#### Financial Mathematics Model Question Paper

11th Standard

Reg.No. :
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Time : 01:00:00 Hrs
Total Marks : 50
5 x 1 = 5
1. A person brought a 9% stock of face value Rs 100, for 100 shares at a discount of 10%, then the stock purchased is

(a)

Rs 9000

(b)

Rs 6000

(c)

Rs 5000

(d)

Rs 4000

2. The Income on 7 % stock at 80 is

(a)

9%

(b)

8.75%

(c)

8%

(d)

7%

3. A invested some money in 10% stock at 96. If B wants to invest in an equally good 12% stock, he must purchase a stock worth of

(a)

Rs 80

(b)

Rs 115.20

(c)

Rs 120

(d)

Rs 125.40

4. The present value of the perpetual annuity of Rs 2000 paid monthly at 10 % compound interest is

(a)

Rs 2,40,000

(b)

Rs 6,00,000

(c)

20,40,000

(d)

Rs 2,00,400

5. Example of contingent annuity is

(a)

(b)

An endowment fund to give scholarships to a student

(c)

Personal loan from a bank

(d)

All the above

6. 5 x 2 = 10
7. If the dividend received from 10% of Rs 25 shares is Rs 2000. Find the number of shares.

8. Find the number of shares which will give an annual income of Rs 3,600 from 12% stock of face value Rs 100.

9. Find the market value of 62 shares available at Rs 132 having the par value of Rs 100.

10. Which is better investment? 7% of Rs 100 shares at Rs 120 (or) 8% of Rs 100 shares at Rs 135.

11. A cash prize of Rs 1,500 is given to the student standing first in examination of Business Mathematics by a person every year. Find out the sum that the person has to deposit to meet this expense. Rate of interest is 12% p.a

12. 5 x 3 = 15
13. A person pays Rs 64,000 per annum for 12 years at the rate of 10% per year. Find the annuity [(1.1)12 = 3.3184]

14. What amount should be deposited annually so that after 16 years a person receives Rs 1,67,160 if the interest rate is 15% [(1.15)16 = 9.358]

15. The age of the daughter is 2 years. Her father wants to get Rs 20,00,000 when his ward becomes 22 years He opens an account with a bank at 10% rate of compound interest. What amount should he deposit at the end of every month in this recurring account [(1.0083)240 = 6.194].

16. Find the present value of an annuity of Rs 900 payable at the end of 6 months for 6 years. The money compounded at 8% per annum. [(1.04)–12 = 0.6252 ]

17. Find the amount at the end of 12 years of an annuity of Rs 5,000 payable at the beginning of each year, if the money is compounded at 10% per annum.

18. 4 x 5 = 20
19. A man sells 2000 ordinary shares (par value Rs 10) of a tea company which pays a dividend of 25% at Rs 33 per share. He invests the proceeds in cotton textiles (par value Rs 25) ordinary shares at `44 per share which pays a dividend of 15%. Find
(i) the number of cotton textiles shares purchased and
(ii) change in his dividend income.

20. The capital of a company is made up of 50,000 preferences shares with a dividend of 16% and 2,500 ordinary shares. The par value of each of preference and ordinary shares is Rs 10. The company had a total profit of Rs. 1,60,000. If Rs 20,000 were kept in reserve and Rs 10,000 in depreciation, what percent of dividend is paid to the ordinary share holders

21. A man, deposits Rs.75 at the end of 6 months in a bank which pays interest at 8% compounded semiannually. How much is to his credit at the end of 10 years?

22. A company has a total capital of Rs.5,00,000 divide into 1000 preference shares of 6% dividend with par value RS.100 each and 4000 ordinary shares of per value Rs.100 each. The company delares an annual dividend of Rs.40,000. Find the dividend received by Sundar having 100 preference shares and 200 ordinary shares.