You have an opportunity to purchase a Magic Box. The Magic Box produces a

$$50$ bill every year on the anniversary date...forever. As an added bonus it also pays you $$100$

on the purchase date. Your discount rate is $6\%.$

$$ What is the most you would pay for the box?

$$ How much would you pay if the box stops working after the $75$th payment?

$$ Provide a real$-$world example of a business that closely resembles a Magic Box.