How Level I tests bond pricing, yield measures, spread conventions, and spot-par-forward curve logic.
Level I bond valuation is not just a calculator exercise. The hard part is often choosing the right pricing or yield framework before doing any arithmetic.
Candidates usually miss these questions for one of four reasons:
The stronger reader asks what the question is really measuring before calculating anything.
For a plain fixed-rate bond priced on a coupon date:
$$ P = \sum_{t=1}^{n} \frac{C}{(1+y)^t} + \frac{M}{(1+y)^n} $$
where (C) is the coupon payment, (M) is maturity value, and (y) is yield per period.
The economic point matters more than the notation: bond price rises when the required yield falls because the same promised cash flows are discounted less heavily.
| Bond condition | Relationship you should know | What the exam is testing |
|---|---|---|
| Coupon rate = yield to maturity | Bond trades at par | Whether you recognize the par condition quickly |
| Coupon rate > yield to maturity | Bond trades at a premium | Whether you know why higher coupons become more valuable when market rates are lower |
| Coupon rate < yield to maturity | Bond trades at a discount | Whether you can classify the bond before calculating |
| Longer maturity, same coupon and yield change | Greater price sensitivity | Whether you understand timing risk, not just bond labels |
This is why rough directional reasoning is so important. It catches bad answer choices before the full calculation.
| Measure | What it is good for | Common Level I trap |
|---|---|---|
| Yield to maturity | One internal-rate-of-return summary for the full promised cash-flow stream | Treating it as if realized return is guaranteed regardless of reinvestment and sale assumptions |
| Current yield | Coupon income relative to current price | Confusing income yield with total return |
| Money market yield | Conventional annualized yield for short-term instruments | Comparing it directly to bond-equivalent measures without checking the convention |
| Yield spread | Extra yield over a benchmark | Forgetting that the benchmark choice matters |
The exam often gives multiple quoted yields and asks which one actually answers the question being asked.
Floating-rate instruments are usually read through a reference rate plus a quoted spread. Money market instruments are often quoted with annualization rules that do not match standard bond-yield conventions. Level I does not want you to memorize every market custom in isolation. It wants you to notice that short-term instruments and floating-rate notes can require different yield language than fixed-rate bonds.
| Curve | What it represents | Why it matters |
|---|---|---|
| Spot curve | Discount rate for a single cash flow at each maturity | Best for discounting each bond cash flow directly |
| Par curve | Coupon rates that price par bonds across maturities | Useful for reading the market’s par borrowing rate structure |
| Forward curve | Rates implied for future periods | Useful for linking maturities and no-arbitrage relationships |
The classic forward-rate link is:
$$ (1+s_2)^2 = (1+s_1)(1+f_{1,1}) $$
The equation matters because it ties together two ways to invest across time. If those paths implied different risk-adjusted results, arbitrage would exist.
A bond has a coupon rate below current required yield. One answer choice says the bond should trade at a premium because its cash flows are fixed. That answer sounds plausible only if you ignore the pricing relationship. A stronger reader immediately knows the bond should trade at a discount, then checks whether the calculation supports that direction.
That is typical Level I design: first classify, then calculate.
An analyst says a bond is attractive because its current yield exceeds its yield to maturity. What is the strongest response?
Best answer: That statement alone is not enough, because current yield considers coupon income relative to price but does not capture the full time-value effect of price convergence to maturity.
Why: Level I often tests whether you know which yield measure is too narrow for the full valuation problem.