Explain the approach known as liability-driven investing
The idea
Liability-driven investing (LDI) builds the asset portfolio around the size, timing and interest-rate sensitivity of the liabilities it must fund, rather than around a market index. Liabilities are classed by how certain their amounts and timing are, from fixed schedules to uncertain amounts at uncertain dates. The core tool is matching the money duration (basis point value) of assets to that of liabilities so the surplus is protected from rate changes; hedge ratio = asset BPV ÷ liability BPV. Implementation uses long bonds, cash flow matching, immunisation or overlays with swaps and futures. A trap is matching duration alone; asset convexity must also exceed that of the liabilities, and non-parallel curve shifts can still open a gap.
Formulas
Hedge ratio for liability-driven investing
hedge ratio = asset BPV ÷ liability BPV
- asset BPV
- the basis point value of the assets, including any swaps or futures overlay
- liability BPV
- the basis point value of the liabilities
At 100% the surplus is protected against small parallel shifts; less leaves a deliberate bet that rates will rise. Asset convexity should also exceed the liabilities', and non-parallel shifts can still open a gap.
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