Reading 12 pg 411 - insurance demand and allocation to rf asset

As the correlation between the risky asset and the income flow increases, the ex ante value of human capital to the surviving family decreases. What does this mean? I know that the demand for insurance decreases as HC decreases but I don’t get why HC decreases in the statement above. If the correlation between risky asset and income increases, would you not want more life insurance to hedge?

more risky the asset - the rate at which you discount that asset becomes higher - so the HC becomes discounted at a higher rate. that means PV of the HC is lower. Once you have lower HC - you do not have the need to insure it as much.

you need higher life insurance if your HC value is higher.

Yes,

I also found the way Life Insurance is related to Human Capital counter intuitive as we would go to think; the more uncertainty I have about my future, the more I will be prone to hedge myself on future losses => Risky Salary = More need to ensure my HC.

I think it’s more about the insurability of the HC than the need to have insurance.

A volatile HC is not properly insurable as there is too much uncertainty on his future value.

  • I don’t know how much I am valued => nobody wants to ensure me

  • I have a stable valuation of myself => I’ll want to protect that and we can put a price on it

I found it strange they said we wouldn’t need it…

Thanks! Great explanation from the both of you. It does seem counter-intuitive but it does make sense this way.