हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी वाणिज्य कक्षा ११

Find the amount of annuity of ₹ 2000 payable at the end of each year for 4 years of money is worth 10% compounded annually. [(1.1)4 = 1.4641]

Advertisements
Advertisements

प्रश्न

Find the amount of annuity of ₹ 2000 payable at the end of each year for 4 years of money is worth 10% compounded annually. [(1.1)4 = 1.4641]

योग
Advertisements

उत्तर

Given a = ₹ 2000

i = 10% = 0.1

n = 4

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

= `2000/0.1 [1 + 0.1]^4 - 1`

= `2000/0.1 [(1.1)^4 - 1]`

= 20,000 [1.4641 − 1] ........[∵ (1.1)4 = 1.4641]

= 20,000 (0.4641)

A = ₹ 9,282

shaalaa.com
Annuities
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Financial Mathematics - Miscellaneous Problems [पृष्ठ १७३]

APPEARS IN

सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
अध्याय 7 Financial Mathematics
Miscellaneous Problems | Q 1 | पृष्ठ १७३

संबंधित प्रश्न

Find the amount of an ordinary annuity of ₹ 3,200 per annum for 12 years at the rate of interest of 10% per year. [(1.1)12 = 3.1384]


Find the amount of an ordinary annuity of 12 monthly payments of ₹ 1,500 that earns interest at 12% per annum compounded monthly. [(1.01)12 = 1.1262]


Find the present value of ₹ 2,000 per annum for 14 years at the rate of interest of 10% per annum. If the payments are made at the end of each payment period. [(1.1)–14 = 0.2632]


What is the present value of an annuity due of ₹ 1,500 for 16 years at 8% per annum? What is the present value of an annuity due of ₹ 1,500 for 16 years at 8% per annum? [(1.08)16 = 3.172]


Example of contingent annuity is ___________.


Calculate the amount of an ordinary annuity of ₹ 10,000 payable at the end of each half-year for 5 years at 10% per year compounded half-yearly. [(1.05)10 = 1.6289]


Find the amount of an ordinary annuity of ₹ 600 is made at the end of every quarter for 10 years at the rate of 4% per year compounded quarterly. [(1.01)40 = 1.4889]


Find the amount of an annuity of ₹ 2000 payable at the end of every month for 5 years if money is worth 6% per annum compounded monthly. [(1.005)60 = 1.3489]


Naveen deposits ₹ 250 at the end of each month in an account that pays an interest of 6% per annum compounded monthly, how many months will be required for the deposit to amount to at least ₹ 6390? [log(1.1278) = 0.0523, log(1.005) = 0.0022]


A cash prize of ₹ 1,500 is given to the student standing first in examination of Business Mathematics by a person every year. Find out the sum that the person has to deposit to meet this expense. Rate of interest is 12% p.a.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×