When is $$700$ million not $$700$ million? Shohei Ohtani signed a reported

$10$ year $$700$ million contract to play baseball for the Los Angeles Dodgers

in December $2023.$ The contract pays $$2$ million a year for $10$ years. The

contract pays $$68$ million each year for ten years after its expiry: it defers

$$68$ million a year. Assume the interest rate is $5\%.$ Assume all payments

occur at the end of a year.