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Actuarial Mathematics and Life-Table Statistics - UMD
value of a life-contingent n-year future payment of 1: A 1 x:n⌉ = nEx = v n npx Even such a simple life-table and interest-related function would seem to re-quire a table in the two integer parameters x, n, but the following expression immediately shows that it can be recovered simply from a single tabulated column: A 1 x:n⌉ = vn+x l n+x vx ...
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Actuarial Mathematics and Life-Table Statistics
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www.math.umd.eduHowever in the case of monotone sequences it is. 2. Definitions: • We say {a n} is monotonically (monotone) increasing if ∀n,a n+1 ≥ a n. • We say {a n} is monotonically (monotone) decreasing if ∀n,a n+1 ≤ a n. • A sequence is monotone if it is either. 3. Theorem (The Monotone Convergence Theorem): If {a n} is monotone and ...
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