$1.$ Please discuss the differences in the cash flow layout between ordinary annuities and annuities due, and compare present values between these two different annuities.

$2.$ Describe and explain the time path that a premium bond follows to maturity, and how does it compare to the time path of a discount bond.

$3.$ Explain how coupon rate of a bond is related to the yield$-$to$-$maturity of this bond.

$4.$ Explain how the price of a bond is related to its yield$-$to$-$maturity.

$5.$ Describe how market interest rates affect the yield$-$to$-$maturity of a corporate bond $($or any corporate bond$).$

Thank you!!!