Explain the following statements:

a$.$ The effect of rise in interest rate will be more on bond with higher term to maturity$($when coupon rate is same$)$

b$.$ The effect of rise in interest rate will be more on bond with higher coupon rate $($when term to maturity is same

c$.$ The effect of same rise and fall of interest rate is not same on price of bond. There is convexity in bond price and interest rate relationship