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

If the payment of ₹ 2,000 is made at the end of every quarter for 10 years at the rate of 8% per year, then find the amount of annuity. [(1.02)40 = 2.2080]


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]


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


If ‘a’ is the annual payment, ‘n’ is the number of periods and ‘i’ is compound interest for ₹ 1 then future amount of the ordinary annuity is


An annuity in which payments are made at the beginning of each payment period is called ___________.


An equipment is purchased on an installment basis such that ₹ 5000 on the signing of the contract and four-yearly installments of ₹ 3000 each payable at the end of first, second, third and the fourth year. If the interest is charged at 5% p.a find the cash down price. [(1.05)–4 = 0.8227]


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]


Machine A costs ₹ 15,000 and machine B costs ₹ 20,000. The annual income from A and B are ₹ 4,000 and ₹ 7,000 respectively. Machine A has a life of 4 years and B has a life of 7 years. Find which machine may be purchased. (Assume discount rate 8% p.a) [(1.08)–4 = 0.7350, (1.08)–7 = 0.5835]


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×