Guaranteed annuity options

Discussion in 'SA2' started by Mbotha, Mar 22, 2018.

  1. Mbotha

    Mbotha Member

    In the Capital chapter, it states that an insurer can enter into a swaption to protect against an increase in its GAO liabilities. I'm trying to understand what's meant by "if interest rates fall, the change in the value of the swaption should match the change in the insurer's liabilities"?
     
  2. Lindsay Smitherman

    Lindsay Smitherman ActEd Tutor Staff Member

    Hi
    If interest rates fall, GAOs may go into the money (ie the annuity rates offered under the guarantee are better than those available in the market) - thus increasing the liability under the GAO.
    At the same time, the value of the swaption would increase: a swaption is an option to swap "floating" (ie actual) interest rates for a fixed interest rate. If interest rates fall, the value of the swaption will increase because the fixed rate becomes more attractive relative to the floating rate.
    Effectively, the insurer would purchase a swaption where the strike (specified fixed interest rate) equals the interest rate at which the GAO "bites". If interest rates fall below the strike rate at the GAO date, the insurer could exercise the option and basically gain the excess of the fixed rate over the then current interest rate - just enough to meet the GAO costs.
    Hope that helps.
     
  3. Mbotha

    Mbotha Member

    Thanks so much, Lindsay. That helps a lot!

    So, by entering into the swaption, the impact on the SCR would be:
    • Reduction to market risk SCR component (interest rate)
    • Increase to counterparty default SCR component
    As a results, the risk margin would also reduce. There is no impact on the BEL (I'm assuming the swaption is not taken into account when valuing the cost of the GAO).

    Is that right?
     
    Last edited by a moderator: Mar 24, 2018
  4. ActuaryLad

    ActuaryLad Active Member

    Hi

    I think you need to take account of the portfolio of swaptions when valuing the cost of this GAO within the BEL. GAOs are a huge pain for insurers who sold them in the 80's, 90's and early 00's - in today's low interest environment these GAO policies are really valuable to policyholders (and costly to insurers). I would expect the swaptions to reduce the cost of guarantees component of the BEL. [Removed as stated this in error]

    Working out the expected impact of changes on the SCR (and consequently the risk margin) is often tricky as there can be many moving parts going in offsetting directions. For the standard formula calculation:

    • I agree that interest risk capital would decrease.
    • I agree that counterparty default capital is likely to increase.
    • I would expect a change in insurance risk capital (directions and size uncertain). This is because the original swaption portfolio would be matched to the best estimate view of liabilities. An insurance stress will change the profile of the liability cashflows meaning the swaption portfolio might not be as well matched anymore. (e.g. a reduction in lapse/retirement rates would mean that the GAO might be exercised later than expected when constructing the swaption portfolio). This could increase the cost of guarantee in the stress and the capital for that stress. Some stresses could work the other way and capital could reduce, but I find it difficult to tell without doing the calculations.
    • Another consideration for the previous point is whether the insurer uses management actions. For example, a management action could be rebalance the swaption portfolio if the degree of matching breaches a defined limit/threshold.
    When assessing the impact on risk margin, note that interest risk capital is explicitly excluded from the calculation (article 38(1)(i) of delegated regulation). It is difficult to determine the full impact on risk margin. My instinct is that the increased capital against the swaptions outweighs changes in capital for insurance risks and so I would expect the risk margin to increase.

    Thanks
    Amit
     
    Last edited: Mar 28, 2018
  5. Mbotha

    Mbotha Member

    Why do you say that? Are GAOs sufficiently predictable liabilities (despite uncertainty around option take-up) to warrant the use of a matching or volatility adjustment?

    If not, I'm not sure how a swaption would impact the BEL. Would the investment return simulations cap interest rates at the strike price (the guaranteed annuity rate)? I didn't think this was allowed because then you're effectively assuming a lower liability (BEL) without taking account of the derivative's default risk. I don't know whether my thinking is right though...?

    Thanks for the help!
     
    Last edited by a moderator: Mar 25, 2018
  6. Lindsay Smitherman

    Lindsay Smitherman ActEd Tutor Staff Member

    From a purely theoretical and simplified perspective, my take on it would be as follows:

    If a company with GAOs buys a swaption that matches the GAOs quite closely then:
    - Asset value: small decrease (fee/profit margin for buying swaption = difference between cash paid for swaption and its market value)
    - BEL: no change (market-consistent value of liabilities (including cost of guarantees) - independent of actual assets held)
    - Risk Margin: very slight increase (due to higher counterparty default risk component; as Amit says, the interest rate risk component is not relevant to the RM)
    - SCR: significant reduction (interest rate risk component decrease, with small offset from higher counterparty default risk component)

    So the main balance sheet benefit comes from the reduced SCR, which makes sense since the SCR covers value-at-risk, and the swaptions are reducing risk.
     
    Mbotha likes this.
  7. ActuaryLad

    ActuaryLad Active Member

    Thanks both - I made an error in suggesting that the BEL would change. Have edited my post above to reflect correction.
     
    Mbotha likes this.
  8. Mbotha

    Mbotha Member

    Thanks so much, Lindsay!! :)
     

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