Suppose a stock price can go up by $16\mathrm{.}25\%$ or down by $14\mathrm{.}25\%$ over the next year. You own a one$-$year put on the stock. The interest rate is $10\%,$ and the current stock price is $$65.$

What exercise price leaves you indifferent between holding the put or exercising it now?

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?