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Fixed income- ALM Portfolio statistics vs weighted avg (durations and ytm)

“With a flat yellow curve there is no difference between the 2 approaches. 

In upward sloping curve IRR and portfolio duration is higher than average duration and YTM of bond “ 

This is because portfolio statistics reflect all cash flows to be receive- can yall please expand on this point? So this suggests that YTM or duration doesnt reflect all cash flows, why or why not? 

Why is it that a flat yield curve is not impacted by 2 methods and only upward sloping yield curve is?

On a lighter note, How in the world of god do I rememebr all of this information when I have no background in Fixed income/portfolio management? 

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The above paragraph is saying there will be differences between cashflow-based and weighted average-based measures of portfolio statistics if the yield curve is not flat (and they illustrated this with an upward sloping example).

A little too mathematical for me, the way I remember it is as such:

The average of a flat line (ie flat yield curve) is a flat line. The average of different slopes (eg when you average different segments of the yield curve due to where cash flows are) is another slope. This another slope may not be the same as the slope implicit in your cashflow-based measure, hence a difference in values.

Hope it helps.

Concise 70-page Fixed Income Level 3 2020 Notes: www.amazon.com/dp/B083KFR38Z

RickSanchez wrote:

“With a flat yellow curve there is no difference between the 2 approaches. 

In upward sloping curve IRR and portfolio duration is higher than average duration and YTM of bond “ 

This is because portfolio statistics reflect all cash flows to be receive- can yall please expand on this point? So this suggests that YTM or duration doesnt reflect all cash flows, why or why not? 

Why is it that a flat yield curve is not impacted by 2 methods and only upward sloping yield curve is?

On a lighter note, How in the world of god do I rememebr all of this information when I have no background in Fixed income/portfolio management? 

Upward sloping curve means longer term bonds have higher YTM hence lower market value.

So when you combine all the bonds into a portfolio (short-term, medium-term and long-term bonds), you get a portfolio of cash flows but where the market value is averagely lower (because of the lower-value long term bonds compared to the higher-value short term bonds). So the lower the market value of the portfolio, the higher the YTM of the portfolio (or we call it cash flow yield) compared to just a market-value-weighted-average of YTMs.

With more cash flows in the portfolio + below-average market value (small base), the portfolio duration is also higher than compared to the market-value-weighted-average duration.

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