Madeline Manufacturing Inc.$$s current stock price is $$45$ per share. Call options for this stock exist that permit the holder to purchase one share at an exercise price of $$40.$ These options will expire at the end of $1$ year, at which time Madeline$$s stock will be selling at one of two prices $$25$ or $$50.$ The risk$-$free rate is $7\%.$ Using the binomial option pricing model, create a riskless hedged investment and answer the following question:

After the payoffs have been equalized and the riskless hedged investment is created, what is the value of the portfolio in one year? Round your answer to the nearest cent.