There is no available history log for the exchange rates from PayPal.
We can just manually check daily. Just a few quick tips, the exchange rate is worse during the weekend and holidays. Also, I would avoid making any exchanges outside 9 AM -5 PM hour interval.
Some logs:
20.03.2019: 1$ = 0.858 EUR
24.06.2019: 1$ = 0.855683 EUR
20.11.2019: 1$ = 0.8797 EUR
02.01.2020: 1$ = 0.8676 EUR
04.01.2020: 1$ = 0,8721 EUR (going up)
06.01.2020: 1$ = 0,8721 EUR (still the same)
07.01.2020: 1$ – 0,8702 EUR
08.01.2020: 1$ – 0,8709 EUR
10.01.2020: 1 USD = 0,8768 EUR
11.01.2020: 1 USD = 0,8761 EUR
15.01.2020: 1 USD = 0,8750 EUR
21.01.2020: 1 USD = 0,8783 EUR
27.01.2020: 1 USD = 0,8816 EUR
29.01.2020: 1 USD = 0,8844 EUR
31.01.2020: 1 USD = 0,8842 EUR
01.02.2020: 1 USD = 0,8788 EUR
05.02.2020: 1 USD = 0,8813 EUR
06.02.2020: 1 USD = 0,8827 EUR
07.02.2020: 1 USD = 0,8853 EUR
08.02.2020: 1 USD = 0,8876 EUR
11.02.2020: 1 USD = 0,8876 EUR
15.02.2020: 1 USD = 0,8978 EUR
18.02.2020: 1 USD = 0,8987 EUR
23.02.2020: 1 USD = 0,8976 EUR
26.02.2020: 1 USD = 0,8954 EUR
06.03.2020: 1 USD = 0,8672 EUR
16.03.2020: 1 USD = 0,8696 EUR
18.03.2020: 1 USD = 0,8736 EUR
22.03.2020: 1 USD = 0,9017 EUR
25.03.2020: 1 USD = 0,8964 EUR
27.03.2020: 1 USD = 0,8830 EUR
30.03.2020: 1 USD = 0,8760 EUR
01.04.2020: 1 USD = 0,8748 EUR
01.04.2020: 1 USD = 0,8821 EUR
02.04.2020: 1 USD = 0,8834 EUR
03.04.2020: 1 USD = 0,8894 EUR
04.04.2020: 1 USD = 0,8976 EUR
07.04.2020: 1 USD = 0,8998 EUR
11.04.2020: 1 USD = 0,8904 EUR
20.04.2020: 1 USD = 0,8952 EUR
23.04.2020: 1 USD = 0,8958 EUR
24.04.2020: 1 USD = 0,8990 EUR
25.04.2020: 1 USD = 0,9004 EUR
29.04.2020: 1 USD = 0,8955 EUR
01.05.2020: 1 USD = 0,8890 EUR
05.05.2020: 1 USD = 0,8875 EUR
06.05.2020: 1 USD = 0,8925 EUR
07.05.2020: 1 USD = 0,8990 EUR
08.05.2020: 1 USD = 0,9000 EUR
09.05.2020: 1 USD = 0,8966 EUR