Advertisements
Advertisements
प्रश्न
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]
उत्तर
Here a = 1,500, n = 1 year, and i = `12/100`
`"i"/"k" = (12/100)/12 = 1/100` = 0.01
A = `"a"/("i"/"k") [(1 + "i"/"k")^("nk") - 1]`
= `1500/0.01 [(1 + 0.01)^(1 xx 12) - 1]`
= `150000/1 [(1 + 0.01)^(1 xx 12) - 1]`
= 150000 [(1.01)12 – 1]
= 150000 [1.1262 – 1] ............[∵ (1.01)12 = 1.1262]
= 150000 [0.1262]
= ₹ 18,930
APPEARS IN
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]
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]
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]
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]
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 ₹ 500 payable at the end of each year for 7 years at 7% per year compounded annually. [(1.07)7 = 1.6058]
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.
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]
