Determinants for a put option on a stock.

S$)$ If the stock price increases. The put option value: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_.$

X$)$ If the Exercise price increases. The put option value: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_.$

v$)$ If the Volatility increases. The put option value: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_.$

T$)$ It the time to expiration increases. The put option value: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_.$

r$)$ If the interest rate increases. The put option value: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_.$

div$)$ If the dividend payouts increase The put option value: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_.$