Advertisements
Advertisements
प्रश्न
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]
Advertisements
उत्तर
P = `"a"/("i"/2) [1 - 1/(1 + "i"/2)^(2 xx 6)]`
= `(900 xx 2)/(8/100) [1 - 1/(1 + (8//100)/2)^12]`
= `(900 xx 2 xx 100)/8 [1 - (1 + 0.04)^(-12)]`
= 900 × 25 [1 − (1.04)−12]
= 22500 [1 − 0.6252]
= 22500 × 0.3748
= ₹ 8,433
APPEARS IN
संबंधित प्रश्न
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]
What is the present value of an annuity due of ₹ 1,500 for 16 years at 8% per annum? What is the present value of an annuity due of ₹ 1,500 for 16 years at 8% per annum? [(1.08)16 = 3.172]
What is the amount of perpetual annuity of ₹ 50 at 5% compound interest per year?
The present value of the perpetual annuity of ₹ 2000 paid monthly at 10% compound interest is ___________.
Example of contingent annuity is ___________.
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]
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]
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]
