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Guru Gobind Singh Indraprastha Vishwavidyalaya 2011 B.B.A Financial Mathematics - exam paper

Tuesday, 28 May 2013 09:55Web



(Please write your Exam Roll No.)    Exam Roll No. .

End Term Examination

__________ ______________ First Semester [BBA(B&l)| December-201 (_ _____________

[Paper Code: BBA(B&I)105______ ___

Subject: Financial Mathematics


Time: 3 Hours    ___ ____

Maximum Marks :75


Note: Section-A compulsory. Attempt four questions selecting at least one from each Section. Log

table and calculator will be provided on demand.


-SECTION \

Attempt any five of the following:-

/"hat are the various classes of Life Insurance Risk?

)cfine crude and Graduated Mortality Rates,

Define Force of Mortality (Ux).

Define Net Single Premium and Net Level Premium.

What is Effective Rate?

What is Sinking Funds?

SECTION-B

What annual rate of interest compounded quarterly should one obtain if he wants to double his investment in five years?     ((15)

the nominal rate 7% converted (or


Find the effective


compounded) continuously.


A man retires at the age of 60 years and his employer gives him pension of Rs.1200/- for the rest of his life. Reconing his expectation of life to be 13 years and that interest is at 4% per annum, what single sum is equivalent to this person?    (15)

OR

Find the amortized monthly payment necessary to pay-off a house building loan of Rs. 1,50,000 at 12% per annum in 10 years. Further find the amount of loan paid after the payment of 60 installments.    ft p (15)

......*


SECTION-C


t y j


SECTION-D


What arc the various classes of Life Insurance Risk?

OR

What are the different types of Mortality tables? From the table given below, evaluate 3P<vu)+i and l/2q(20).    (15)

Age at entry [x|

Wi

.lw+2.

Attained age x+2

20

495393

494534

493633

. 22

21

494480

493620

4927.16

23

22

493566

492702

491795

24

23

492647

491781

490868

25

SECTION-E


From the following mortality table calculate NSP and NLP ie. Net Single and level Premium in Tern;Jgsurance for fivejrears. Assuming 3%- rate of interest and Rs. 1000/ - policy amount in each policy.    (15)


Age x

4

q*

40

96,463

0.00283

41

96,190

0.00314

42

95,880

0.00350

43

95,552

0.00392

44

95,177

0.00439


J*


(3x5=15)



OR

rate equivalent to


(15)


J*

*:X


(15)


What are the various method of Loading?

A


(15)








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