This is the question and solution.

In the solution of a, I dont know how to compute puts HPR.

confused why they are -100%, -100%, 68.75%, 433.33%

Plz offer detailed solution for this probelm

16. You are faced with the probability distribution of the HPR on the stock market index fund given in Spreadsheet 5.1 of the text. Suppose the price of a put option on a share of the index fund with exercise price of $110 and time to expiration of 1 year is $12. a. What is the probability distribution of the HPR on the put option? b. What is the probability distribution of the HPR on a portfolio consisting of one share of the index fund and a put option? In what sense does buying the put option constitute a purchase of insurance in this case? c