Venture capital plays a pivotal role in fueling innovation. Yet, the path for VC-backed companies is changing. The IPO rush is slowing, with unicorns opting to stay private longer, transforming how we think about value creation. Traditional valuation methods often fall short when assessing these companies.
As a finance professional who has valued numerous VC-backed companies, I've seen firsthand how complex capital structures and protective clauses in preferred shares create hidden layers of value (or risk) that simple metrics like post-money valuation ignore.
This article delves deep into the unique challenges of valuing VC-backed companies. We'll uncover:
Evolving Investor Landscape:?How new players like mutual funds and individual investors are reshaping the unicorn landscape.
The Complexity Challenge:?Why understanding share classes, liquidation preferences, and conversion rights is crucial – especially for founders and employees.
Modeling Value Beyond Post-Money:?Exploring how adapted option pricing models shed light on the true value of equity in VC-backed companies.
Venture Capital (VC) plays a major role in economic growth, backing a third of US public companies since the late 1990s. However, the traditional path of a VC-backed company going public within 3-8 years of funding has shifted. Today, many such companies opt to remain private for extended periods, evolving into massive "unicorns" with valuations exceeding $1 billion.
Shifting VC Exit Landscape
The IPO Delay: Historically, VC funds expected a return on their investments through an Initial Public Offering (IPO) within a specific timeframe. These IPOs provided liquidity and the opportunity for substantial wealth creation for both investors and founders. However, over the last few years, I have seen a significant shift – many highly successful VC-backed companies are delaying IPOs, instead choosing to remain private for extended periods.
Drivers of the Shift: Several factors likely contribute to this change:
Evolving Investor Base for Unicorns
Beyond Traditional VC: The impressive size and potential of unicorns have disrupted the traditional model where VC funds were the primary investors in these companies. I highlight a trend of new players entering the game:
Large Mutual Funds:?Mutual funds, with their substantial capital resources, are attracted to the growth potential of unicorns. Their investments add a layer of credibility and provide further funding for expansion.
Individual Investors:?Platforms like EquityZen, and Zerodha enable even individual investors to participate in the unicorn market, signaling widespread recognition and democratization of the asset class.
Maturing Asset Class: Increased interest from diverse investors indicates the growing acceptance of VC-backed companies as a mainstream asset class. This broader investor base fuels the growth of unicorns and supports their extended periods in the private domain.
Implications for Valuation
Complexity and Opacity: The financial structures of VC-backed companies are notoriously complex, with layers of preferred shares and varying rights across funding rounds. This complexity, combined with limited transparency, creates significant hurdles for traditional valuation approaches.
Understanding the Share Class Hierarchy: In a downside scenario (liquidation or bankruptcy), the rights enshrined in different share classes are critical for determining who gets paid and how much. Investors need to understand this hierarchy and the specific rights associated with their investment to derive accurate valuations.
Example - RideRocket - A fictional food delivery unicorn
Initial Assumptions:
RideRocket is a food delivery company founded in 2018.
It receives $10 million in Series A funding with a pre-money valuation of $20 million.
RideRocket experiences explosive growth, tripling its user base and revenue year-over-year for the next 3 years.
Share Class Structure:
RideRocket utilizes a typical share class structure for VC-backed companies.
Common Stock: Held by founders and employees (10% of total shares)
Series A Preferred Stock (Liquidation Preference: 1x) - Grants early investors a 1x return on their investment in case of liquidation before any other class of shareholders receives a payout. (15% of total shares)
Series B Preferred Stock (Liquidation Preference: 1.25x) - Offers a 1.25x return on investment for Series B investors in a liquidation scenario before Series A gets paid. (25% of total shares)
Series C Preferred Stock (Liquidation Preference: 1.5x) - Series C investors receive a 1.5x return on their investment before Series B or A in a liquidation event. (30% of total shares)
Valuation Challenges:
High-Growth: RideRocket's rapid user and revenue growth make traditional valuation methods based on historical financials less reliable.
Complex Share Class Structure: The various share classes with distinct liquidation preferences make it difficult to determine the true value of the company, especially for common shareholders (founders and employees).
To understand the impact of the share class structure on valuation, let's consider a hypothetical exit scenario for RideRocket in 2021 through an acquisition with a total purchase price of $500 million.
We can employ a Waterfall Model to analyze how the proceeds from the acquisition are distributed among shareholders according to the liquidation preferences:
Payout to Debt Holders:?Assume RideRocket has no debt, so this step is bypassed.
Liquidation Preference for Series C:?Series C investors with 30% ownership receive their 1.5x preference on their $50 million investment (1.5 * $50 million = $75 million).
Liquidation Preference for Series B:?Series B investors with 25% ownership receive their 1.25x preference on their $20 million investment (1.25 * $20 million = $25 million). They are paid after Series C due to the lower liquidation preference.
Liquidation Preference for Series A:?Series A investors with 15% ownership receive their 1x preference on their $10 million investment ($10 million). They are paid after Series B and C due to the lower liquidation preference.
Remaining Equity:?After satisfying the liquidation preferences, the remaining amount ($500 million - $75 million - $25 million - $10 million = $390 million) is distributed among all shareholders according to their ownership percentage.
Impact on Common Shareholders:
Here's the crucial point: despite RideRocket's high overall acquisition value, the founders and employees who hold only 10% of the common stock receive a significantly smaller portion due to the liquidation preferences of the preferred shares. In this scenario, their share would be $39 million (10% of $390 million).
Key Learnings:
The complex share class structure in VC-backed companies can significantly impact the distribution of value during an exit event.
Founders and employees may hold a smaller ownership stake despite the company's overall success due to the prioritization of liquidation preferences for investors with preferred shares.
Accurately valuing unicorns requires careful consideration of not just the company's growth potential but also the intricacies of its capital structure.
Convertible Preferred Shares (Protective vs. Dilutive Rights)
Protective Rights:?Convertible preferred shares often come with downside protection mechanisms that give their holders priority in adverse scenarios.
Liquidation Preference:?This guarantees investors a specific payout before other shareholders upon liquidation. Typically, it's a multiple of the original investment (e.g., 1x, 1.25x).
Participation Rights:?Allow investors to receive their liquidation preference amount AND participate alongside common shareholders in any remaining proceeds.
Anti-Dilution Protection:?Safeguards investors against the value of their shares being diluted in future funding rounds where shares may be issued at a lower price.
Dilutive Rights (Conversion Rights):?Convertible preferred shares usually have the option to convert into common shares under specific scenarios like an IPO, offering investors upside potential and a share in the company's future growth.
Liquidation Preferences
This critical clause in VC share agreements establishes a hierarchy for payouts in case of liquidation or sale.
Investors with preferred shares receive their liquidation preference first, often a multiple of their investment, before common shareholders.
The higher the multiple, the more senior the preferred shares and the greater the investor protection.
Post-Money Valuation for VC-Backed Companies (and its limitations)
Post-Money Valuation: The calculated value of a VC-backed company immediately after a funding round. It's often derived by multiplying the latest round's share price by the total number of shares (fully diluted).
Limitations:
Ignores Optionality: Assumes all share classes have equal economic value, failing to account for the protective "put option" features embedded in preferred shares.
Overstates Common Share Value: In downside scenarios, the true value of common stock and early preferred shares is often significantly lower than the post-money valuation indicates.
Optionality within Complex Financial Structures
Preferred Shares with Protective Clauses: These shares function like put options, guaranteeing a minimum return and transferring risk away from investors and onto common shareholders.
Valuation Considerations: Analyzing a VC-backed company requires the ability to correctly value option-like attributes embedded in its securities. This becomes more complex with multiple classes of preferred shares.
Company Development
Funding Rounds and their Impact on Capital Structure
Each funding round (Seed, Series A, B, C...) typically involves issuing a new class of preferred shares to investors.
These share classes rarely have equal rights, creating a layered capital structure that dilutes the ownership of existing shareholders and adds complexity to valuation.
Evolution of Share Classes and Investor Protections
Early-stage investors often demand strong protective rights to mitigate the high risk, resulting in more senior preferred shares with stronger liquidation preferences.
As a company matures, these protections might become less onerous for later stage investors, since the perceived risk reduces.
However, the legacy of complex share classes remains, impacting valuation even at the IPO stage.
Understanding these interconnected concepts is crucial for investors looking at VC-backed companies. It's essential to remember:
Post-money valuation alone is an insufficient metric for valuation.
Assessing true value requires analyzing the rights associated with different share classes, particularly in the context of potential exit events.
Investor protections create option-like qualities that must be understood and valued using more sophisticated techniques than simple multiples or discounted cash flows.
Example - ZipZoom - A fictional on-demand delivery app
ZipZoom is a fast-growing delivery app seeking Series C funding. Let's analyze how funding rounds and complex share structures can impact ownership and value for different investor groups.
Assumptions:
ZipZoom starts with 100 million common shares outstanding, representing 100% ownership for founders.
Each funding round issues a new class of preferred shares with specific liquidation preferences.
Funding Rounds:
Calculations:
Ownership Dilution:
After each funding round, the total number of shares increases (common + preferred), diluting the ownership percentage of existing shareholders (founders in this case).
Founder Ownership:
Seed: 100% (100 million common shares / 100 million total shares)
Series A: 50% (100 million common shares / 200 million total shares)
Series B: 40% (100 million common shares / 280 million total shares)
Series C (Proposed): 33.33% (100 million common shares / 346.67 million total shares)
Impact of Liquidation Preferences:
In a liquidation event (e.g., acquisition) with a total payout of $200 million, liquidation preferences for preferred shareholders come into play before common shareholders receive anything.
Payout Distribution:
Series C: Receives $75 million (1.5x preference on $50 million investment)
Series B: Receives $20 million (1.25x preference on $20 million investment)
Series A: Receives $10 million (1x preference on $10 million investment)
Common Shareholders (Founders): Receive remaining $95 million (if any)
Key Takeaways:
Dilution:?With each funding round, founders' ownership stake gets smaller despite the company's overall growth.
Protective Rights:?Preferred shareholders receive their liquidation preference first, potentially leaving less for common shareholders.
Optionality Value:?The guaranteed payouts for preferred shareholders act like a put option, transferring risk away from them and onto common shareholders.
While the total company value in this example might appear to be $200 million based on the hypothetical acquisition price, the founders' actual stake is significantly less (potentially $95 million or even lower) due to dilution and liquidation preferences. This showcases the importance of considering both ownership percentages and protective rights for different investor classes when evaluating a company's true value for founders and early-stage investors.
Valuing ESOPs
Employee Stock Options:?Employees in VC-backed companies often receive a significant portion of their compensation in stock options, hoping the company's future value will translate into wealth.
Overvaluation Tendency:?Employees frequently overestimate the value of their stock options by relying on post-money valuation, which does not account for the intricacies of the company's capital structure.
Importance of Accurate Valuation:?Accurate option valuation is critical for employees making financial decisions like exercising options and planning their overall wealth strategy.
Alternative Valuation Techniques:?For these scenarios, i advocate for a contingent claim valuation framework, similar to option pricing models, as a more accurate way to value options and common shares in VC-backed companies. This approach considers the complex rights embedded in preferred shares and their potential impact on common shares.
Background:?Options are?contracts that give the holder the right, but not the obligation, to buy (call option) or sell (put option) an underlying asset?(like a stock) at a predetermined price (strike price) by a certain date (expiry). The Black-Scholes-Merton model is a widely-used framework for pricing options, considering factors like asset price, strike price, time to expiry, volatility, and interest rates.
Contingent Claims:?More advanced models view complex securities, like preferred shares in VC-backed companies, as contingent claims. This approach recognizes that their payoffs are dependent on future events (company sale, IPO).
Relevance to VC Valuation:?Applying option pricing concepts helps determine the fair value of stock options and common shares in VC-backed companies. Traditional valuation methods may be inaccurate, as they don't capture the dynamics of different share classes and their rights.
Post-Money Valuation Limitations for VC-Backed Companies
Formula:?Post-money valuation = (Latest Share Price) * (Total Shares on a Fully Diluted Basis)
Oversimplification:?Assumes all shares have equal value and ignores protective rights embedded in preferred shares. This can inflate the perceived value of common stock and stock options held by employees.
Better Used For:?May be more suitable for public companies with simpler capital structures.
Distortions Due to Capital Structure Complexities
Multiple Share Classes:?VC-backed companies create new share classes with each funding round, each with distinct rights and preferences.
Liquidation Preferences:?Senior preferred shares carry liquidation preferences, guaranteeing investors a certain payout before common shareholders receive anything. This reduces the potential upside for common shareholders.
Participation Rights:?These allow preferred shareholders to receive their preference AND participate in remaining proceeds alongside common shareholders.
Impact on Valuation:?Complex share class structures create option-like qualities that must be considered when assessing the fair value of common equity or options.
Alignment of Incentives:?Options give employees a stake in the company's success, potentially encouraging long-term commitment and performance.
Attractiveness:?Options are attractive to startups with limited cash but high growth potential.
Risk and Reward Dynamics for Employees
High Risk:?The value of employee options is contingent on the company's future performance, making them a higher-risk compensation component than salaries.
High Potential Reward:?If the company performs well, options can yield significant returns, aligning employees' financial interests with that of the company.
Example - CloudCo: Unveiling Option Distortion in a VC-backed Company
Scenario: CloudCo, a promising cloud storage startup, just secured $20 million in Series B funding. Let's analyze how complex capital structures and post-money valuation limitations can distort the value of employee stock options.
Assumptions:
CloudCo starts with 10 million common shares outstanding.
Series A investors hold 2 million preferred shares with a 1.2x liquidation preference.
Series B investors receive 1.6 million preferred shares with a 1.5x liquidation preference.
Employee stock options have a strike price of $2 per share and 5 years until expiry.
CloudCo's post-money valuation after Series B is $100 million.
Calculations:
Post-Money Valuation Breakdown:
Fully diluted shares = 10 million (common) + 2 million (Series A) + 1.6 million (Series B) = 13.6 million
While the post-money valuation suggests a share price of $7.35 ($100 million / 13.6 million), this doesn't reflect the true value for common shareholders due to liquidation preferences.
Liquidation Scenario (Hypothetical Acquisition):
Acquisition price = $100 million
Payout Distribution:
Series B preferred: $24 million (1.5x preference on $16 million investment)
Series A preferred: $2.4 million (1.2x preference on $2 million investment)
Remaining for common shareholders: $73.6 million (if any)
Employee Option Valuation (Simplified vs. Option Pricing Model):
Simplified Approach (Using Post-Money Valuation):
Option value = Share price - Strike price = ($7.35 - $2) = $5.35 per share
This overestimates the value for common shareholders due to neglecting liquidation preferences.
Option Pricing Model (More Accurate):
This would consider factors like volatility, time to expiry, and interest rates to calculate a more realistic option value, likely lower than $5.35.
Key Takeaways:
Post-money valuation in VC-backed companies can be misleading due to complex capital structures.
Liquidation preferences significantly impact the value available for common shareholders and employee stock options.
Sophisticated option pricing models are crucial for a more accurate valuation of options in companies with complex capital structures.
While the post-money valuation suggests a potential gain of $5.35 per share for employee options, the reality might be less promising. Due to liquidation preferences, the actual value available for common shareholders after a potential acquisition could be significantly lower. A more accurate option pricing model would provide a more realistic estimate of the employee options' true value, potentially much lower than the simplified approach suggests.
Contingent Claim Valuation (similarity to option pricing)
Concept:?Contingent claims are securities whose value depends on the occurrence of future uncertain events and the value of an underlying asset. Stock options are classic examples.
Applicability to VC:?Preferred shares in VC-backed companies, with their conversion rights and liquidation preferences, function like complex options. Their value is intricately tied to the company's future performance and exit outcomes (IPO, M&A, liquidation).
Similarity to Option Pricing:?Models like Black-Scholes-Merton, used for pricing options, are adapted to account for the specific features of VC securities to determine a fair valuation.
Post-Money Valuation Limitations for Companies with Complex Capital Structures
Formula Oversimplification:?Post-money valuation assumes that all shares have equal value. This is inaccurate for VC-backed companies with different share classes holding varying rights and preferences.
Ignores Downside Protections:?Preferred shares often carry liquidation preferences, guaranteeing investors a certain payout before common shareholders. These protections transfer risk away from preferred shareholders, reducing their downside, making them more valuable than the post-money valuation indicates.
Geometric Brownian Motion for Modeling Asset Prices
Concept:?Geometric Brownian motion (GBM) is a stochastic model used to simulate how an asset's price (like a company's value) can evolve randomly over time. It incorporates drift (average trend) and volatility (degree of random fluctuations).
Assumptions:?GBM assumes asset prices follow a "random walk" pattern but with a positive expected return over time. It also assumes constant volatility.
VC Application:?While a simplification of reality, GBM provides a basis to model various potential exit values for the VC-backed company.
Conversion Rights:?This allows investors to convert preferred shares into common shares at a predetermined ratio, offering upside participation in a company's success.
Automatic Conversion Triggers:?Commonly tied to IPO events. If the IPO price or funds raised exceed a certain threshold, preferred shares automatically convert into common shares, even if it means a lower payout for the investor. This aims to streamline the IPO process.
Financial Modeling Principles
Discounted Cash Flow Analysis (DCF)
The Foundation:?DCF is the cornerstone of valuation, projecting future cash flows and discounting them to present value using a risk-adjusted discount rate.
VC Context:?DCF is applied in this model, but the cash flows are the potential investor payouts at exit under different scenarios (IPO, M&A, liquidation).
Risk-Neutral Valuation
Concept:?Adjusts for risk preferences by discounting expected future cash flows using a risk-free rate. This isolates the inherent value of a security from individual risk tolerances.
Relevance:?Enables comparing VC investments with varying risk profiles by providing a common metric for intrinsic valuation.
Modeling Exit Scenarios and Probabilities
Multiple Outcomes:?The model accounts for various exit pathways (IPO, M&A, liquidation) with differing likelihoods, impacting investor payouts.
Probability Weighting:?Assigning probabilities to each scenario allows for an expected value calculation of a fair price for the VC investment.
VC Investment Dynamics
Funding Rounds and Valuation
Incremental Investment:?Each funding round introduces new share classes with negotiated rights and establishes a new post-money valuation.
Dynamic Impact:?Existing shareholders often face dilution, and new protective rights alter the risk-reward dynamics for all shareholders
Investor Rights and Protective Clauses
Liquidation Preference:?Priority payout for investors before common shareholders, impacting valuation in downside scenarios.
Participation Rights:?Allow investors to receive their liquidation preference AND participate in remaining proceeds alongside common shareholders.
Anti-Dilution Protection: Safeguards investors against share price decreases in future funding rounds.
Exit Strategies and Influence on Value
IPO:?A successful IPO can unlock significant value, but preferred share clauses (automatic conversion, liquidation preferences) impact distribution of proceeds.
M&A:?Acquisition outcomes might trigger liquidation preferences, influencing the relative value for different share classes.
Example - HotShotAI that raised funds under specific terms
Company: HotShotAI
Series C Funding Amount: $50 million
Post-Money Valuation: $300 million
Series C Preferred Shares Liquidation Preference: 1.25x
Automatic Conversion Clause: Applies for IPOs above a certain value
Expected Exit Time: 5 years
Exit Value Volatility: 70%
Risk-Free Rate: 2%
Assumptions:
Geometric Brownian Motion (GBM) is used to model the exit value over time.
Liquidation Preference: Series C preferred shares are entitled to receive 1.25 times their investment before any proceeds are distributed to other shareholders.
Automatic Conversion Clause: The shares automatically convert into common equity if the IPO valuation exceeds a predefined threshold, improving the outcome for Series C investors compared to a liquidation scenario.
Valuation Threshold for Automatic Conversion: This threshold is set at a level where the expected benefits from conversion exceed the liquidation preference. For simplicity, assume this threshold is at a $400 million valuation.
Calculations:
To calculate the fair value of the investment considering the provided assumptions, we'll employ a simplified version of the Black-Scholes option pricing model, adapted for this specific scenario. This model is a part of the contingent claims analysis, which values options based on the volatility of the underlying asset, here being the exit value of the company.
Step 1: Estimate Potential Exit Values
Using GBM, the future value FVFV of the company at the expected exit time can be modeled as:
FV = S0 * e^(r - 1/2 σ^2)T + σ√T Z
FV:?Future value of the company at the expected exit time
S0:?Current post-money valuation ($300 million)
r:?Risk-free rate (2%)
σ:?Volatility (70%)
T:?Time until expected exit (5 years)
Z:?Standard normal random variable
Step 2: Payout Scenarios
IPO Scenario: If the IPO valuation exceeds the conversion threshold, Series C investors convert their preference shares into common shares, potentially realizing gains based on the IPO performance.
M&A/Liquidation Scenario: If the company is sold or liquidated below the conversion threshold, Series C investors receive 1.25x their investment before other shareholders.
Step 3: Contingent Claims Valuation
While not a perfect fit, the Black-Scholes option pricing model provides a useful framework for understanding the valuation dynamics of convertible preferred shares in a VC-backed company. Let's break down the analogies:
The Black-Scholes Formula
C = S0 N(d1) - K e^(-rT) * N(d2)
where:
d1 = ( ln(S0 / K) + (r + σ^2 / 2)T ) / ( σ√T)
d2 = d1 - σ√T
N(x) = cumulative standard normal distribution function
Conceptualizing the Conversion Right
Think of the right to convert preferred shares into common shares as a call option granted to investors. This option has value if the company performs well and the exit valuation exceeds the strike price (liquidation preference).
Important Differences from Classic Options
No Traditional "Exercise":?Investors likely won't freely choose conversion. Automatic conversion clauses in IPOs complicate the direct analogy.
Multiple Strike Prices:?VC-backed companies often have multiple share classes with differing liquidation preferences ("multiple strikes").
Downside Protection:?Liquidation preferences skew the payoff structure compared to standard call options, offering more protection to investors.
Limitations of the Analogy
The Black-Scholes model is designed for freely traded options on liquid assets. VC investments are far less liquid and involve more complex contractual terms. Nevertheless, it provides a conceptual starting point.
However, since KK in this context is not straightforward (the investment vs. the total valuation at IPO conversion threshold), let's proceed with the assumption that KK represents the effective "strike price" or the threshold above which conversion is beneficial. Assuming this threshold for automatic conversion to be at the post-money valuation (which simplifies our scenario significantly), we calculate based on the Series C investment amount and the liquidation preference.
Let's proceed with the calculation using these simplifications:
The fair value of the Series C investment, based on the simplified Black-Scholes option pricing approach and given the assumptions, is approximately $255.74 million.
Result Interpretation:
Assuming a scenario with an exit value calculated using GBM, and considering the liquidation preference and automatic conversion conditions, the model might indeed show that the fair value of the Series C investment is $255 million rather than the $300 million post-money valuation. This discrepancy is primarily due to the liquidation preference, which guarantees a certain return to Series C investors in less favorable exit scenarios, thereby reducing the effective valuation of the company when accounting for these preference rights.
Concluding Remarks
The changing landscape of VC-backed companies challenges traditional notions of value. The delayed IPO trajectory and the rise of unicorns signal a maturing asset class with evolving investor dynamics. Accurately valuing these companies demands a nuanced understanding of complex capital structures, rights embedded in preferred shares, and the impact of exit scenarios on different investor classes. Founders and employees, in particular, must be aware of how liquidation preferences and automatic conversion clauses can significantly shape the ultimate value of their equity stakes. While adapting models like Black-Scholes offers insights, tailored valuation frameworks are crucial to account for the intricacies of VC investments. The growing interest in unicorns from diverse investors raises important questions about managing potential risks, ensuring appropriate regulation, and balancing the democratization of access against the need for investor sophistication.
My two cents: while there is always more to the headline, the post money valuation atleast gives a sense of the valuation achieved by the startup which helps to compare valuations at a firm level. Of course as rightly pointed out, one should factor in the liquidation preference to determine what each tranche would actually realise. So one can’t entirely disregard the headline ??
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M&A at Tata Motors| Ex Wipro| Ex M&M| Ex Crisil
7 个月My two cents: while there is always more to the headline, the post money valuation atleast gives a sense of the valuation achieved by the startup which helps to compare valuations at a firm level. Of course as rightly pointed out, one should factor in the liquidation preference to determine what each tranche would actually realise. So one can’t entirely disregard the headline ??
?? KI Strategin | KI & Automatisierung | Beratung - Workshops - Kurse | KI & Automatisierungs Community??
8 个月Understanding the intricacies of VC valuations is crucial for all stakeholders. Looking forward to your dedicated articles! ??
CA, CS, Registered Valuer, Business Valuation, Valuation of M&A and Complex Securities..
8 个月Venture into the intricacies of valuation mechanisms in VC-backed companies!??
Farmer/Entrepreneur/investor
8 个月Let us dive into it
Group CFO | Corporate Finance | Ex-Founder | China / APAC | INSEAD | MFin, MSc, CFA, CMA, FMVA, BIDA
8 个月Very comprehensive, thanks for sharing.