You’ve decided to invest in Bitcoin. But, you’re torn between going all-in with a lump sum or using dollar cost averaging (DCA). After all, you don’t want to make a mistake that could jeopardize your capital or limit your potential returns.
We have decided to put both strategies to the test – with a twist. We will not only evaluate absolute returns of each Strategy, but also calculate Risk-adjusted Returns using our Risk Model.
You can even do your own testing using our Lump Sum vs DCA Calculator. We encourage you to read on to see our testing results.
Part 1: Beyond Just Returns
Managing Emotional Volatility: Can you Tolerate the Risk?
![](https://alphasquared.io/wp-content/uploads/2024/03/Happy-Sad-icon-1.webp)
Short-Term vs. Long-Term: Does Your Time Horizon Matter?
![](https://alphasquared.io/wp-content/uploads/2024/03/LGSH-2.png)
Your investment time horizon is another crucial factor.
For short-term investors looking for quick gains, lump sum investing may be better. But, this is only true if you believe you can predict the market. Research shows this is nearly impossible for retail investors like you and me. We learned the hard way. That’s what led us to build risk models that classify the present instead. This worked so well it’s what eventually turned into AlphaSquared! For long-term investors unsure where markets might head next, DCA is usually a better approach. Spreading out your investment over time averages out your buy-in price, which reduces the risk of entering at a market peak. This long-term perspective also allows you to ride out the inevitable volatility and market cycles. Ask yourself: Are you investing for the short-term or long-haul? And do you truly have the skills to predict the market effectively?Bull or Bear?: Timing Your Bitcoin Investment Strategy
![](https://alphasquared.io/wp-content/uploads/2024/03/Bull-Bear.webp)
Building Investment Discipline: Can you Stick to your Plan?
![](https://alphasquared.io/wp-content/uploads/2024/03/discipline.png)
Summary of Pros and Cons: Lump Sum vs DCA
To summarize the key pros and cons discussed: Lump Sum Investing Pros:- Potential for higher returns by being fully invested from the start
- Simplicity of execution
- Higher volatility and emotional burden
- Risky if entering at a market high
- Reduces impact of volatility and risk
- Easier emotionally/psychologically
- Potential for lower overall returns
- Opportunity cost of not being fully invested
Part 2: Performance Comparison
Lump Sum vs DCA: Put to the Test
![](https://alphasquared.io/wp-content/uploads/2024/03/test.png)
Backtesting Methodology
- We used historical Bitcoin price data up until March 19th 2024
- For lump sum, we invested $1,000 upfront on the start date
- For DCA, we invested $25 monthly until hitting that $1,000 total investment
- We calculate %-profit, $-profit, Bitcoin accumulated, and most importantly reward-per-risk ratio
Click to see the code
# Our backtesting function.
def calculate_investment_returns(start_date, end_date, lump_sum_amount, dca_amount, dca_frequency):
# Load historical Bitcoin price data
btc_data = pd.read_csv('/content/drive/My Drive/Colab Notebooks/Data & Files/Price Data/BTC_Historical_Processed_X.csv')
# Ensure data is sorted by date for accurate processing
btc_data.sort_values(by='Date', inplace=True)
# Helper function to convert string dates to datetime objects for easy comparison
def parse_date(date_str):
return datetime.strptime(date_str, '%Y-%m-%d')
# Selects only the rows within the specified start and end dates
filtered_data = btc_data[(btc_data['Date'] >= start_date) & (btc_data['Date'] <= end_date)].copy()
filtered_data['Date'] = filtered_data['Date'].apply(parse_date)
filtered_data.sort_values(by='Date', inplace=True)
# Prepares the dataset for recording buy actions
btc_data['lump_sum_buy'] = np.nan # Track lump sum buy price
btc_data['dca_buy'] = np.nan # Track DCA buy prices
# Lump sum investment calculation
initial_btc = lump_sum_amount / filtered_data.iloc[0]['Price']
final_value_lump_sum = initial_btc * filtered_data.iloc[-1]['Price']
profit_lump_sum = final_value_lump_sum - lump_sum_amount
lump_sum_risk_reward_sum = (initial_btc * filtered_data['Risk']).sum()
lump_sum_risk_reward = profit_lump_sum / lump_sum_risk_reward_sum
# Update the lump_sum_buy column in btc_data for the row that matches the start_date
btc_data.loc[btc_data['Date'] == start_date, 'lump_sum_buy'] = filtered_data.iloc[0]['Price']
# Sets up our DCA investment strategy by defining investment dates based on frequency
dca_dates = pd.date_range(start=filtered_data.iloc[0]['Date'], end=filtered_data.iloc[-1]['Date'], freq=dca_frequency)
dca_investment_total = 0
btc_held = 0
dca_risk_reward_sum = 0
# Ensure 'Date' columns in both DataFrames are datetime objects
btc_data['Date'] = pd.to_datetime(btc_data['Date'], format='%Y-%m-%d')
filtered_data['Date'] = pd.to_datetime(filtered_data['Date'], format='%Y-%m-%d')
# Iterates over each date in the filtered dataset to simulate DCA purchases
for date in filtered_data['Date']:
if date in dca_dates and dca_investment_total < lump_sum_amount:
price_on_dca_date = filtered_data[filtered_data['Date'] == date]['Price'].iloc[0]
btc_held += dca_amount / price_on_dca_date
dca_investment_total += dca_amount
# Records the DCA buy for later analysis or visualization
btc_data.loc[btc_data['Date'] == date, 'dca_buy'] = price_on_dca_date
risk_on_date = filtered_data[filtered_data['Date'] == date]['Risk'].iloc[0]
dca_risk_reward_sum += btc_held * risk_on_date
# Calculates the final value and profit for the DCA strategy
final_value_dca = btc_held * filtered_data.iloc[-1]['Price']
profit_dca = final_value_dca - dca_investment_total
dca_risk_reward = profit_dca / dca_risk_reward_sum if dca_risk_reward_sum else 0
# Checks if the DCA strategy was able to invest an equivalent amount to the lump sum
dca_message = ""
if dca_investment_total < lump_sum_amount:
dca_message = "The total DCA amount invested did not reach the lump sum amount before the period ended."
# Returns detailed results for both investment strategies, including profits, BTC held, and risk-reward ratios
return btc_data, {
'Lump Sum': {
'% Profit': round((profit_lump_sum / lump_sum_amount) * 100,0),
'$ Profit': round(profit_lump_sum,0),
'BTC on Hand': round(initial_btc,5),
'Reward per Risk Ratio': round(lump_sum_risk_reward,2),
},
'DCA': {
'% Profit': round((profit_dca / dca_investment_total) * 100,0),
'$ Profit': round(profit_dca,0),
'BTC on Hand': round(btc_held,5),
'Reward per Risk Ratio': round(dca_risk_reward,2),
'Message': dca_message,
},
'Period': f"From {start_date} to {end_date}",
'Final_BTC_Price': round(filtered_data.iloc[-1]['Price'],0)
}
"""
Bitcoin Investment Returns Calculator
This script calculates and compares the returns of investing in Bitcoin (BTC) via a lump sum amount versus a Dollar-Cost Averaging (DCA) strategy over a specified date range. It utilizes historical BTC price data to perform the comparison.
Author: Axel Wikner
Date: Mar 17th 2025
Version: 1.0
Requirements: pandas, numpy, datetime
Usage: This script is designed to be imported as a module and expects the user to call `calculate_investment_returns` with appropriate parameters.
"""
Bitcoin Lump Sum vs DCA Backtest
With the backtest setup, it’s time to run the numbers over different periods to see how lump sum and DCA truly compare. We chose two separate test periods that capture different market conditions and cycles:
Test 1: Investing During a Bitcoin Bull Market
Start Date: Jan 1st 2018, End Date: March 19th 2024
![Bitcoin Lump Sum vs DCA strategy Backtest from 2018 to 2024](https://alphasquared.io/wp-content/uploads/2024/03/Backtesting-of-Bitcoin-Lump-Sum-VS-DCA-Dollar-cost-averaging-strategy-from-2018-to-2024.png)
Profit (%) | Profit ($) | BTC on Hand | Reward per Risk | |
---|---|---|---|---|
DCA | 668% | $6,676 | 0.12384 | 0.76 |
Lump Sum | 361% | $3,610 | 0.07438 | 0.53 |
Test 2: Investing During a Bitcoin Bear Market
Let’s fast-forward one year and see what happens if we would have invested 12 months later.
Start Date: Jan 1st 2019, End Date: March 19th 2024
![Backtest of Bitcoin Lump Sum VS DCA (Dollar cost averaging) strategy from 2019 to 2024](https://alphasquared.io/wp-content/uploads/2024/03/Backtesting-of-Bitcoin-Lump-Sum-VS-DCA-Dollar-cost-averaging-strategy-from-2019-to-2024-1.png)
Profit (%) | Profit ($) | BTC on Hand | Reward-per-Risk | |
---|---|---|---|---|
Lump Sum | 1527% | $15,273 | 0.26254 | 0.77 |
DCA | 427% | $4,207 | 0.08502 | 0.80 |
As you can see, the results differ significantly between these two periods. But why? And what does it really tell us about which strategy is “better”? Let’s unpack what all this really means.
If you’re eager to test this yourself, you can use this calculator:
![Loading...](https://alphasquared.io/wp-content/uploads/2023/08/Spin-1s-200px-1.gif)
Bitcoin Lump Sum vs DCA Calculator
Profit (%) | Profit ($) | Reward per Risk | BTC on Hand | |
---|---|---|---|---|
Lump Sum | - | - | - | - |
DCA | - | - | - | - |
Interpreting the Results
Returns: Timing is Everything
The backtest results showed one key point. Timing your investment entry relative to market cycles can make or break your returns, especially with a lump sum approach.
In our first test from January 2018 to March 2024, we captured the brutal 2018 bear market. The DCA strategy won, with a 668% profit. By gradually accumulating over time, DCA was perfectly positioned to buy Bitcoin at lower prices during the bearish period.
However, the script flipped in our second test spanning January 2019 to March 2024. By entering after the bear market bottom, the lump sum strategy skyrocketed to an eye-popping 1,527% return, leaving DCA’s 427% profit in the dust.
These lump sum gains are impressive. But, it’s crucial to remember: the test period includes over 4 years. During this time, lump-sum investors could have been underwater before realizing any profits.
Reward-Risk Ratio: A Better Measure
Raw returns only tell part of the story. The reward-risk ratio provides a more holistic lens by considering the risk taken to achieve those profits. It’s calculated as:
- Reward-per-Risk Ratio = Dollar Profit / Sum (BTC Held each day * Risk each day)
The Bitcoin risk is a score ranging from 0-100 measuring the market’s pulse. It is calculated by AlphaSquared’s machine learning model that analyzes a universe of market factors.
A higher reward-per-risk ratio means capturing more upside. It also means taking on less risk. This is the ultimate goal for any investor.
In our first test, DCA had a higher reward-risk ratio of 0.76 versus 0.53 for lump sum, indicating better risk-adjusted returns. Surprisingly, in test 2, DCA maintained its edge with a ratio of 0.80 compared to lump sum’s 0.77.
The reason? With lump sum, you hold a large amount of Bitcoin at all times, exposing you to high risk levels during volatile periods. DCA, however, spreads out your holdings over time, reducing overall exposure to elevated risk levels.
Key Takeaways: Lump Sum vs DCA
So while lump sum can supercharge profits with perfect timing, DCA offers a more risk-managed approach. This is especially important during volatile stretches where hasty lump sum entries can be disastrous.
But what if there was a strategy that could dynamically adjust your investment amounts based on quantified market risk? One that captures lump sum upside during bull runs while reducing exposure like DCA when turbulence strikes?
Such an approach does exist – it’s called risk-based DCA, and it represents the perfect middle ground.
Part 3: Risk-based DCA – Overcoming the Limitations
For years, we grappled with the lump sum vs DCA debate like every other crypto investor. we tried both strategies, experiencing their downsides firsthand.
With lump sum, the volatility and emotional burden was overwhelming. DCA provided much-needed psychological relief. But we still bought at highs during frenzied markets and left major profits on the table.
That’s when in early 2021, we discovered an innovative third approach that could provide the best of both worlds – Risk-based DCA. we began using it as a potential middle way, and it has worked extraordinarily well since.
Risk-based DCA: The Best of Lump Sum & DCA
Risk-based DCA is a unique approach that adjusts investment amounts based on quantified market risk:
- The lower the risk, the more you increase your investments. This allows you to get the lowest possible average cost-price.
- The higher the risk, the more profits you take. By selling larger portions the higher risk goes, you always secure some profits. Yet, you still save the majority of your crypto until the risk is high.
Unlike prediction-based strategies, risk-based DCA uses machine learning to classify current market risk instead of guessing the future.
Solving the Problem of Lump-sum and DCA
With risk based DCA, you still DCA as usual. However, you allocate your capital more effectively. You save cash when risk is high, enabling you to invest more when risk and price is lower. This unites the advantage of Lump Sum and DCA into a single, easy-to-use strategy. You can sign up for free here.
AlphaSquared’s sophisticated machine learning risk model for Bitcoin:
- Analyzes vast market data daily
- Condenses insights into a 0-100 risk metric
Combined with a customizable risk-based DCA strategy, you will:
- Develop and stick to a clear investment strategy. Easily adjust buys/sells based on measured market risk.
- Overcome emotional reactions like FOMO, FUD, and anxiety by relying on a data-driven, risk-based approach.
- Eliminate hesitation about when to invest and take profits by following a firm strategy triggered by risk levels.
No more emotional decisions or haphazard buy/sell calls. Just a systematic, data-driven approach backed by years of positive real-world results (including my own over 2+ years).
Ready to leave the lump sum vs. DCA debate behind? Check out How it Works or try the DCA vs. Risk-Based DCA Calculator.
Conclusion
Both lump sum and regular DCA have pros and cons that depend heavily on market timing, risk tolerance, and personal circumstances. Make sure you examine these thoroughly before making a choice.
A dynamic, risk-based DCA adjusts positions based on quantified market risk. This provides the ideal middle ground if you’re not fully convinced by either strategy.
Regardless of what strategy you choose, make sure you stick to it, and good luck!