The Impact of Different Risk Aversions on The Bond-Stock Mix: A Note

This paper reexamines the issue of bond stock allocation by considering, contrary to existing literature, that the risk aversion towards consumption is higher than that towards wealth. We mainly find that a higher risk aversion towards consumption significantly increases the bond-stock ratio, due to, in particular an increase in the bond demand. Also, we find that the proportion of wealth used to satisfy future consumption decreases with the risk aversion towards consumption when the investor is sufficiently rich. Next, we show that when the investor’s current consumption decreases to zero, she saves all her wealth to meet future consumption and leaves nothing for her bequest. Finally, we find that the relative risk aversion exhibits a hump shaped pattern in the coefficient of the risk aversion towards consumption.