Coinspeaker MRNA Stock Price Up 5% as Moderna to Start Testing COVID-19 Vaccine on 30,000 People in JulyModerna (MRNA) stock price is climbing to its ATH of $69 again. Currently, the shares are trading at around $63.MRNA Stock Price Up 5% as Moderna to Start Testing COVID-19 Vaccine on 30,000 People in July