मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी वाणिज्य इयत्ता ११

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]

Advertisements
Advertisements

प्रश्न

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]

बेरीज
Advertisements

उत्तर

Given a = ₹ 2000, i = `6/12%` = 0.5% = 0.005, n = 5 × 12 = 60

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

= `2000/0.005 [(1 + 0.005)^60 - 1]`

= `2000/0.005 [(1.005)^60 - 1]`

= 4,00,000 [1.3489 − 1]

= 4,00,000 (0.3489)

= ₹ 1,39,560

shaalaa.com
Annuities
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Financial Mathematics - Miscellaneous Problems [पृष्ठ १७३]

APPEARS IN

सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
पाठ 7 Financial Mathematics
Miscellaneous Problems | Q 3. (iv) | 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 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 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


Example of contingent annuity is ___________.


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]


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]


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]


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×