CSU issuance dashboard

Capped Short Units under Bates SVJ -- generated 2026-08-20 from results/. Methodological study; not investment advice.

Verdict by volatility regime

2008 Crisis

Do not issue at listed terms
0.2383
Price (final, per notional)
66.2%
Knock-out probability
73%
Tail margin / price
+16.4%
Hedged mean P&L
-5.9%
Worst hedged path

2010 Flash Crash

Issue at reduced size (alpha = 0.5)
0.1639
Price (final, per notional)
48.2%
Knock-out probability
70%
Tail margin / price
+11.6%
Hedged mean P&L
-0.6%
Worst hedged path

COVID-19

Do not issue at listed terms
0.2691
Price (final, per notional)
68.9%
Knock-out probability
73%
Tail margin / price
+18.0%
Hedged mean P&L
-23.9%
Worst hedged path

Normal Market

Issue at full size
0.0971
Price (final, per notional)
13.5%
Knock-out probability
74%
Tail margin / price
+6.9%
Hedged mean P&L
+1.9%
Worst hedged path

Validation vs. closed forms (Table 2)

caseMCSEexactabs_errerr_in_SE
GBM limit, BGK=off4.367e-023.099e-054.272e-029.450e-043.050e+01
GBM limit, BGK=on4.271e-023.714e-054.272e-021.512e-054.071e-01
Fourier vanilla vs BS (sigma->0)4.600e+00nan4.600e+004.973e-09nan

Prices and tail margins (Table 3)

scenarioP0_rawSEKO_rateSE_KOES999ES999_CI90ES_methodtail_marginP0_finalCV_var_red
2008 Crisis0.06550.00010.66240.00110.5760[0.5720,0.5821]pot-gpd0.17280.23830.7108
2010 Flash Crash0.04840.00010.48200.00110.3848[0.3803,0.3884]pot-gpd0.11550.16390.9116
COVID-190.07150.00020.68890.00100.6587[0.6501,0.6636]pot-gpd0.19760.26910.6668
Normal Market0.02550.00000.13480.00080.2385[0.2346,0.2421]pot-gpd0.07160.09710.9993

Delta-hedged issuer P&L, % of notional (Table 4)

scenariomean_pnl_%std_%SE_mean_%VaR99_%ES99_%min_%
2008 Crisis16.411.630.0111.248.94-5.93
2010 Flash Crash11.571.000.018.587.43-0.58
COVID-1917.992.410.018.952.86-23.86
Normal Market6.900.630.005.144.671.92

PESU prototype -- private-equity short unit

scenarioP0_rawSEKO_rateSE_KOES999ES_methodtail_marginref_marginP0_finalmonitoring_dates
PE Normal (buyout)0.08140.00040.38950.00150.5643pot-gpd0.16930.02500.27564
PE Rate Shock (2022-23)0.10750.00050.46730.00160.6623pot-gpd0.19870.02500.33124
PE GFC (2008-09)0.15170.00070.48980.00160.7377pot-gpd0.22130.02500.39804

Institutional OTC product on desmoothed PE NAV dynamics, quarterly barrier monitoring, ZKFL-PQ reference-price loading. Prototype; not part of the manuscript.

Design screener -- top feasible candidates

2008 crisis

buffercap_Lmaturity_daysP0_rawse_P0tail_marginP0_finalKO_ratemargin_sharebuffer_floor_eq13feasiblescore
0.30001.0000300.09070.00010.16640.25710.21890.64710.2256True0.8660
0.30000.5000300.04540.00000.08320.12860.21890.64710.2256True0.8660
0.25000.5000300.04470.00000.08340.12810.29940.65080.2256True0.9502
0.25001.0000300.08950.00010.16680.25630.29940.65080.2256True0.9502
0.30000.5000600.05970.00010.09740.15710.36520.62010.2256True0.9853

covid 19

buffercap_Lmaturity_daysP0_rawse_P0tail_marginP0_finalKO_ratemargin_sharebuffer_floor_eq13feasiblescore
0.30001.0000300.10360.00010.18430.28790.26080.64010.2611True0.9009
0.30000.5000300.05180.00010.09210.14400.26080.64010.2611True0.9009
0.30000.5000600.06740.00010.10690.17430.40980.61310.2611True1.0228
0.30001.0000600.13490.00030.21370.34860.40980.61310.2611True1.0228
0.30000.5000900.07600.00020.11410.19020.48550.60020.2611True1.0857

flash crash

buffercap_Lmaturity_daysP0_rawse_P0tail_marginP0_finalKO_ratemargin_sharebuffer_floor_eq13feasiblescore
0.30001.0000300.05350.00000.11800.17150.03840.68800.1731True0.7264
0.30000.5000300.02680.00000.05900.08580.03840.68800.1731True0.7264
0.25001.0000300.05350.00000.11800.17150.08320.68810.1731True0.7713
0.25000.5000300.02670.00000.05900.08580.08320.68810.1731True0.7713
0.30001.0000600.07500.00000.14550.22050.14950.65970.1731True0.8092

normal

buffercap_Lmaturity_daysP0_rawse_P0tail_marginP0_finalKO_ratemargin_sharebuffer_floor_eq13feasiblescore
0.30001.0000300.02550.00000.07120.09680.00000.73600.1150True0.7360
0.30000.5000300.01280.00000.03560.04840.00000.73600.1150True0.7360
0.25001.0000300.02550.00000.07120.09680.00010.73600.1150True0.7361
0.25000.5000300.01280.00000.03560.04840.00010.73600.1150True0.7361
0.20001.0000300.02550.00000.07120.09680.00150.73600.1150True0.7375

Full ranked grids in results/screener_*.csv.

Paper figures

Fig. 1 -- BGK discrete-barrier correction

Fig. 2 -- Price and KO rate vs. barrier buffer

Fig. 3 -- Delta-hedged issuer P&L distribution