18.75
Bid-YTW : 6.04 %

BIK.PR.A FixedReset Prem Quote: 24.32 – 25.30
Spot Rate : 0.9800
Average : 0.7924

YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 23.85
Evaluated at bid price : 24.32
Bid-YTW : 7.76 %

MFC.PR.Q FixedReset Ins Non Quote: 21.81 – 22.52
Spot Rate : 0.7100
Average : 0.5498

YTW SCENARIO
Maturity Type : Limit Maturity
Maturity Date : 2053-02-23
Maturity Price : 21.49
Evaluated at bid price : 21.81
Bid-YTW : 7.14 %

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