Assume that both a call option and a put option currently trade on Roblox Corporation stock and that both options expire in six months. The call option has a strike price of $$40$ and the put option has a strike price of $$50.$ What is the value of the call option at expiration and what is the value of the put option at expiration if the stock price of Roblox Corporation in $6$ months $($when the options expire$)$ is $$47?$

You purchased $1,000$ shares of common stock on margin for $$50$ per share using $50\%$ initial margin. The broker charges $10\%$ on the margin loan and requires a $30\%$ maintenance margin. After one year, the stock pays a $$1$ per share dividend and then you sell the stock at $$55$ per share. Compute your rate of return.