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.

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Which of the following are correct about equated monthly installments (EMI)?

(A) The EMI depends on principal borrowed, rate of interest and tenure of the loan.

(B) It is a fixed amount made by borrower to the lender every month.

(C) The interest remains constant for every EMI in reducing balance method.

(D) As we pay off our loan, the outstanding principal amount decreases with every EMI in reducing balance method.

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A charity organization has a fund of Rs.2,00000 to provide annual grants to students. The grant amount each year is Rs.15,000. The fund earns an interest rate of r% per annum. If the interest earned is used entirely to provide the grants, then the annual interest rate r is:

Which of the following is correct about the Sinking Fund?

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

The term of the perpetuity is

Match List-I with List-II

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