Advertisements
Advertisements
Question
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]
Advertisements
Solution
Here a = 2,000, n = 10 years, and `"i"/"k" = (8/100)/4 = 2/100` = 0.02
A = `"a"/("i"/"k") [(1 + "i"/"k")^("nk") - 1]`
= `200/0.2 [(1 + 0.02)^(10 xx 4) - 1]`
= `200000/2 [(1 + 0.02)^40 - 1]`
= 100000 [2.2080 – 1] .........[∵ (1.02)40 = 2.2080]
= 100000 [1.2080]
= ₹ 1,20,800
APPEARS IN
RELATED QUESTIONS
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 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]
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
The present value of the perpetual annuity of ₹ 2000 paid monthly at 10% compound interest is ___________.
Example of contingent annuity is ___________.
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]
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]
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]
