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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

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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
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उत्तर

True

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

संबंधित प्रश्न

A person invested ₹ 5,000 every year in finance company that offered him interest compounded at 10% p.a., what is the amount accumulated after 4 years? [Given (1.1)4 = 1.4641]


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]


Find the rate of interest compounded annually if an annuity immediate at ₹20,000 per year amounts to ₹2,60,000 in 3 years.


Find the number of years for which an annuity of ₹500 is paid at the end of every year, if the accumulated amount works out to be ₹1,655 when interest is compounded annually at 10% p.a.


Find the present value of an annuity due of ₹ 600 to be paid quarterly at 32% p.a. compounded quarterly. [Given (1.08)−4 = 0.7350]


Choose the correct alternative :

Amount of money today which is equal to series of payments in future is called


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


Fill in the blank :

The payment of each single annuity is called __________.


Fill in the blank :

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


State whether the following is True or False:

Annuity certain begins on a fixed date and ends when an event happens.


State whether the following is True or False :

Annuity contingent begins and ends on certain fixed dates.


State whether the following is True or False :

Sinking fund is set aside at the beginning of a business.


Solve the following :

A shopkeeper insures his shop and godown valued at ₹5,00,000 and ₹10,00,000 respectively for 80 % of their values. If the rate of premium is 8 %, find the total annual premium.


Solve the following :

Find the present value of an annuity immediate of ₹20,000 per annum for 3 years at 10% p.a. compounded annually. [(1.1)–3 = 0.7513]


Solve the following :

A company decides to set aside a certain amount at the end of every year to create a sinking fund that should amount to ₹9,28,200 in 4 years at 10% p.a. Find the amount to be set aside every year. [(1.1)4 = 1.4641]


Solve the following :

Some machinery is expected to cost 25% more over its present cost of ₹6,96,000 after 20 years. The scrap value of the machinery will realize ₹1,50,000. What amount should be set aside at the end of every year at 5% p.a. compound interest for 20 years to replace the machinery? [Given (1.05)20= 2.653]


Multiple choice questions:

In an ordinary annuity, payments or receipts occur at ______


Multiple choice questions:  

In annuity calculations, the interest is usually taken as ______


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 ______


Multiple choice questions:

The present value of an immediate annuity of ₹ 10,000 paid each quarter for four quarters at 16% p.a. compounded quarterly is ______


In ordinary annuity, payments or receipts occur at ______


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 ______


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


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. [Given (1.03)20 = 1.8061]


A company decides to set aside a certain sum at the end of each year to create a sinking fund, which should amount to ₹ 4 lakhs in 4 years at 10% p.a. Find the amount to be set aside each year?
[Given (1.1)4 = 1.4641]


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