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