Book summary “Value averaging”: summary

Introduction

Managing your own portfolio for retirement or long-term growth presents a constant challenge. You face volatile markets, emotional decision-making, and the difficulty of timing purchases and sales correctly.

Value averaging offers a disciplined formula investment strategy to solve this problem. Instead of investing a fixed amount of money, you target a specific portfolio value growth each period. This mechanism automatically forces you to buy more shares when prices fall and sell shares when prices rise.

The book outlines the mechanics of this strategy through five core areas:

• How time diversification affects long-term market risk and returns.
• Why value averaging outperforms traditional dollar cost averaging.
• How to manage long-term compounding and periodic adjustments.
• What Monte Carlo simulations reveal about tax efficiency and performance.
• How market dynamics and revaluation frequencies dictate execution success.

1. Risk and Market Returns

Over long periods, the stock market delivers substantial compound returns while time diversification significantly reduces the variability of returns.

Investing in equities exposes you to sharp day-to-day and year-to-year price swings. A one-dollar investment at the end of 1925 grew to $533.64 by the end of 1991. This performance represents a 9.98% compounded annual return while inflation averaged 3.2%.

The average monthly return was 0.95%, or 12% annualized. Annual returns ranged widely from a 44% loss to a 58% gain. Across 792 months of market return data between 1926 and 1991, 55% of daily returns were positive.

Asset class risk and return

Investments carrying higher risk have historically provided correspondingly higher average annual returns over long periods. Price risk and duration-based price risk dictate these outcomes across different financial instruments.

Short-term Treasury bills returned 3.8% with minimal price variability. Long-term Treasury bonds returned 5.1%. Top-grade corporate bonds returned 5.7%. Common stocks returned 12.1% due to the high level of risk borne by equity investors.

As time increases, the upward trend of the market compounds while random short-term price bounces average each other out. Examining four-year and eight-year holding periods shows a dramatically narrower distribution of returns with virtually no prolonged losses over the longest spans. Time diversification lowers the probability of loss for patient participants.

Market timing dangers

Attempting to actively time market entry and exit points is exceptionally difficult and usually leads to poor investor performance. Market timing lures participants into emotional trades during peaks and troughs.

Individual investors tend to buy high during bull market euphoria and sell low out of panic during bear markets, destroying their returns. Perfect hindsight timing could turn a $100 investment from 1925 into nearly a million dollars by 1991, yielding a 14.94% compound annual return with a final fund value of $981,848.

An investor moving into and out of the market at the worst possible years could have reduced an initial $100 investment down to the cost of a Big Mac and fries by 1991. Formula strategies remove these emotional pitfalls by replacing human guesswork with disciplined rules.

2. Dollar Cost Averaging and Value Averaging

Dollar cost averaging provides a disciplined mechanical approach that automatically buys more shares when prices are low and fewer when they are high. You invest a fixed dollar amount at regular intervals regardless of market conditions. This simple habit avoids lump-sum peak buying. It also lowers the average cost of acquired shares below the simple average market price over the investment period.

Dollar cost averaging provides a mechanical buying approach, but value averaging enhances this by targeting portfolio value growth and enforcing a builtin selling discipline.

Investing $100 monthly in a precious metals mutual fund over a 24-month period purchased more shares at a low price of $2.99 and fewer shares at a high price of $7.47. This pattern achieved a 4.03 percent annual internal rate of return.

You can follow this single rule:

• Invest the same amount of money each time period regardless of the price.

Fixed-amount dollar cost averaging fails over very long investment horizons because fixed contributions fail to keep pace with rapid stock market growth. Over a 66-year period, a fixed $1 monthly dollar cost averaging strategy lagged behind a constant share strategy. The fixed contribution amount represented an increasingly negligible fraction of the growing market value, leaving you under-exposed to later market gains. The fixed strategy yielded an 11.03 percent annualized return while the constant share strategy reached 11.24 percent.

Value averaging is a formula investment strategy that dictates portfolio value growth by a set amount each month rather than investing a fixed sum. Instead of buying a fixed dollar amount of stock, you adjust purchases or sales to ensure the total portfolio value increases by a predetermined amount, such as $100 every month. When prices drop, you must spend more than the base amount to cover lost value. When prices rise significantly, the strategy may require selling shares to skim off the excess value.

Value averaging naturally forces investors to sell at market peaks and buy heavily during market troughs without requiring market timing. Because the strategy targets a precise portfolio value, a substantial market surge automatically pushes the portfolio above the target, dictating a sale of shares. Conversely, market dips require larger cash injections to meet the target value. This mechanism removes emotional panic selling at bottoms and prevents over-investing at market peaks.

In August 1986, after the share price rose from $2.99 to $3.60, the portfolio reached $842.81 against an $800 goal, requiring the sale of 11.89 shares to skim off the $42.81 excess. In the 24-month mutual fund example starting January 1986, you sold shares in 8 out of 24 months to maintain the $100 monthly value increase. This process resulted in a net average share cost of $4.07 and a 20.1 percent annual return compared to dollar cost averaging's 4.0 percent return.

Pure or fixed value averaging fails over long investment horizons because a static linear value goal becomes insignificant compared to overall market growth. In a pure linear value averaging plan, adding a fixed amount to the target value every month results in the portfolio eventually shrinking out of the market. As existing shares compound and grow, the required net investment drops to zero, and the strategy systematically forces you to liquidate holdings to match the slow-moving value path. A 66-year pure value averaging strategy starting in 1926 with a $1 monthly value increase resulted in a final portfolio value of only $792, alongside a compounded annual return of 10.80 percent, compared to over $422,000 for a constant share strategy.

Value averaging can match long-term market growth if the value path incorporates a compound growth adjustment. To achieve adequate market exposure comparable to constant share strategies over long periods, the value path must be adjusted with a growth factor higher than inflation. By compounding the target value growth rate monthly, the strategy invests enough capital to harness the full long-term growth of the stock market while retaining the tactical return advantages of value averaging. Adjusting the monthly value increase rule by a 0.79 percent monthly growth rate, which equals a 9.90 percent annualized rate, from 1926 to 1991 yielded a final portfolio value of about $420,000 and an increased return of 12.56 percent.

3. Readjusting the Investment Plan

Lump-sum investments compound over multiple periods using growth factors, meaning nominal annual rates must be properly converted to effective periodic rates. The future value $V$ over $t$ periods equals the cash investment $C$ multiplied by the growth factor $(1 + r)$ to the power of $t$, where $r$ is the rate per period matching the duration of $t$. Banks quoting a nominal annual rate compounded monthly actually pay a higher effective annual yield due to compounding interest on interest.

A bank paying a 12 percent rate compounded monthly yields an effective annual rate of 12.68 percent over 12 months, where a $1,000 deposit grows to $1,126.82.

Taxes significantly alter the required present investment needed to reach a future goal, depending on whether the account is fully tax-deferred or fully taxable. A mother needing $100,000 in 18 years at a 10 percent return needs to invest $17,986 today with no taxes, $26,844.64 today in a tax-deferred account at a 33 percent bracket, and $31,120 today in a fully taxed account. Periodic investments, or annuities, allow investors to accumulate large future sums through regular contributions made at the beginning or end of each period. To reach a $100,000 goal in 18 years at a 10 percent annual return, you must contribute $2,193 annually at the end of each year, or $1,994 annually at the beginning of each year.

When market returns deviate from expectations, you can recalculate required periodic investments by treating current holdings and future contributions as two separate pools.

The two-pot technique treats accumulated wealth as the first pot that compounds over remaining periods, and future periodic contributions as the second pot. By deducting the future value of the first pot from the total goal, you determine the exact size and required periodic contribution for the second pot.

An investor targeting $100,000 in 20 years with $100 monthly finds after one down year that portfolio value is $1,100 instead of $1,268.25. Treating $1,100 as pot one, it grows to $10,633 over the remaining 19 years, requiring the second pot to contribute an increased monthly payment of $103.12.

You can execute this readjustment process using a systematic approach:

• Determine V t, your investment goal for time t.
• Determine the r, or expected rate of return, that you reasonably expect to get on average, after taxes.
• Use the annuity formula or a financial calculator or computer to calculate the required fixed-dollar per-period investment to achieve your goal.
• After several periods, recalculate the new amount required, using your actual value today as the starting point for the remainder of your investment time available.

Growing periodic investments at a rate $g$ to account for inflation or income growth allows you to start with smaller initial payments while maintaining steady real contributions. To reach $100,000 in 20 years, an investor willing to increase initial monthly investments by 0.5 percent monthly needs an initial payment of only $65.94, compared to $101.09 under pure dollar cost averaging.

Investors bringing existing seed money into a value averaging plan can use an artificial time index to establish an in-progress value path with the correct remaining duration. An investor with $6,500 in seed money and 17 years remaining to reach a $100,000 goal calculates an ending period $T$ of 291 and a current time index $t$ of 87, setting the current target value at $6,511.

You can set up this plan using specific parameters:

• Input your investment goal, value now, periods to go, expected return r, and investment growth rate g.
• Solve for the total ending period T using the head-start formula.
• Calculate current time index t by subtracting remaining periods from T.
• Apply the specific value path formula using the calculated parameters and time index.

4. Tax Considerations and Simulation Results

Avoiding premature capital gains taxes preserves returns, and Monte Carlo simulations prove that value averaging outperforms dollar cost averaging across random market runs.

Delaying capital gains taxes by not selling profitable shares increases after-tax returns through the time value of money. When using value averaging, sell signals can trigger premature capital gains taxes that diminish returns. Delaying taxes as done in dollar cost averaging allows the investment to compound at a pretax rate, resulting in a higher final after-tax value even after accounting for the eventual tax payment.

A $10,000 investment growing at 12% annually for 10 years in the 28% tax bracket yields an after-tax value of $25,162 if taxes are deferred, compared to $22,903 if taxed annually.

The no-sell variation of value averaging avoids selling shares when portfolio value exceeds the target, sacrificing a small portion of returns to eliminate taxes and transaction costs. By simply doing nothing and letting the increasing value goal catch up to the portfolio when holdings exceed the target, investors can bypass the tax liabilities of selling. Simulations show this only slightly reduces the incremental return advantage of pure value averaging.

In a mutual fund example over 50 months, no-sell value averaging yielded a pretax return of 10.9%, compared to 13.8% for pure value averaging and 6.8% for dollar cost averaging.

You can manage these choices through specific actions:

• Check if the value of holdings exceeds your value goal for the period.
• If the portfolio value exceeds the goal, do nothing and hold the shares.
• Wait until the increasing value goal eventually catches up to your portfolio value before investing new money.

Monte Carlo simulations generate random future market paths based on expected returns and variability to test the robustness of investment strategies beyond historical data. Relying solely on past market data can create a false sense of security. Simulations construct random future scenarios centered on long-term expected returns and spread out by expected market volatility to evaluate how strategies perform across numerous plausible outcomes.

You can execute simulations using exact steps:

• Generate a series of normally distributed random numbers for each period you wish to simulate.
• Convert the random numbers into normally distributed monthly stock returns centered on an average outcome with a specific standard deviation.
• Convert stock returns into a stock price index starting at 1.00 or another positive number and adjusting it by each monthly return.
• Use the generated monthly stock prices to evaluate investment strategies.
• Repeat the process many times across hundreds of runs to analyze performance over a wide range of outcomes.

Five-year simulations demonstrate that pure value averaging outperforms dollar cost averaging in the vast majority of random market runs. When tested across sets of 100 random five-year market runs, value averaging achieved higher returns than dollar cost averaging in 84, 90, and 89 instances across respective test sets, maintaining a clear performance advantage.

In the first set of 100 simulation runs, value averaging returned 17.03% on average compared to 15.74% for dollar cost averaging.

Over twenty-year simulation horizons with growth adjustments, value averaging continues to outperform dollar cost averaging across random market paths. Extending simulation timeframes to 20 years while applying periodic growth adjustments shows that value averaging consistently delivers higher compound average annual returns than dollar cost averaging.

Over 100 runs of a 20-year simulated market, value averaging outperformed dollar cost averaging 96 times, yielding a compound average annual return of 15.59% versus 14.31% for dollar cost averaging.

Investors can minimize transaction costs and taxes in value averaging by utilizing tax-advantaged accounts, index funds, and less frequent revaluation. Structuring a formula plan to avoid unnecessary expenses protects overall performance. Using tax-sheltered accounts like IRAs, choosing no-load mutual funds or index funds, and conducting revaluations quarterly rather than monthly significantly reduces friction.

You can protect performance using these guidelines:

• Put investment assets under the umbrella of an IRA, Keogh, or other tax-sheltered plan.
• Maintain a side fund such as a money market fund under the same tax-advantaged umbrella.
• Use no-load mutual funds and index funds to keep management fees and expense ratios extremely low.
• Revalue your portfolio quarterly instead of monthly to take action less frequently.
• Refrain from very small trades by rounding required purchases to the nearest $100.

5. Market Dynamics and Strategy Execution

Financial market prices deviate from a strict random walk by exhibiting short-term momentum and long-term mean reversion. While a random walk assumes daily and annual rates of return are uncorrelated like coin flips, increasing evidence points to mean reversion over two to four-year periods. Investors tend to overreact to dramatic news events in the short run, pushing prices too far before fundamentals pull them back.

The Black Monday stock market crash on October 19, 1987, demonstrated wild short-term overreaction followed by a rapid correction the same week.

Formula strategies add economic value by working against temporary market mispricings created by overreaction and mean reversion.

In a pure random walk market, mechanical strategies cannot add economic value. However, if markets overreact and subsequently mean-revert, formula strategies automatically force you to buy low and sell high at market extremes, capturing higher risk-adjusted returns than simple buy-and-hold or constant share purchases.

A quarterly investment frequency is optimal for value averaging to exploit market overreactions without acting too early or too late. Daily or monthly revaluing sells too early during a short-term momentum phase, whereas biennial revaluing waits too long past the one-year mean-reversion window. Testing historical data confirms that executing value averaging three or four times a year captures the ideal middle ground for excess returns.

In tests from July 1962 to December 1991, a quarterly value averaging frequency yielded a 1.53 percent improvement over constant share purchases and a 1.05 percent improvement over dollar cost averaging.

You can manage your operational implementation using these steps:

• Start out with a little buffer money in the side fund.
• Set up an automatic transfer on a periodic basis from your checking account into your money market side fund.
• Adjust this fixed amount up every year or two to keep up with increased prices.
• Calculate your required investment each period and make a telephone transfer from the side fund into your main investment fund.
• Transfer proceeds from any share sales directly into your side fund.

Retirement accounts offer tax-deferred advantages for value averaging, but require a side fund within the account to hold winnings since withdrawals are restricted. Because taxes are deferred in plans like an IRA, selling shares during value averaging triggers no immediate tax liability. However, you must align your value path size with annual retirement contribution limits to avoid shortfalls in your side funds during market drops.

You can operate within a retirement plan using these rules:

• Send regular monthly portions of your annual contribution limit into the money market fund portion of the IRA.
• Transfer required money into or out of your stock mutual fund on your value path schedule.
• Ensure your initial value path is reasonably small to match your annual IRA contribution limitations.

10 Key Ideas

1. Over long periods, the stock market delivers substantial compound returns while time diversification significantly reduces the variability of returns.
2. Attempting to actively time market entry and exit points is exceptionally difficult and usually leads to poor investor performance.
3. Dollar cost averaging provides a mechanical buying approach, but value averaging enhances this by targeting portfolio value growth and enforcing a built-in selling discipline.
4. Value averaging can match long-term market growth if the value path incorporates a compound growth adjustment.
5. When market returns deviate from expectations, you can recalculate required periodic investments by treating current holdings and future contributions as two separate pools.
6. Delaying capital gains taxes by not selling profitable shares increases after-tax returns through the time value of money.
7. Monte Carlo simulations prove that value averaging outperforms dollar cost averaging across random market runs.
8. Investors can minimize transaction costs and taxes in value averaging by utilizing tax-advantaged accounts, index funds, and less frequent revaluation.
9. Formula strategies add economic value by working against temporary market mispricings created by overreaction and mean reversion.
10. A quarterly investment frequency is optimal for value averaging to exploit market overreactions without acting too early or too late.