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State whether the following statement is True or False: The future value of an annuity is the accumulated values of all instalments - Mathematics and Statistics

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प्रश्न

State whether the following statement is True or False:

The future value of an annuity is the accumulated values of all instalments

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

True

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Annuity
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2.2: Insurance and Annuity - Q.2

संबंधित प्रश्न

Find the present value of an ordinary annuity of ₹63,000 p.a. for 4 years at 14% p.a. compounded annually. [Given (1.14)−4 = 0.5921]


A lady plans to save for her daughter’s marriage. She wishes to accumulate a sum of ₹4,64,100 at the end of 4 years. What amount should she invest every year if she gets an interest of 10% p.a. compounded annually? [Given (1.1)4 = 1.4641]


Find the accumulated value of annuity due of ₹1,000 p.a. for 3 years at 10% p.a. compounded annually. [Given (1.1)3 = 1.331]


In an ordinary annuity, payments or receipts occur at ______. 


______ is a series of constant cash flows over a limited period of time.


Choose the correct alternative :

A retirement annuity is particularly attractive to someone who has


Fill in the blank :

The intervening time between payment of two successive installments is called as ___________.


Fill in the blank :

If payments of an annuity fall due at the end of every period, the series is called annuity __________.


State whether the following is True or False :

The present value of an annuity is the sum of the present value of all installments.


State whether the following is True or False :

The future value of an annuity is the accumulated values of all installments.


Solve the following :

Find the amount of an ordinary annuity if a payment of ₹500 is made at the end of every quarter for 5 years at the rate of 12% per annum compounded quarterly. [(1.03)20 = 1.8061]


Solve the following :

Find the rate of interest compounded annually if an ordinary annuity of ₹20,000 per year amounts to ₹41,000 in 2 years.


Multiple choice questions:

If for an immediate annuity r = 10% p.a., P = ₹ 12,679.46 and A = ₹ 18,564, then the amount of each annuity paid is ______


State whether the following statement is True or False:

A sinking fund is a fund established by financial organization


In ordinary annuity, payments or receipts occur at ______


An annuity in which each payment is made at the end of period is called ______


The future amount, A = ₹ 10,00,000

Period, n = 20, r = 5%, (1.025)20 = 1.675

A = `"C"/"I" [(1 + "i")^"n" - 1]`

I = `5/200` = `square` as interest is calculated semi-annually

A = 10,00,000 = `"C"/"I" [(1 + "i")^"n" - 1]`

10,00,000 = `"C"/0.025 [(1 + 0.025)^square - 1]`

= `"C"/0.025 [1.675 - 1]`

10,00,000 = `("C" xx 0.675)/0.025`

C = ₹ `square`


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