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Table 1 Optimal investment strategies and expected results with different dependence parameters

From: Optimal investment of a time-dependent renewal risk model with stochastic return

ρ

\(\boldsymbol {\tilde{\theta}^{*}}\)

VaR

\(\boldsymbol {E [U_{\theta}(t) ]}\)

−0.75

0.1805

64.0000

70.0677

−0.50

0.2995

64.0000

71.9864

−0.25

0.3534

64.0000

72.9035

0.00

0.3944

64.0000

73.6225

0.25

0.4286

64.0000

74.2372

0.50

0.4583

64.0000

74.7826

0.75

0.4849

64.0000

75.2806

0.85

0.4915

63.9526

75.4135

0.99

0.4915

63.7571

75.4460