Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

Withdrawal Success Optimization in a Pooled Annuity Fund

Consider a closed pooled annuity fund investing in n assets with discrete-time rebalancing. At time 0, each annuitant makes an initial contribution to the fund, committing to a predetermined schedule of withdrawals. Require annuitants to be homogeneous in the sense that their initial contributions a

Holy Grail Math 7 Rigor 5.5 ·  February 27, 2024

Long-Term Returns Estimation of Leveraged Indexes and ETFs

Daily leveraged exchange traded funds amplify gains and losses of their underlying benchmark indexes on a daily basis. The result of going long in a daily leveraged ETF for more than one day is less clear. Here, bounds are given for the log-returns of a leveraged ETF when going long for more than ju

Lab Rats Math 5.5 Rigor 4.5 ·  January 9, 2023

Justifying the Volatility of S&P 500 Daily Returns

Over the past 60 years, there has been a gradual increase in the volatility of daily returns for the S&P 500 Index. Hypothetically, suppose that market forces determine daily volatility such that a daily leveraged S&P 500 fund cannot outperform a standard S&P 500 fund in the long run. Then this hypo

Philosophers Math 3.5 Rigor 3 ·  March 2, 2024

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