document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=947754>Question 947754</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How can I find the APY for an APR of 6.7% that is compounded continuously?\r<BR>\n" );
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document.write( "I know that yearly it is 6.7, semi-annually it is 6.81 and monthly it is 6.91 but I cannot figure out how to do the continuous. Any help is appreciated! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #578419 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=578419\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "The maximum possible value for the APY is achieved with continuous compounding, that is, N approaches infinity. APY for continuous compounding is calculated by\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=APY_CONTINUOUS+=+e%5Er+-+1 ALIGN=MIDDLE  ALT=\"APY_CONTINUOUS+=+e%5Er+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,\r<BR>\n" );
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document.write( "where \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e ALIGN=MIDDLE  ALT=\"e\"   DISABLED_style= \"max-width:90%; height:auto;\" >\" is the mathematical constant <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.718281828459045 ALIGN=MIDDLE  ALT=\"2.718281828459045\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "In your case,  APR of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.7 ALIGN=MIDDLE  ALT=\"6.7\"   DISABLED_style= \"max-width:90%; height:auto;\" >%  or as decimal <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.067 ALIGN=MIDDLE  ALT=\"0.067\"   DISABLED_style= \"max-width:90%; height:auto;\" > rate compounded continuously has an <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=APY ALIGN=MIDDLE  ALT=\"APY\"   DISABLED_style= \"max-width:90%; height:auto;\" > of\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=APY_CONTINUOUS+=+e%5E0.067+-+1+=+0.0692955=+6.92955 ALIGN=MIDDLE  ALT=\"APY_CONTINUOUS+=+e%5E0.067+-+1+=+0.0692955=+6.92955\"   DISABLED_style= \"max-width:90%; height:auto;\" >%.<BR>\n" );
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