Advertisements
Advertisements
प्रश्न
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]
Advertisements
उत्तर
Given a = ₹ 10,000, i = `10/2%` = 5% = 0.05, n = 5 × 2 = 10
P = `"a"/"i" [(1 + "i")^"n" - 1]`
= `10000/0.05 [(1 + 0.05)^10 - 1]`
= `10000/0.05 [(1.05)^10 - 1]`
= 2,00,000 [1.6289 − 1]
= 2,00,000 (0.6289)
= ₹ 1,25,780
APPEARS IN
संबंधित 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]
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
An annuity in which payments are made at the beginning of each payment period is called ___________.
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 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]
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.
