There’s a summer treat coming over the next couple of weeks: a series of articles comparing 2014’s best affordable driver’s cars.

All were written on the back of what we’ve come to call our ‘junior handling day’ test here at Autocar HQ: something we’ve made a habit of doing at this time of year, with the motorsport season in full swing, the weather good, the holiday season well and truly open and ours roads that little bit clearer.

These are the usual cues to start daydreaming about buying a real-world performance machine. Read next week’s issue – or just keep coming here every few days as the summer blazes on – and you’ll know which the good ones are and which the not-so-good.

Meantime, if you can’t wait that long, I’m wondering if we can arrive at a way to work out how much fun any given sporting purchase will give you for your money? A good way, that is – because I’ve had a go for next week’s issue, and I’m not sure it’s very good. My mathematics is about as good as my lawn green bowling. 

Still, it’s a way. We’ve called it the Autocar Affordable Performance Index. And because – broadly speaking – it sorted the better cars from the rest in our test field the other day, it may just help you decide which bargain driver’s car to splash out on. Maybe.

Take the sum of your car’s top speed and power to weight ratio, and divide by the sum of its horsepower-per-pound-sterling quota, insurance group and 0-62mph sprint time. Bingo.

That way you’re considering a lot of the things that make a bargain performance car appealing, without having to drive it to decide if it’ll be any good. Needless to say, we do recommend you ultimately drive one; there’s no way to account for personal taste, usability or handling brilliance here.

Here’s the list of ‘AAPI’s’ for the cars we tested, plus a few ‘controls’ to prove it works – after a fashion:

Ariel Atom 3 245 - 3.37

VW Golf R 3dr DSG – 2.57

Seat Leon Cupra SC 280 DSG – 2.48

Ford Fiesta ST3 Mountune – 2.46

Renaultsport Megane 265 Cup – 2.30

Mini Cooper S – 2.23

Audi S1 Sportback – 2.15

Peugeot RCZ-R – 2.09

Toyota GT86 – 1.80

BMW M135i 3dr – 2.58

Caterham Supersport R – 2.22

Porsche Cayman GTS – 2.00

Range Rover Sport Supercharged – 1.71

Ford Focus 1.6 TDCI Zetec – 1.06

Toyota Yaris Hybrid – 1.04

McLaren P1 – 0.81

Now to throw the floor open to anyone better qualified in the numerical arts than me. But keep in mind that it needs to work on any car, be based entirely on official manufacturer figures and, ideally, not require a calculator to arrive at. Come on – maths is fun.