Exercise 1: What Another 0.05% in Fees Costs Over 30 Years — Possible Solution ==================================================================== Using this chapter's own formula with P=£10,000, i=0.0685 (a net return of 6.85%, 0.05 percentage points lower than the chapter's own 6.9% figure), and n=30 years: FV = 10000 x (1.0685)^30 = 10000 x 7.298547 = approximately £72,985 This chapter's own figure at a net 6.9% return was approximately £74,017. The real difference between the two: £74,017 - £72,985 = approximately £1,032 WHAT THIS SHOWS A fee increase of just 0.05 percentage points a year - genuinely tiny on its own, easy to overlook when comparing two funds' own headline figures - still costs a real, meaningful £1,032 over 30 years on this same £10,000 starting amount. That's roughly 6.2% of the entire original investment, lost purely to a fee difference smaller than a single decimal point most investors would barely notice when reading two funds' own fact sheets side by side. WHY EVEN SMALL FEE DIFFERENCES COMPOUND SO MUCH The mechanism is identical to every other compounding example in this course: a fee isn't a one-time cost, it's an annual drag applied every single year, and that drag compounds alongside (and against) the investment's own growth. A slightly higher fee doesn't just cost slightly more once - it costs slightly more every year, and each of those slightly-smaller annual gains then has less to compound going forward, producing a real, cumulative gap that grows larger the longer the money stays invested. WHY THIS MATTERS IN PRACTICE This is the real, practical reason comparing fund fees carefully - down to fractions of a percentage point - is worth genuine attention even when the headline numbers look nearly identical. Two funds tracking the same index, charging 0.10% and 0.15% respectively, look almost indistinguishable on paper, but this exercise's own real calculation shows that small a gap is still worth over £1,000 across a 30-year holding period on a modest £10,000 starting investment. ANSWER: At a net 6.85% return (0.05 percentage points lower than this chapter's own 6.9% figure), £10,000 grows to approximately £72,985 over 30 years - about £1,032 less than the chapter's own £74,017 figure. Even this small a fee difference costs a real, meaningful sum purely because a fee is an annual drag that compounds every year alongside the investment's own growth, meaning even fractional percentage-point differences in fees are genuinely worth comparing carefully before choosing between similar funds. WHY THIS WORKS AS AN ANSWER ------------------------------ This correctly recomputes the real formula at the specified lower net return, calculates the exact real difference against the chapter's own stated figure, and explains why even a small fee gap produces a meaningful cumulative cost through the same compounding mechanism covered throughout this course.