Can you please give me the Annamalai University - P.G. Diploma in Actuarial Science- Basics of Actuarial Science previous years question papers?

As you want to get the Annamalai University - P.G. Diploma in Actuarial Science- Basics of Actuarial Science previous years question papers so here is the information of the same for you:

Some content of the file has been given here:

SECTION-A (5×8=40)
Answer any FIVE questions


1. The simple interest on certain sum for 3 years at 5% is Rs.1000.Find the compound interest.

2. Find the present value at the rate of interest 7% p.a of Rs.500/- payable at the end of 4 years and 3 months.

3. Explain the utility functions. State its uses in insurance.

4. Discuss the salient features of the individual risk model.

5. Explain time-until-death for a person of age x.

6. Explain the use of central limit theorem in solving insurance problems.

7. Derive survival function from the force of mortality.

8. Write a detailed note on Gompertz law of mortality.

SECTION-B (5×12=60)
Answer ALL questions

9. a) Find the effective interest rate p.a corresponding to the nominal rate of 8% p.a convertible quarterly.
(OR)
b) Establish the relationship between the effective rate and nominal rate of interest.

2
10. a) A decision maker’s utility function is given by u(x)= .The decision maker has a wealth of a = 10 and faces a random loss 7 with the uniform distribution of(0,10).What is the maximum amount the decision maker will pay for complete insurance against the random loss?
(OR)
b) Write a detailed note on the elements of insurance.

11. a) Obtain the M.G.F of aggregate claim S. Hence obtain the mean and variance of the aggregate claim S.
(OR)
b) Discuss about the sum of the individual claim with appropriate models.

12. a) Of two persons A aged(35) and B aged(42),find the probability that
i) A and B both survive 10 years
ii) A and B both die within 10 years
iii) At least one survives 10 years
Given that l35=973550, l45=946656, l42=957541 l52=904837
(OR)
b) Prove that lx= .

13. a) If a mortality table is represented by the function
lx=1000 ,find
i) The probability of a life surviving from bith to age 19.
ii) The probability of a life aged 36 dying before age 51.
(OR)
b) Discuss the construction of life table when the assumptions for fractional ages is effected.





Contact Details:
Annamalai University
College Rd,
Annamalai Nagar,
Chidambaram,
Tamil Nadu 608002 ‎
04144 238 796 ‎
India

Map Location: