00:01
Hi, from the question given that lydia purchased a $100000 150 days t -bill when prevailing yield on t -bills was 4 .5%.
00:16
So, lydia purchased amount will be $100000 and the rate of interest r will be 4 .5 % for the number of days will be t is equal to 150 day divided by 365 and she sold the t -bill 60 days later when the prevailing yield was 4 .2%.
00:52
So if she sold after 60 days, so that could be equal to 150 minus 60 which is equal to 90 days.
01:02
So in 90 days, the rate of interest will be 4 .2 % and time period t is equal to 90 by 365.
01:14
So first original price, purchase price.
01:21
So purchase price will be equal to total amount divided by 1 plus rt.
01:27
So that is equal to 100000 divided by 1 plus rt.
01:36
Of interest is 0 .045.
01:41
So 0 .045 times time period is 150 divided by 365.
01:51
So for further simplification, we obtain 98184 .2636.
01:59
Now the selling price after 60 days, so that is equal to 100000 divided by 1 plus now the rate of interest is 4 .2 % is so 0 .042 times after 60 days, it will be 90 by 365...