“If the interest rates are low, then that will lead to more capital investment by producers because money is less costly to obtain.”
There’s a few things at work here. First is that the opportunity cost of money goes down. For instance no one will invest in a project where they will receive a return of 3 percent if the interest rate is 5 percent. More importantly, however, is that it is now less expensive to invest in long term projects. For instance if I am investing in a project that’s going to take 5 years, then depending upon the interest rate the amount of money which I owe is going to change dramatically, a mere percent change in the interest rate could make the difference between slight loss and significant profit. This is why in Austrian theory we generally believe that the most interest sensitive areas of production are the “original factors” of production or the factors which are furthest away from the consumer’s good, because those are the factors which go through the longest time to actually make into the final good.
At any rate a lower interest rate will mean that longer productive processes can be performed. If these longer processes can produce a greater quantity then they could theoretically be economically viable, and therefore firms will attempt to produce them. This means that greater physical output will be produced in the long term, and this is why saving, and abstention from further consumption is considered the key to growth.
To think of it holistically, the interest rate tells society how much it wants to save or spend. From a primitive economy/ hunter-gatherer point of view we have to decide whether or not we want to focus on building new spears/ baskets which can increase how much we can hunt, or whether or not we want to merely spend our time focusing on hunting/harvesting as much food as we can. We must decide whether or not to maximize our current output, or increase output in the future, and it is this absolutely crucial fact which the interest rate determines.
“On the other hand, if the interest rates are “too” low, consumers may instead save less and spend more because they don’t see a high enough return on their savings.”
If we assume that there are no changes in the money supply then this is the wrong way round. The interest rate functions in the same way as all prices and ratios do on the market, through supply and demand. The supply curve depends upon how much people are willing to save, the demand curve is the resulting price output of a loan at any one interest rate. Therefore, if there are no changes from the demand side, then there is no way that the interest rate can fall “too low”, without a change in the money relation, so that people will stop investing their money, the only thing which could happen is that people have a change in time preference and decide not to loan out at the same amount as the same quantity.
However, with the injection of new money into the economy the supply of money shifts to the right, so more money is offered at every interest rate, this in turn will cause people to stop saving their money (all else equal) based upon the slope of the supply curve at that interest rate. Thusly real investment decreases, and the further that it turns to consumer spending the worse the resulting crash, but at the same time government investment keeps interest rates lower than they were before, boosting actual investment on an unstable basis.
“It’s been my understanding that when the Fed keeps interest rates artificially low, this induces more capital investment because it’s cheaper to obtain, but it is disproportionate.”
Once again, it’s artificial only in that it’s new money and that ultimately it is unsustainable. The interest rate is a rate which is set by the market and influenced by the government, not the other way around.
“It’s malinvestment because the consumers have not indicated a shift in their preference to spend more.”
This alone wouldn’t make it malinvestment. It is from the perspective of the unaltered market, but from this standard all changes caused by governments are. There’s a reason why booms caused by an increase in money into the system, and not every spending projects by governments are deemed as “malinvestments” by Austrians, what makes it a malinvestment is that it’s ultimately unsustainable.
“Is the decision to save or spend more a function of the interest rate?”
Yes and no. In a world of a perfectly stable price level, no, because it’s entirely time preference which determines the interest rate, the interest rate doesn’t increase or decrease without a change in the supply or demand for money. When there are other factors involved, then yes, because money being injected into the loan market changes the interest rate regardless of the preference of most investors.
“The interest rate should reflect real market conditions with respect to the actual rate of return on an equal amount of capital investment.”
It’s not about return, the demand side for loans, but rather the supply side which matters here.
“What are the correct savings-consumption-interest rate dynamics?”
Have I answered this for you?