The answer is 0.13. I can't see why.

The initial price of a stock is $45. The stock does not pay dividends. The continuously compounded risk-free annual interest rate is 10%. An American call option on the stock expires in 1 year and has a strike price of $40. A 3-month European call on a put with exercise price $0.80 allows the owner to buy a European put option expiring at the end of year 1 on the same stock with strike price $40. After 3 months, on the day the compound option expires, the price of the stock is $48, and the American call option has a price of $11.82, with 9 months left to expiration. Calculate the payoff of the call on put compound option on the day it expires. The initial price of a stock is $45. The stock does not pay dividends. The continuously compounded risk-free annual interest rate is 10%. An American call option on the stock expires in 1 year and has a strike price of $40. A 3-month European call on a put with exercise price $0.80 allows the owner to buy a European put option expiring at the end of year 1 on the same stock with strike price $40. After 3 months, on the day the compound option expires, the price of the stock is $48, and the American call option has a price of $11.82, with 9 months left to expiration. Calculate the payoff of the call on put compound option on the day it expires