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Multivariate Immunization Theory
Letting r(s, t) denote the rate used to discount cash flows from time t to time s, or the implied (t-s)-period ... at time s, where 0<s<t, we have that: [1 + r(0,t)] -t = [1 + r(0,s)] -s [1 + r(s,t)] -<t-s). Hence ...- Authors: Robert Reitano, Elias Shiu
- Date: Oct 1991
- Competency: Technical Skills & Analytical Problem Solving
- Publication Name: Transactions of the SOA
- Topics: Finance & Investments>Asset liability management; Modeling & Statistical Methods>Asset modeling
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Multivariate Duration Analysis
the upper limit of integration with s, say, then substituting s = 1 into the second-order Taylor expansion ... 0 0--N DN(io) = D~(io) - C~io), (4.6) 0 O-~s Dk(io) = Os(io) Dk(io) - Csk(io), (4.7) a O(io) ...- Authors: Robert Reitano, Elias Shiu, Anthony J Zeppetella
- Date: Oct 1991
- Competency: Technical Skills & Analytical Problem Solving
- Publication Name: Transactions of the SOA
- Topics: Finance & Investments>Asset liability management; Modeling & Statistical Methods>Asset modeling