A Multinational company creates a sinking fund by setting a sum of ₹ $12,000$ annually for $10$ years to pay off a bond issue of ₹ $72,000$. If the fund accumulates at $5 \%$ per annum compound interest, then the surplus after paying for bond is :

(Use $\left.(1.05)^{10} \approx 1.6\right)$

In reference to the financial mathematics, which of the following statements are correct?

A. Sinking fund is an annuity created for accumulating money that can be used for paying off a financial obligation at some future pre-decided date.

B. The compound annual growth rate (CAGR) is calculated by dividing the cumulative return by the number of years.

C. The average annual growth rate (AAGR) is linear measure that does not account for the effects of compounding.

D. Sinking fund is created to deposit surplus money which can be used for any future need.

Choose the correct answer from the options given below:

A car whose cost is ₹9,00,000 will depreciate to a scrap value of ₹1,20,000 in 12 years. Which of the following statements are correct ?

(A) The annual depreciation is ₹65,000

(B) The book value of the car at the end of the fourth year is ₹6,40,000

(C) The book value of the car at the end of the sixth year is ₹5,00,000

(D) The book value of the car at the end of the fifth year is ₹5,75,000

Choose the correct answer from the options given below:

A bond sells at discount. Which of the following is feasible?

[YTM = yield to maturity]

Match the LIST-I with LIST-II

LIST-I	LIST-II
A. The present value of a perpetuity of ₹3120 payable at the beginning of each year, if money is worth 6% effective.	I. ₹2,00,000
B. The present value of a perpetuity of ₹5,000 payable at the end of each year, if money is worth 5% compounded annually	II. ₹1,50,000
C. The present value of a sequence of payments of ₹3,000 payable at the end of each 6 months and continuing forever, if money is worth 4% compounded semi-annually.	III. ₹1,00,000
D. The present value of a perpetuity of ₹3,000 payable at the end of each quarter, if money is worth 6% compounded quarterly	IV. ₹55,120

Choose the correct answer from the options given below:

Mr. X wishes to purchase a flat for Rs. 44,65,000 with a down payment of Rs. 10,00,000 and balance in equated monthly installments (EMI) for 25 years. If the bank charges 6 % per annum compounded monthly, the EMI is:

[Given: $(1.005)^{300} =4.4650$]

Vishal invested ₹20,000 in Tata stocks for 6 years. The value of the investment at the end of each year is given below:

Year 1	Year 2	Year 3	Year 4	Year 5	Year 6
₹20,000	₹23,500	₹24,000	₹24,800	₹25,000	₹28,000

The CAGR % of his investment is: [use $(1.4)^{1/6}=1.058$]