Use the information below to determine whether the August $160$ puts and calls

conform to the put$-$call parity rule for European options. If they do not, suggest a

strategy for arbitrage. The option prices were observed for a stock on July $6$ of a

particular year. Ignore dividends on the stock. The stock is priced at $$165\mathrm{.}13.$ The

expirations are August $21$ and October $16.$ The risk free rates are $5\mathrm{.}50\%$ for August

and $5\mathrm{.}88\%$ for October.