Oilcans wrote: ↑Tue Jul 30, 2019 11:09 pm
With the individual bond, CUSIP # 603827VS2 which I also own and paid $5,626.45 plus premium of $21.53 for a total of $5,647.98. For a 5% coupon rate I am paid $125 semi annually. This computes to around 4.4% per year.
[...]
What am I missing?
1) you paid $5626.45 for $5000 face value of this bond issue; therefore the
premium you paid was $626.45. The $21.53 was the
accrued interest you paid at acquisition to the seller for the partial coupon period before the transaction; this is about 31 days interest so you must have bought the bond about one month into a six month coupon period. You paid $112.529 per $100 face value; but since this bond recently struck for 115.244 and today's ask is 115.872, I think you probably acquired this holding around 6 or 12 or 18 (etc) months ago rather than yesterday.
Because this bond will repay at par (100) at maturity or upon being called before maturity, loss of the acquisition premium must be accounted in calculating its expected return. This bond matures on 1-1-2025
but is callable at/after 1-1-2024, and a call at the first opportunity would be the worst (non-default) case; so an appropriate yield calculation amortizes the premium over the period between acquisition and 1-1-2024 (if bought at end-Jan-2019 that would be 4 years and 11 months; if bought at end-July-2018 it would be 5 years and 5 months; etc). Since the path of constant yield used for premium amortization is close to a straight line for a 5% coupon over 4-6 years, it's both easy and useful to approximate the effect of amortization as a constant adjustment to your notional 4.4% coupon yield once the acquisition date is known - for example, supposing you acquired it at end Jan 2019 then correctly you would have anticipated that the premium amortization would eat about $127 of your $250 of coupon income each year, so your
Yield-To-Worst at acquisition was probably about 2.2% rather than 4.4%. According to my broker's screen, today's buyer at $115.872 should expect YTW of 1.289% -- for today's buyer, this lower yield manifests as a higher premium, to be amortized over a shorter period, effectively taking a bigger bite out of the coupon interest rate.
2) the distribution yield on FTABX is higher today than its SEC yield. Roughly speaking, this tells you that that the yield curve over the range of maturities in its portfolio is, on average, lower than when its holdings were acquired.
If the yield curve were to freeze going forward, then the fund's NAV would decrease over the course of time, recapitulating the amortization of an individual premium bond in the aggregate. Because of this effect, the SEC yield really is a more appropriate measure of a fund's expected return than its distribution yield (neglecting the effect of taxation anyway, which even for a muni fund can be nontrivial in the form of capital gain/loss when shares are sold). Since Fidelity charges 0.25% (net) to manage this fund, we can take 2.08% + 0.25 = 2.33% as the yield measure for its underlying bond portfolio.
Since the market prices bonds to reflect aggregate perception of risk, comparing the fund's portfolio's yield (ER-adjusted as above) against that of another bond or fund
of like duration reveals their relative credit (default) risk; but in this case, the fund's duration of 6.76 years differs too much from the individual bond's 4.4y (to first call) for a useful comparison. This particular bond issue may be pre-refunded, in which case it would have negligible credit risk; but typically, the most important difference between FTABX and any individual municipal bond issue is the rlower idiosyncratic credit risk offered by the fund due to the breadth of its portfolio.
My advice is to learn the detailed math of yield on individual bonds and of funds as portfolios of bonds; and until you understand these much better than demonstrated in the OP, to stick with funds - for new acquisitions, anyway.