00:01
Hi, from the question given that at what nominal annual rate of interest will money double itself in 5 years 6 month if compounded semi -annually? so, here let p be the principal and amount received will be 2p.
00:30
Since it is given that money double itself in 5 years.
00:34
So, here t is equal to 5 years 6 month.
00:43
So, t is equal to 11 by 2 years and it is compounded semi -annually.
00:54
So, n is equal to 2 and rate of interest r is equal to let it be r percent.
00:59
So, amount received in future will be a is equal to p times of 1 plus r by n the whole power nt.
01:07
So, here we need to calculate the nominal annual rate of interest for money to double itself in 5 years 6 month.
01:16
So, here a is 2p which is equal to p times of 1 plus r divided by n is 2 the whole power n is 2 times of 11 by 2.
01:30
So, this and this will get cancelled this p and this p will get cancelled.
01:34
So, we have 2 is equal to 1 plus r by 2 the whole power 11...