33  Risk and return analysis; Asset securitization

33.1 Two Foundational Ideas

This topic combines the foundational risk-return relationship in finance — the spine of modern portfolio theory and the CAPM — with one of its most consequential financial innovations of the last fifty years: asset securitization. Risk and return are jointly determined: no rational investor takes on more risk without expecting more return. Securitization is the process of pooling financial assets and issuing tradable securities backed by their cash flows — turning illiquid loans into liquid bonds, with consequences both benign (deeper capital markets) and catastrophic (2008 Global Financial Crisis).

33.2 Concept of Return

TipComponents of Return
Component Working
Income / Yield Dividend or interest
Capital gain / loss Change in price
Holding-period return \(R = \frac{D + (P_1 - P_0)}{P_0}\)
Expected return Probability-weighted average: \(E(R) = \sum p_i R_i\)
Realised return Actual return achieved ex-post

33.3 Concept of Risk

Risk is the variability of expected returns. Measured by standard deviation (σ) or variance (σ²):

\[\sigma = \sqrt{\sum p_i (R_i - E(R))^2}\]

TipTypes of Risk
  • Systematic risk — affects the whole market; non-diversifiable; measured by β. Examples: inflation, interest rate, exchange rate, political risk.
  • Unsystematic / specific risk — affects a single firm/sector; diversifiable through portfolio construction. Examples: strike, product failure, lawsuit.
  • Total risk = Systematic + Unsystematic.
  • Other classifications: business, financial, liquidity, default, country, operational, regulatory.

33.4 Markowitz Portfolio Theory (1952)

Harry Markowitz in 1952 (Journal of Finance) introduced modern portfolio theory — Nobel 1990.

33.4.1 Portfolio Return and Risk

TipPortfolio Statistics
Statistic Formula
Portfolio return \(E(R_p) = w_1 E(R_1) + w_2 E(R_2)\)
Portfolio variance (2 assets) \(\sigma_p^2 = w_1^2 \sigma_1^2 + w_2^2 \sigma_2^2 + 2 w_1 w_2 \sigma_1 \sigma_2 \rho_{12}\)
When \(\rho = -1\) Risk can be eliminated entirely with right weights
When \(\rho = +1\) No diversification benefit

33.4.2 Efficient Frontier

The efficient frontier plots all combinations of risky assets giving the highest return for a given risk (or the lowest risk for a given return). Rational investors choose points on the efficient frontier.

33.5 Capital Asset Pricing Model (CAPM) — Sharpe (1964)

William Sharpe (Nobel 1990), independently developed also by Lintner and Mossin, gave the CAPM:

\[E(R_i) = R_f + \beta_i [E(R_m) - R_f]\]

TipCAPM — Assumptions
  • Investors are rational, risk-averse.
  • Can borrow and lend at the risk-free rate.
  • Homogeneous expectations.
  • No taxes or transaction costs.
  • Quantity of assets is fixed.
  • All assets are perfectly divisible and liquid.
  • Investors hold efficient portfolios.
TipKey Building Blocks of CAPM
  • Capital Market Line (CML) — relates return and total risk (σ) of efficient portfolios.
  • Security Market Line (SML) — relates expected return to systematic risk (β); applies to all assets, not just efficient portfolios.
  • β = 1 — same as market; β > 1 aggressive; β < 1 defensive.

33.6 Arbitrage Pricing Theory (APT) — Ross (1976)

Stephen Ross in 1976 proposed APT, a multi-factor alternative to CAPM:

\[E(R_i) = R_f + \beta_{i1} F_1 + \beta_{i2} F_2 + \ldots + \beta_{ik} F_k\]

where \(F_j\) are risk factors (inflation, GDP, interest rates, term spread, credit spread). Less restrictive than CAPM.

33.7 Sharpe, Treynor and Jensen — Portfolio Performance Measures

TipThree Classical Performance Measures
Measure Formula Adjusts for
Sharpe Ratio \((R_p - R_f) / \sigma_p\) Total risk
Treynor Ratio \((R_p - R_f) / \beta_p\) Systematic risk
Jensen’s Alpha \(R_p - [R_f + \beta_p (R_m - R_f)]\) Risk-adjusted excess return

33.8 Asset Securitization — Concept

Asset Securitization is the process of: 1. Pooling financial assets (loans, receivables, mortgages) with predictable cash flows. 2. Transferring them to a Special Purpose Vehicle (SPV). 3. The SPV issues tradable securities (Asset-Backed Securities — ABS, or Mortgage-Backed Securities — MBS, or Pass-Through Certificates — PTC) to investors. 4. Cash flows from the underlying assets flow through to the security holders.

flowchart LR
  O[Originator<br/>Bank / NBFC] -->|sells receivables| SPV[Special Purpose<br/>Vehicle]
  SPV -->|issues ABS/MBS/PTC| I[Investors]
  D[Borrowers<br/>e.g., home buyers] -->|repayments| O
  O -->|pass through| SPV
  SPV -->|interest + principal| I
    classDef default fill:#003366,color:#ffffff,stroke:#ffcc00,stroke-width:3px,rx:10px,ry:10px;

33.9 Why Securitize?

TipBenefits to Originator
  • Liquidity — illiquid loans become cash.
  • Off-balance-sheet — improves capital adequacy, leverage ratios.
  • Risk transfer — credit and prepayment risk shifted to investors.
  • Lower cost of funding.
  • Better asset-liability management.
TipBenefits to Investors
  • Access to asset classes (mortgages, auto loans) otherwise unavailable.
  • Diversification — pooled cash flows.
  • Credit enhancement via senior/junior tranches, overcollateralisation, guarantees.
  • Higher yield than government bonds.

33.10 Types of Securitised Instruments

TipMajor Securitised Instruments
Instrument Underlying Pool
MBS — Mortgage-Backed Securities Home loans (RMBS) or commercial mortgages (CMBS)
ABS — Asset-Backed Securities Auto loans, credit-card receivables, student loans, equipment leases
PTC — Pass-Through Certificates Same as above; cash flows passed through proportionately
CDO — Collateralised Debt Obligations Pools of debt instruments (bonds, loans, ABS) — tranched
CLO — Collateralised Loan Obligations Pools of leveraged corporate loans
Covered bonds Bonds backed by a pool that remains on issuer’s balance sheet

33.11 2008 GFC and Securitization

The 2008 Global Financial Crisis was triggered substantially by sub-prime mortgage securitization in the US — sub-prime home loans were pooled into MBS and CDOs, sold to investors worldwide; when US home prices crashed, defaults cascaded, AAA-rated CDOs became worthless, and global banking collapsed. Key lessons: - Originate-to-distribute model weakens incentives to underwrite carefully. - Rating agency failures — over-rated securities. - Tail risk and correlation under-estimated. - Opacity and complexity of CDOs.

33.12 Indian Securitization Landscape

TipSecuritization in India
  • SARFAESI Act 2002 — Securitization and Reconstruction of Financial Assets and Enforcement of Security Interest Act — gave legal framework.
  • Asset Reconstruction Companies (ARCs) — buy distressed assets from banks; regulated by RBI.
  • RBI Master Direction on Securitization of Standard Assets, 2021 — replaced 2006 guidelines.
  • PTC and Direct Assignment are common Indian routes.
  • Securitization of Standard Assets — performing loans; NPA securitization — handled by ARCs under SARFAESI.
  • SEBI Issue and Listing of Securitized Debt Instruments Regulations, 2008 — for public-traded securitization paper.
NoteDistractor warning

PYQs often confuse securitization with factoring. Securitization involves pooling and issuing tradable securities — usually a long-term, structured-finance process; factoring is just selling specific receivables to a factor, usually for short-term liquidity, with no securities issued.

33.13 Practice Questions

Q 01 Markowitz Easy

Modern Portfolio Theory was developed by:

  • AWilliam Sharpe
  • BHarry Markowitz (1952)
  • CEugene Fama
  • DModigliani-Miller
View solution
Correct Option: B
**Markowitz (1952)** — Nobel 1990.
Q 02 Risk Easy

Beta (β) measures:

  • ATotal risk
  • BSystematic risk
  • CUnsystematic risk
  • DLiquidity risk
View solution
Correct Option: B
**β** = systematic / non-diversifiable risk relative to market.
Q 03 CAPM Medium

CAPM was developed by:

  • AMarkowitz
  • BSharpe (1964), Lintner, Mossin
  • CRoss (1976)
  • DFama-French
View solution
Correct Option: B
CAPM — **Sharpe 1964** (Nobel 1990), Lintner, Mossin independently.
Q 04 Diversification Medium

Diversification can eliminate:

  • ASystematic risk
  • BUnsystematic risk
  • CBoth
  • DNeither
View solution
Correct Option: B
Only **unsystematic** (firm-specific) risk is diversifiable.
Q 05 APT Medium

Arbitrage Pricing Theory (APT) was given by:

  • AMarkowitz
  • BSharpe
  • CStephen Ross (1976)
  • DFama
View solution
Correct Option: C
**Stephen Ross 1976** — multi-factor APT.
Q 06 Sharpe ratio Medium

The Sharpe ratio is:

  • A(R_p − R_f) / β_p
  • B(R_p − R_f) / σ_p
  • CR_p × β_p
  • DR_p / σ_p
View solution
Correct Option: B
**Sharpe** = excess return / total risk (σ).
Q 07 Treynor Medium

The Treynor ratio uses:

  • Aσ_p in the denominator
  • Bβ_p in the denominator
  • CP/E in the denominator
  • DVariance in the denominator
View solution
Correct Option: B
**Treynor** uses β (systematic risk).
Q 08 Correlation Hard

Diversification benefit is **maximum** when the correlation between two assets is:

  • A+1.0
  • B+0.5
  • C0.0
  • D−1.0
View solution
Correct Option: D
$\rho = -1$ → risk can be **eliminated** with proper weights.
Q 09 CML vs SML Hard

The Security Market Line (SML) plots:

  • AReturn vs total risk (σ)
  • BReturn vs systematic risk (β)
  • CReturn vs P/E
  • DReturn vs market cap
View solution
Correct Option: B
SML uses **β**; CML uses **σ**.
Q 10 Sec Concept Easy

Asset securitization involves:

  • APooling financial assets and issuing tradable securities backed by their cash flows
  • BIssuing equity
  • CTrading commodities
  • DBuying real estate
View solution
Correct Option: A
Pool → SPV → issue securities backed by cash flows.
Q 11 SPV Medium

In securitization, the SPV stands for:

  • ASpecial Purpose Vehicle
  • BStandard Pool Vehicle
  • CSecuritised Public Vehicle
  • DSovereign Pool Vehicle
View solution
Correct Option: A
**SPV** — Special Purpose Vehicle (also called SPE).
Q 12 SARFAESI Medium

India's primary law governing asset reconstruction and securitization is the:

  • ACompanies Act 2013
  • BSARFAESI Act 2002
  • CIBC 2016
  • DRBI Act 1934
View solution
Correct Option: B
**SARFAESI 2002** — Securitization and Reconstruction of Financial Assets and Enforcement of Security Interest Act.
Q 13 Types Medium

Match each instrument with its underlying pool:

Instrument Underlying
(i) MBS (a) Auto loans, credit-card receivables
(ii) ABS (b) Leveraged corporate loans
(iii) CLO (c) Pools of debt instruments / tranched
(iv) CDO (d) Home mortgages
  • A(i)-(d), (ii)-(a), (iii)-(b), (iv)-(c)
  • B(i)-(a), (ii)-(b), (iii)-(c), (iv)-(d)
  • C(i)-(b), (ii)-(c), (iii)-(d), (iv)-(a)
  • D(i)-(c), (ii)-(d), (iii)-(a), (iv)-(b)
View solution
Correct Option: A
MBS — mortgages; ABS — auto/CC; CLO — loans; CDO — pooled debt tranched.
Q 14 GFC Hard

The 2008 Global Financial Crisis was substantially triggered by failure of:

  • ASubprime mortgage-backed securitization in the US
  • BIndia's stock market
  • CJapanese government bond market
  • DEuropean single currency
View solution
Correct Option: A
US subprime MBS / CDO collapse triggered the GFC.
Q 15 CAPM Formula Medium

If R_f = 5 %, R_m = 12 %, β = 1.2, expected return is:

  • A8.4 %
  • B13.4 %
  • C14.4 %
  • D17 %
View solution
Correct Option: B
5 + 1.2 × (12 − 5) = 5 + 8.4 = **13.4 %**.
Q 16 Jensen Hard

Jensen's alpha measures:

  • ABeta
  • BRisk-adjusted excess return above CAPM expectation
  • CStandard deviation
  • DP/E ratio
View solution
Correct Option: B
**Jensen's α** = R_p − [R_f + β(R_m − R_f)] = excess over CAPM-required return.
Q 17 Aggressive Medium

A stock with β = 1.5 is:

  • ADefensive
  • BAggressive
  • CRisk-free
  • DTracking the market
View solution
Correct Option: B
β > 1 → **aggressive** (amplifies market moves).
Q 18 ARC Medium

In India, *Asset Reconstruction Companies* (ARCs) are regulated by:

  • ASEBI
  • BRBI
  • CIRDAI
  • DPFRDA
View solution
Correct Option: B
**RBI** — under SARFAESI Act.
Q 19 Securitisation v Factoring Hard

A key difference between securitization and factoring is:

  • ABoth involve issuing tradable securities
  • BSecuritization issues tradable securities via SPV; factoring is direct sale of receivables to a factor
  • CFactoring uses an SPV; securitization does not
  • DNo difference
View solution
Correct Option: B
Securitization is *structured* with SPV and tradable securities; factoring is *direct sale* to a factor.
Q 20 Authors Medium

Match each measure with its author / family:

Measure / Theory Author
(i) Portfolio Theory (a) Ross
(ii) CAPM (b) Markowitz
(iii) APT (c) Treynor
(iv) Treynor Ratio (d) Sharpe
  • A(i)-(b), (ii)-(d), (iii)-(a), (iv)-(c)
  • B(i)-(a), (ii)-(b), (iii)-(c), (iv)-(d)
  • C(i)-(d), (ii)-(c), (iii)-(b), (iv)-(a)
  • D(i)-(c), (ii)-(a), (iii)-(d), (iv)-(b)
View solution
Correct Option: A
Portfolio — Markowitz; CAPM — Sharpe; APT — Ross; Treynor ratio — Treynor.

33.14 Quick Recall

ImportantQuick recall
  • Return components: yield + capital gain; expected return = Σ p_i R_i.
  • Risk = σ of returns; systematic (β, non-diversifiable) + unsystematic (firm-specific, diversifiable).
  • Markowitz (1952) — modern portfolio theory; efficient frontier; Nobel 1990.
  • CAPM (Sharpe 1964; Lintner; Mossin): E(R) = R_f + β(R_m − R_f). SML uses β; CML uses σ.
  • APT (Ross 1976) — multi-factor model.
  • Performance measures: Sharpe (excess/σ), Treynor (excess/β), Jensen’s α (R_p − CAPM expected).
  • Diversification maximum at ρ = −1; minimum at ρ = +1.
  • Asset securitization — Originator → SPV → tradable securities (MBS, ABS, PTC, CDO, CLO).
  • Benefits: liquidity, off-balance sheet, risk transfer.
  • India: SARFAESI Act 2002, ARCs (RBI-regulated), RBI Master Direction on Securitization 2021, SEBI SDI Regulations 2008.
  • 2008 GFC — triggered by US subprime mortgage securitization.