Discount, Par & Premium Yield Order — Q&A
Questions
Q1. A discount bond (price $800) has coupon 4%, CY 5%, YTM 6.7%, YTC 8.9%. Rank all four yields from lowest to highest.
Show answer
Coupon (4%) < Current yield (5%) < YTM (6.7%) < YTC (8.9%). This order is consistent for every discount bond.
Q2. A premium bond (price $1,100) has the same coupon and call terms. Rank all four yields from lowest to highest.
Show answer
YTC (1.9%) < YTM (2.9%) < Current yield (3.6%) < Coupon (4%). Premium ordering is the exact mirror image of the discount ordering.
Q3. ⚠️ A bond is purchased at par ($1,000). How do nominal yield, current yield, YTM, and YTC compare?
Show answer
All yields equal the coupon. No gain or loss from purchase price — return comes only from coupon payments. Keep it simple on exam questions about par bonds.
Q4. For a discount bond, how does each yield compare to the coupon?
Show answer
Current yield, YTM, and YTC are all higher than the coupon.
Q5. For a premium bond, how does each yield compare to the coupon?
Show answer
Current yield, YTM, and YTC are all lower than the coupon.
Q6. ⚠️ What is the most heavily tested aspect of yield questions on this material — calculation or relationships?
Show answer
Relationships (higher/lower ordering) are higher priority than computing every yield from scratch. NASAA emphasizes whether one yield exceeds another; current yield is the most likely calculation required.
Q7. Why is YTC the highest yield on a discount callable bond?
Show answer
The investor earns the discount over fewer years if called early — the same dollar gain is annualized over a shorter period, boosting the overall return.
Q8. Why is YTC the lowest yield on a premium callable bond?
Show answer
The investor loses the premium over fewer years if called early — the same dollar loss is spread over less time, depressing the annualized return.
Q9. What memory acronym do some test-takers use for yield ordering on the bond see-saw?
Show answer
“CYM Call” — Current Yield, yield to Maturity, yield to Call (in ascending order on the discount side of the see-saw).
Q10. On the bond see-saw, which side of the see-saw does a premium bond’s price point toward, and why?
Show answer
Upward — because the bond trades above par. The yield order on the premium side runs from lowest (YTC) at the bottom to highest (coupon) at the top.
Sources
| # | Source | Publisher |
|---|---|---|
| 1 | Achievable Series 65 — chapter 1.2.11 | Achievable (course text) |