00:01
Hi, in the given question we have to find a value of annual rate.
00:05
We have given the future value denoted by fv, which is $1 ,871 .371 .00.
00:14
Then we have given the present value denoted by pv, which is $1 ,882.
00:22
We have given the formula for future value which is equals to present value into e -rest -to -the -power -r -d.
00:29
We have given the time period p is equal to 19 years.
00:35
Let's denote this equation from both sides by pv.
00:39
Therefore we have future value upon present value is equal to present value into e to the power rt upon present value, which gives us future value upon present value is equal to e to the power rt.
00:56
Now by taking the log from both the side we get log of future value upon present value is equal to log of e to the power rt which gives us log of future value upon present value is equal to rt into log of.
01:28
Since we know that the logarithmic rule, that is, log of a to the power m is equal to m into log of a.
01:38
And we know that the value of log e is equal to 1.
01:42
Therefore we have the value of given equation is log of future value upon present value is equal to rt...