Savings and Investment
Saving and investment weigh on an economy's long-run level of wealth. Gregory Mankiw, the author of widely used economics textbooks, presents the market for loanable funds in them, within a broader chapter. This simplified model describes an economy in which national saving finances productive investment and the real interest rate balances the supply of funds (saving) and the demand for funds (investment).
Last updated: 16 October 2026
Definition
DefinitionThe fundamental national accounting identity establishes that, in a closed economy, national saving (S) necessarily equals investment (I): S = I. National saving is composed of private saving (income of households and firms not consumed) and public saving, which Mankiw's model treats as the budget balance (the government's surplus, or dissaving in the case of a deficit), because it counts public investment in government spending (G); in national accounts, a government can run a deficit while its saving is positive. This identity is derived from the equation Y = C + I + G.
The market for loanable funds is a simplified model: it represents the economy as a single market where the supply of funds (saving) meets the demand for funds (investment). In this model, the real interest rate is the equilibrium price: it determines how much savers receive for their savings and how much borrowers pay to finance their investments. Formally: S(r) = I(r), where S is increasing in r and I is decreasing in r.
Mankiw himself reserves this model for the long run. In the short run, he explains the interest rate by the supply of and demand for money (the theory of liquidity preference); in this framework, the central bank acts on the rate by changing the money supply (in practice, in normal times, it sets the rate and the quantity of money follows). The loanable funds model also leaves out money creation: according to a Bank of England article (McLeay, Radia and Thomas, "Money creation in the modern economy", 2014), when a bank grants a loan, it simultaneously creates a deposit in the borrower's account; it does not lend out savings deposited beforehand. Finally, in Keynesian analysis, the link can run the other way: investment, by changing income, adjusts saving (see "Paradox of thrift" in the Vocabulary).
How it works
A simple model, the market for loanable funds, presented in particular by Gregory Mankiw, describes how a country's saving finances its investment. It is a long-run model, which assumes three things: the country's output is set, in each period, by its labor, its capital and its technology; the country does not trade with the rest of the world and borrows nothing from it; all saving goes through a single market, where the real interest rate plays the role of a price.
- What is not consumed becomes a supply of funds. Households and firms set aside part of their income, and the government too when its revenue exceeds its spending.
- Firms and households borrow these funds to invest. They buy machines, buildings and new homes: this is the demand for funds, which is stronger the lower the real interest rate.
- The real interest rate equalizes the supply of and demand for funds. If more funds are offered than demanded, the rate falls; if funds are short, it rises. It settles where desired saving equals desired investment.
- More saving, more capital, higher output per person. The country accumulates machines and produces more per person; afterwards, this output stays higher, but grows only at the pace of technological progress.
Saving more is not always better: saving more means consuming less at first; in the long run, compared with what it would have been without this change, consumption per person increases only if the initial saving rate was below the golden-rule rate, that is, the saving rate that gives the highest consumption per person in the long run; beyond that rate, saving more reduces it.
A budget deficit weighs on investment, in this model: when the deficit widens, that is, when the gap between what the government spends and what it takes in grows, national saving falls, unless households save that much more to offset it. The government borrows to cover the gap; fewer funds are left for other borrowers, the real rate rises and some private projects are abandoned. This is financial crowding out; its actual size varies from one period to another and remains debated.
It is mainly the real rate that matters: a loan at 5% when prices rise by 3% a year costs only about 2% in purchasing power. Because they decide before knowing how much prices will rise, savers and borrowers look at the posted rate minus the inflation they expect.
Saving does not necessarily respond to the rate, nor always in the same direction: a higher rate makes saving more attractive, but it also makes it possible to reach the same goal, for example a sum for retirement, while setting less aside. For a saver, the two effects partly offset each other, and depending on the case one or the other prevails. In his macroeconomics textbook, Mankiw in fact draws, to keep things simple, a saving curve that does not depend on the rate, then shows the variant where saving rises with it, the one used in the definition above.
An open country can invest more than it saves: it then draws on foreign saving, by borrowing abroad or by selling part of what it owns to foreigners, and the gap between its saving and its investment shows up in its current account balance. For example, the US current account has been in deficit every year since 1982, except in 1991.
When it does not go as planned
Saving more can lower income: if all households want to save more at the same time, without firms wanting to invest more (for example because the rate does not fall enough or because their sales are expected to decline), consumption falls. Sales, output and incomes fall with it; in the end, total saving may not increase. This is the paradox of thrift: the idea, already present in Mandeville (The Fable of the Bees) and then in Hobson and Mummery (1889), was placed by Keynes at the heart of his analysis (1936), and the name was popularized by Samuelson (1948). The loanable funds model rules it out: output is fixed in that model, and a fall in the rate always boosts investment.
The rate cannot always fall far enough: in 2013, the economist Lawrence Summers revived the hypothesis of "secular stagnation," formulated by Alvin Hansen in the late 1930s. When people want to save far more than projects require, the real rate that would equalize the two can become negative. Yet a posted rate can hardly fall below zero: if inflation is low, the real rate cannot fall far enough. It is then no longer the rate that equalizes the amount people want to save and the amount they want to invest, but output: it falls, and incomes with it, until desired saving drops back to the level of projects. In the major developed countries, and apparently worldwide, real interest rates on long-term government borrowing fell by about 4.5 percentage points between the late 1980s and 2015 (Rachel and Smith, Bank of England working paper, 2015). Cautiously, the authors attribute most of this fall mainly to stronger desired saving, linked in particular to population aging and rising inequality, and to weaker desired investment. Slower expected growth counts for less in their calculation.
In the United States, real rates have risen sharply since 2022: when the Federal Reserve raised its rates to curb inflation, the real yield on 10-year inflation-indexed government bonds went from about −0.9% on average in 2021 to about 2% on average in 2025, versus 0.4% in 2019 (US Treasury). The open question is whether the neutral rate, the one that neither slows nor stimulates the economy, has risen too. In April 2023, the IMF judged this rise likely to be temporary: once inflation was under control, central banks in advanced economies should ease policy and bring real rates back toward their pre-pandemic levels, more or less closely depending on how persistent high public debt proves, how climate policies are financed and the extent of deglobalization.
A country's interest rate can depend on other countries' saving, which flows in to finance its investment: in 2005, Ben Bernanke, then a member of the Federal Reserve Board of Governors, put forward an explanation that he himself considered somewhat unconventional. According to him, the US current account deficit and the low level of real interest rates on long-term borrowing worldwide stemmed in part from a "global saving glut." This saving came in particular from oil-producing countries, from emerging Asian economies and from aging rich countries such as Germany and Japan. On this reading, US rates then depended in part on saving that was not Americans' own.
Conversely, for a long time saving crossed borders less than one would expect if capital moved freely: Feldstein and Horioka (1980) found that, in 16 OECD countries between 1960 and 1974, a country's average investment rate closely tracked its saving rate, as if each economy were almost closed. This link has since loosened considerably among the countries that make up the euro area: between 1991 and 2001, it had become weak there (Blanchard and Giavazzi, 2002).
Why it matters
In the Solow model, saving weighs on the long-run level of wealth, while only technological progress sustains durable growth of GDP per capita. A country that saves more can invest more, which raises its capital stock, productivity, and potential GDP. However, because of diminishing returns to capital, a rise in the saving rate raises the level of GDP per capita at the steady state, but not the long-run growth rate — the growth effect is only transitory.
In the loanable funds model, the real interest rate serves as a signal for allocating resources between present and future consumption. A high real rate makes saving more attractive (postponing consumption pays more), even though saving does not necessarily rise, and it discourages investments with low expected returns. A low or negative real rate encourages borrowing and investment, but can lead to inefficient capital allocation if unprofitable projects are financed.
Key points
The identity S = I is an accounting equality: in a closed economy, it always holds after the fact, but it does not say which of the two drives the other. In an open economy, a country can invest more than it saves by borrowing abroad (current account deficit)
In the loanable funds model, policies that encourage saving (budget surpluses, or tax incentives for saving if they raise national saving) shift the loanable funds supply curve to the right, lowering the real interest rate and raising equilibrium investment
Budget deficits reduce public saving, and therefore national saving, unless households save that much more to offset it. In the loanable funds model, they absorb part of the funds, raise the real interest rate, and crowd out private investment.
The "golden rule" saving rate is the one that maximizes consumption per capita in the steady state: it corresponds to the condition MPK = δ + n (the marginal product of capital must equal the sum of depreciation and population growth), which becomes MPK = δ + n + g once technological progress at rate g is introduced. Saving more than this rate paradoxically reduces that consumption, because too many resources are devoted to investment
Concrete example
ExamplesA simple calculation shows the crowding-out effect. Suppose national saving is 200 (in billions of euros per year), which does not depend on the rate, and investment demand is equal to 300 − 25 × r, where r is the real interest rate in %. Equilibrium is reached when 200 = 300 − 25 × r, that is a rate of 4%: investment is then 200. If the government spends 50 more without raising taxes, its deficit widens by 50 and national saving falls to 150; equilibrium then requires 150 = 300 − 25 × r, that is a rate of 6%, and investment falls to 150: it loses 50, as much as the deficit. Crowding out is total here because saving does not respond to the rate; if it rose with the rate, the rate would rise less and investment would lose less than 50.
Japan historically displayed a very high household saving rate (between 13% and 23% in the 1970s-80s), but in recent years it has fallen close to zero, sometimes turning negative, apart from the 2020 spike. Since 2000, this decline has stemmed mainly from the drop in elderly households' saving rate, far more than from population aging (Horioka, 2024). Despite a still-strong national saving rate (driven by firms), growth has remained sluggish for three decades, illustrating that saving alone is insufficient if profitable investment opportunities are lacking or if demographics are declining. Conversely, China maintained an investment rate exceeding 40% of GDP for two decades, financing spectacular growth but raising questions of overcapacity in certain sectors. In France, the household saving rate fell to 17.4% of gross disposable income in 2025, from 18.0% in 2024, and remains well above the euro area average (14.7% in 2025, Banque de France).
Further reading
ProgressionMankiw uses the market for loanable funds as a simple model: supply (saving) and demand (investment) determine the equilibrium real interest rate according to S(r) = I(r). He applies it to analyze the impact of three policies: saving incentives (which, in his model, increase private saving and shift the supply of funds to the right), a budget deficit or surplus (which changes public saving), and an investment tax credit (which increases the demand for funds). In each case, the model shows in which direction the real interest rate moves; investment too, with one exception: if saving does not depend on the rate, as in the Concrete example, an investment tax credit raises the rate without changing investment. This clarity makes it a convenient teaching tool.
The works cited in this explanation:
N. Gregory Mankiw, Macroeconomics and Principles of Economics: the market for loanable funds, the golden rule and crowding out.
Bernard Mandeville, The Fable of the Bees; John A. Hobson and Albert F. Mummery, The Physiology of Industry (1889); Paul A. Samuelson, Economics (1948): the paradox of thrift before and after Keynes.
Robert M. Solow, "A Contribution to the Theory of Economic Growth", Quarterly Journal of Economics, 1956.
John Maynard Keynes, The General Theory of Employment, Interest and Money (1936).
Alvin H. Hansen, "Economic Progress and Declining Population Growth", American Economic Review, March 1939.
Lawrence H. Summers, remarks at the IMF Annual Research Conference, November 2013 (secular stagnation).
Łukasz Rachel and Thomas D. Smith, "Secular drivers of the global real interest rate", Bank of England, Staff Working Paper No. 571, December 2015.
Ben S. Bernanke, "The Global Saving Glut and the U.S. Current Account Deficit", Sandridge Lecture, Richmond, March 10, 2005.
Martin Feldstein and Charles Horioka, "Domestic Saving and International Capital Flows", The Economic Journal, 1980.
Olivier Blanchard and Francesco Giavazzi, "Current Account Deficits in the Euro Area: The End of the Feldstein-Horioka Puzzle?", Brookings Papers on Economic Activity, 2002.
Michael McLeay, Amar Radia and Ryland Thomas, "Money creation in the modern economy", Bank of England, Quarterly Bulletin, 2014.
Charles Yuji Horioka, "Household Saving in Japan: The Past, Present, and Future", Osaka University, ISER Discussion Paper No. 1264, 2024.
IMF, World Economic Outlook, April 2023, Chapter 2: "The Natural Rate of Interest: Drivers and Implications for Policy".
US Treasury, Daily Treasury Par Real Yield Curve Rates; Banque de France, "Household savings", 2026-Q1.
The explanations below extend the models invoked here: Solow for capital accumulation, IS-LM for the short run, money for money creation, international trade for the balance of payments.
Loanable funds market
- Supply of funds (saving)
- Demand for funds (investment)
Market impact
MarketsThe real interest rate influences all asset classes. A negative real rate (nominal rate below inflation) tends to push investors toward risky assets (equities, real estate, crypto-assets), because safe financial investments offer zero or negative real returns. A high positive real rate generally makes bonds and money-market investments attractive relative to equities and favors a portfolio shift toward safety. The long-term real rate serves as the benchmark for discounting future income, and thus weighs on the valuation of most financial assets.
This concept as guided courses
The mechanism walked through in 7 steps, with simulators and exercises.