Low yields.

[Snoopy]

We have calculated that the sale of bonds over a three day period was not material to the fund value under the much larger downward value shadow of rising interest rates. But this was only considering a period of 3 days. Over 365 days, it might well be a different story.

I have been working my way through a whole year of NZB unit redemptions as laid out in post 10, and finally this exercise is finished: Result 8,020,000 units withdrawn.

The annual single year return for the NZB fund (after fees but before tax) was -0.02% (year to 10-08-2023). I now want to re-examine JeffW's idea of a possible explanation for this poor return: That being, sales of bonds are being made at a loss to meet fund redemptions. But this time I will look at data covering 365 days, not just 3.

On 10th August 2023 there were 145,647,077 NZB units on issue. On 10th August 2022 there were 102,951,618 NZB units on issue. That means overall there was a large inflow of money into the NZB fund over the year under consideration. Nevertheless that 'net increase' masks the fact that 8.02m units were withdrawn from the NZB fund during the year (for time line details of the withdrawals see post 10).

The underlying theory I am working on is that if a fund manager receives an inflow of new funds, then they can use their judgement as to when is the best time to invest those new funds. But if a unit-holder wants their money back, then the fund manager has no choice. They have to sell down immediately, whether the market timing is advantageous or not, to reimburse the unit holder.

For the purpose of this exercise I am assuming a 'worst case' scenario: Each and every one of those 8.02m units returned were sold at a disadvantageous price (a loss). In practice the NZB fund does run an ANZ 'NZ dollar current account'. That 'ANZ cash balance' may have offset the need for some of those disadvantageous price point sales that i am speculating exist. But bear with me. The idea is not to calculate an 'exact dollar value' of money lost. Rather, we want a ballpark figure of 'the possible money lost', just to see if such an amount comes anywhere near explaining why the NZB fund 'had a zero return' over the 10th August 2022 to 10th August 2023 year under examination.

As at 31st July 2023 (the latest available reporting record date as I write this), we were told that the NZB fund had a yield of 5.59% and a duration of 3.31 years. The five year government bond rate is the closest match to the 3.31 year duration of the total NZB bond weighted average portfolio. So I am using the five year government bond rate as a comparator. The five year government bond rates rose from 3.26% (10-08-2022) to 5.42% (10-08-2023) over the 365 days period of concern. (Source https://www.rbnz.govt.nz/statistics/...interest-rates). That kind of interest rate raise should reduce 5 year bond market spot capital values -on an annual basis- to:
3.26/5.42= 0.6015

of what they were before the interest rate rise. However, the NZB fund had an average 3.31 year duration. So the reduction in residual value over the whole fund due to that interest rate rise I estimate as:

0.6015^3.31 = 0.1859

Leaving aside the question of bond sales for the moment, this is the 'capital hit' I would expect the NZB fund to take as a result of interest rate rises. But what was the capital reduction per unit that actually took place over that year in question?

2.86665/2.92205 = 0.9810 (i.e. the actual capital loss was lower than expected, given my assumptions above.)

Did the sale of 8,020,000 NZB units, probably at a loss, -to meet redemption requirements- affect this? Well, 8,020,000/145,647,077 = 5.5% of the NZB portfolio. So I think the sale of those bonds potentially really does matter.

What was the coupon value these bonds were sold at? My rule of thumb is that company bond rates are a couple of percentage points above government stock rates. So I am saying the capital of these company bond rates probably sold on the secondary market for a yield of 5.42%+2%= 7.42%. The portfolio interest rate was 5.59% and average bond duration 3.31 years. I can therefore estimate the capital loss (actually fractional capital retained) on the residual capital from these bond sales to be:

(5.59/7.42)^3.31= 0.3916 =0.4

That means in round figures, 60% of the capital value of those bonds sold to meet repayments may have been lost. That sounds a lot. But how does this amount of cash relate to the total value of the fund? (Note that I have cast my eye over the unit values for the August 2023 year and settled on a unit value of $2.86 as typical, to use in this exercise).

8,020,000 x $2.86 x 0.6 = $13.762m (unit bond sales loss to meet redemption)
145,647,077 x $2.86779 = $417,685,230 (fund size, 10th August 2023)

=> Percentage of fund lost through selling at a loss = $13.762m/$417.685m = 3.29% (i.e. this is material)

Now go and have a look at the yields of the fund constituents 'as issued' (post 14). I haven't done a weighted analysis of those. But it does look conceivable that the weighted average interest rate received during the year (unadjusted for subsequent interest rate movements) was in the ball park of 3.29%. If that were true, we now have a credible explanation as to why this fund made a near zero return over the whole year ended 10th August 2023. I am not saying this is definitely the complete explanation. But it is at least a partial possible explanation that I intend to ruminate on overnight!

SNOOPY