■ Co e Fo mula
SCDPI = Tcycle / σdi (lowe is be e )
Whe e:
• Tcycle: Es ima ed numbe o di idend cycles (mon hs) equi ed o pay o 1 sha e ia ein es men
• σdi : S anda d de ia ion ( ola ili y) o mon hly di idend payou s
■ Low SCDPI = E icien asse
■ High SCDPI = Vola ile o slow-paying
■ Cycle Time Calcula ion (DRIP Mode)
Base Calcula ion: Tcycle = P / D
Recu si e Adjus men :
Tadj = log(1 + (D × R) / P) ÷ log(1 + R)
Whe e:
• P = Sha e p ice
• D = Mon hly di idend
• R = Rein es men a e ( ypically 1.0 o DRIP)
■ Me ic Ou pu s
Ticke P ice Annual Di Mon hly Cycles (T) σSCDPI Ra ing
JEPQ $57 $5.70 $0.475 ~120 0.03 4,000 ■■ Slowe
JEPI $55 $5.50 $0.46 ~119 0.06 1,983 ■■ Balanced
SPYI $50 $6.00 $0.50 ~100 0.04 2,500 ■■ Balanced
■ Wha This Me ic Cap u es
■ Time o ecoup in es men ia di idends
■ Mon hly ola ili y in payou
■ Rein o ced by DRIP compounding
■ C oss-asse compa ison o income e iciency
■ Use Cases
• In es o dashboa ds: See which holdings a e “pulling hei weigh ”
• ETF a ing sys ems: Sco e by long- e m yield e iciency
• Tokeniza ion models: Ra e di idend-backed okens o IPO
• F anchise inance: P io i ize income asse s o small in es o s
• Financial wellness ools: “How as is you po olio wo king o you?”
■ IP Sugges ion
This me ic can be p o ec ed as:
S oneCube Di idend Payback Index (SCDPI)
Ci e wi h AACC me hod and op ionally egis e wi h Zenodo DOI, ade sec e amewo k, o p o isional
pa en .
