Consider a simple one-period binomial framework, where you want to price a one-year European put with strike $45 on Stock X. This stock does not pay dividends, is currently priced at $50 per share, and may either increase in value by 10% or decrease in value by 10% (simple). Elsewhere in the economy, you observe a Stock Y (that also does not pay dividends) priced at $100 per share. Both a one-year call and one-year put on this Stock Y at a strike of $101 are priced at $3. Based on this information, what is the price of the put on Stock X?