5 Question Let Ya,n be the present value of an n-year term continuous annuity of $1 per year for an insured aged x. Let Y be the present value of a whole life continuous annuity of $1 per year for an insured aged x. Given a constant force of interest, 8, show that: 1 бп Cov (Yz,n, Yz) = (A — e¯ðª‚„Ez (1 − Āz+n) — ±‚ñ¦Ã‚) 82 n. - -
5 Question Let Ya,n be the present value of an n-year term continuous annuity of $1 per year for an insured aged x. Let Y be the present value of a whole life continuous annuity of $1 per year for an insured aged x. Given a constant force of interest, 8, show that: 1 бп Cov (Yz,n, Yz) = (A — e¯ðª‚„Ez (1 − Āz+n) — ±‚ñ¦Ã‚) 82 n. - -
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
Transcribed Image Text:5
Question
Let Ya,n be the present value of an n-year term continuous annuity of $1
per year for an insured aged x. Let Y be the present value of a whole life
continuous annuity of $1 per year for an insured aged x. Given a constant
force of interest, 8, show that:
1
бп
Cov (Yz,n, Yz) = (A — e¯ðª‚„Ez (1 − Āz+n) — ±‚ñ¦Ã‚)
82
n.
-
-
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