Name: _________________________RUID_________ Math 486 Homework 2
Name: _________________________RUID_________ Math 486 Homework 8
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1. You are given:
(i) A60 = 2A40
(ii) ӓ40 = 3ӓ60
Find A40 (Hint: Take the bridge – JS)
2. (Question taken from a previous SOA exam)
For a continuous whole life annuity of 1 on (x), you are given:
(i) Tx, the future lifetime of (x), follows a constant force of mortality 0.06.
(ii) The force of interest is 0.04.
Calculate Pr(āTx| > āx) (i.e. the value that the random variable takes exceeds its expectation – JS)
(A) 0.40 (B) 0.44 (C) 0.46 (D) 0.48 (E) 0.50
(Guidance JS: Constant force of mortality means exponential model for Tx.
Use the shortcut to calculate āx. Use Interest (285) to express āTx|.
Isolate Tx in the inequality and use your knowledge of the exponential distribution from Probability (477) to find the answer)
Name: _________________________RUID_________ Math 48
You are given:
(Hint: Take the bridge
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Name: _________________________RUID_________ Math 486 Homework 8
1. You are given:
(Hint: Take the bridge – JS)
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