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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 ____________. - Business Mathematics and Statistics

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प्रश्न

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

विकल्प

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

  • A = `"a"/"i" [(1 + "i")^"n" - 1]`

  • P = `"a"/"i"`

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

MCQ
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उत्तर

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

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Financial Mathematics - Exercise 7.3 [पृष्ठ १७२]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
अध्याय 7 Financial Mathematics
Exercise 7.3 | Q 11 | पृष्ठ १७२

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 present value of an annuity of ₹ 900 payable at the end of 6th month for 6 years. The money compounded at 8% per annum. [(1.04)–12 = 0.6252]


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]


₹ 5000 is paid as perpetual annuity every year and the rate of C.I. 10%. Then present value P of immediate annuity is __________.


The present value of the perpetual annuity of ₹ 2000 paid monthly at 10% compound interest 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 ₹ 500 payable at the end of each year for 7 years at 7% per year compounded annually. [(1.07)7 = 1.6058]


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]


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]


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