Latest / How Canadian Markets Work / The Four Numbers Explained: Which 4 Numbers Decide Your Returns? | Canadian Investing

Transcript

The Four Numbers Explained: Which 4 Numbers Decide Your Returns? | Canadian Investing · How Canadian Markets Work

• 0:00
  Welcome to this deep dive. I want you to picture
• 0:02
  a scenario that, well, almost every experienced
• 0:07
  investor has navigated at least once. Oh, absolutely.
• 0:09
  It's practically a rite of passage. Right. So
• 0:12
  you're sitting quietly at your terminal, analyzing
• 0:16
  a bond quote, you've already modeled your portfolio,
• 0:19
  you've checked the yield to maturity, and you're
• 0:22
  entirely comfortable with the credit risk. Everything
• 0:24
  looks perfectly fine. Exactly. So you execute
• 0:27
  the trade. The quoted price was one thing, but
• 0:30
  when the settlement confirmation hits your account
• 0:32
  a day or two later, the cash debited from your
• 0:35
  balance is, I mean, noticeably higher. Yeah,
• 0:38
  and that creates a sudden sharp spike in your
• 0:40
  heart rate. It really does. You immediately wonder
• 0:43
  if maybe you misread the spread or if the brokerage
• 0:47
  quietly slipped in an aggressive markup while
• 0:49
  you weren't looking. It is an incredibly jarring
• 0:51
  experience, especially for those who are really
• 0:53
  meticulous about their capital allocation. When
• 0:56
  you're managing your own wealth, the absolute
• 0:58
  last thing you want is a discrepancy between
• 1:00
  the model in your spreadsheet and the reality
• 1:02
  of your ledger. Right. Nobody likes surprise
• 1:05
  fees. Exactly. But what is fascinating here is
• 1:08
  that this discrepancy is not a hidden fee. And
• 1:11
  it certainly isn't an error. It's actually a
• 1:13
  perfectly calibrated, mathematically essential
• 1:16
  feature of how the fixed income market actually
• 1:19
  And that is exactly what we are going to explore
• 1:22
  today. Our approach is going to be deliberate,
• 1:26
  steady, and focused. We're bypassing the elementary
• 1:29
  definitions that you already know, and instead
• 1:31
  we're taking a slow look under the hood at the
• 1:34
  exact mechanics of a Canadian bond quote. We
• 1:36
  are pulling from comprehensive financial reference
• 1:39
  materials to examine the absolute inescapable
• 1:43
  mathematics that govern this market. Right. Our
• 1:46
  mission today is to demystify the four standard
• 1:48
  numbers in a bond quote and uncover that hidden
• 1:51
  fifth number so you never feel blindsided by
• 1:53
  phantom taxes or hidden costs on your investment
• 1:56
  statements again. We'll be dissecting the relationship
• 1:58
  between the clean price you see on your screen
• 2:00
  and the dirty price you actually pay. We'll explore
• 2:03
  the granular mechanics of accrued interest and
• 2:05
  the hidden tax traps surrounding zero coupon
• 2:08
  bonds in Canada. The goal is to provide you with
• 2:11
  such a thorough understanding of the plumbing
• 2:13
  of the bond market that Well, you will never
• 2:16
  feel that momentary spike of panic over a settlement
• 2:19
  statement again. That's a great goal. It's all
• 2:21
  about peace of mind. So true. OK, let's unpack
• 2:24
  this. Before we can understand why bond prices
• 2:26
  move in the secondary market, we first have to
• 2:29
  ground ourselves in the unchangeable facts of
• 2:32
  the primary contract itself. The absolute rigid
• 2:35
  foundation. Right. We all know the basic components,
• 2:37
  the par value and the coupon rate. In the Canadian
• 2:40
  corporate and government bond markets, the standard
• 2:42
  convention is Typically, an issue price and par
• 2:47
  value of $1 ,000. Right. $1 ,000 per bond. That
• 2:51
  is the anchor. It is what the issuer promises
• 2:53
  to repay at maturity, and that is fixed at issue,
• 2:56
  and it never changes, regardless of market panic
• 2:59
  or euphoria. And the coupon is almost universally
• 3:01
  paid on a semiannual basis. Exactly. And it's
• 3:04
  really crucial to remember that the coupon rate
• 3:06
  is a fixed percentage of that par value, not
• 3:10
  a percentage of what you paid for the bond on
• 3:12
  the open market. OK, I love using analogies for
• 3:15
  this. It's kind of like buying a used ATM that
• 3:18
  dispenses exactly $50 every single year. That
• 3:21
  is a perfect way to look at it. Yeah. Right.
• 3:23
  Like, whether you paid $800 or $1 ,200 to buy
• 3:26
  the machine from someone else, it still only
• 3:29
  spits out that same $50. Exactly. A 5 % coupon
• 3:33
  on a $1 ,000 bond pays $50 a year. And as you
• 3:37
  mentioned, because it's usually semi -annual
• 3:39
  in Canada, that means you're getting $25 twice
• 3:42
  a year. every single year until maturity. It
• 3:46
  is carved in stone. It is utterly inflexible.
• 3:49
  It does not matter if central bank interest rates
• 3:51
  drop to zero or spike to double digits, right?
• 3:54
  Right. The cash flow schedule is completely deaf
• 3:57
  to the outside world. which creates a really
• 4:00
  fascinating mechanical problem. If the macroeconomic
• 4:03
  environment is constantly shifting, but the bond's
• 4:06
  cash flows are entirely frozen, I mean, the pressure
• 4:08
  has to go somewhere. The contract itself cannot
• 4:10
  bend. Exactly. So the market value of the contract
• 4:13
  has to absorb 100 % of the volatility. If we
• 4:16
  connect this to the bigger picture, that is exactly
• 4:18
  why bond prices move. The price of the bond in
• 4:22
  the secondary market acts as a continuous, real
• 4:25
  -time pressure valve. It's constantly recalculating
• 4:28
  the present value of those fixed, unchangeable
• 4:32
  future cash flows against whatever the prevailing
• 4:34
  interest rate is at this exact second. And that
• 4:37
  brings us to how these prices are actually displayed
• 4:40
  to you, the listener, when you open up your brokerage
• 4:42
  account. Because they do look a bit strange at
• 4:44
  first glance. Yeah, they really do. When you
• 4:46
  pull up a quote, you're not seeing a standard
• 4:48
  dollar amount. Yeah. You might see a price that
• 4:50
  just says, ah, 98 .4. Right, which can be confusing.
• 4:54
  But that is because prices are quoted per $100
• 4:57
  of face value. So on a standard Canadian $1 ,000
• 5:00
  bond, a quote of 98 .40 means you're paying 98
• 5:04
  .4 % of the bonds par. value, which translates
• 5:08
  to a price of $984. Exactly. And this system
• 5:12
  is actually brilliant because it makes bonds
• 5:15
  with entirely different face values directly
• 5:17
  comparable. A retail investor's $1 ,000 bond
• 5:21
  and an institution's $10 million block quote
• 5:23
  exactly the same way. It creates a universal
• 5:26
  translation layer. Right. And anything above
• 5:29
  $100 is a premium, exactly $100 is par, and below
• 5:32
  $100 is a discount. Yes. But Let's be real for
• 5:35
  a second and push back on how retail investors
• 5:38
  often interpret this. OK, sure. If I'm staring
• 5:40
  at a bond priced at 85, representing an $850
• 5:45
  outlay for a guaranteed $1 ,000 at maturity,
• 5:49
  part of my brain is screaming that this is an
• 5:51
  arbitrage opportunity. It looks like a huge sale,
• 5:53
  right? It feels like a distressed asset sale.
• 5:55
  If the issuer is solvent and the thousand dollars
• 5:58
  in maturity is secure, I mean, why shouldn't
• 6:01
  I view that massive 15 % discount as a pure cable
• 6:04
  game bargain? Because in the fixed income world,
• 6:07
  there are no free lunches. There are only mathematical
• 6:09
  equalizations. What you're perceiving as a bargain
• 6:12
  is simply the market mathematically compensating
• 6:14
  you for a suboptimal cash flow. So if the bond
• 6:17
  is trading at 85, it's heavily discounted. just
• 6:20
  because the coupon attached to it is severely
• 6:23
  lagging behind current market rates. So a discount
• 6:26
  bond isn't necessarily on sale. Precisely. Let's
• 6:29
  say you're looking at an older bond issued years
• 6:31
  ago with a 2 % coupon. But today, because central
• 6:34
  banks have raised rates, brand new bonds of similar
• 6:37
  risk are being issued with 5 % coupons. Oh, I
• 6:40
  see. Nobody in their right mind will pay you
• 6:42
  a full thousand dollars for your 2 % bond when
• 6:45
  they can buy a 5 % bond for the exact same price.
• 6:48
  Exactly. The market instantly adjusts. Because
• 6:50
  the coupon is legally fixed and cannot change,
• 6:53
  the price of your older bond must fall all the
• 6:56
  way down to 85 or whatever. the exact calculation
• 6:58
  demands. So that the total return becomes competitive.
• 7:01
  The combination of those tiny 2 % coupons plus
• 7:04
  the embedded capital gain of buying at $850 and
• 7:07
  receiving $1 ,000 at maturity perfectly equals
• 7:10
  the yield of today's 5 % market. It is a brutal,
• 7:13
  flawless efficiency. It's just the brutal math
• 7:16
  of the market compensating you for a lousy coupon
• 7:18
  rate. The price is just the symptom of that yield
• 7:21
  equalizing against the fixed coupon. Right. This
• 7:25
  brings us to the core mystery we started with.
• 7:28
  Let's say I accept the math. I buy that bond
• 7:30
  at a quoted price of $98 .40. I expect to pay
• 7:35
  $984. You've read the four numbers. You understand
• 7:38
  the quote. You hit buy. Right. But the final
• 7:40
  bill, the cash debited from my account, is $996
• 7:45
  .50. Enter the hidden fifth number. accrued interest.
• 7:49
  Yes, accrued interest. This is the exact mechanism
• 7:52
  that causes so much unnecessary anxiety for investors.
• 7:56
  But once you look at the settlement mechanics,
• 7:58
  you realize it is actually the ultimate expression
• 8:01
  of market fairness. Let's walk through the timeline
• 8:03
  on that. OK. We established that Canadian bonds
• 8:07
  typically pay coupons semi -annually. Let's imagine
• 8:10
  those rigid payment dates are June 1st and December
• 8:13
  1st. And the issuer's paying agent does not care
• 8:15
  who owned the bond during the intervening months,
• 8:17
  do they? Not at all. On December 1st, they look
• 8:19
  at the registry, see who holds the bond at that
• 8:22
  exact moment, and send them the entire six -month
• 8:24
  interest payment. The issuer refuses to deal
• 8:27
  with fractional payments. But let's say you decide
• 8:30
  to purchase this bond on the secondary market
• 8:32
  on, say, September 1st. Okay, so exactly halfway
• 8:35
  through that six -month coupon cycle. Exactly
• 8:37
  halfway. The investor selling you the bond has
• 8:40
  had their capital tied up from June to September.
• 8:44
  They have legally earned three months of interest.
• 8:47
  But because they're selling before December 1st,
• 8:49
  the issuer is never going to pay them. I have
• 8:52
  to step in. The settlement system forces me,
• 8:55
  the incoming buyer, to compensate the outgoing
• 8:58
  seller for the interest they earned but will
• 9:00
  never receive. I pay the quoted price plus that
• 9:04
  accrued interest. Yes. On the settlement date,
• 9:07
  the clearing system calculates the exact number
• 9:09
  of days the seller held the bond since the last
• 9:12
  coupon. If the semi -annual coupon is $25 and
• 9:16
  the seller held it for exactly half the period,
• 9:19
  they are owed $12 .50. Wait, I can hear people
• 9:22
  listening to this and thinking, is this a scam?
• 9:24
  Like, is this just a hidden markup from the dealer?
• 9:26
  I know it feels that way, but it's entirely fair.
• 9:28
  It's a pass -through mechanism. You front that
• 9:30
  $12 .50 to the seller. So my total out of pocket
• 9:33
  is $990. Right. But when the six -month mark
• 9:39
  hits on December 1st, you receive the full $25
• 9:42
  coupon from the issuer. That perfectly reimburses
• 9:46
  you for the $12 .50 you fronted to the seller,
• 9:49
  netting you the exact $12 .50 you actually earned
• 9:53
  for holding it from September to December. Oh,
• 9:55
  wow. It really is mathematically flawless. It
• 9:58
  is. Which is why the industry separates this
• 10:01
  into two terms. The clean price is the quoted
• 10:04
  price without accrued interest. The dirty price,
• 10:07
  or full price, is what you actually pay on your
• 10:10
  statement. The clean price plus the accrued interest.
• 10:13
  Ugh, clean price and dirty price. I groan every
• 10:16
  time I hear those terms. They are so unhelpful
• 10:19
  and confusing for regular investors. They definitely
• 10:21
  lack nuance. But OK, I understand why they do
• 10:23
  it. If we quoted dirty prices, the charts would
• 10:25
  be unreadable. Accrued interest builds up linearly
• 10:28
  day by day until the coupon is paid, at which
• 10:31
  point it instantly drops to zero and starts building
• 10:34
  again. Exactly. A bonds chart would look like
• 10:37
  the teeth of a saw, ramping up and violently
• 10:39
  dropping down every six months, even if the underlying
• 10:42
  value of the bonds principle hadn't moved a single
• 10:45
  basis point. So quoting the clean price smooth
• 10:48
  all that out. But I do want to touch on a minor
• 10:51
  complication here. What happens if a retail investor
• 10:54
  sits at their kitchen table, counts the days
• 10:57
  on a calendar, multiplies by the daily interest
• 10:59
  rate, and comes up with a number that is three
• 11:02
  or four cents different from their brokerage
• 11:04
  statement? That minor discrepancy comes down
• 11:07
  to day count conventions. Different segments
• 11:09
  of the fixed income market use entirely different
• 11:12
  calendars for calculating accrued interest. Many
• 11:15
  corporate bonds use what is known as a 3360 convention.
• 11:18
  This assumes every single month has exactly 30
• 11:21
  days and a year has exactly 360 days. So they
• 11:25
  literally pretend February 31st exists and entirely
• 11:28
  ignore the 31st of October. They do. It smooths
• 11:30
  out the math for complex institutional accounting.
• 11:33
  But government bonds typically use an actual
• 11:35
  actual convention. They count the literal calendar
• 11:38
  days between coupon payments adjusting for leap
• 11:41
  years and everything. Exactly. So if you apply
• 11:43
  a thirty three sixty mental framework to an actual
• 11:47
  government wand your calculation will be off
• 11:50
  by a few pennies. Understanding that removes
• 11:53
  the suspicion that your broker is just rounding
• 11:55
  up at your expense. Also it's worth noting that
• 11:58
  institutional markets often just quote in yield
• 12:00
  rather than price anyway. That makes total sense.
• 12:03
  Every fraction of a cent is governed by a predetermined
• 12:06
  rule. So what happens if a bond doesn't have
• 12:09
  a coupon at all? How does accrued interest work
• 12:12
  then? Well, this brings us to a highly specialized
• 12:15
  corner of the market, the zero coupon bond. Right.
• 12:18
  Zero coupon bonds. These are issued at a deep
• 12:20
  discount. They pay no coupons along the way,
• 12:22
  and they just mature at par value. Because there
• 12:25
  is no coupon, all your return comes from that
• 12:28
  price gap. Which means there is no accrued interest
• 12:31
  to calculate when trading. The clean price and
• 12:33
  the dirty price are identical. Exactly. It's
• 12:36
  mechanically very elegant. But, and this is a
• 12:39
  big but, replacing a traditional coupon, with
• 12:42
  a pure price gap, creates a massive structural
• 12:45
  trap within the Canadian tax system, doesn't
• 12:47
  it? It is a massive trap. In a purely logical
• 12:50
  framework, you would assume you only owe tax
• 12:53
  when the bond matures in 10 years and you finally
• 12:55
  take possession of the thousand dollars. That
• 12:57
  would be the intuitive way to look at it, yes.
• 12:59
  But the Canadian tax system doesn't operate on
• 13:01
  your cash flow schedule. The tax system recognizes
• 13:04
  that the bond is steadily marching toward its
• 13:06
  par value every single day. Even though you receive
• 13:10
  absolutely zero cash along the way, the tax system
• 13:13
  treats the accreting value of the bond, that
• 13:16
  slow mathematical growth, as taxable income each
• 13:19
  and every year. Wait, really? That is so painful.
• 13:22
  I'm being taxed on money I haven't even received
• 13:24
  yet. Yes. You are forced to pay real taxes out
• 13:27
  of your checking account on this phantom income.
• 13:29
  For a retail investor trying to manage their
• 13:31
  daily liquidity, that is a severe cash flow bleed.
• 13:34
  It fundamentally changes the strategy. Therefore,
• 13:38
  the where matters just as much as the what. These
• 13:41
  zero -coupon bonds generally belong inside registered
• 13:44
  tax -advantaged accounts. Right, so you shelter
• 13:47
  them in a registered retirement savings plan
• 13:49
  or a tax -free savings account in Canada. That
• 13:53
  way, the phantom income accretes silently, shielded
• 13:56
  from the tax drag. Exactly. Okay, let's quickly
• 13:58
  pull all of these threads together and recap
• 14:00
  the journey for you, the listener. Let's do it.
• 14:02
  The par value is the anchor. It's what is repaid
• 14:05
  at maturity. The coupon is the fixed percentage
• 14:09
  of that par value. The maturity is the end date.
• 14:13
  The price is quoted per 100 to equalize the yield.
• 14:17
  And accrued interest is the invisible but entirely
• 14:20
  fair extra cost you pay upfront to compensate
• 14:23
  the seller. Exactly. You are now equipped to
• 14:26
  look at a fixed income quote or a settlement
• 14:28
  statement, not with confusion, but with total
• 14:31
  clarity. I want to leave you with a final provocative
• 14:34
  thought that builds on everything we've discussed
• 14:36
  today. Oh, I'd love to hear it. When you realize
• 14:38
  that the bond market is governed by the strict,
• 14:41
  inescapable mathematical rigidity, you start
• 14:43
  to see how it acts as a heavy anchor for the
• 14:46
  entire financial system. It really is the foundation.
• 14:48
  It is. It makes you wonder, if bond math is this
• 14:52
  precise and unforgiving, how much of the wild
• 14:55
  emotional volatility we see in the stock market
• 14:58
  is actually just a reaction to these quiet, underlying
• 15:02
  bond calculations shifting by a fraction of a
• 15:05
  percent? Wow. That's like realizing the bond
• 15:07
  market is the dark matter of the financial universe.
• 15:10
  You rarely see it, but its gravitational pull
• 15:12
  dictates everything else. Exactly. Thank you
• 15:15
  so much for taking the time to slowly, deliberately
• 15:18
  explore the depths of these mechanics with us
• 15:20
  today. It was a pleasure. We hope this clarity
• 15:22
  serves you well in your future capital allocations.
• 15:24
  We really do. The next time you hit that buy
• 15:26
  button, you'll know exactly the timeline, the
• 15:28
  day count, and the yield math that generated
• 15:30
  every single penny. Thank you so much for joining
• 15:33
  us for this deep dive. Take care of yourselves
• 15:35
  and your portfolios.