<PRE><B>Question 798532</B>
1) Interest after 1 year = 50000*.09 = 4500
2nd period 8 months; pro rata {{{8/12 }}} of 9% is 6%
6% of 54500 is  3270
Total interest is 7770
Total 57770


2) rate for 2 years compounded annually is {{{1.2^2 = 1.44 }}}
If compounded 6 monthly there are 4 intervals 
6 monthly rate R
For same Rate {{{ 1.44 = ( 1 + R/100)^4 }}}
Then {{{ 1.44^0.25 = 1 + R/100 }}}
Rearrange {{{ R = (1.44^0.25 - 1) * 100 }}}
= (1.0954 -1 ) * 100
= 9.54 % each interval
Check {{{1.0954^4 = 1.44}}}</PRE>