Suppose a stock price can go up by $17\mathrm{.}25\%$ or down by $15\mathrm{.}25\%$ over the next year. You own a one$-$year put on the stock. The interest rate is $8\%,$ and the current stock price is $$69.$

What exercise price leaves you indifferent between holding the put or exercising it now? $**$The correct answer is not $76\mathrm{.}03$

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

How does this break$-$even exercise price change if the interest rate is increased?