for someone who can both borrow and save money at the yearly mlerest rale $010\%.$

A five$-$year $$10,000$ bond with a $10\%$ coupon rate costs $$10,000$ and pays its holder $$500$ every six

months for five years, with a final additional payment of $$10,000$ made at the end of those ten payments.

Find its present value if the interest rate is: $($a$)6\%$; $($b$)10\%$; $($c$)12\%.$ Please answer the question step by step, do not use excel to generate the answers. Do not just post the explanations about how to calculate it$,$ answer the questions.