$R^2$ of 1 but RMSE > 0

Question

I am running k-fold cross validation on my training data, and then choosing the best set of hyper parameters, re-training on the training data and testing on a new (unseen) testing data. I am getting the following testing results (results on the unseen data):

R^2: 1.000
Adj R^2: 1.000
RMSE: 0.081
MSE: 0.007
MAE: 0.045
MAPE: 0.058

Can $R^2$ have a value of 1.00 but RMSE have a value of 0.081? Doesn't an $R^2$ of value 1 indicate no errors at all?

Answer 1

The $R^2$ value is rounded to 3 decimal places. If the exact $R^2$ is $\ge$0.9995, it would then be reported as 1.000.