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How do I know when the exam wants Macaulay duration instead of modified duration?
Ask what the question is requesting before you think about formulas. - If it wants the weighted-average time of promised cash flows, use Macaulay duration. - If it wants approximate percentage price change from a yield move, use modified duration. Qu
Why is modified duration still reported in years if I am using it to estimate price sensitivity?
Treat modified duration as an approximate percentage price sensitivity that is built from a time-weighted bond structure. That is why market tables may still display it in years even though the operational use is: `Approximate % price change = - Modi
Why does a callable bond break the normal duration shortcuts I use for straight bonds?
The shortcut fails because the bond's expected cash flows are no longer fixed. When yields fall, the issuer becomes more likely to call the bond. That shortens the expected life and caps some of the upside price gain.
Is immunization basically just matching my bond portfolio duration to the liability horizon?
Duration matching is necessary, but it is not the whole immunization story.
How should I read a key rate duration table without memorizing every single maturity point?
Read a key rate duration table as a map, not as a formula sheet. Each entry tells you where along the curve the portfolio is most vulnerable.
Why can a bond portfolio still lose money after I match its duration to the benchmark?
Matching aggregate duration only hedges a small parallel shift reasonably well. It does not guarantee protection if one part of the curve moves much more than the rest.
Why is convexity not a free lunch on a static yield curve?
Your skepticism is correct. Convexity does not generate return by itself in a completely motionless market. The more defensible interpretation is that convexity becomes valuable when yields fluctuate over time, when the manager rebalances, or when th
What does the convexity effect actually mean for equal rate moves?
There is a clean way to think about it. Positive convexity means the bond price-yield line bows outward. Because of that bow, a yield decline lifts the bond price by more than a yield increase of the same size pushes it down. If you imagine duration
How does convexity change a duration-based price estimate?
Duration gives a linear approximation. Convexity adds a curvature adjustment. If the yield move is tiny, the adjustment is often negligible. As the yield move becomes larger, or when answer choices are close together, the convexity term can change bo
Why does a barbell beat a bullet when duration is the same?
Matching duration only aligns first-order interest-rate sensitivity. It does not guarantee the same second-order sensitivity, which is convexity. A barbell spreads cash flows across shorter and longer maturities, so it often has more convexity than a
what are factor tilts and how can they improve portfolio returns
Factor tilts refer to the practice of tilting a portfolio towards specific factors that have been shown to provide a risk premium, such as value, momentum, quality, low-volatility, and size.
what is the default approach to equity management at cfa level iii
The default approach to equity management at CFA Level III is broad market index exposure. This is because active equity management has a low base rate of success after fees, especially in large-cap U
what are the key differences in equities between cfa level ii and level iii
At CFA Level II, the focus is on valuing equities using models such as multi-stage dividend discount models, residual income, and free cash flow valuation. In contrast, CFA Level III assumes that the
How do joint filers deal with estimated payments posted under the wrong spouse?
Treat it first as a posting problem, not as proof the couple failed the safe-harbor rule. On a joint return, estimated payments sometimes get trapped under the spouse account that made the online paym...
Why would I get an estimated tax penalty notice if I already made the payments?
Three common explanations exist: - the total paid was not enough - the total paid was enough, but not at the right times - the IRS did not credit the payments to the expected account or year That is w...
What should I do if I missed estimated tax payments in my first year as a sole proprietor?
Sending money now helps, but it does not turn a missed earlier installment into an on-time payment. Think about the problem in two parts: 1. What should be paid now to reduce additional exposure? 2. W...
When is the federal estimated tax safe harbor enough even if I will still owe in April?
Yes. Owing money in April does not automatically mean the underpayment penalty applies. Start with the safe-harbor threshold, not the final balance due. - Many individuals focus on paying at least `10...
How much of the pro-growth impact of a solar + transmission shock can government policy actually offset? Can a tariff regime fully neutralize a 0.5 pp trend growth tailwind?
Tariffs erode 10-30%, transmission restrictions 20-40%, fossil subsidies 15-25%, weak IP 5-15%, tech transfer bans 20-50%. A country with hostile policy across all channels can erode 70-80% of the benefit but rarely 100%. Bet on countries with both favorable geography AND favorable policy.
If solar efficiency doubles every 2-3 years AND long-distance transmission becomes practical, which specific industries become viable in previously-uneconomic remote areas? How should CME treat this?
Cheap equatorial solar + long-distance transmission unlocks hyperscale data centers, vertical farming, desalination, smelting, green hydrogen, distributed compute, and DAC carbon capture in previously uneconomic remote areas. The CME implications cut across sectors: energy-intensive industrials gain, legacy energy producers lose.
Why would equatorial economies benefit disproportionately from a doubling of solar panel efficiency every 2-3 years, and which countries would see the largest CME revisions?
Solar productivity gains scale with insolation, which is a clean function of latitude. MENA, sub-Saharan Africa, and parts of LATAM could see trend growth boosts of +0.3 to +0.9 pp, while Northern Europe gains almost nothing. Cross-country tilts should reflect this dispersion, adjusted for institutional quality and Dutch-disease risk.
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