* KOSPI hits 5-week high, but falls for month

* Korean won sees best month since April 2021

* South Korea benchmark bond yield jumps

* For the midday report, please click

SEOUL, May 31 (Reuters) - Round-up of South Korean financial markets:

** South Korean shares rose on Tuesday to their highest in five weeks, led by foreigners' strong buying on improved sentiment regarding China's economic outlook. The Korean won hit a near six-week high, while the benchmark bond yield jumped.

** The benchmark KOSPI ended up 16.24 points, or 0.61%, at 2,685.90, its highest close since May 2.

** For the month, the index fell 0.34%, extending losses to a second straight month after a 2.27% decline in April.

** China's cabinet announced a series of new policy measures on Tuesday to bolster the economy, while its factory activity contracted at a slower pace in May as COVID-19 curbs in major manufacturing hubs were relaxed.

** Positive investor sentiment on China affected stock markets across Asia and led to a strong inflow of foreign money into the local market, said Eugene Investment and Securities' analyst Huh Jae-hwan.

** Among the heavyweights, Samsung Electronics fell 0.44% but peer SK Hynix rose 0.93%. Battery maker LG Energy Solution gained 1.02% while its parent company LG Chem jumped 5.03%.

** Foreigners were net buyers of 1.06 trillion won ($856.49 million) worth of shares on the main board, marking their biggest daily purchase since August 31, 2021.

** The won was last quoted at 1,237.2 per dollar on the onshore settlement platform, 0.11% higher than the previous session and the highest close since April 20.

** South Korea's won currency strengthened 1.51% against the dollar for the month, ending a two-month falling streak with its best performance since April 2021.

** In offshore trading, the won was quoted at 1,237.3 per dollar, down 0.2% from the previous day, while in non-deliverable forward trading its one-month contract was quoted at 1,236.7.

** In money and debt markets, June futures on three-year treasury bonds fell 0.25 points to 105.44 in late afternoon trade.

** The most liquid 3-year Korean treasury bond yield rose by 9.7 basis points to 3.030%, while the benchmark 10-year yield jumped by 12.1 basis points to 3.326%. ($1 = 1,237.6100 won) (Reporting by Jihoon Lee; editing by Jason Neely)