The delta of a call option is $0\mathrm{.}6.$ The current price of the call is $$5$ and that of a put at the same strike is $$4,$ and the stock is at $$100.$ What is the approximate price of the put if the stock price increases to $$100\mathrm{.}50?$

Question $3$ options:

a$)$

$$3\mathrm{.}60$

b$)$

$$3\mathrm{.}80$

c$)$

$$4\mathrm{.}20$

d$)$

$$4\mathrm{.}50$