2 teaspoons finely grated lime rind, plus extra thin strips to decorate (optional)
2 teaspoons lime juice
1 1/2 tablespoons shredded coconut
To make the frosting, place the cream cheese, butter, icing sugar, lime rind and juice in a large bowl and beat together with a hand-held electric whisk until very smooth, then beat in the shredded coconut.
Spoon the frosting into a piping bag fitted with a plain nozzle, then pipe a swirl on each cupcake.
Sprinkle with the remaining coconut and serve decorated with extra lime rind, if liked.