{"id":1255,"date":"2007-09-29T13:00:49","date_gmt":"2007-09-29T17:00:49","guid":{"rendered":"http:\/\/www.prefblog.com\/?p=1255"},"modified":"2007-09-29T13:00:49","modified_gmt":"2007-09-29T17:00:49","slug":"after-tax-yield-equivalency","status":"publish","type":"post","link":"https:\/\/prefblog.com\/?p=1255","title":{"rendered":"After-Tax Yield Equivalency"},"content":{"rendered":"<p>It must be fall! The time when an old man&#8217;s fancy lightly turns to thoughts of tax planning! I received my first indication of the change in season today &#8230;<\/p>\n<p>My correspondent sent me the following calculation and wondered why the after-tax yield on a dividend that he was investigating was lower than the pre-tax yield &#8230; he attached a calculation:<\/p>\n<div align=\"center\">\n<table border=\"1\">\n<tr>\n<td colspan=\"3\">Tax Effect on Dividends<\/td>\n<\/tr>\n<tr>\n<td>A<\/td>\n<td>Preferred Shares Purchase Price<\/td>\n<td>$100.00<\/td>\n<\/tr>\n<tr>\n<td>B<\/td>\n<td>Dividend Rate of Return<\/td>\n<td>4.25%<\/td>\n<\/tr>\n<tr>\n<td>C<\/td>\n<td>Yearly Amount of Dividends (A*B)<\/td>\n<td>$4.25<\/td>\n<\/tr>\n<tr>\n<td>D<\/td>\n<td>Gross-Up Percentage<\/td>\n<td>45%<\/td>\n<\/tr>\n<tr>\n<td>E<\/td>\n<td>Taxable (i.e. Grossed-Up) Amount of Dividends = (1+D)*C<\/td>\n<td>$6.16<\/td>\n<\/tr>\n<tr>\n<td>F<\/td>\n<td>Tax Rate<\/td>\n<td>30%<\/td>\n<\/tr>\n<tr>\n<td>G<\/td>\n<td>Tax on Grossed-up Amount of Dividends (F*E)<\/td>\n<td>$1.85<\/td>\n<\/tr>\n<tr>\n<td>H<\/td>\n<td>Tax Credit Percentage<\/td>\n<td>19%<\/td>\n<\/tr>\n<tr>\n<td>I<\/td>\n<td>Tax Credit (H * G)<\/td>\n<td>$0.35<\/td>\n<\/tr>\n<tr>\n<td>J<\/td>\n<td>Net Tax (G-I)<\/td>\n<td>$1.50<\/td>\n<\/tr>\n<tr>\n<td>K<\/td>\n<td>After Tax Return (C-J)<\/td>\n<td>$2.75<\/td>\n<\/tr>\n<tr>\n<td>L<\/td>\n<td>After Tax Rate of Return (K\/A)<\/td>\n<td>2.75%<\/td>\n<\/tr>\n<\/table>\n<\/div>\n<p>My correspondent&#8217;s problem was that he had been told that &#8220;L&#8221; should be more than &#8220;B&#8221;.<\/p>\n<p>Well, he was quite right to be suspicious! An after tax rate of return higher than the pre-tax rate implies a negative taxation rate; and while such things may sometimes happen to a very small extent in some corners of the tax world, given very particular (and relatively small!) numbers, it&#8217;s just not there for most of us! It will doubtless be a promise in the next Federal election campaign, however.<\/p>\n<p>I suspect that my correspondent was told a garbled version of something that really\u00a0is a general rule: that dividend income is better than interest income and that a dividend of $1 will always leave more in your pocket than an interest receipt of $1. Always? Well, there might be some exceptions! I will stress that I am not a tax expert and that anything I say about taxes should be checked!<\/p>\n<p>What we need to illustrate this is a few more lines in the calculation:<\/p>\n<div align=\"center\">\n<table border=\"1\">\n<tr>\n<td colspan=\"3\">Additional Lines for Interest Equivalency Factor<\/td>\n<\/tr>\n<tr>\n<td>M<\/td>\n<td>Rate of tax on interest income (from tables)<\/td>\n<td>43.4%<\/td>\n<\/tr>\n<tr>\n<td>N<\/td>\n<td>Percentage of Interest Income kept (1-M)<\/td>\n<td>56.6%<\/td>\n<\/tr>\n<tr>\n<td>O<\/td>\n<td>Interest Required to produce after-tax amount (= K \/ N)<\/td>\n<td>$4.86<\/td>\n<\/tr>\n<tr>\n<td>P<\/td>\n<td>Equivalency Factor (= O \/ C)<\/td>\n<td>1.14<\/td>\n<\/tr>\n<\/table>\n<\/div>\n<p>So what we conclude from this particular equivalency factor is that:<\/p>\n<ul>\n<li>a dividend yield of 4.25% will produce the same amount of after-tax income as an interest yield of 4.86%<\/li>\n<li>For any given dividend yield, we can multiply by 1.14 to get the interest rate to which it is equivalent<\/li>\n<li>For any given interest rate, we can divide by 1.14 to get the dividend yield to which it is equivalent<\/li>\n<\/ul>\n<p>Note that this 1.14 figure is\u00a0very low\u00a0and is probably an error due to the fact that I simply put in a &#8220;generic&#8221; tax rate for income rather than looking one up that was actually consistent with the other data.<\/p>\n<p>Another problem is that my correspondent&#8217;s figure of $1.50 tax on $4.25 dividend is an all-in rate of 35%, which looks pretty high to me. I suspect that the tax factors [(D),\u00a0(F) and (H)]\u00a0are incorrect; but more details and sources are required to check this. Most equivalency factors are in the neighborhood of 1.30 &#8211; 1.40.<\/p>\n<p>Tax rates for different types of income can be obtained from <a href=\"http:\/\/www.ey.com\/GLOBAL\/content.nsf\/Canada\/Tax_-_Calculators_-_2007_Personal_Tax\">Ernst &#038; Young&#8217;s Tax Calculator<\/a>. I&#8217;ve also written <a href=\"http:\/\/www.prefblog.com\/?p=659\">an article<\/a> in which equivalency factors were vital and calculated for a wide variety of provinces and income levels.<\/p>\n<p>\n<p><!--d7aeeae753e9eee0d454f728bc8e9783-->\n<\/p>\n<p><!--3ea7bfd77e381c71609feb452a0fe713--><\/p>\n","protected":false},"excerpt":{"rendered":"<p>It must be fall! The time when an old man&#8217;s fancy lightly turns to thoughts of tax planning! I received my first indication of the change in season today &#8230; My correspondent sent me the &hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[23,30],"tags":[],"class_list":["post-1255","post","type-post","status-publish","format-standard","hentry","category-reader-initiated-comments","category-taxation"],"_links":{"self":[{"href":"https:\/\/prefblog.com\/index.php?rest_route=\/wp\/v2\/posts\/1255","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/prefblog.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/prefblog.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/prefblog.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/prefblog.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1255"}],"version-history":[{"count":0,"href":"https:\/\/prefblog.com\/index.php?rest_route=\/wp\/v2\/posts\/1255\/revisions"}],"wp:attachment":[{"href":"https:\/\/prefblog.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1255"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/prefblog.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1255"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/prefblog.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1255"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}