## Nowcasting GDP Growth for Kenya — Working Paper No. WP/2026/032 (Content unit: wpiea2026032-source-pdf)

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### Data: composition, transformations, and selection
- Goal: build nowcasting predictions using traditional data routinely monitored by the CBK, markets, and media.
- Transformations and treatment:
  - Variables in Table 1 are transformed in year-on-year (y-o-y) log differences except for PMI and visitor arrivals (left in level); survey-based indicators are included in level.
- Predictor selection criteria:
  - Availability to monetary and economic institutions and markets; economic sector coverage; ability to track Kenya’s main economic sectors; comovement with GDP growth.
- Dataset composition:
  - Quarterly GDP series (target variable).
  - 11 hard and soft official input data recorded at the monthly frequency.
  - Hard data: agricultural trade in goods (tea and coffee), services (tourist arrivals), production (vehicles produced, electricity generated), remittances, money supply (M2).
  - Soft data: purchasing managers’ sentiments (PMI).
- Rationale for specific series:
  - Coffee and tea exports: significant in Kenya’s agricultural production and trade.
  - Diaspora remittances: Kenya’s largest source of foreign exchange; support household consumption and investment.
  - Visitor arrivals: capture tourism contribution; key source markets include the USA, UK, India, Tanzania, and Uganda.
  - Electricity and vehicle production: electricity generation reached approximately 13,000 GWh in 2024; installed capacity grew to 3.82 million kW in 2023; demand peaked at 2,362 MW in July 2025; vehicle production examples include 826 units in November 2024 and 978 units in October 2024; target production to 3,270 units by 2030.
- Exclusions:
  - Consumer Price Index not included because volatility of price indicators in Kenya is substantially higher than that of GDP growth.
- Key series metadata and contemporaneous correlations (selected entries from Table 1; transformations and exact values preserved):
  - Stanbic Bank Kenya PMI — Frequency: Monthly — Start — End Dates: Jan 2014 — Dec 2025 — Lag (days): 5 — Unit: Index — Transformation: Level — Correlation (ρy,gdp): -0.01 — Variance share of Common Component: 0.000 — Source: S&P Global
  - Diaspora Remittances — Frequency: Monthly — Start — End Dates: Jan 2004 — Nov 2025 — Lag (days): 11 — Unit: NSA, Mil. USD — Transformation: y-o-y %∆ — Correlation (ρy,gdp): -0.02 — Variance share of Common Component: 0.210 — Source: CBK
  - Mobile Money — Frequency: Monthly — Start — End Dates: Mar 2007 — Nov 2025 — Lag (days): 17 — Unit: NSA, Bil. KES — Transformation: y-o-y %∆ — Correlation (ρy,gdp): 0.02 — Variance share of Common Component: 0.254 — Source: KNBS/CBK
  - Exports of Goods — Frequency: Monthly — Start — End Dates: Aug 1998 — Nov 2025 — Lag (days): 41 — Unit: NSA, Mil. KES — Transformation: y-o-y %∆ — Correlation (ρy,gdp): 0.19** — Variance share of Common Component: 0.299 — Source: CBK
  - Imports of Goods — Frequency: Monthly — Start — End Dates: Aug 1998 — Nov 2025 — Lag (days): 41 — Unit: NSA, Mil. KES — Transformation: y-o-y %∆ — Correlation (ρy,gdp): 0.36*** — Variance share of Common Component: 0.618 — Source: CBK
  - Exports of Coffee — Frequency: Monthly — Start — End Dates: Aug 1998 — Nov 2025 — Lag (days): 41 — Unit: NSA, Tonnes — Transformation: y-o-y %∆ — Correlation (ρy,gdp): -0.02 — Variance share of Common Component: 0.028 — Source: KNBS/CBK
  - Exports of Tea — Frequency: Monthly — Start — End Dates: Aug 1998 — Nov 2025 — Lag (days): 41 — Unit: NSA, Tonnes — Transformation: y-o-y %∆ — Correlation (ρy,gdp): -0.18** — Variance share of Common Component: 0.104 — Source: KNBS/CBK
  - Money Supply (M2) — Frequency: Monthly — Start — End Dates: Dec 1995 — Sep 2025 — Lag (days): 45 — Unit: NSA, Mil. KES — Transformation: y-o-y %∆ — Correlation (ρy,gdp): 0.11 — Variance share of Common Component: 0.018 — Source: CBK
  - Electricity Production — Frequency: Monthly — Start — End Dates: Feb 2006 — Nov 2025 — Lag (days): 48 — Unit: NSA, Mil. KWh — Transformation: y-o-y %∆ — Correlation (ρy,gdp): 0.30*** — Variance share of Common Component: 0.073 — Source: KPLC/KNBS
  - Visitor Arrivals (Persons) — Frequency: Monthly — Start — End Dates: Jan 2007 — Sep 2025 — Lag (days): 48 — Unit: Number — Transformation: Level — Correlation (ρy,gdp): 0.38*** — Variance share of Common Component: 0.069 — Source: KTB/KNBS
  - Vehicle Production — Frequency: Monthly — Start — End Dates: Jan 2003 — Nov 2025 — Lag (days): 48 — Unit: Number — Transformation: y-o-y %∆ — Correlation (ρy,gdp): 0.35*** — Variance share of Common Component: 0.055 — Source: KNBS
  - Real GDP — Frequency: Quarterly — Start — End Dates: 2009 Q1 — 2025 Q3 — Lag (days): 99 — Unit: NSA, Mil. KES — Transformation: y-o-y %∆ — Correlation (ρy,gdp): 1.00 — Variance share of Common Component: 0.368 — Source: KNBS
- Notes: CBK—Central Bank of Kenya; KPLC—Kenya Power & Lighting Company; KNBS—Kenya National Bureau of Statistics; KTB—Kenya Tourism Board. ***, **, * indicate statistical significance at 1%, 5%, 10% level. Variance share estimated over January 2010 — September 2021.

### Transaction data and mobile-money indicators
- Motivation: timely non-traditional transaction data improve capture of private demand; digital payments data were highly effective during COVID-19.
- Novelty: first paper known to use digital payments data to nowcast GDP growth in Kenya.
- Mobile payments data (Total agent cash in cash out from CBK):
  - Publication timing: data published on the 17th of each month for the preceding month.
  - Reach and expansion (May 2025):
    - Active mobile money agents: 424,404
    - Registered mobile money accounts: 85.62 millions
    - Number of mobile money transactions: 214.51 millions
  - Transaction value trends:
    - Value of mobile money transactions dropped by 21.8% y-o-y to 636.21 billion Kenya Shillings (about 3.7% of 2025 GDP) in February 2025.
    - Value in May 2025: 713.25 billion Kenya Shillings (about 4.2% of 2025 GDP) — still 1.2% lower than the same month in the previous year.
  - Interpretation: divergence between transaction counts (edging higher) and transaction value (declining) in H1 2025 suggests a shift toward low-value payments and retreat in large-scale use, reflecting higher living costs and slowing household spending.
- Market structure and access:
  - M-PESA market share: edged down to 91% in 2025 Q1 amid increasing competition.
  - Financial access: over 85% of Kenyan adults have access to financial services mainly through digital platforms in 2025.
- Historical behavior:
  - Mobile money sector plunged in March–April 2020 and recovered by jumping 84% from its trough in April 2020 to February 2021.

### Sampling, real-time vintages, and correlations
- Frequency and lag: all indicators except quarterly GDP are sampled monthly and have a maximum delay of about one and a half months.
- Real-time vintages: detailed historical real-time datasets for Kenya do not exist; authors reconstructed pseudo data vintages starting from September 2021 to mimic actual data flow and evaluate the model in a pseudo-real-time setting.
- Contemporaneous correlations:
  - Most contemporaneous correlations (ρy,gdp) in Table 1 are economically and statistically significant.
  - About half of the contemporaneous correlations exceed 0.2.
  - PMI and remittances have relatively weak absolute contemporaneous correlations but are timely (reporting lags of 5 and 11 days) and lead GDP growth.
- Modeling implication: descriptive analysis supports application of a dynamic factor model to nowcast Kenya’s economic activity.

### Nowcasting framework: dynamic factor model (DFM) and estimation
- Modeling choice:
  - Dynamic factor model as in Giannone et al. (2008); full forecast framework where target and predictors are jointly determined and forecasted.
- Model decomposition and state-space representation (preserved in source):
  - yt = ΛFt + εt
  - Ft = ΓFt−1 + ut, ut ∼ i.i.d. N(0, Ξ)
  - εt = Θεt−1 + ηt, ηt ∼ i.i.d. N(0, Σ)
- Key assumptions:
  - Comovements summarized by a small set of unobserved common factors Ft.
  - Idiosyncratic components orthogonal to each other and to common factors at each lead and lag (diagonal Θ and Σ).
- Estimation strategy:
  - Expectation-maximization (EM) algorithm and Kalman filter; initial estimation via principal components.
  - Number of factors: models run with k = 1 to 5; authors settle on k = 2 as parsimonious; single-factor model often sufficient in many applications but two-factor chosen to capture pandemic dynamics.
- Mixed-frequency aggregation:
  - Quarterly GDP treated as partially observed at monthly frequency; monthly unobserved GDP growth y^m_t,gdp defined and aggregated to quarterly via y^q_t,gdp = y^m_t,gdp + y^m_{t−1},gdp + y^m_{t−2}, with monthly factor structure y^m_t,gdp = λ_gdp f_t + ε_t,gdp and ε_t,gdp = ρ_gdp ε_{t−1},gdp + η_t,gdp.
  - Monthly factor series extracted with the Kalman filter and plugged into aggregation to obtain quarterly nowcast.
- EM estimation for ragged-edge panels:
  - Initialization: PCA for F^{(0)} and OLS for Ψ^{(0)}.
  - E-step: compute expected log-likelihood and extract factors using Kalman filter and smoother.
  - M-step: re-estimate parameters by maximizing expected log-likelihood; iterate until convergence.
  - Modified M-step formulas and handling of missing observations preserved (Equations 16–24).
- Real-time news decomposition:
  - Nowcast revision identity: E[y^n_{t,n}|Ω_{v+1}] = E[y^n_{t,n}|Ω_v] + E[y^n_{t,n}|I_{v+1}], with news I_{v+1,j} = y^t_{j,n_j} − E[y^t_{j,n_j}|Ω_v].
  - Revision expressed as weighted sum of news: E[y^n_{t,n}|Ω_{v+1}] − E[y^n_{t,n}|Ω_v] = Σ_{j∈J_{v+1}} δ_{v+1,j} (y^t_{j,n_j} − E[y^t_{j,n_j}|Ω_v]).
  - Kalman smoother output provides news I_{v+1} and expectations to compute weights δ_{v+1,j}.
  - Practical complication: historical data revisions require iterative parameter reestimation.

### Empirical implementation, model selection, and forecasting design
- Model choice and sample:
  - Two-factor DFM chosen based on empirical findings: single-factor fails to capture COVID-19 recession and recovery; ≥2 factors capture pandemic dynamics better; models with more than two factors virtually indistinguishable.
  - Estimated from January 2010 to September 2021.
- Real-time forecasting exercise:
  - Simulated forecaster runs model in real time every two weeks beginning September 21, 2021.
  - Model parameters recursively re-estimated at the start of each quarter using the most recent 12 years of data; parameters fixed within the quarter.
  - Nowcasts generated solely from variables that would have been released by that time following stylized availability calendar.
  - Pseudoreal-time period: sequential forecasts from September 2021 to March 2024.
  - Truereal-time forecast: April 2024 to December 2025 (using real-time vintages for series in Table 1).
  - Prediction frequency in each quarter:
    - Six nowcasts of the current-quarter GDP growth (two nowcasts on the 7th and 21st day of each of the three months in the quarter).
    - Six backcasts of the previous-quarter GDP growth.

### Real-time nowcasting results and variable contributions (2024 Q3 — 2025 Q4)
- Nowcast schedule and example timeline:
  - 12 predictions for each quarter; nowcast covers three months of the reference quarter plus three months following it up to GDP publication date.
  - First update for 2024 Q3 nowcast: July 7 (coinciding with PMI, M2, and first-quarter GDP growth figures).
- July 7–July 21, 2024:
  - Nowcast fell from 4.06% to 3.57% between updates on July 7 and July 21.
  - Main negative drivers in July: second-quarter growth rate, PMI, and M2.
  - Broad-based downward revision except visitor arrivals and tea exports.
  - Largest downward adjustments: imports, exports, and mobile money; followed by electricity production and remittances.
- August–October 2024 pattern:
  - GDP growth decline begins in July, stabilizes in August, picks up in September and October driven by positive readings in imports, exports, vehicle production, visitor arrivals, and remittances.
  - Subsequent downward revisions as most macro indicators released, reflecting weak digital money, trade, and vehicle production.
  - Backcasting for 2024 Q3 begins October 2024; backcasted growth stays around 3.87% through end-December 2024.
  - Predicted GDP growth for 2024 Q3: 4.65%; actual recorded growth for 2024 Q3: 4.2%.
- 2024 Q4 nowcast:
  - Downward revisions continued until January 2025, driven by disappointing trade and digital money readings, then stabilized through March 2025.
  - 2024 Q4 GDP data release on May 6, 2025 led to a large upward revision from 3.12% to 4.00%.
- 2025 Q2 nowcast:
  - Gradual upward revision from 3.87% in April to 5.18% in September 2025, approaching the actual growth rate of 5.0%.
  - Primary drivers of the upward adjustment: imports, followed by vehicle production; digital money provided an initial substantial contribution in April 2025.
- 2025 Q3 nowcast:
  - Final prediction for 2025 Q3: 4.74%; actual published growth by KNBS on December 31, 2025: 4.90%.
- 2025 Q4 nowcast:
  - Forecast edged down from 4.61% on October 7, 2025 to 4.16% on December 21, 2025, primarily due to weak digital money readings, before recovering to 4.50% in January 2026.

### Drivers, timing, and impact assessments
- Main contributing sectors to nowcast revisions:
  - Trade variables (exports and imports) are the most significant contributors; exports and imports exerted largest downward influence in July 2024; imports drove upward revisions in August–September 2024.
  - Digital money (mobile money) played a crucial role in July and August revisions, with a large negative contribution in August 2024.
  - Production variables (electricity and vehicle production) are important contributors.
  - Visitor arrivals contribute positively when recovering.
- Timing of useful information:
  - Digital money figures published 15 to 17 days after month-end.
  - PMI is the timeliest variable; contributes mainly at the beginning of the nowcast quarter with impact fading over time.
  - Most useful information arrives in the middle of the nowcasting period (bell-shaped pattern); early and late surprises have less impact.
- Four key empirical insights (average absolute weekly impact, real time 2022–2025):
  - Publication of previous-quarter GDP growth significantly affects nowcast updates for both nowcasts and backcasts.
  - Most important sectors: trade (exports and imports), production (electricity and vehicle), and consumption (digital money).
  - Positive association between imports and GDP growth: imports act as catalysts via capital goods and intermediate inputs, supporting productivity, industrialization, and export competitiveness.
  - Mobile/digital money has substantial contribution: facilitates formal and informal sector activity, boosts financial inclusion, consumption smoothing, risk-sharing, and poverty alleviation.

### Predictive performance, nowcast errors, and annual forecasts
- General model performance:
  - Model tracks actual GDP growth closely over time, capturing the 2022 slowdown and 2023 rebound.
  - Nowcast accuracy improves as more data arrive closer to GDP publication.
- Specific examples:
  - 2024 Q1 nowcasts (January–March 2024): revised up from 5.06% to 6.40% (six nowcasts).
  - 2024 Q1 backcasts (April–June 2024): remained around 6.30% until official GDP publication in early July 2024 at 4.94%.
  - 2024 Q2 nowcasts (April–June 2024): ranged from 5.78% to 4.83%; backcasts updated to values between 3.47% and 3.89% until 2024 Q2 GDP growth of 4.6% published on October 2, 2024.
  - 2025 Q1 nowcasts: revised downward from 4.16% to 3.12%, driven by negative news in mobile money figures; 2024 Q4 GDP data release partly offset negative effects.
  - 2025 Q2 and Q3 predictions hovered around 5% and aligned with realized figures.
- Nowcast errors:
  - Defined as Error_t = ˆE[y_t,gdp | Ω_T] − y_t,gdp for 0 ≤ t ≤ T.
  - Errors shrink toward zero as time approaches official GDP data release (errors computed across 15 quarters from 2021Q4 to 2025Q3).
- Annual predictions and benchmarking:
  - Annual nowcasts constructed by aggregating quarterly forecasts updated bimonthly.
  - Nowcast for 2024:
    - Nowcasts decreased from 5.60% to 5.07% in first half of 2024 because of negative trade developments, then rebounded and stabilized to 4.72% in 2025 Q1.
    - Nowcasts were significantly lower than other institutional predictions in 2024 Q1 but gradually converged toward CBK and WEO forecasts, surpassing them slightly in 2025 Q2 by 2 and 21 basis points, respectively.
  - Nowcast for 2025:
    - As of reporting date, 10 data points still missing from required 33.
    - On December 7, 2025 the model predicted an increase in growth to 4.72% in 2025, up from 4.37% in January 2025.
    - Nowcasts for 2025 were substantially lower than institutional predictions in Q1 but converged toward WEO projections in Q3 and Q4.
  - Backtesting annual GDP growth:
    - 2022 backcasts: dropped from 5.94% to 4.94% in 2022 Q3, then gradually to 4.87% in 2023 Q1, close to realized GDP growth of 4.90%; CBK and WEO forecasts remained higher (~5.6% and 5.37% in 2023 Q1).
    - 2023 backcasts: rose from 3.44% in 2023 Q1 to 5.72% in 2024 Q1; CBK and WEO forecasts ranged between 5% and 6.1%.
    - Interpretation: CBK and WEO forecasts display stronger inertia; the DFM nowcasts are more flexible and track actual GDP growth more closely as information accumulates.

### Policy relevance and practical implications
- Operational schedule:
  - Run nowcast of current-quarter growth and backcast of previous-quarter growth on the 7th and 21st day of each month.
- Policy uses:
  - Framework produces timely predictions and interpretable updates to inform stabilization measures and help calibrate development policies.
  - News decomposition shows which incoming data drive revisions and why, aiding policymakers in identifying sectoral shocks and transmission channels.
- Flexibility and extension:
  - Approach can seamlessly include new predictors as high-frequency and non-traditional indicators grow, enabling application to other LICs with infrequent or annual GDP series.

*Source: wpiea2026032-source-pdf - Nowcasting GDP Growth for Kenya — Working Paper No. WP/2026/032 (excerpted content units 2.1–3.2–4.1 and annex highlights).*

### 2.1    Data

### 2.1    Data

### 2.1.1 GDP and economic activity data
- Goal: build nowcasting predictions using traditional data routinely monitored by the CBK, markets, and media.
- Data transformation:
  - Variables in Table 1 are transformed in year-on-year (y-o-y) log differences to induce stationarity and address seasonality, except for PMI and visitor arrivals series that are already stationary and therefore are left in level.
  - Survey-based indicators are included in level because they typically already reflect changes in current macroeconomic conditions.
- Predictor selection criteria: availability of data monitored by monetary and economic institutions and markets, economic sector coverage, ability to track activity in Kenya’s main economic sectors, and comovement with GDP growth.
- Dataset composition:
  - Quarterly GDP series (target variable).
  - 11 hard and soft official input data recorded at the monthly frequency.
  - Hard data: real sector official agricultural variables on trade in goods (tea and coffee), services (tourist arrivals), production (vehicles produced, electricity generated), remittances, money supply (M2).
  - Soft data: purchasing managers’ sentiments (PMI).
- Rationale for including specific series:
  - Coffee and tea exports: significant in Kenya’s agricultural production and trade; monitored by financial analysts.
  - Diaspora remittances: Kenya’s largest source of foreign exchange; support household consumption and investment.
  - Visitor arrivals: capture tourism contribution; key source markets include the USA, UK, India, Tanzania, and Uganda.
  - Electricity and vehicle production: important production variables; electricity generation reached approximately 13,000 GWh in 2024; installed capacity grew to 3.82 million kW in 2023; demand peaked at 2,362 MW in July 2025; vehicle production examples include 826 units in November 2024 and 978 units in October 2024; target production to 3,270 units by 2030.
- Not included: Consumer Price Index is not included because the volatility of price indicators in Kenya is substantially higher than that of GDP growth.
- Table 1: Selected economic indicators (excerpted key fields)
  - Stanbic Bank Kenya PMI — Frequency: Monthly — Start — End Dates: Jan 2014 — Dec 2025 — Lag (days): 5 — Unit: Index — Transformation: Level — Correlation (ρy,gdp): -0.01 — Variance share of Common Component: 0.000 — Source: S&P Global
  - Diaspora Remittances — Frequency: Monthly — Start — End Dates: Jan 2004 — Nov 2025 — Lag (days): 11 — Unit: NSA, Mil. USD — Transformation: y-o-y %∆ — Correlation (ρy,gdp): -0.02 — Variance share of Common Component: 0.210 — Source: CBK
  - Mobile Money — Frequency: Monthly — Start — End Dates: Mar 2007 — Nov 2025 — Lag (days): 17 — Unit: NSA, Bil. KES — Transformation: y-o-y %∆ — Correlation (ρy,gdp): 0.02 — Variance share of Common Component: 0.254 — Source: KNBS/CBK
  - Exports of Goods — Frequency: Monthly — Start — End Dates: Aug 1998 — Nov 2025 — Lag (days): 41 — Unit: NSA, Mil. KES — Transformation: y-o-y %∆ — Correlation (ρy,gdp): 0.19** — Variance share of Common Component: 0.299 — Source: CBK
  - Imports of Goods — Frequency: Monthly — Start — End Dates: Aug 1998 — Nov 2025 — Lag (days): 41 — Unit: NSA, Mil. KES — Transformation: y-o-y %∆ — Correlation (ρy,gdp): 0.36*** — Variance share of Common Component: 0.618 — Source: CBK
  - Exports of Coffee — Frequency: Monthly — Start — End Dates: Aug 1998 — Nov 2025 — Lag (days): 41 — Unit: NSA, Tonnes — Transformation: y-o-y %∆ — Correlation (ρy,gdp): -0.02 — Variance share of Common Component: 0.028 — Source: KNBS/CBK
  - Exports of Tea — Frequency: Monthly — Start — End Dates: Aug 1998 — Nov 2025 — Lag (days): 41 — Unit: NSA, Tonnes — Transformation: y-o-y %∆ — Correlation (ρy,gdp): -0.18** — Variance share of Common Component: 0.104 — Source: KNBS/CBK
  - Money Supply (M2) — Frequency: Monthly — Start — End Dates: Dec 1995 — Sep 2025 — Lag (days): 45 — Unit: NSA, Mil. KES — Transformation: y-o-y %∆ — Correlation (ρy,gdp): 0.11 — Variance share of Common Component: 0.018 — Source: CBK
  - Electricity Production — Frequency: Monthly — Start — End Dates: Feb 2006 — Nov 2025 — Lag (days): 48 — Unit: NSA, Mil. KWh — Transformation: y-o-y %∆ — Correlation (ρy,gdp): 0.30*** — Variance share of Common Component: 0.073 — Source: KPLC/KNBS
  - Visitor Arrivals (Persons) — Frequency: Monthly — Start — End Dates: Jan 2007 — Sep 2025 — Lag (days): 48 — Unit: Number — Transformation: Level — Correlation (ρy,gdp): 0.38*** — Variance share of Common Component: 0.069 — Source: KTB/KNBS
  - Vehicle Production — Frequency: Monthly — Start — End Dates: Jan 2003 — Nov 2025 — Lag (days): 48 — Unit: Number — Transformation: y-o-y %∆ — Correlation (ρy,gdp): 0.35*** — Variance share of Common Component: 0.055 — Source: KNBS
  - Real GDP — Frequency: Quarterly — Start — End Dates: 2009 Q1 — 2025 Q3 — Lag (days): 99 — Unit: NSA, Mil. KES — Transformation: y-o-y %∆ — Correlation (ρy,gdp): 1.00 — Variance share of Common Component: 0.368 — Source: KNBS
- Notes: CBK—Central Bank of Kenya; KPLC—Kenya Power & Lighting Company; KNBS—Kenya National Bureau of Statistics; KTB—Kenya Tourism Board. ***, **, * indicate statistical significance of contemporaneous correlations at 1%, 5%, 10% level, respectively. The variance share of common component is estimated over the in-sample period spanning January 2010 and September 2021.

### 2.1.2 Transaction data
- Rationale: use timely insights from non-traditional transaction data to better capture private demand; digital payments data were highly effective during the COVID-19 pandemic.
- Novelty: to the authors’ knowledge, this is the first paper that uses digital payments data to nowcast GDP growth in Kenya.
- Digital payments data:
  - Source: Total agent cash in cash out from the CBK (mobile payments data compiled by the CBK from digital payment platforms).
  - Publication timing: data published on the 17th of each month for the preceding month.
  - Reach and expansion (May 2025):
    - Active mobile money agents: 424,404
    - Registered mobile money accounts: 85.62 millions
    - Number of mobile money transactions: 214.51 millions
  - Transaction value trends:
    - Value of mobile money transactions dropped by 21.8% y-o-y to 636.21 billion Kenya Shillings (about 3.7% of 2025 GDP) in February 2025.
    - Value in May 2025: 713.25 billion Kenya Shillings (about 4.2% of 2025 GDP) — still 1.2% lower than the same month in the previous year.
  - Interpretation: divergence between transaction counts (edging higher) and transaction value (declining) in H1 2025 suggests a shift toward low-value payments and a retreat in large-scale use, reflecting higher living costs and slowing household spending.
- Market structure:
  - M-PESA market share: edged down to 91% in 2025 Q1 amid increasing competition (e.g., Airtel Money).
  - Financial access: over 85% of Kenyan adults have access to financial services mainly through digital platforms in 2025.
- Historical behavior: mobile money sector plunged in March–April 2020, recovered by jumping 84% from its trough in April 2020 to February 2021, driven by Central Bank measures and shifts to contactless transactions.
- Note: terms digital payment, digital money, and mobile money are used interchangeably.

### 2.1.3 Sampling frequencies and correlations
- Frequency and lag: all indicators except quarterly GDP are sampled monthly and have a maximum delay of about one and a half months.
- Real-time vintages: detailed historical real-time datasets for Kenya do not exist; the authors reconstructed pseudo data vintages starting from September 2021 to mimic actual data flow and evaluate the model in a pseudo-real-time setting.
- Contemporaneous correlations:
  - Most contemporaneous correlations (ρy,gdp) in Table 1 are economically and statistically significant.
  - About half of the contemporaneous correlations exceed 0.2.
  - PMI and remittances have relatively weak absolute contemporaneous correlations but are timely (reporting lags of 5 and 11 days) and lead GDP growth.
- Modeling implication: descriptive analysis supports application of a dynamic factor model to nowcast Kenya’s economic activity.
- Note: Annex A provides additional details on the transactions.

### 2.2 Why nowcast Kenya’s GDP growth?

#### 2.2.1 Main challenges to predict near-term GDP growth
- Long delay in GDP releases: GDP data typically published with at least one quarter delay; in some LICs GDP is only available annually and subject to substantial revisions.
- Limited data availability: only 11 monthly economic series publicly available for Kenya (Table 1) compared to 190,000 monthly US series in the St. Louis Fed database (accessed July 30, 2025).
- Shorter historical data: shorter series make reliable model development more challenging.
- Mixed frequencies and ragged edge: different frequencies (monthly, quarterly, annual), asynchronous release dates, missing observations create a sparse ragged-edge dataset structure complicating nowcasting.
- Data discontinuities and series changes: more severe in developing and low-income countries where publication can be discontinued or frequencies changed.
- Modeling approach to handle issues: treat mixed frequencies as temporal aggregation and periodically missing observations; handle ragged edge as missing data; use Kalman filter to interpolate and forecast missing observations while accommodating aggregation — full-system dynamic factor models jointly model target and predictors.
- Advantage: Kalman filter allows computation of model-based surprises (news) for each release, enabling systematic evaluation of contributions from surveys, financial indicators, production, or labor market data.
- Policy relevance: framework produces timely predictions and interpretable updates to help policymakers take informed decisions concerning stabilization measures.

#### 2.2.2 Data releases and nowcasting
- Timing implication: Kenya GDP publication lag of at least one quarter implies the need to estimate both current quarter GDP growth (nowcast) and previous quarter GDP growth (backcast).
- Operational schedule: run a nowcast of current quarter growth and a backcast of previous quarter growth on the 7th and 21st day of each month.

### 3 Nowcasting framework

#### 3.1 Dynamic factor model
- Modeling choice: dynamic factor model (DFM) as in Giannone et al. (2008); a full forecast framework where target and predictors are endogenously and jointly determined and forecasted.
- Model decomposition: each indicator decomposed into (1) common factors Ft and (2) idiosyncratic component εt.
- Key assumptions:
  - Comovements summarized by a small set of unobserved common factors Ft.
  - Idiosyncratic components are orthogonal to each other and to common factors at each lead and lag (diagonal Θ and Σ).
  - Diagonal Θ and Σ preserve cross-orthogonality among idiosyncratic components; robustness to violations documented (Doz et al., 2012; Barigozzi and Luciani, 2024).
- Model equations (state-space representation preserved as in source):
  - yt = ΛFt + εt
  - Ft = ΓFt−1 + ut, ut ∼ i.i.d. N(0, Ξ)
  - εt = Θεt−1 + ηt, ηt ∼ i.i.d. N(0, Σ)
  - State-space stacking and covariance structure as specified in the source.
- Estimation strategy: expectation-maximization algorithm and the Kalman filter; initial estimation based on principal components (Doz et al., 2012).
- Number of factors: run model with k ranging from 1 to 5; authors settle on a two-factor model (k = 2) as a parsimonious choice to avoid overfitting; note that a single-factor model is often sufficient in many nowcasting applications but results shown are a conservative lower bound of potential accuracy.

*Source: wpiea2026032-source-pdf - 2.1    Data*

### 3.2    Mixed frequencies

### 3.2    Mixed frequencies

### Factor-based mixed-frequency aggregation
- Nowcasting model is fitted to a dataset containing mixed-frequency (quarterly and monthly) indicators; a factor-based mixed-frequency aggregation bridges the frequency gap between monthly predictors and quarterly GDP growth.
- Notation: the vector in Equation 1 is rewritten as y_t = [y^q_t,gdp; y^m_t].
- Quarterly GDP growth y^q_t,gdp is treated as partially observed at the monthly frequency, with its quarterly release assigned to the last month of the respective quarter.
- Monthly unobserved GDP growth y^m_t,gdp is defined as the difference in log level GDP Y^m_t,gdp − Y^m_{t−1},gdp and features the same factor structure as other monthly indicators:
  - y^m_t,gdp = λ_gdp f_t + ε_t,gdp. (7)
  - ε_t,gdp = ρ_gdp ε_{t−1},gdp + η_t,gdp. (8)
- Aggregation mapping monthly to quarterly year-on-year GDP growth (partially observed every third month):
  - y^q_t,gdp = y^m_t,gdp + y^m_{t−1},gdp + y^m_{t−2},gdp
  - = λ_gdp (f_t + f_{t−1} + f_{t−2}) + ε_t,gdp + ε_{t−1},gdp + ε_{t−2},gdp. (9)
- Implication: quarterly variables load equally on current and two lagged values of the unobserved monthly factor; monthly factor series are extracted with the Kalman filter and plugged into Equation 9 to obtain the nowcast for quarterly GDP growth.
- Note: the same approach could be applied when GDP growth is available at even lower frequencies (e.g., annual or biannual).

### Estimation: expectation-maximization algorithm
- Estimation uses an expectation-maximization (EM) approach (Watson and Engle, 1983; Doz et al., 2012) adapted for ragged-edge nowcasting panels (Baňbura and Modugno, 2014) to handle arbitrary patterns of missing data.
- Definitions and initialization:
  - T_υ denotes the time index of the most recent observation in the information set Ω_υ.
  - Log-likelihood expressed as L(y,F,Ψ) with y = (y_1,...,y_{T_υ}), F = (F_1,...,F_{T_υ}), and Ψ = (Λ,Γ,Θ,Σ,Ξ).
  - EM initialized at iteration ι = 0: factors F^{(0)}_t extracted by Principal Component Analysis (PCA); parameters Ψ^{(0)} estimated by ordinary least squares (OLS).
- Iterative steps until convergence:
  - E-step: given current estimates ˆΨ^{(ι)}, compute expected log-likelihood L(Ψ,Ψ^{(ι)}) = E_{Ψ^{(ι)}}[L(y,F,Ψ)|Ω_υ] and extract factors using the Kalman filter and smoother.
  - M-step: re-estimate parameters by maximizing the expected log-likelihood Ψ^{(ι+1)} = arg max_Ψ L(Ψ,Ψ^{(ι)}).
- Practical notes:
  - Simplicity of steps makes algorithm computationally viable without size limitations; each step increases likelihood but convergence to a global maximum is not guaranteed (local maxima possible).
  - PCA typically provides a good starting point close to the MLE (Doz et al., 2012).
  - Bayesian alternatives exist (D’Agostino et al., 2016; Antolín-Díaz et al., 2024) using priors and Gibbs sampling: (1) draw missing data and latent factors conditional on parameters via simulation smoother; (2) draw parameters conditional on full data and latent factors from posterior distributions.
- Ancillary references: EM details and state-space representation in Annex Section C and Section B of the Annex.

### Real-time data flow and news decomposition
- Objective: establish framework to utilize flow of real-time data releases for nowcasting Kenya’s GDP growth; model produces nowcasts and forecasts for all variables, enabling extraction of news (unexpected component) from released data.
- News-driven nowcast updating:
  - Consider two consecutive data vintages Ω_v and Ω_{v+1} (variables released in months v and v+1). Ω_v ⊂ Ω_{v+1} and Ω_{v+1}\Ω_v = y^t_{j,n_j}, for j = 1,...,J_{v+1}. (10)
  - Nowcast revision identity (conditional expectation as orthogonal projection):
    - E[y^n_{t,n}|Ω_{v+1}] = E[y^n_{t,n}|Ω_v] + E[y^n_{t,n}|I_{v+1}]. (11)
    - I_{v+1} = [I_{v+1,1} ... I_{v+1,J_{v+1}}]' with I_{v+1,j} = y^t_{j,n_j} − E[y^t_{j,n_j}|Ω_v]; I_{v+1} is the “news” (orthogonal to Ω_v).
  - Nowcast revision expressed as weighted sum of news:
    - E[y^n_{t,n}|Ω_{v+1}] − E[y^n_{t,n}|Ω_v] = Σ_{j∈J_{v+1}} δ_{v+1,j} (y^t_{j,n_j} − E[y^t_{j,n_j}|Ω_v]). (12)
    - J_{v+1} is the set of newly released variables at time v+1; δ_{v+1,j} are associated weights.
  - Interpretation:
    - Revision magnitude depends on both news magnitude and relevance (weight δ_{v+1,j}).
    - Equation 12 generalizes the Kalman filter update to asynchronous arrivals; filter uncertainty for y^n_{t,n} diminishes with new data releases and can be similarly decomposed.
    - When multiple variables are released simultaneously, forecast revision can be decomposed into contributions from each series or group.
    - A full prediction model predicting all variables in real time is necessary to construct transparent news decomposition; partial models do not provide complete model-based impacts of news and change specification with data availability.
- Practical complications:
  - Formula in Equation 12 assumes fixed model parameters while Ω_v expands only via new releases; in practice, historical data are often revised, so model parameters are reestimated iteratively (Section 3.3 and Annex Section C).
  - Kalman smoother output provides the news I_{v+1} and expectations needed to compute weights δ_{v+1,j} (Baňbura and Modugno, 2010; Baňbura et al., 2011, 2013).
  - MIDAS is noted as a computationally convenient partial prediction approximation (Bai et al., 2013), but the Kalman filter-based estimation used here is computationally efficient and viable with very large datasets (Doz et al., 2012); partial-model drawbacks relative to full-system DFM are highlighted.

### Empirical implementation and model selection (summary points linking mixed frequencies to empirical practice)
- Model choice and sample:
  - Two-factor DFM chosen for Kenya based on empirical findings: single-factor models fail to capture the COVID-19 recession and recovery dynamics; multi-factor models (≥2 factors) capture pandemic dynamics better and models with more than two factors are virtually indistinguishable.
  - Estimated from January 2010 to September 2021.
  - Two-factor model’s common component closely tracks GDP growth and sectoral indicators, capturing normal-cycle fluctuations and large swings (sharp decline in 2020 and recovery in 2021).
  - Annexes E–I present DFM results for one- and three-factor models; nowcasts from 4- and 5-factor models are available from the authors upon request.
- Real-time forecasting exercise design and timing:
  - Simulated forecaster runs model in real time every two weeks beginning on September 21, 2021.
  - Model parameters recursively re-estimated at the start of each quarter using the most recent 12 years of data; parameters are fixed within the quarter for the nowcast prediction exercise.
  - Nowcasts generated solely from variables that would have been released by that time following the stylized data availability calendar in Section 3.4.
  - Pseudoreal-time period: sequential forecasts from September 2021 to March 2024 (using constructed pseudo-vintages mimicking real-time data flow).
  - Truereal-time forecast extends from April 2024 to December 2025 (using real-time vintages for series listed in Table 1).
  - Prediction frequency in each quarter:
    - Six nowcasts of the current-quarter GDP growth (two nowcasts on the 7th and 21st day of each of the three months in the quarter).
    - Six backcasts of the previous-quarter GDP growth to mimic historical real-time predictions.
  - The nowcast revision visualization (Figure 4) constructs a weekly progression with black diamonds representing weekly nowcasts and colored bars showing contributions of the news component from all 12 variables; black triangle indicates the impact per Equation 12.
  - Pseudoreal-time quarterly predictions constructed for 2021 Q3 to 2024 Q1; truereal-time forecasts span 2024 Q2 to 2025 Q4. Final predictions for example quarters shown are 2024 Q3 — 2025 Q4; nowcasts for other quarters are available in Annex F.

*Source: wpiea2026032-source-pdf - 3.2–4.1*

### 2024.  We produce bimonthly updates of nowcasts, forecasts, and backcasts, resulting in

### wpiea2026032-source-pdf - 2024.  We produce bimonthly updates of nowcasts, forecasts, and backcasts, resulting in

### Nowcast updates and timeline (2024 Q3 — 2024 Q4)
- Nowcast schedule: 12 predictions for each quarter; nowcast covers the three months of the reference quarter plus the three months following it, up to the GDP publication date.
- First update for the 2024 Q3 nowcast: July 7, coinciding with PMI, M2, and first-quarter GDP growth figures.
- July 7–July 21 revisions:
  - Nowcast fell from 4.06% to 3.57% between updates on July 7 and July 21.
  - Main negative drivers in July: second-quarter growth rate, PMI, and M2.
  - Broad-based downward revision except visitor arrivals and tea exports.
  - Largest downward adjustments: imports, exports, and mobile money (digital money); followed by electricity production and remittances.
- August–October 2024 pattern:
  - GDP growth decline begins in July, stabilizes in August, picks up in September and October driven by positive readings in imports, exports, vehicle production, visitor arrivals, and remittances.
  - Subsequent downward revisions as most macro indicators are released, reflecting weak digital money, trade, and vehicle production.
  - Backcasting for 2024 Q3 begins October 2024 (start of Q4); backcasted growth stays around 3.87% through end-December 2024.
  - Predicted GDP growth for 2024 Q3: 4.65%; actual recorded growth for 2024 Q3: 4.2%.

### Drivers and variable contributions (key findings)
- Trade variables are the most significant contributors to nowcast revisions:
  - Exports and imports exert the largest downward influence in July 2024.
  - Imports drive the upward revision observed in August and September 2024.
- Digital money (mobile money) is crucial in July and August revisions, with a particularly notable negative contribution in August 2024.
- Timely variables provide early signals:
  - PMI acts as a leading indicator early in the nowcast quarter, with little to no effects toward the end.
  - Useful to include both timeliest indicators (signaling direction) and variables with strong comovement.
- Vehicle production increase in September 2024 led to an upward revision, later revised downward in October 2024.

### Real-time revisions across 2024 Q4 – 2025 Q4 (Panels B–F summary)
- 2024 Q4 nowcast:
  - Downward revisions continued until January 2025, driven by disappointing trade and digital money readings, then stabilized through March 2025.
  - 2024 Q4 GDP data release on May 6, 2025 led to a large upward revision from 3.12% to 4.00%.
- 2025 Q2 nowcast:
  - Gradual upward revision from 3.87% in April to 5.18% in September 2025, approaching the actual growth rate of 5.0%.
  - Primary drivers of the upward adjustment: imports, followed by vehicle production; digital money provided an initial substantial contribution in April 2025.
- 2025 Q3 nowcast:
  - Final prediction for 2025 Q3: 4.74%; actual published growth by KNBS on December 31, 2025: 4.90%.
- 2025 Q4 nowcast:
  - Forecast edged down from 4.61% on October 7, 2025 to 4.16% on December 21, 2025, primarily due to weak digital money readings, before recovering to 4.50% in January 2026.

### Impact of macroeconomic data releases (Figure 5 insights)
- Four key insights from average absolute weekly impact (real time, 2022–2025 sample):
  - The publication of previous-quarter GDP growth significantly affects nowcast updates for both nowcasts and backcasts.
  - Most important sectors: trade (exports and imports), production (electricity and vehicle), and consumption (digital money).
  - Positive association between imports and GDP growth: imports act as catalysts via technology-embedded capital goods and intermediate inputs, supporting productivity, industrialization, and export competitiveness.
  - Mobile/digital money has substantial contribution: facilitates formal and informal sector activity, boosts financial inclusion, consumption smoothing, risk-sharing, and poverty alleviation.
- Timing of useful information:
  - Digital money figures published 15 to 17 days after month-end.
  - PMI is the timeliest variable; contributes mainly at the beginning of the sample with influence fading over time.
  - The most useful information arrives in the middle of the nowcasting period (bell-shaped pattern); early and late surprises have less impact.

### Predictive performance and nowcast errors (out-of-sample evaluation)
- Overall model behavior:
  - Model tracks actual GDP growth closely over time, capturing 2022 slowdown and 2023 rebound.
  - Nowcast accuracy improves as more data arrive closer to GDP publication.
- Specific quarterly examples:
  - 2024 Q1 nowcasts (January–March 2024): revised up from 5.06% to 6.40% (six nowcasts).
  - 2024 Q1 backcasts (April–June 2024): remain around 6.30% until official GDP publication in early July 2024 at 4.94% (actual lower than predicted).
  - 2024 Q2 nowcasts (April–June 2024): values ranged from 5.78% to 4.83%; backcasts updated to values between 3.47% and 3.89% until 2024 Q2 GDP growth of 4.6% published on October 2, 2024.
  - 2025 Q1 nowcasts: revised downward from 4.16% to 3.12%, driven by negative news in mobile money figures; 2024 Q4 GDP data release partly offset negative effects.
  - 2025 Q2 and Q3 predictions hovered around 5%, in line with realized figures.
- Nowcast errors:
  - Defined as Error_t = ˆE[y_t,gdp | Ω_T] − y_t,gdp for 0 ≤ t ≤ T.
  - Nowcast errors shrink toward zero as time approaches official GDP data release (errors computed across 15 quarters from 2021Q4 to 2025Q3).
  - Dots at horizon one show revision error as of one day before GDP release; averaged across quarters to produce error profiles by weeks until publication.

### Annual predictions and benchmarking (calendar year assessments)
- Annual nowcasts constructed by aggregating quarterly forecasts updated bimonthly.
- Nowcast for 2024 (Panel A, Figure 8):
  - Nowcasts decreased from 5.60% to 5.07% in the first half of 2024 because of negative trade developments, then rebounded and stabilized to 4.72% in 2025 Q1, matching actual GDP growth before official release.
  - Nowcasts were significantly lower than other institutional predictions in 2024 Q1 but gradually converged toward CBK and WEO forecasts, surpassing them slightly in 2025 Q2 by 2 and 21 basis points, respectively.
- Nowcast for 2025 (Panel B, Figure 8):
  - As of the reporting date, 10 data points still missing from required 33.
  - On December 7, 2025 the model predicted an increase in growth to 4.72% in 2025, up from 4.37% in January 2025.
  - Nowcasts for 2025 were substantially lower than institutional predictions in Q1 but converged toward WEO projections in Q3 and Q4.
- Backtesting annual GDP growth (Figure 9):
  - 2022 backcasts: dropped from 5.94% to 4.94% in 2022 Q3, then gradually to 4.87% in 2023 Q1, close to realized GDP growth of 4.90%; CBK and WEO forecasts remained higher (~5.6% and 5.37% in 2023 Q1).
  - 2023 backcasts: rose from 3.44% in 2023 Q1 to 5.72% in 2024 Q1; CBK and WEO forecasts ranged between 5% and 6.1%.
  - Interpretation: CBK and WEO forecasts display stronger inertia; the DFM nowcasts are more flexible and track actual GDP growth more closely as information accumulates.

_Italic: Source content unit "wpiea2026032-source-pdf - 2024.  We produce bimonthly updates of nowcasts, forecasts, and backcasts, resulting in" (excerpt)._

### Section  3.   GDP  release  dates  follow  the  official  calendar.   Growth  is  measured  as  the  year-over-year  cha

### Section  3.   GDP  release  dates  follow  the  official  calendar.   Growth  is  measured  as  the  year-over-year  change.

### Nowcasting framework and data flow
- Annual nowcasts are constructed by aggregating quarterly forecasts, which are updated on a bimonthly basis.
- The modeling framework is a dynamic factor model tailored to Kenya’s economic conditions that:
  - Uses monthly indicators of activity in key Kenyan economic sectors.
  - Employs Kalman filtering techniques to produce early estimates of quarterly GDP growth.
  - Decomposes each data release into a predictable part and a news component to show how incoming information shapes nowcast updates.
- CBK = Forecasts from the Central Bank of Kenya; WEO = Forecasts from the IMF World Economic Outlook.

### Empirical context and data quality
- Kenya has been publishing quarterly GDP since 2009.
- The reporting delay typically exceeds three months after the end of the quarter, complicating timely policy implementation in a context where data are published infrequently and with significant delay.
- Nowcasting addresses the infrequent and delayed publication of activity measures by producing continuous near-term GDP growth estimates as new macroeconomic data arrive.

### Main findings and model performance
- The single-factor (common component) framework, well established for advanced economies (AEs), can be meaningfully extended to a low-income country (LIC) context such as Kenya.
- The nowcasting model shows strong and robust performance:
  - Both quarterly and annual GDP predictions from the nowcasting framework perform well out-of-sample compared to alternative forecasts by the CBK and the IMF.
- Estimation results identify specific data releases that have been key for nowcast updates since 2024:
  - Electricity production
  - Vehicle production
  - Digital money
  - Exports of goods
  - Imports of goods

### Policy relevance and practical implications
- The model offers a practical tool to continuously update near-term GDP growth predictions, informing timely stabilization policies and helping calibrate development policies with sound data-driven insights.
- The framework’s ability to decompose news versus predictable components helps policymakers understand which incoming data drive revisions and why.
- The approach is flexible and can seamlessly include new predictors as the set of high-frequency variables and non-traditional indicators grows, paving the way for applying this nowcasting approach to other LICs with infrequent or annual GDP series.

*Source: wpiea2026032-source-pdf - Section  3.   GDP  release  dates  follow  the  official  calendar.   Growth  is  measured  as  the  year-over-year  change.*

### 237. Elsevier.

### 237. Elsevier.

### Major literature cited
- Bánbura, M., Giannone, D., and Reichlin, L. (2011). Nowcasting. In Clements, M. P. and Hendry, D. F., editors, The Oxford Handbook of Economic Forecasting, pages 193–224. Oxford University Press.
- Barigozzi, M. and Luciani, M. (2024). Quasi maximum likelihood estimation and inference of large approximate dynamic factor models via the EM algorithm. Finance and Economics Discussion Series 2024-086. Washington: Board of Governors of the Federal Reserve System.
- Additional referenced works include methodological and applied contributions on nowcasting, dynamic factor models, big data in macroeconomics, payment-system data, mobile money, and country-specific nowcasting exercises (selected authors: Bokan, Burns & Mitchell, Caruso, Cascaldi-Garcia, Cerra & Saxena, Chetty et al., Dahlhaus et al., D’Amuri & Marcucci, Doz & Fuleky, Doz et al., Giannone et al., Ley & Misch, Luciani, Mishra et al., Modugno, Stock & Watson, Suri et al., Varian, Watson & Engle, Yao et al.).

### Annex A — Time series of selected economic indicators: data definitions, timing, units, and notable datapoints
- Stanbic Bank Kenya PMI
  - Series initiated in January 2014.
  - Constructed from five components: new orders, production, employment, supplier deliveries, inventories.
  - Released monthly, within the first 5 days of the month for the previous month.
  - Enters the model at levels.
  - Data updated on the 7th of each month.
- Diaspora Remittances
  - Released by the Central Bank of Kenya (CBK) on the 11th day of each month for the preceding month.
  - Presented in millions of USD and seasonally adjusted.
  - In 2024, remittances surged by 18 percent to US$4.9 billion.
  - Anticipated to contribute an average of 3.5 percent to GDP from 2025 to 2029 (Economist Intelligence Unit, July 21st, 2025).
  - Enters the nowcasting model using y-o-y growth rates and updated on the 21th of each month.
- Exports and Imports of Goods
  - Collected and reported by the CBK within the first 41 days of each month for the previous month.
  - Presented in hundreds of millions of Kenyan Shillings (KES); not seasonally adjusted.
  - Follow IMTS definitions.
  - Incorporated into the model using monthly y-o-y growth rates.
  - Updated on the 21th day of the month for the previous two months.
- Exports of Coffee
  - Released by KNBS and CBK 41 days from the previous publication.
  - Reported in Tonnes; not seasonally adjusted; follow IMTS definitions.
  - Entered into the model using monthly y-o-y growth rates.
  - Updated on the 21th day of the month for the previous two months.
- Exports of Tea
  - Published by KNBS and CBK 41 days from the last publication.
  - Reported in Tonnes; not seasonally adjusted; follow IMTS definitions.
  - Included in the model using monthly y-o-y growth rates.
  - Updated on the 21th day of the month for the previous two months.
- Money Supply M2
  - Released by the CBK within 45 days of the previous publication; in the monthly Financial Statistics Bulletin.
  - Official release unit: KES Million.
  - Entered into the model using y-o-y growth rates.
  - Updated on the 7th day of the month for the previous two months.
- Electricity Production
  - Released by Kenya Power & Lighting Company (KPLC) and the KNBS 48 days following the previous publication.
  - Official release unit: million kWh.
  - Entered into the model using monthly y-o-y growth rates.
  - Data for January–April indicates significant increases; updates occur on the 21th of each month for the previous two months.
- Visitor Arrivals
  - Published by Kenya Tourism Board and KNBS within 48 days from the previous publication.
  - Key source markets: USA, UK, India, Tanzania, Uganda.
  - Inflows from international tourism exceeded pre-coronavirus levels in 2023; visitor arrivals were flat in the first quarter, with a 9.7% year-on-year increase in April.
  - Enters the model at level; updates on the 21th of each month for the past two months.
- Vehicle Production
  - Released by the KNBS 48 days after the previous release.
  - Incorporated into the model using y-o-y growth rates.
  - Updates occur on the 21st of each month for the previous two months.
  - Data for January–April indicates strong increases in vehicle production.
- Mobile Payments (Total agent cash in cash out)
  - Compiled by the CBK from digital payment platforms and published until February 2025; most recent months (March to May 2025) released with a 17-day delay in KNBS’ May 2025 report (published late July 2025).
  - Updated on the 21st of each month to account for corrections and checks.
  - Total agent cash in cash out:
    - Fell by 21.8% y-o-y to 636.21 billion Kenya Shillings in February 2025.
    - Fell by 1.2% y-o-y to 713.25 billion Kenya Shillings in May 2025.
  - Number of transactions increased even as transaction value fell—suggesting a shift toward low-value payments in H1 2025.
  - World Bank Findex: 82.3% of adults engaged with mobile money accounts in 2024; rural adoption at 77%.
  - Sector experienced a sharp decline in March–April 2020, followed by a robust rebound surpassing pre-pandemic levels; policy measures included fee waivers, raised wallet and transaction limits, and promotion of digital payments.
  - Mobile money services expanded into credit, savings, bill payments; supported e-commerce and remote work adoption.

### Section B — Bridging the frequency gap with factors: aggregation formula and state-space expression
- Relationship between quarterly y-o-y GDP growth y^q_{t,gdp} and monthly y-o-y GDP growth y^m_{t,gdp}:
  - y^q_{t,gdp} = Y^q_{t,gdp} − Y^q_{t−12,gdp} = (1 − L^{12})Y^q_{t,gdp} ≈ (1 − L^{12})(1 + L + L^2)Y^m_{t,gdp} = (1 + L + L^2)(1 − L^{12})Y^m_{t,gdp} = (1 + L + L^2)y^m_{t,gdp} = y^m_{t,gdp} + y^m_{t−1,gdp} + y^m_{t−2,gdp}, (13)
  - Quarterly GDP growth re-expressed:
    - y^q_{t,gdp} = λ_gdp(f_t + f_{t−1} + f_{t−2}) + ε_{t,gdp} + ε_{t−1,gdp} + ε_{t−2,gdp}, (14)
  - State-space form (variables and loading structure shown in Equation 15), where Λ_m is an ((M−1)×1) vector of factor loadings for monthly predictors, 0 is an ((M−1)×1) vector of zeros, and I_m is an ((M−1)×1) vector of ones. (See Equation 15 for the stacked representation.)

### Section C — Details on the expectation-maximization (EM) algorithm for ragged-edge datasets
- M-step re-estimation formulas in the (ι + 1)th iteration:
  - ˆΛ^{(ι+1)} = [sum_{t=1}^{T_υ} E_{Ψ^{(ι)}}(y_t F'_t | Ω_υ)] [sum_{t=1}^{T_υ} E_{Ψ^{(ι)}}(F_t F'_t | Ω_υ)]^{−1}, (16)
  - ˆΓ^{(ι+1)} = [sum_{t=1}^{T_υ} E_{Ψ^{(ι)}}(F_t F'_{t−1} | Ω_υ)] [sum_{t=1}^{T_υ} E_{Ψ^{(ι)}}(F_{t−1} F'_{t−1} | Ω_υ)]^{−1}, (17)
  - ˆΘ^{(ι+1)} = [sum_{t=1}^{T_υ} E_{Ψ^{(ι)}}(y_t y'_{t−1} | Ω_υ) − ˆΛ^{(ι+1)} sum_{t=1}^{T_υ} E_{Ψ^{(ι)}}(F_t y'_{t−1} | Ω_υ)] × [sum_{t=1}^{T_υ} E_{Ψ^{(ι)}}(y_{t−1} y'_{t−1} | Ω_υ) − ˆΛ^{(ι+1)} sum_{t=1}^{T_υ} E_{Ψ^{(ι)}}(F_{t−1} y'_{t−1} | Ω_υ)]^{−1}, (18)
  - ˆΣ^{(ι+1)} = diag{ T^{−1} sum_{t=1}^{T_υ} E_{Ψ^{(ι)}}(y_t y'_t | Ω_υ) − ˆΛ^{(ι+1)} T^{−1} sum_{t=1}^{T_υ} E_{Ψ^{(ι)}}(F_t y'_t | Ω_υ) }, (19)
  - ˆΞ^{(ι+1)} = T^{−1} sum_{t=1}^{T_υ} E_{Ψ^{(ι)}}(F_t F'_t | Ω_υ) − ˆΓ^{(ι+1)} T^{−1} sum_{t=1}^{T_υ} E_{Ψ^{(ι)}}(F_{t−1} F'_t | Ω_υ). (20)
- Convergence criterion: increase in likelihood between consecutive iterations falls below an arbitrarily small threshold.
- Handling missing observations in y_t (ragged-edge):
  - Represent y_t = (I_{M×M} − S_t) y_t + S_t y_t, where S_t is a diagonal selection matrix with ones for non-missing observations and zeros otherwise. (22)
  - Modified EM expressions for ragged-edge datasets:
    - vec(ˆΛ^{(ι+1)}) = [sum_{t=1}^{T_υ} E_{Ψ^{(ι)}}(F_t F'_t | Ω_υ) ⊗ S_t]^{−1} vec{sum_{t=1}^{T_υ} S_t y_t E_{Ψ^{(ι)}}(F'_t | Ω_υ)}, (23)
    - ˆΣ^{(ι+1)} = diag{ T^{−1} sum_{t=1}^{T_υ} [ S_t y_t y'_t S'_t − S_t y_t E_{Ψ^{(ι)}}(F'_t | Ω_υ) ˆΛ^{(ι+1)'} S'_t − S_t ˆΛ^{(ι+1)} E_{Ψ^{(ι)}}(F_t | Ω_υ) y'_t S'_t + S_t ˆΛ^{(ι+1)} E_{Ψ^{(ι)}}(F_t F'_t | Ω_υ) ˆΛ^{(ι+1)'} S'_t + (I_{M×M} − S_t) ˆΣ^{(ι)} (I_{M×M} − S_t) ] }, (24)

### Figures and empirical diagnostics summary (selected highlights)
- News impacts (Figure D11)
  - Average absolute impacts of macroeconomic variables on nowcasts computed in real time and averaged over 2021 Q1 to 2025 Q4.
  - Variables include PMI, REM, ARR, ELEC, VEH, M2, EXP, IMP, COF, TEA, MCASH, GDP.
  - Panels show comparisons for 1-factor and 3-factor models across bimonthly updates prior to the first official GDP release.
- Nowcast errors (Figure E12)
  - Forecast errors computed in out-of-sample exercise from 2021Q4 to 2025Q3 using the nowcasting model (Section 3.1).
  - Dots represent revision errors for all 14 quarters; x-axis denotes weeks until GDP publication (24 to 2 weeks).
  - Vertical black dotted line separates nowcast period (24 to 14 weeks before GDP publication) from backcast period (12 to 2 weeks).
- Real-time predictions and news decomposition (Figures F13–H20, G15–G17)
  - Quarterly nowcasts and contributions of predictors shown for 2022 Q1–2025 Q4 across 1-factor, 2-factor, and 3-factor models.
  - Black solid line: quarterly nowcasts of GDP growth; red hollow diamond: published actual GDP growth.
  - Black triangle: change in two consecutive quarterly nowcasts; bars: contribution of each predictor (PMI, REM, ARR, ELEC, VEH, M2, EXP, IMP, COF, TEA, MCASH) to nowcast updates.
- Annual nowcasts and backcasts (Figure I21)
  - Nowcasting and backcasting annualized quarterly GDP growth shown for backcasts of 2022 and 2023, and nowcasts for 2024 and 2025 using the 1-factor model.
  - Solid line depicts evolution of annualized quarterly GDP growth backcasts using the model.

*Italicized source: wpiea2026032-source-pdf - 237. Elsevier.*

### Section  3.   GDP  release  dates  follow  the  official  calendar.   Growth  is  measured  as  the  year-over-year  cha

### Section 3. GDP release dates follow the official calendar. Growth is measured as the year-over-year change.

### Methodology and Timing
- Growth is measured as the year-over-year change.
- Annual nowcasts are constructed by aggregating quarterly forecasts, which are updated on a bimonthly basis.
- The solid line in Figure I22 depicts the evolution of annualized quarterly GDP growth backcasts using the model described in this section.

### Data sources and forecast comparisons
- CBK = Forecasts from the Central Bank of Kenya; WEO = Forecasts from the IMF World Economic Outlook.
- CBK forecasts from 2025 Q3 and Q4 are not publicly available.

### Nowcasting and backcasting results (Figure I22)
- Figure I22 presents model backcasts and nowcasts of annual GDP growth (3-factor model) with the vertical axis labeled "Annual GDP growth in %" showing tick marks at 4, 4.5, 5, 5.5, 6, and 6.5.
- Panels in Figure I22:
  - (A) Backcast for 2022: timeline from 2022-01 to 2023-10 showing Annualized, Nowcast, WEO, CBK, and Realized series.
  - (B) Backcast for 2023: timeline from 2023-01 to 2024-10 showing Annualized, Nowcast, WEO, CBK, and Realized series.
  - (C) Nowcast for 2024: timeline from 2024-01 to 2025-10 showing Annualized, Nowcast, WEO, CBK, and Realized series.
  - (D) Nowcast for 2025: timeline from 2025-01 to 2026-10 showing Annualized, Nowcast, WEO, CBK, and Realized series.

### Key statistics and timeline details
- Axis tick values explicitly shown in the figure: 4; 4.5; 5; 5.5; 6; 6.5 (Annual GDP growth in %).
- Figure time ranges by panel:
  - Panel (A): 2022-01, 2022-04, 2022-07, 2022-10, 2023-01, 2023-04, 2023-07, 2023-10.
  - Panel (B): 2023-01, 2023-04, 2023-07, 2023-10, 2024-01, 2024-04, 2024-07, 2024-10.
  - Panel (C): 2024-01, 2024-04, 2024-07, 2024-10, 2025-01, 2025-04, 2025-07, 2025-10.
  - Panel (D): 2025-01, 2025-04, 2025-07, 2025-10, 2026-01, 2026-04, 2026-07, 2026-10.

*Nowcasting GDP Growth for Kenya — Working Paper No. WP/2026/032*

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_Source: https://www.imf.org/-/media/files/publications/wp/2026/english/wpiea2026032-source-pdf.pdf_
