As a bond approaches maturity, the premium $($or discount$)$ reduces to zero. Prove this by

calculating the sales price with $7$ and $2$ years remaining to maturity for the following two bonds.

Assume a constant yield to maturity of $8\%.$

a$.$ A $10-$year, $10\%$ annual coupon bond

b$.$ A $10-$year, $6\%$ annual coupon bond

c$.$ Explain why the premium or discount reduces to zero as a bond approaches maturity.