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Stocks, Bonds & How They're Priced

You already know why a dollar today beats a dollar tomorrow. Now point that one idea at the two great pillars of finance — lending and owning — and the cryptic numbers scrolling across the bottom of the news screen suddenly make sense.

Two ways to put your money to work: lend it or own a piece

When a company or a government needs money it cannot raise from today's earnings, it has exactly two doors to knock on. It can *borrow* — promise to pay the money back, with interest, on a fixed schedule. Or it can *sell a slice of itself* — hand over part-ownership in exchange for cash today. The first door produces a [[bond|bond]]; the second produces a [[stock|share]] (also called stock or equity). Almost everything dizzying about financial markets is a variation on these two simple deals: lending and owning.

The difference is not just legal fine print — it decides who gets paid, and who carries the risk. A bondholder is a *creditor*: she is owed a defined stream of payments, and she stands near the front of the line if things go wrong. A shareholder is an *owner*: she gets whatever profit is left after everyone else — workers, suppliers, lenders, the taxman — has been paid, and she stands at the very back of the line in a bankruptcy. That single fact, last in line, is the root of everything that follows. Owning is riskier than lending, so owners demand the chance of a bigger reward — the risk–return bargain you met earlier in this rung, now wearing two different costumes.

Pricing a bond: the seesaw of price and yield

Start with the simpler instrument. A plain bond is just a set of future cash payments: some fixed interest each year (the *coupon*) and the original loan returned at the end (the *face value*). You already have the tool to value any stream of future cash — [[eco-present-value|present value]], the engine of this whole rung. A bond's fair price is simply the present value of all the payments it promises, discounted back to today because, as you know, a dollar arriving in five years is worth less than a dollar in your hand now. Nothing new is needed; we are just pointing the same discounting machine at a row of coupons.

Now the part that confuses everyone — and the single most useful thing in this guide. The bond's *payments are fixed and printed on the contract*: a $1,000 bond paying a $50 coupon pays $50 forever, no matter what. But the *price* of that bond in the market moves up and down every day. So when its price changes, what changes is its yield — the actual return you earn if you buy at today's price. And here is the iron law: bond price and yield move in opposite directions. Pay less for the same fixed $50, and your return is higher; pay more for that same $50, and your return is lower. This is the [[bond-price-yield-relationship|inverse relationship between bond prices and yields]], and it is not an opinion or a tendency — it is arithmetic.

Bond pays a FIXED $50 each year (a 5% coupon on $1,000 face value)

  You pay $1,000  ->  $50 / $1,000  =  5.0% yield   (par)
  You pay   $800  ->  $50 /   $800  =  6.3% yield   (price DOWN, yield UP)
  You pay $1,250  ->  $50 / $1,250  =  4.0% yield   (price UP,  yield DOWN)

  Same $50 forever. Lower price = higher yield. Always.
The seesaw in three lines. The coupon never budges; only the price you pay does, and the yield is just the coupon divided by that price. (Real yields-to-maturity also fold in the face value repaid at the end, but this simple ratio already shows you the direction, which is what the headlines turn on.)

This is why a single piece of news ripples through every bond at once. Suppose the central bank raises the interest rate you can earn on brand-new, safe loans to 6%. Who would now pay $1,000 for an old bond yielding only 5%? Nobody — so its price must fall until its yield climbs to match the 6% available elsewhere. Rising market rates push existing bond prices *down*; falling rates push them *up*. That is the whole reason a headline like "bond yields jumped today" is really saying "bond prices fell today" — two ways of describing one seesaw.

Pricing a share: tomorrow's profits, dragged back to today

A share is harder to price than a bond for one reason: its payments are not promised. An owner is entitled to a slice of future profits — paid out as *dividends*, or reinvested to make the company grow and the share worth more later — but nobody knows how big those profits will be. So pricing a share means doing exactly what you did for a bond, with one daunting extra step: you must first *guess* the future stream of profits, then discount that guessed stream back to today with present value. A share's price is, at bottom, the market's best collective estimate of all the cash the company will ever generate for its owners, shrunk down to a today-value.

Two dials therefore move every share price, and they explain almost every move you will ever see. The first is the *expected future profit*: any news that makes the company's future look richer — a hit product, a fat new contract — raises the estimate of those future cash flows and lifts the price. The second, easy to forget, is the *discount rate* you drag them back with. When interest rates rise across the economy, distant future profits get discounted more harshly, so they are worth less today — which is why even great companies' shares can sag the moment the central bank turns hawkish. A stock price is a tug-of-war between hope about the future and the gravity of the discount rate.

This is the honest answer to the puzzle of why a young company earning almost nothing can be worth more than an old one earning fortunes. The price is not about *this year's* profit; it is about the entire *future*. The market is betting the young firm's profits will balloon and the old firm's will fade. Those bets are guesses about an unknowable future, which is precisely why share prices lurch on rumour, jump on a single earnings report, and are far more volatile than bonds. You are not watching the company change minute to minute — you are watching a crowd's *estimate of its future* change minute to minute.

What are financial markets even for?

Step back from the tickers and ask the blunt question. [[financial-markets|Financial markets]] are simply the places where these bonds and shares are bought and sold. Their first job is to *move savings to where they can do the most work*: your spare cash, pooled with millions of others', funds a factory, a railway, a vaccine — projects no single saver could finance alone. The second job is to *let you change your mind*. Without a market, lending money for thirty years would mean locking it away for thirty years. Because there is a market, you can sell your bond or share to someone else tomorrow. That ability to sell — *liquidity* — is what makes people willing to commit money to the long term in the first place.

There is a deeper, almost philosophical job too: prices carry *information*. When thousands of buyers and sellers, each chasing profit, pour their guesses into one number, that price summarises an astonishing amount of collective knowledge about a company's prospects. The strong version of this idea — the [[efficient-market-hypothesis|efficient market hypothesis]] — argues that prices already reflect all publicly known information, so you cannot reliably beat the market by trading on news everyone has. There is real evidence for it: most professional fund managers, year after year, fail to beat a simple index. It is a genuinely useful warning against thinking you can outsmart the crowd with yesterday's newspaper.

Reading the headlines with new eyes

Take the cryptic line you have seen a hundred times: "Stocks fell and bond yields rose after the central bank signalled higher rates." You can now translate it whole. Higher rates mean a steeper discount rate, so the present value of future profits shrinks — *stocks fall*. Higher rates also make new bonds more attractive, so old bonds must cheapen to compete — their prices fall, which (by the seesaw) means *yields rise*. One cause, two effects, both flowing from the same present-value logic you carried in from the start of this rung. The news was never speaking a foreign language; you simply now hold the dictionary.

  1. Ask which deal it is — a loan (bond) or a slice of ownership (share). That tells you who is first in line and who carries the risk.
  2. For a bond, remember the seesaw: if the price went down, the yield went up, and vice versa — they are one fact spoken two ways.
  3. For a share, ask what changed: the expected future profits, or the discount rate (interest rates) used to drag them back to today? Almost every move is one of these two.
  4. Stay humble about whether the price is "right": markets usually process information well, but they can also blow bubbles — so don't assume the crowd is always wise, nor that you can easily outsmart it.

Notice what you did *not* need: no insider tips, no chart-reading magic, no algebra heavier than dividing $50 by a price. Every move came from two ideas you already owned before this guide began — a dollar today beats a dollar tomorrow, and riskier bets must promise bigger rewards. That economy of ideas is the quiet beauty of finance: a vast, intimidating machine that turns out to run on a single small engine, present value, applied with honesty about how little anyone really knows about the future.