Hi All,
Can somebody please explain the point 2 of When will negative non-unit reserves be held? " The future profits arising on the policy with the negative non unit- reserves need to emerge in time to repay the "loan". I am not getting what "in time" and "loan" refers to here and why does regulation placing restriction. Thanks in advance!
Regards,
Rajat
Hi Rajat
An example might help.
Consider an insurance company with two policies. The annuity policy has cashflows of -30, -30, -30, -30 and -30 and a positive reserve (assuming zero interest rates) of 150.
The unit-linked policy has non-unit cashflows of 40, 40 and 40 and a negative non-unit reserve of -120.
If the regulator is happy to allow negative non-unit reserves, then the overall reserve for the company is 150-120=30. Effectively the company is holding assets of 150 to cover the future annuity payments, but is holding assets of -120 for the unit-linked contract. So the unit-linked contract is actually in debt - it has borrowed 120 from the annuity contract, so that actually the company only has total assets of 30.
Now the company's assets of 30 are not enough to pay the annuity every year. But the unit-linked contract will repay it's debt from it's cashflows of 40 every year. In this case the loan in repaid in time because the unit-linked cashflows of 40 each year are more than enough to pay the annuity cashflows of -30. In year 1, the insurer has reserves of 30, they add the 40 from the unit-linked contract and pay the annuity of 30, leaving them with 40. In year 2, the insurer has reserves of 40, they add the 40 from the unit-linked contract and pay the annuity of 30, leaving them with 50. In year 3, the insurer has reserves of 50, they add the 40 from the unit-linked contract and pay the annuity of 30, leaving them with 60. The reserves of 60 are just enough to pay the annuity of 30 in the remaining two years.
Now consider a case where the loan is not repaid in time. The unit-linked contract generates cashflows of 20, 20 , 20, 20, 20, 20. The company would like to set up a negative non-unit reserve of -120, but it can't because the loan wouldn't be repaid in time. The annuity contract needs all it's money by year 5, but the unit-linked contract is still receiving cashflows in year 6. In this case, the regulation would limit the negative non-unit reserve to -100.
I hope this numerical example helped.
Best wishes
Mark