Learn

The maths behind the money.

Four of the biggest financial decisions in UK life — your student loan, your mortgage, your car, and your pay packet — explained in plain English. No jargon, no fear-mongering, just how the numbers actually work so you can make the call with confidence.

Student loans

Should you overpay, or invest instead?

A UK student loan is unusual: most graduates never repay it in full. That single fact changes everything about whether overpaying is smart.

01 · The basics

Why it isn’t really debt

A UK student loan behaves more like a graduate tax than a mortgage. You pay 9% of everything above the threshold — no fixed demand, no court summons, no hit to your credit score. After 25–40 years (depending on plan) anything left is wiped.

  • Your repayment tracks your salary, not your balance
  • Earn under the threshold one month? You pay nothing
  • Whatever’s left at write-off is gone, not transferred
02 · The maths

Why overpaying often loses to investing

If you’re unlikely to fully repay before write-off, every extra pound you throw at the loan is a pound you’d have lost anyway. Investing it at compound market returns over decades almost always wins.

  • Compound growth over 30–40 years dwarfs interest savings
  • A Stocks & Shares ISA shelters returns from tax
  • Paying down debt feels good — but that certainty isn’t free
03 · The exceptions

Who should consider overpaying

Some career paths make the loan worth clearing. If you’ll comfortably repay before write-off, the loan becomes real debt — and every interest pound saved is a pound earned.

  • High earners on Plan 2 or PGL with steep salary growth
  • Doctors, lawyers, analysts, senior engineers
  • Anyone with a small balance they’ll clear in under 10 years
04 · The wrappers

ISA vs pension vs taxable

Where you invest matters as much as whether you invest. ISAs give tax-free growth with full access; pensions add tax relief on the way in but lock the money until 57+; taxable accounts are flexible but face CGT.

  • £20,000/yr ISA allowance — use it first if access matters
  • Pension contributions get relief at your marginal rate
  • Salary sacrifice lowers your loan repayment too
Mortgages

Overpay the mortgage, or invest the difference?

It comes down to one comparison: your mortgage rate versus the return you could earn elsewhere — certainty against probability.

01 · The decision

Guaranteed return vs higher hope

Overpaying is a guaranteed, tax-free return equal to your mortgage rate. Investing offers a higher expected return — but with risk and no guarantee. The gap between them is the price of certainty.

  • Mortgage rate above expected net return → overpaying usually wins
  • Expected return above mortgage rate → investing usually wins
  • Overpaying is certain; investing is merely probable
02 · Interest-only

Why interest-only changes everything

On interest-only your monthly payment never touches the capital — you owe the full balance at the end. You either overpay to chip away at it, or build a separate pot to clear it in one go.

  • The standard balance stays flat for the whole term
  • You must have a repayment plan for the capital
  • Investing to clear it is the classic — often stronger — play
03 · The 10% rule

Mind the overpayment limit

Most fixed-rate deals let you overpay up to 10% of the balance each year penalty-free. Go beyond that during the fixed period and you can trigger an early repayment charge (ERC) — often 1–5% of the excess.

  • The 10% usually resets on the deal anniversary
  • Lump sums count toward the same allowance
  • Once on the SVR, overpayments are normally unlimited
04 · The whole picture

Beyond the headline number

The maths is only part of it. Clearing a mortgage early brings real peace of mind and lower outgoings; investing keeps your money liquid and working. The right answer depends on your rate, your risk appetite, and what certainty is worth to you.

  • Keep an emergency fund before overpaying or investing
  • An ISA shelters investment gains from tax
  • Overpaying lowers your LTV — which can unlock cheaper rates
Car finance (PCP)

What a PCP deal really costs

PCP keeps monthly payments low by deferring a big chunk to the end. Understanding the balloon is the key to knowing whether it’s a good deal.

01 · How it works

Deposit, monthly, balloon

A PCP splits the car into three: your deposit, the monthly payments (covering depreciation plus interest), and a large optional final payment — the balloon, or GMFV — you only pay if you want to keep the car.

  • Low monthlies because you’re not buying the whole car
  • The GMFV is the lender’s guess at the future value
  • At the end: pay the balloon, hand it back, or part-exchange
02 · The comparison

PCP vs HP vs loan vs cash

The same car can cost wildly different amounts depending on how you fund it. Hire purchase clears the debt by the end; a personal loan often has a lower APR; cash avoids interest entirely but ties up your savings.

  • PCP: lowest monthly, highest flexibility, you own nothing yet
  • HP: higher monthly, but the car is yours at the end
  • Cash: no interest — but weigh it against investing that money
03 · True cost

Look past the monthly

Dealers sell on the monthly payment, but the number that matters is the total cost of credit — everything you pay above the cash price. Deposit contributions and APR can swing this by thousands.

  • Total payable = deposit + (monthly × term) + balloon
  • A 0% deposit contribution can beat a cash discount
  • Watch annual mileage limits — excess charges add up
04 · Equity & risk

Negative equity & early exit

If the car is worth less than you still owe, you’re in negative equity — a problem if you want to change cars early. Voluntary termination rights can help once you’ve paid enough.

  • Equity = current value minus settlement figure
  • You can hand the car back after paying 50% (VT rights)
  • GAP insurance covers the shortfall if it’s written off
Salary & tax

What actually lands in your account

Your gross salary and your take-home pay are very different numbers. Knowing what comes off — and at what rate — is the first step to keeping more of it.

01 · The deductions

Where your gross pay goes

Four things stand between gross and net: Income Tax, National Insurance, pension, and any student loan. Each works differently — and only the parts of your salary above each threshold are charged.

  • Income Tax: 20% / 40% / 45% bands above the personal allowance
  • National Insurance: 8% then 2% above the upper limit
  • Student loan: 9% above your plan’s threshold
02 · The trap

The £100k “60% trap”

Between £100,000 and £125,140 your personal allowance tapers away, so each extra pound is taxed at an effective 60%. Pension contributions are the classic way to claw it back.

  • You lose £1 of allowance for every £2 earned over £100k
  • A pension contribution can restore the allowance
  • It also keeps you eligible for tax-free childcare
03 · Pensions

Salary sacrifice beats net pay

How your pension is set up changes your take-home. Salary sacrifice lowers your gross before tax and NI — saving both — and even reduces your student loan repayment. Net-pay schemes only save Income Tax.

  • Sacrifice saves Income Tax, NI and student loan
  • Net pay saves Income Tax only
  • Some employers pass on their NI saving too
04 · Your real rate

Marginal vs effective rate

Your marginal rate — what the next pound is taxed at — matters more than your average rate when deciding on a pay rise, bonus, or pension top-up. It can be far higher than the band you think you’re in.

  • A bonus is taxed at your marginal, not average, rate
  • Scotland has its own bands and rates
  • Over the threshold, a pay rise can be 40%+ eaten up

These guides are for general information only and are not financial advice. They describe how UK rules generally work as at the 2025/26 tax year; your own situation, plan type and the latest government rules may differ. For decisions about your money, consider speaking to a qualified, regulated adviser.