CUET Mathematics: Statistics & ApplicationsFinancial Math. Free, no login required.

The Periodic payment of ₹ R, in a sinking fund required to accumulate a sum of ₹ A over $n$ periods with interest charged at a rate $i$ per period per rupee is

The price at which the bond is sold to the investors at the time of issue is known as:

Ankur takes a personal loan of ₹ 3,00,000 at the rate of 12% per annum for two years. His EMI using a flat rate method will be:

Which of the following statements are true about the sinking fund ?

A. In the sinking fund, a fixed amount at regular intervals is deposited.

B. Sinking fund can be used in an emergency.

C. In the sinking fund, any amount, anytime, can be deposited.

D. Sinking fund can be used only for the purpose it was created.

Choose the correct answer from the options given below:

The present value of a perpetuity of ₹ 900 payable at the end of each year, if money is worth 6 % per annum, is:

In 2001, a vehicle was purchased for ₹ 2 Lakh. In 2011, the scrap value of the vehicle became ₹ 50,000. What was the annual depreciation?

A man wants to get ₹10,000 forever at the beginning of each quarter, if the money is worth 8% per annum compounded quarterly, then the money he needed to invest now is

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

[YTM = yield to maturity]

Shyamaji takes a loan of ₹20,00,000 with 10% annual interest rate for 10 years. What will be her EMI under flat rate system?

Scrap value of a machine is one-tenth of its actual cost. If the estimated life of the machine is ten years and the annual depreciation under linear method is ₹45000, then the cost of the machine is

The fomula for calculating compound annual growth rate of an investment is:

[F.V = final value of the investment, P.V = starting value of the investment, n = investment period]

Which of the following is correct about the sinking fund?

Amayra takes a loan of ₹5,00,000 at an interest of 10% per annum for a period of three years. The equated monthly installment (EMI) by using flat rate method, she has to pay is:

Match the LIST-I with LIST-II

Choose the correct answer from the options given below:

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:

An electric bike costs ₹42,000 and has a useful life of 10 years. If annual depriciation is ₹3,000, then the scrap value by using linear method of depriciation is:

Match the LIST-I with LIST-II

Choose the correct answer from the options given below:

A sinking fund is created for the redemption of debentures of ₹2,00,000 at the end of 25 years. How much money should be provided out of profits each year for the sinking fund, if investment can earn interest 5% per annum? [Given $(1.05)^{25}\approx3.4$]

Ram invested ₹10,000 in a stock of a company for 6 years. The value of his investment at the end of each year is given below:

Then CAGR % of his investment is:

(Given $(1.4)^{1/6}=1.058$)

A person has an initial investment of ₹50,000 in an investment plan. After 2 years, it has grown to ₹60,000, then his rate of return is:

Which of the following are correct?

(A) Sinking fund is a fixed term account.

(B) Sinking fund is set-up for a particular upcoming expense.

(C) In sinking fund any amount, any time can be deposited.

(D) Sinking fund can be used only for the purpose it was created.

Choose the correct answer from the options given below:

Ram takes a loan of ₹5,00,000 from a bank at an interest rate of 6% per annum for 10 years. He wants to pay back the loan in equated monthly installments, then his EMI by using flat rate method is :

A machine costing ₹55,000 is expected to have a useful life of 10 years and a final scrap value of ₹5,000. The annual depreciation charge using the straight line method is :

Factors affecting the calculation of the annual depreciation of an asset are

A. Body shape of the asset

B. Original cost of the asset

C. Scrap value of the asset

D. Useful life of the asset

Choose the correct answer from the options given below:

Match the LIST-I with LIST-II

Choose the correct answer from the options given below:

Harish invested ₹ 40,000 in a no-fee fund. After one year, the value of the fund rose to ₹ 60,000 then the nominal rate of return on the investment is

Let us denotes R=Periodic payment,i=interest per period per rupee ,n=number of payment,P=pricipal payment

Match the terms in List I with their respective formula in List II.

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Which of the following are the true?

A. The cost of Rs.7200 , 8% stock at Rs.90 is Rs.6480.

B. The cost of Rs.4500 , 8.5% stock at 4% premium is Rs.4680.

C. The cost of Rs.6400 , 10% stock at 15% discount is Rs.5440.

D. The cost of Rs.7200 , 8% stock at Rs.90 is Rs.5961.60.

Choose the correct answer from the options given below:

Chintan has borrowed ₹ 5,00,000 from a bank to purchase a car and decided to repay the loan in equal monthly installments in 10 years. If bank charges interest at 6% per annum compounded monthly, the EMI on reducing balance method will be : (Given $(1.005)^{120} = 1.82$)

The supply function for a commodity is $p = 3\sqrt{16+x}$. If 9 units of goods are sold, then producer's surplus is :