You are considering purchasing $$20,000$ worth of British pound denominated CDs$.$ The current exchange rate is$1=$$$1\mathrm{.}60.$ You plan on investing for six months. According to current forecasts, in six months time the exchange rate should be$1=$$$1\mathrm{.}55.$ You desire a true $7\%$ APR. What is the minimum pound CD APR you would require to make the investment $($to the nearest basis point$)?$ a$)13\mathrm{.}68\%$ b$)12\mathrm{.}72\%$ c$)12\mathrm{.}48\%$ d$)13\mathrm{.}44\%$ e$)11\mathrm{.}75\%$