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Up to six funds side by side, and how much of each is the same portfolio as the others. Overlap is Σ min(weight) over the stocks both hold, from the latest disclosures.

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Overlap

share of the portfolio the two funds hold in common

BANK OF INDIA MID CAPKotak Mid Cap
BANK OF INDIA MID CAP
itself
0%
Kotak Mid Cap
0%
itself

Most alike: BANK OF INDIA MID CAP FUND and Kotak Mid Cap Fund share 0% of their portfolios. Two funds this different are doing different things; whether that is what you want is a separate question.

Side by side

record, cost, returns, drawdown, size

MeasureBANK OF INDIA MID CAPKotak Mid Cap
CategoryMid CapMid Cap
Share of three-year stretches it beat its category P4not measured83% of 109
Regular plan costs more than Direct by, a year P51.21%1.44%
Portfolio turned over a year P1116%not measured
Run by P7Alok Singh · 1.1 yrsnot known
1-year return5.0%4.8%
3 years p.a.18.1%
5 years p.a.16.8%
Deepest fall (max drawdown)−12.5%−20.9%
Assets (AUM)₹753 Cr₹64,136 Cr
Disclosed history1.1 yrs
Holdings · top ten weight59 · 37%— · —

Funds in different categories are not comparable on returns — a category error is the first thing the postulates refuse to make. Compare each to its own category on its fund page.