$6*.$ Suppose that over the next three years, the inflation rate in Great Britain is expected to be $3\%($year one$),5\%($year $2),$ and $7\%($year $3).$ The inflation rate in U$.$S$.$A is expected to be $4\mathrm{.}5\%$ in year $1,3\%$ in year $2,$ and $6\%$ in year $3.$ If the current spot rate is $1=$$$1\mathrm{.}58,$ what is the expected spot rate in year three?

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