Q2.What is a recurring deposit ?
I am 12 years old . I want to start a recurring deposit of Rs.1000 in a bank.The interest rate is 8% per annum compounded quarterly. How much will I get after 5 years?
Recurring Deposits are a special kind of Term Deposits offered by banks which help people with regular incomes to deposit a fixed amount every month into their Recurring Deposit account. It is similar to making FDs of a certain amount in monthly installments.
Maturity Value = P*((1+R)^N-1)/(1-(1+R)^(-1/3) )
Amount invested each month, P = Rs. 1000
Rate of interest ,R = 8%
Compounded Quarterly ,therefore rate of interest would be
R = 8% ÷4 = 8/400 = 0.02
Number of quarters over the duration of 5 years,
N = (5 X 12 months) ÷ 3 = 20 quarters.
Maturity Value=1000 * ((1 + 0.02 )^20 -1) / (1- (1 + 0.02)^(-1/3))
For Ms Excel type = 1000 * ((1+ 0.02)^20-1)/(1-(1+0.02)^(-1/3))
When you press the enter key you will get
Maturity value= Rs. 73861.87
Q3.What is inflation? My family’s expense is Rs.10,000 or $10,000 per month. At the inflation rate of 2% , how much will be the purchasing power of this amount after 10 years?
Inflation is defined as a sustained increase in the general level of prices for goods and services. It is measured as an annual percentage increase. With the rise in inflation , every dollar or rupee you own will buy a smaller percentage of goods or services.
The value of a rupee or dollar does not stay constant when there is inflation. The value of a rupee or dollar is observed in terms of purchasing power, which is the tangible goods that money can buy. The purchasing power of money goes down with increase in inflation.
For example, if the inflation rate is 3% annually, then theoretically a $1 or Re.1 chocolate will cost $1.03 or Re.1.03 in a year. After inflation, your rupee or dollar can’t buy the same goods it could beforehand.
Reduced Amount = Present Amount / (1+ inflation rate) ^ Number of years
= 10000/(1+2%) ^ 10
= Rs 8203 or $8203