# Cashflow matching

**Cash flow matching** is a process of hedging in which a company or other entity matches its cash outflows (i.e., financial obligations) with its cash inflows over a given time horizon. It is a subset of immunization strategies in finance.^{[1]} Cash flow matching is of particular importance to defined benefit pension plans.^{[2]}

## Solution with linear programming[edit]

It is possible to solve the simple cash flow matching problem using linear programming.^{[3]} Suppose that we have a choice of bonds with which to receive cash flows over time periods in order to cover liabilities for each time period. The th bond in time period is assumed to have known cash flows and initial price . It possible to buy bonds and to run a surplus in a given time period, both of which must be non-negative, and leads to the set of constraints:

## See also[edit]

- Cash flow hedging
- Debt sculpting
- Duration gap
- Dedicated portfolio theory
- Fannie Mae
- Immunization (finance)

## References[edit]

**^**"Liability-Driven and Index-Based Strategies".*CFA Institute*. Retrieved 2020-03-16.**^**"Cash Flow Matching: The Next Phase of Pension Plan Management" (PDF).*Goldman Sachs Asset Management*. February 2020.**^**Cornuéjols, Gérard; Peña, Javier; Tütüncü, Reha (2018).*Optimization Methods in Finance*(2nd ed.). Cambridge, UK: Cambridge University Press. pp. 35–37. ISBN 9781107056749.