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R

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Souvik replied | 06/12/2016

Rs. 594.44 as monthly installment for 6 years.

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Rajesh replied | 07/12/2016

Rs. 49101.12.

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S

Soumya 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

Suppose that I am trying to borrow money from you to finance my business, and I promise to repay you Rs. 1,000 quarterly for two years. If your opportunity cost of funds is 10%, how much are you willing to lend me?

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Anurag replied | 06/12/2016

Rs. 1200.

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Saurabh replied | 08/12/2016

Rs. 7170.2.

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K

Kirti 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

Jim makes a deposit of Rs. 120 every week (beginning next week). The deposit is to earn interest annually at the rate of 9 percent. How much will Jim have on deposit at the end of seven years?

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S

Sandeep replied | 08/12/2016

Only science.

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Suprita replied | 08/12/2016

Rs. 47612 approx.

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D

Dev 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

What is the value a perpetuity of $400 per year (r = 14.9%)?

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Kumar replied | 21/11/2016

$ 459.60

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Rajendran replied | 24/11/2016

(400/14.9) * 100 = $ 2684.56.

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K

Karunanidhi 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

If you plan to save Rs. 300 annually for 10 years and the discount rate is 15%, what is the future value?

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Shambhavi replied | 07/12/2016

Formula to be used is:-
Present Value=Future Value/((1+r)^n), where r is discount rate and n in number of years.
So, Future value= 300 *((1+0.15)^10)+300 *((1+0.15)^9)+300 *((1+0.15)^8)+....+300 *((1+0.15)^1).

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Ankit replied | 09/12/2016

Formula to be used is:-
Present Value=Future Value/((1+r)^n), where r is discount rate and n in number of years.
So, Future value= 300 *((1+0.15)^10)+300 *((1+0.15)^9)+300 *((1+0.15)^8)+....+300 *((1+0.15)^1)

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M

Mohammad 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

If you want to buy a boat in 6 years that costs Rs. 1,000 and you can save Rs. 150 per year, what interest rate would you need?

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Khushbu replied | 01/12/2016

15%

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Ankit replied | 09/12/2016

15%

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A

Anand 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

If you invest Rs. 1,000 per year in a stock portfolio with a return of 8%, how much would you expect to have in 7 years?

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Dh replied | 01/12/2016

Investment per year = Rs. 1000
Return per year = 8%
Time period = 7 years
Here the case is of Investment yearly i.e., recurring investment yearly.
Hence need to use the Future value equation under annuities.
Future Value of annuity=> FV = P/ r * ((1 + r)^n - 1)
where, n = number of periods
r = rate of interest
P = periodic payment
FV = Rs. 8922.80

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N

Neeraj 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

How long would it take you to save Rs. 1,000 if you invested Rs. 200 per year, and the interest rate is 10%?

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Sarvajeet replied | 23/11/2016

50.

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Chilla Rajesh replied | 24/11/2016

4 years and 3 months.

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B

Balakumar 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

If you need Rs. 10,000 to pay for your first year of graduate school in 3 years and you get an interest rate of 9%, how much must you invest each of the next three years?

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Kundan replied | 07/12/2016

This problem is based on installment. Please tell the rate of interest charged is SI or CI.

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Ankit replied | 09/12/2016

Use SI=prt/100.

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P

Parna 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

If 6 years ago you invested Rs. 500 and received an interest rate of 4% (compounded monthly), how much would you now have?

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Veera replied | 12/12/2016

Rate = 4%= 0.04
Amount = 500
since compounded monthly = no of years x 12=6 x 12 = 72
total amount = 500 x(1+0.04)^72
Rs. 8421.131.

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S

Swati 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

You borrowed Rs. 100 from a friend, who said you need to pay back Rs. 300 in 5 years, what rate are you being charged if it is compounded weekly?

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Ankush replied | 25/11/2016

40%

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S

Shail 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

How many years would it take you to have Rs. 2,500 if you saved Rs. 100 each month at 15%?

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Ritwik replied | 04/12/2016

Principle for a month = Rs.100
Amount = SI+P= P(1+RT/100)=100(1+0.15T)
=>2500=100(1+0.15T)
=>25=1+0.15T
=>24=0.15T
=>T=160 months=13.3 yrs

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Ankit replied | 09/12/2016

Principle for a month = Rs.100
Amount = SI+P= P(1+RT/100)=100(1+0.15T)
=>2500=100(1+0.15T)
=>25=1+0.15T
=>24=0.15T
=>T=160 months=13.3 yrs

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R

Robin 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

To have Rs. 6000 in 7 years what interest rate would you need if you saved $200 every quarter?

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Jitender replied | 29/11/2016

1 Dollar = 68.67,
Now amount of one year = 200*4*68.67= Rs. 54936,
You have interest= 6000, Time =7 yr,
Now rate = 6000*100/54936*7= 1.5603 ans.

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Ankit replied | 09/12/2016

1 Dollar = 68.67,
Now amount of one year = 200*4*68.67= Rs. 54936,
You have interest= 6000, Time =7 yr,
Now rate = 6000*100/54936*7= 1.5603 ans.

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N

Navam 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

How long does it take for an investment to quadruple in value if the investment yields 6% per year (compounded monthly)?

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Rachna replied | 24/11/2016

23 years.
Use A/P = (1+ r/n)^nt
Where, A/P is 4.

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R

Rajeswary 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

How long will it take to repay a loan of Rs. 150, if I pay $1 per week and the rate on my loan is 4%?

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Rajapriya replied | 24/11/2016

210 weeks.

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Ankit replied | 09/12/2016

210 weeks.

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Answer

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S

Sribaghya 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

Value an annuity of Rs. 300 per month for 7 years (r = 12.3%).

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Nitish replied | 28/11/2016

Taking payment interval as annually, the present value of annuity is Rs. 1356. 20.

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S

Sunil 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

Suppose you have the opportunity to make an investment expects to pay investors Rs. 7,000 per year for next eight years. If the cost is Rs. 50,000, what return would you receive?

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Janpal Ghori replied | 04/12/2016

Rs. 6000.

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Ankit replied | 09/12/2016

Rs. 6000.

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A

Alimasi 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

If a two year weekly annuity is worth Rs. 5000 and r = 9.8%, what is the weekly cash flow?

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Josh replied | 08/12/2016

Rs.45 per week.

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Ankit replied | 09/12/2016

Rs. 8 K.

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U

User 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

If an investment is expected to pay Rs. 400 per month for the next 14 months, how much should you be willing to pay for that asset if your cost of capital is 8%?

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Suprita replied | 08/12/2016

Rs. 1512.

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R

Rishav 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

You have borrowed Rs. 35,000 at an interest rate of 9%. If you plan to pay the loan off in annual installments of Rs. 4,000 (beginning next year), when can you pay back the loan?

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Anushree replied | 29/11/2016

17.98 years.

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Dimple Aggarwal replied | 01/12/2016

18 years

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G

Geeta 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

The type of house you would like to buy requires a down-payment of Rs. 50,000. You plan to make that downpayment six years from now. How much do you need to save per week (beginning next week), if your money gets 7% (annually)?

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S

Sravani replied | 02/12/2016

Test

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Ankit replied | 09/12/2016

try

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H

Hardik 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

The house you plan to buy will require a downpayment of Rs. 40,000 in two years. How much do you need to save per month (beginning next month), if your savings gets 8% (annually)?

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Suprita replied | 08/12/2016

Rs. 1437 approx.

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D

Darshan 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

If a perpetuity is worth Rs 1,000 and r = 15.5%, what is the cash flow?

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A

Abhishek replied | 02/12/2016

1000/.155 = Rs. 6451.61.

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Ankit replied | 09/12/2016

1000/.155 = Rs. 6451.61.

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T

Tripti 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

If I invest Rs. 100 today and every quarter for 3 years in an account earning 11%, how much will I have at the end of three years?

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N

Natarajan 12/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Annuities

Value an annuity of Rs.40 per year for ten years (r = 13%).

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