I'd just like to suggest "money" as a synonym for the "finance" tag.
One of my questions was recently tagged with finance, I remember that I did search the tags for "money" but it did not appear. This would solve this problem.
This gets interesting because tags work in a different way than human linguistics.
In linguistics, we have constructs such as supersets, subsets, and overlapping sets. In contrast, with tags, everything is linear because all tags are at the same hierarchical level.
Finance topics can include accounting, investing, savings, loans, mortgages, depreciation, budgeting, and more.
Money topics can include currency identification, currency conversions, numismatics, finance, and more.
Even though money initially appears to be a superset of finance, in fact, money is a tool used in finance. It's easy to talk about money without talking about finance, and it's equally easy to talk about finance without talking about money. On the other hand, talking about finance without talking about assets is challenging. But I think it's safe to say that very few people would use an assets tag.
The relationships between these lingual constructs get complicated quite quickly.
Creating SE tags at the appropriate level of detail is challenging, yet important. If we get very detailed, it becomes easy to find posts, but difficult for people to assign the most appropriate tags. If we get too general, the tags become fairly useless.
We currently have 41 open (4 closed) QAs with the finance tag and only 9 open QAs (1 closed) with the accounting tag. Some of the ones tagged with finance are accounting questions, and some of the ones tagged with accounting are finance questions. The lines get blurred very quickly. Using the accounting tag will not find all the accounting QAs, and using the finance tag will not find all the finance QAs.
TL;DR The bottom line is that we have at least one user who did not find the finance tag, but did think of using money.
For Software Recommendations SE, at this time, I think it is a good idea to have a single tag for everything that is finance or money related. Currently, that is 50 open questions. This way, users will have a single tag to find all such QAs.
The terms money, accounting, and bookkeeping can then be set as synonyms for finance.
Another option is to have tags with a higher degree of granularity. More granularity makes it less likely that an answer will be included in a "search by tag" operation. This can make it harder to find QAs because they won't be included in the results. But it can also make it easier to find QAs because there will be fewer search results to sift through.