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

A money-lender charges interest at the rate of 10 rupees per 110 rupees semi-annually, payable in advance. Then

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Meesha takes a loan of ₹ 3,00,000 at an interest of 8% annually for a period of n years. If her monthly EMI using flat rate method is ₹ 7,000, then the number of installments:

A company has issued a bond of face value ₹ 90,000 carrying an annual dividend of 7% and maturing in 15 years. If the prevailing market rate of interest is 9% , the value of bond redeemed at par is: (given $(1.09)^{-15} \approx 0.3$)

Consider an investment of ₹ 15,000 whose annual values are given below:

then the CAGR % is: (given $(1.386)^{1/3} = 1.115$)

The present value of a sequence of payment of ₹ 1500 made at the end of every 6 months and continuing forever, if money is worth 4% per annum compound semi-annually is

An asset costing ₹ 1,50,000 is expected to have useful life of 5 years and scrap value of ₹ 30,000. Using linear depreciation method which of the following are TRUE?

A. Annual depreciation is ₹ 24,000

B. Depreciation rate is 20% per annum

C. Depreciation rate is 24% per annum

D. Annual depreciation is ₹ 22,000

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Let $r_e$ denote the effective rate corresponding to the nominal rate r, compounded m times in a year. Let P be the principal and rate per conversion period is $i=\frac{r}{m}$, then effective rate of interest is:

Mohan wishes to purchase a house for ₹10,000,000 with a down payment of ₹20,00,00.00. If he pays the balance amount in 25 years by equal monthly instalment at 9% compounded monthly, then the total interest paid by Mohan is:

[Use $(1.0075)^{300} = 9.4084$]

Which of the following are true about sinking fund?

(A) Sinking fund is a fixed term account.

(B) A fixed amount is deposited at pre defined regular intervals.

(C) Sinking fund can be used in any emergency.

(D) It is setup for a particular upcoming expense.

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At what rate of interest will the present value of a perpetuity of ₹10000 payable at the end of every six months be ₹200,000?

A person invested ₹2,00,000 in a mutual fund in year 2012. The value of the mutual fund increased to ₹3,00,000 in year 2017. The percentage of compound annual growth rate on the investment is:

(Given: $(1.5)^{1/5} = 1.084$)

A washing machine costing ₹40000 has an estimated useful life of 4 years and a scrap value of ₹5000. The depreciation rate percentage is:

Which of the given statements are true?

(A) Coupon rate is the annual interest rate paid by the bond issuer to the bond holder.

(B) Bonds can only be issued by government entities.

(C) A sinking fund is a fixed term account.

(D) If discount rate = coupon rate for a bond, then present value of the bond= face value of the bond

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

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

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A vehicle costing ₹9,00,000 has a scrap value of ₹3,60,000. If the annual depreciation charge is ₹60,000, then the useful life of the vehicle using linear depreciation method is:

Jyotsna buys a car for which she makes a down payment of ₹3,50,000 and the balance is to be paid in 3 years by monthly installments of ₹34,000 each. If the financer charges interest at the rate of 12% per annum and uses flat rate method, then the original price of the car is :

What amount is received at the end of every 6 months forever, if ₹72,000 kept in a bank earns 8% per annum compounded half-yearly?

Mr. Bean wishes to purchase a house for ₹90,00,000 with a down payment of ₹10,00,000 and balance in EMI for 25 years on reducing balance payment basis. If bank charges 6% per annum compounded monthly, then his EMI is;

(Use $(1.005)^{300} = 4.4650$)

Renu takes a loan of ₹12,00,000 with 12% annual interest for 10 years on flat rate basis..

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Taniya purchased a car costing ₹21,00,000 which has a useful life of 15 years. The estimated scrap value of the car is ₹3,00,000. The annual depreciation using straight line method is:

The present value of a perpetuity of ₹5,000 payable at the beginning of each year, if the money is worth 8% effective is

Geetansh invested ₹27,000 and it grows to ₹81,000 in 2 years. The CAGR % will be:

Which of the following pointers are the characteristics of sinking fund?

A. It is a long term account which can be closed any time.

B. It is set up for a particular upcoming expense.

C. It can be used in any emergency.

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

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For the nominal rate of 18 % p.a.

[given that : $(1.09)^2 = 1.1881, (1.045)^4 = 1.1925, (1.015)^{12} = 1.1956$]

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A bike costs ₹85,000 and has a useful life of 15 years. If the scrap value of the bike after 15 years is ₹10,000, then the book value of the bike at the end of the tenth year is

A person invested ₹5,00,000 in a fund. At the end of the year, the value of the fund is ₹6,50,000. The nominal rate of return, if the market price is the same at the end of the year is:

A bond is not characterized by which of the following terms?

(A) Face value

(B) Coupon rate

(C) Redemption price

(D) Equated monthly installment.

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Ravi borrowed ₹15,00,000 from a bank to purchase a plot and decided to repay the loan in equal monthly installments (EMI) in 10 years. If bank charges interest at 10% per annum, then EMI using a flat rate method is

The present value of a sequence of payments of ₹3000 made at the end of every 6 months and continuing forever, if money is worth 9% per annum compounded semi-annually, is