Calculate the value of a bond that is expected to mature in $100$ years with a $$1,000$ face

value. The coupon rate is $8\%,$ and the yield to maturity is $5\%.$ Interest is paid annually.

In $2022$ the Phoenix region experienced a $13\%$ inflation rate. If the purchasing power of

your saving decreased by $6\%$ over the same period, what rate of return did you get on your

investment?