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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

Monarch OvernightICICI Prudential Overnight
Monarch Overnight
itself
0%
ICICI Prudential Overnight
0%
itself

Most alike: Monarch Overnight Fund and ICICI Prudential Overnight 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

MeasureMonarch OvernightICICI Prudential Overnight
CategoryOvernightOvernight
Share of three-year stretches it beat its category P4not measured63% of 59
Regular plan costs more than Direct by, a year P5not measured0.12%
Portfolio turned over a year P1not measurednot measured
Run by P7not knownDarshil Dedhia · 3.3 yrs
1-year return—5.3%
3 years p.a.—6.1%
5 years p.a.—68.0%
Deepest fall (max drawdown)0.0%0.0%
Assets (AUM)—₹14,826 Cr
Disclosed history—7.5 yrs
Holdings · top ten weight— · —7 · 100%

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.