An investor purchases a $30-$year treasury bond with a face value of $$100,000$ for $$92,000.$ The bond has

a semi$-$annual coupon rate of $10\%,$ and deposits the dividend payments into a savings account that pays

interest at rate of $5\%$ compounded semiannually.

a$)$ If the investor only deposits into the savings account come from the bond, how much money

will be in the investor$$s account at the end of the $30-$year period?

If inflation averages $2\%$ every six months over the $30-$year period

b$)$ What is the purchasing power of your answer to part $($a$)$ in today$$s dollars?

c$)$ What is the real rate of return on this investment?