try this one from sample exam discount, investor, selling, holding

joemoran

For bonds that have the same maturity date and same yield to maturity, the reinvestment risk for an investor holding the bonds to maturity is greatest for the bonds that are selling at:
A. par value
B. A premium to par value
C. A discount to par value as a result of the bonds being issued as zerocoupon bonds
D. A discount to par value as a result of market yields increasing after the bond was issued.

dece2011

B.
The higher the coupon, the more to reinvest.

strikethree

Correct answers, And I somewhat understand where you’re coming from. But whether you’re selling at a premium or a discount coupon is still the same, so wouldn’t a bond selling at a discount mean that a bigger portion of your investment is the coupon and therefore you have larger reinvestment risk?