MySQL 8.0

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WITH prices AS (
    SELECT 1000 AS price, '2021-03-13' AS date, 'A' AS type UNION ALL
    SELECT 1000, '2021-03-14', 'A' UNION ALL
    SELECT 1000, '2021-03-15', 'A' UNION ALL
    SELECT 1300, '2021-03-16', 'A' UNION ALL
    SELECT 1000, '2021-03-17', 'A' UNION ALL
    SELECT 1300, '2021-03-18', 'A' UNION ALL
    SELECT 1000, '2021-03-19', 'A' UNION ALL
    SELECT 1500, '2021-03-20', 'A' UNION ALL
    SELECT 1500, '2021-03-21', 'A' UNION ALL
    SELECT 1500, '2021-03-22', 'A' UNION ALL
    SELECT 2000, '2021-03-13', 'B' UNION ALL
    SELECT 2000, '2021-03-14', 'B' UNION ALL
    SELECT 2000, '2021-03-15', 'B' UNION ALL
    SELECT 2000, '2021-03-16', 'B' UNION ALL
    SELECT 2000, '2021-03-17', 'B'
),
cte AS (
    SELECT *, ROW_NUMBER() OVER (PARTITION BY type ORDER BY date) rn1,
              ROW_NUMBER() OVER (PARTITION BY type, price ORDER BY date) rn2
    FROM prices
)

SELECT price, MIN(date) AS startDate, MAX(date) AS endDate, type
FROM cte
GROUP BY price, type, rn1 - rn2
ORDER BY type, startDate;

price	startDate	endDate	type
1000	2021-03-13	2021-03-15	A
1300	2021-03-16	2021-03-16	A
1000	2021-03-17	2021-03-17	A
1300	2021-03-18	2021-03-18	A
1000	2021-03-19	2021-03-19	A
1500	2021-03-20	2021-03-22	A
2000	2021-03-13	2021-03-17	B