English
Tamil Nadu Board of Secondary EducationHSC Commerce Class 11

Find the amount of an ordinary annuity of ₹ 500 payable at the end of each year for 7 years at 7% per year compounded annually. [(1.07)7 = 1.6058] - Business Mathematics and Statistics

Advertisements
Advertisements

Question

Find the amount of an ordinary annuity of ₹ 500 payable at the end of each year for 7 years at 7% per year compounded annually. [(1.07)7 = 1.6058]

Sum

Solution

Given a = ₹ 500, i = 0.07, n = 7

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

= `500/0.07 [(1 + 0.07)^7 - 1]`

= `500/0.07 [(1.07)^7 - 1]`

= 7142.85 [1.6058 − 1]

= 7143 (6.6058)

= ₹ 4,327

shaalaa.com
Annuities
  Is there an error in this question or solution?
Chapter 7: Financial Mathematics - Miscellaneous Problems [Page 173]

APPEARS IN

Samacheer Kalvi Business Mathematics and Statistics [English] Class 11 TN Board
Chapter 7 Financial Mathematics
Miscellaneous Problems | Q 3. (i) | Page 173

RELATED QUESTIONS

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]


A bank pays 8% per annum interest compounded quarterly. Find the equal deposits to be made at the end of each quarter for 10 years to have ₹ 30,200? [(1.02)40 = 2.2080]


A person deposits ₹ 2,000 at the end of every month from his salary towards his contributory pension scheme. The same amount is credited by his employer also. If 8% rate of compound interest is paid, then find the maturity amount at end of 20 years of service. [(1.0067)240 = 4.9661]


Find the amount at the end of 12 years of an annuity of ₹ 5,000 payable at the beginning of each year, if the money is compounded at 10% per annum. [(1.1)12 = 3.1384]


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]


What is the amount of perpetual annuity of ₹ 50 at 5% compound interest per year?


Example of contingent annuity is ___________.


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]


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]


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]


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×