a) For an annuity, the claimant will receive payments of RM (YOUR MATRIC NO.) per year, payable continuously as long as she remains to survive. The length of the payment period in years is a random variable with probability density function (p.d.f.) f(t) = te-t,t> 0 Calculate the actuarial present value of the annuity with the force of interest 0.05, and payments begin immediately. Note: For Matric No: 123456, then RM123,456.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 42E
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Payment = RM 278760
For an annuity, the claimant will receive payments of RM (YOUR MATRIC NO.) per
year, payable continuously as long as she remains to survive. The length of the payment
period in years is a random variable with probability density function (p d f)
a)
f (t) = te-t,t > 0
Calculate the actuarial present value of the annuity with the force of interest 0.05, and
payments begin immediately.
Note: For Matric No: 123456, then RM123,456.
Transcribed Image Text:For an annuity, the claimant will receive payments of RM (YOUR MATRIC NO.) per year, payable continuously as long as she remains to survive. The length of the payment period in years is a random variable with probability density function (p d f) a) f (t) = te-t,t > 0 Calculate the actuarial present value of the annuity with the force of interest 0.05, and payments begin immediately. Note: For Matric No: 123456, then RM123,456.
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