English

State whether the following statement is True or False: The relation between accumulated value ‘A’ and present value ‘P’ is A = P(1+ i)n

Advertisements
Advertisements

Question

State whether the following statement is True or False:

The relation between accumulated value ‘A’ and present value ‘P’ is A = P(1+ i)n 

Options

  • True

  • False

MCQ
True or False
Advertisements

Solution

True

shaalaa.com
Annuity
  Is there an error in this question or solution?
Chapter 2.2: Insurance and Annuity - Q.2

RELATED QUESTIONS

Find the accumulated (future) value of annuity of ₹ 800 for 3 years at interest rate 8% compounded annually. [Given (1.08)3 = 1.2597]


Find the amount accumulated after 2 years if a sum of ₹ 24,000 is invested every six months at 12% p.a. compounded half yearly. [Given (1.06)4 = 1.2625]


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 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]


A person sets up a sinking fund in order to have ₹ 1,00,000 after 10 years. What amount should be deposited bi-annually in the account that pays him 5% p.a. compounded semi-annually? [Given (1.025)20 = 1.675]


Choose the correct alternative :

You get payments of ₹8,000 at the beginning of each year for five years at 6%, what is the value of this annuity?


Choose the correct alternative :

Rental payment for an apartment is an example of


______ 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 person who receives annuity is called __________.


State whether the following is True or False :

Payment of every annuity is called an installment.


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 :

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.


State whether the following is True or False :

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


Solve the following :

Find the least number of years for which an annuity of ₹3,000 per annum must run in order that its amount exceeds ₹60,000 at 10% compounded annually. [(1.1)11 = 2.8531, (1.1)12 = 3.1384]


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.


Solve the following :

A man borrowed some money and paid back in 3 equal installments of ₹2,160 each. What amount did he borrow if the rate of interest was 20% per annum compounded annually? Also find the total interest charged. [(1.2)3 = 0.5787]


Solve the following :

Find the future value after 2 years if an amount of ₹12,000 is invested at the end of every half year at 12% p. a. compounded half yearly. [(1.06)4 = 1.2625]


Solve the following :

After how many years would an annuity due of ₹3,000 p.a. accumulated ₹19,324.80 at 20% p. a. compounded yearly? [Given (1.2)4 = 2.0736]


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 annuity calculations, the interest is usually taken as ______


State whether the following statement is True or False:

An annuity where payments continue forever is called perpetuity


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


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


For annuity due,

C = ₹ 20,000, n = 3, I = 0.1, (1.1)–3 = 0.7513

Therefore, P = `square/0.1 xx [1 - (1 + 0.1)^square]`

= 2,00,000 [1 – 0.7513]

= ₹ `square`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×