I was mulling over a thought recently. It seems that over the last nine months I’ve become so enamoured with the fixed income I secured with an annuity when first retiring that a little voice in my head keeps whispering to load up on some more.
At the moment I have a term annuity that lasts ten years and covers all my essential spending. Out of curiosity I decided to get some quotes for a single payment immediate annuity (SPIA). And although I’ve put the idea on the back burner until I’m older, probably mid to late sixties, the numbers looked quite good: 4.95% with a 3% COLA for my spritely 58 year old self. Alternatively I could have got a level annuity with a 7% rate.
Even though I’m not buying, it occurred to me that working through the figures would be an excellent example on the effects of long-term inflation on fixed income. The contrast is illuminating. That level annuity at 7% sounds good at first look—for every $100,000 I hand over, I’d receive $7,000 annually for life. Simple, straightforward, and the payout never changes. The COLA option at 4.95% looks anaemic by comparison, delivering just $4,950 in year one for the same premium. But then it gets interesting.
Fast forward a decade, and that 3% annual adjustment has compounded quietly in the background. By year ten, my COLA annuity would be paying $6,460 annually—still trailing the level payment, but the gap has narrowed considerably from that initial $2,050 difference. Another decade out, at year twenty, the COLA payment reaches $8,440 while that level annuity stubbornly sits at $7,000. The inflation-adjusted income has overtaken the fixed payment, and the crossover happened somewhere around year fourteen.
The real eye-opener comes when you extend the timeline to thirty years. That 3% COLA, which seemed almost miserly at the start, has compounded the initial payment to $11,020. Meanwhile, the level annuity remains frozen at $7,000—meaning the purchasing power of that payment has been steadily eroded by three decades of inflation. If we assume a modest 2.5% inflation rate over that period, that $7,000 would only buy what $3,360 purchases today. The COLA annuity, by contrast, has been climbing alongside inflation, preserving its real value.
When I tally up the total nominal payments over those thirty years, the level annuity delivers $210,000 while the COLA option pays out $237,877—a difference of nearly $28,000. But the real story emerges when I adjust those payments for inflation to compare their value in today’s dollars. The level annuity’s $210,000 in nominal payments is worth only $100,890 in real terms. The COLA annuity’s $237,877 holds its value far better, equating to $164,663 in today’s purchasing power. That’s a 63% advantage in real terms—the COLA option delivers substantially more actual buying power over the long haul, even though it started with those meagre early payments.
This analysis shows how the COLA option is essentially paying to protect against inflation risk, even though it costs significantly in the early years. It’s a good example of why not to underestimate the corrosive power of inflation when considering annuity and pension payments. It also helps to explain why some want to delay social security for the biggest possible base for future COLA increases.
I think I’d rather have a TIPS ladder.
Great to do the comparison with the COLA. I purchased a DIA (SPIA that pays out at a later date) w/o a COLA. Logic being the Social Security pymt has a COLA and the bulk of the assets (the portfolio) should provide an inflation hedge. The breakeven point as you point out, is down the road a
long while.
Mark, this is an excellent post. I bothered to read through all the comments, and see that the numbers in the main (first) post are not correct. Would it be possible to update them to be correct? Otherwise you have to read through the comments, in the correct order, to figure out what is going on. The problem with this is, of course, the comments then become meaningless.
Guys, I doff my hat to you both. Your expertise and rigour is an order of magnitude above my attempt to work through the numbers.
Rick, let me make sure I understand what you’re saying: when properly valued in present value terms, there’s no clear financial advantage to taking the COLA option over the level payment? That seems counterintuitive given how much the COLA grows over time. Am I missing something, or is the key insight that insurance companies have priced these to be roughly equivalent, and the choice is really about when you want the money rather than how much total value you get?
It’s a good reminder not to let an amateur like me start building spreadsheets without fully understanding the methodology. Appreciate you both tightening up my analysis.
Money earlier is worth more than money later. The level option pays more than the COLA option early on, so it should make sense that the level option looks more attractive in real figures than it does in nominal figures.
Mark, you did a good job with a tough problem. Your numbers were very close to ours with the exception of the $100,890 value. Was that a PV calculation of the 30 year stream of $7,000 at 2.5%? That would get close to the $100 K value.
I think your insight about insurance companies is correct. What would be their incentive to sell two similar products, but one with a 63% higher value? Why would anyone buy the level version?
PV is a powerful tool but not always intuitive. I make many mistakes and find I have to check my work and really think it through. I guess it’s fortunate I’m a nerd who enjoys the challenge.
Rick, looking back over my scribbles and notes, I think I’ve possibly found my mistake. I mixed up figures from two different calculations.
In an earlier attempt, I discounted the total 30-year sum ($210,000) as if it were a single lump sum received at year 30, rather than discounting each annual payment individually. I then accidentally used that wrong figure in the article instead of the correct calculation, where each year’s payment is discounted separately.
What a rookie error. I’m such a turkey, which I guess is appropriate for the time of year! Happy Christmas. (I got your message from Bogdan)
Mark, no worries. A wise man once told me that the only people who don’t make mistakes are liars, and those who never try anything. Jonathan used to check my articles carefully and often found errors, as have any number of readers. Bill Perry kindly saved me from a major tax faux pas when i was considering tweaking my mortgage from our primary home to our vacation home. This kind of respectful interaction is one of my favorite parts of HD. Merry Christmas.
I love this post. I love the time value of money. Finance would be so boring without unknown futures and human emotion that we (try to) synthesize into interest rates. It’s like romance that we turn into dating or marriage or running for the hills!
First, this highlights one of the most important aspects of life – what looks best now may not be best long-term. I want to do another romance metaphor, but I’m already in hot water around here. 🙂
Second, and insignificant is that the correct COLA annuities are..
Year 10: $4,950 x 1.03^9 = $6,458.63 (post is correct)
Year 20: $4,950 x 1.03^19 = $8,679.85 (post shows $8,440)
Year 30: $4,950 x 1.03^29 = $11,665.00 (post shows $11,020)
Third, it’s time to get a visual on the comparison..
Fancy Graph™ (with an unexpected conclusion!).