This study develops a model to understand how savings, income and insurance are related. Individuals are assumed to have an expected utility function that covers a two-period time additive. Additionally, income and loss are assumed to be bivariate normally distributed. Without insurance loading, analysis results indicate that the optimal insurance coverage ratio equals one less hedging ratio and is independent of individual utility, whereas the hedging ratio exactly equals the covariance of income and loss divided by the variance of loss. With insurance loading, the change in an individual's optimal insurance coverage ratio with respect to a change in an individual wealth or insurance loading rate is related to the global absolute risk aversion.