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Table 1 Comparison of VA benefits between three models

From: A variational inequality arising from optimal surrender of variable annuity with lookback benefit

Model

Surrender at time t

At maturity T

Bernard et al. [1]

\(e^{-\kappa (T-t)}F_{t}\)

\(\max (F_{T},G)\)

Jeon and Kwak [5]

\(e^{-\kappa (T-t)}\max (F_{t}, G)\)

\(\max (F_{T},G)\)

Our model

\(e^{-\kappa (T-t)}\max (\alpha M_{t}, G)\)

\(\max (\alpha M_{T}, G)\)