diff --git a/docs/api.md b/docs/api.md
index 9b65ffa..1613894 100644
--- a/docs/api.md
+++ b/docs/api.md
@@ -758,3 +758,30 @@ new Module48(config?: Module48Config)
 * `clearCache(): void` - Clears the internal lookup cache and metrics.
 * `getPerformanceMetrics(): Module48Metrics` - Returns `totalProcessed`, `cacheHits`, `cacheMisses`, `averageExecutionTimeMs`, and `measuredSpeedupPercent` (a real measurement derived from this instance's own accumulated hit/miss timings, `null` until both have occurred at least once — not a fixed assumed percentage).
 
+---
+
+## `Module49` (Feature #49)
+
+Streaming analytics and evaluation engine implementing Feature #49. Built with memoized cache algorithms and pre-allocated buffer iteration for fast stream batch evaluation.
+
+### Constructor
+
+```typescript
+new Module49(config?: Module49Config)
+```
+
+| Option | Type | Default | Notes |
+|--------|------|---------|-------|
+| `cacheSize` | `number` | `1000` | Max entries in memoization cache |
+| `enableOptimization` | `boolean` | `true` | Enables memoized lookup caching |
+| `batchChunkSize` | `number` | `50` | Stream chunk size for batch processing |
+
+### Methods
+
+* `processSingleItem(item: StreamBatchItem49): Module49Result` - Evaluates a stream's withdrawable balance and progress.
+* `processStreamBatch(items: StreamBatchItem49[]): Module49Result[]` - Processes batch array of streams in chunks.
+* `computeOptimizedYield(ratePerSecond: bigint, durationSecs: number): bigint` - Fast BigInt yield calculation.
+* `clearCache(): void` - Clears the internal lookup cache and metrics.
+* `getPerformanceMetrics(): Module49Metrics` - Returns real-time metrics (`totalProcessed`, `cacheHits`, `cacheMisses`, `hitRate`, `averageExecutionTimeMs`).
+
+
diff --git a/src/index.ts b/src/index.ts
index ba74de3..c3d6898 100644
--- a/src/index.ts
+++ b/src/index.ts
@@ -83,3 +83,12 @@ export type {
   Module48Result,
   Module48Metrics,
 } from './module48.js';
+
+export { Module49 } from './module49.js';
+export type {
+  Module49Config,
+  StreamBatchItem49,
+  Module49Result,
+  Module49Metrics,
+} from './module49.js';
+
diff --git a/src/module49.ts b/src/module49.ts
new file mode 100644
index 0000000..5e0fd03
--- /dev/null
+++ b/src/module49.ts
@@ -0,0 +1,170 @@
+import type { StreamInfo } from './types/index.js';
+import { withdrawableLocal } from './utils.js';
+
+export interface Module49Config {
+  /** Maximum number of calculated results to keep in the fast lookup cache */
+  cacheSize?: number;
+  /** Enable performance optimization via memoization and pre-allocated buffer processing */
+  enableOptimization?: boolean;
+  /** Preferred chunk size for batch processing stream items */
+  batchChunkSize?: number;
+}
+
+export interface StreamBatchItem49 {
+  id: string;
+  stream: StreamInfo;
+  timestamp?: number;
+}
+
+export interface Module49Result {
+  id: string;
+  withdrawable: bigint;
+  progress: number;
+  isCached: boolean;
+  computedAt: number;
+}
+
+export interface Module49Metrics {
+  totalProcessed: number;
+  cacheHits: number;
+  cacheMisses: number;
+  hitRate: number;
+  averageExecutionTimeMs: number;
+}
+
+/**
+ * Module 49: High-Performance SDK Streaming Analytics Engine
+ *
+ * Implements Feature #49 with memoized calculation algorithms for batch stream evaluation.
+ */
+export class Module49 {
+  private readonly cacheSize: number;
+  private readonly enableOptimization: boolean;
+  private readonly batchChunkSize: number;
+
+  private cache = new Map<string, { withdrawable: bigint; progress: number; computedAt: number }>();
+  private totalProcessed = 0;
+  private cacheHits = 0;
+  private cacheMisses = 0;
+  private totalExecutionTimeMs = 0;
+
+  constructor(config: Module49Config = {}) {
+    this.cacheSize = config.cacheSize ?? 1000;
+    this.enableOptimization = config.enableOptimization ?? true;
+    this.batchChunkSize = config.batchChunkSize ?? 50;
+  }
+
+  /**
+   * Process a list of streams using optimized batch evaluation algorithms.
+   */
+  public processStreamBatch(items: StreamBatchItem49[]): Module49Result[] {
+    const startTime = performance.now();
+    const results: Module49Result[] = new Array(items.length);
+
+    for (let i = 0; i < items.length; i += this.batchChunkSize) {
+      const chunkEnd = Math.min(i + this.batchChunkSize, items.length);
+      for (let j = i; j < chunkEnd; j++) {
+        const item = items[j];
+        if (!item) continue;
+
+        results[j] = this.processSingleItem(item);
+      }
+    }
+
+    const elapsed = performance.now() - startTime;
+    this.totalExecutionTimeMs += elapsed;
+    this.totalProcessed += items.length;
+
+    return results;
+  }
+
+  /**
+   * Evaluate a single stream item with fast-path cache lookup.
+   */
+  public processSingleItem(item: StreamBatchItem49): Module49Result {
+    const nowSec = item.timestamp ?? Math.floor(Date.now() / 1000);
+    const cacheKey = `${item.id}_${item.stream.withdrawn.toString()}_${item.stream.paused ? 1 : 0}_${nowSec}`;
+
+    if (this.enableOptimization && this.cache.has(cacheKey)) {
+      this.cacheHits++;
+      const cached = this.cache.get(cacheKey)!;
+      return {
+        id: item.id,
+        withdrawable: cached.withdrawable,
+        progress: cached.progress,
+        isCached: true,
+        computedAt: cached.computedAt,
+      };
+    }
+
+    this.cacheMisses++;
+    const withdrawable = withdrawableLocal(item.stream, nowSec);
+
+    let progress = 0;
+    const { startTime, endTime } = item.stream;
+    if (nowSec >= startTime) {
+      if (endTime === 0) {
+        progress = 0.5; // open-ended active
+      } else if (nowSec >= endTime) {
+        progress = 1.0;
+      } else {
+        progress = (nowSec - startTime) / (endTime - startTime);
+      }
+    }
+
+    const computedAt = nowSec;
+
+    if (this.enableOptimization) {
+      if (this.cache.size >= this.cacheSize) {
+        const firstKey = this.cache.keys().next().value;
+        if (firstKey !== undefined) {
+          this.cache.delete(firstKey);
+        }
+      }
+      this.cache.set(cacheKey, { withdrawable, progress, computedAt });
+    }
+
+    return {
+      id: item.id,
+      withdrawable,
+      progress,
+      isCached: false,
+      computedAt,
+    };
+  }
+
+  /**
+   * High-performance fast calculation of stream yields over arbitrary durations.
+   */
+  public computeOptimizedYield(ratePerSecond: bigint, durationSecs: number): bigint {
+    if (durationSecs <= 0 || ratePerSecond <= 0n) return 0n;
+    return ratePerSecond * BigInt(durationSecs);
+  }
+
+  /**
+   * Reset performance cache and internal state.
+   */
+  public clearCache(): void {
+    this.cache.clear();
+    this.cacheHits = 0;
+    this.cacheMisses = 0;
+    this.totalProcessed = 0;
+    this.totalExecutionTimeMs = 0;
+  }
+
+  /**
+   * Retrieve performance metrics including hit rate and raw lookup counters.
+   */
+  public getPerformanceMetrics(): Module49Metrics {
+    const totalRequests = this.cacheHits + this.cacheMisses;
+    const hitRate = totalRequests > 0 ? this.cacheHits / totalRequests : 0;
+
+    return {
+      totalProcessed: this.totalProcessed,
+      cacheHits: this.cacheHits,
+      cacheMisses: this.cacheMisses,
+      hitRate: this.enableOptimization ? hitRate : 0,
+      averageExecutionTimeMs: this.totalProcessed > 0 ? this.totalExecutionTimeMs / this.totalProcessed : 0,
+    };
+  }
+}
diff --git a/src/tests/module49.test.ts b/src/tests/module49.test.ts
new file mode 100644
index 0000000..7af800d
--- /dev/null
+++ b/src/tests/module49.test.ts
@@ -0,0 +1,179 @@
+import { describe, it, expect, beforeEach } from 'vitest';
+import { Module49 } from '../module49.js';
+import type { StreamInfo } from '../types/index.js';
+
+describe('Module49 (SDK Feature #49)', () => {
+  let module49: Module49;
+  const now = 1000;
+
+  const mockStream: StreamInfo = {
+    id: 1n,
+    sender: 'GBRPYHIL2CI3FNQ4BXLFMNDLFJUNPU2HY3ZMFXYCZLYC3ZCHB2D4P3CF',
+    recipient: 'GA7QYNF7SOWQ3GLR2BGMZEHXAVIRZA4KVWLTJJFC7MGXUA74P7UJVSGZ',
+    token: 'native',
+    depositAmount: 1000000000n,
+    ratePerSecond: 100n,
+    startTime: 500,
+    endTime: 1500,
+    withdrawn: 0n,
+    paused: false,
+    pausedAt: 0,
+    cancelled: false,
+    clawbackEnabled: false,
+  };
+
+  beforeEach(() => {
+    module49 = new Module49({ cacheSize: 10, batchChunkSize: 5 });
+  });
+
+  describe('Constructor & Configuration', () => {
+    it('initializes with default options', () => {
+      const defaultMod = new Module49();
+      const metrics = defaultMod.getPerformanceMetrics();
+      expect(metrics.totalProcessed).toBe(0);
+      expect(metrics.hitRate).toBe(0);
+    });
+
+    it('initializes with custom options', () => {
+      const customMod = new Module49({
+        cacheSize: 50,
+        enableOptimization: false,
+        batchChunkSize: 10,
+      });
+      const metrics = customMod.getPerformanceMetrics();
+      expect(metrics.hitRate).toBe(0);
+    });
+  });
+
+  describe('processSingleItem', () => {
+    it('calculates withdrawable balance and progress for active stream', () => {
+      const item = { id: 'stream-1', stream: mockStream, timestamp: now };
+      const result = module49.processSingleItem(item);
+
+      expect(result.id).toBe('stream-1');
+      expect(result.withdrawable).toBe(50000n); // (1000 - 500) * 100
+      expect(result.progress).toBe(0.5); // (1000 - 500) / (1500 - 500)
+      expect(result.isCached).toBe(false);
+      expect(result.computedAt).toBe(now);
+    });
+
+    it('handles stream prior to start time', () => {
+      const item = { id: 'stream-future', stream: mockStream, timestamp: 400 };
+      const result = module49.processSingleItem(item);
+
+      expect(result.withdrawable).toBe(0n);
+      expect(result.progress).toBe(0);
+    });
+
+    it('handles completed stream after end time', () => {
+      const item = { id: 'stream-past', stream: mockStream, timestamp: 2000 };
+      const result = module49.processSingleItem(item);
+
+      expect(result.progress).toBe(1.0);
+    });
+
+    it('handles open-ended stream with no end time', () => {
+      const openStream: StreamInfo = { ...mockStream, endTime: 0 };
+      const item = { id: 'stream-open', stream: openStream, timestamp: now };
+      const result = module49.processSingleItem(item);
+
+      expect(result.progress).toBe(0.5);
+    });
+
+    it('uses system current time if timestamp is omitted', () => {
+      const item = { id: 'stream-now', stream: mockStream };
+      const result = module49.processSingleItem(item);
+      expect(result.computedAt).toBeGreaterThan(0);
+    });
+  });
+
+  describe('Optimization & Caching', () => {
+    it('serves cached results on duplicate evaluation requests', () => {
+      const item = { id: 'stream-1', stream: mockStream, timestamp: now };
+
+      const firstPass = module49.processSingleItem(item);
+      expect(firstPass.isCached).toBe(false);
+
+      const secondPass = module49.processSingleItem(item);
+      expect(secondPass.isCached).toBe(true);
+      expect(secondPass.withdrawable).toBe(firstPass.withdrawable);
+
+      const metrics = module49.getPerformanceMetrics();
+      expect(metrics.cacheHits).toBe(1);
+      expect(metrics.cacheMisses).toBe(1);
+      expect(metrics.hitRate).toBe(0.5);
+    });
+
+    it('evicts oldest cache item when cacheSize threshold is reached', () => {
+      const smallCacheMod = new Module49({ cacheSize: 2 });
+
+      smallCacheMod.processSingleItem({ id: 'item-1', stream: mockStream, timestamp: 1000 });
+      smallCacheMod.processSingleItem({ id: 'item-2', stream: mockStream, timestamp: 1001 });
+      smallCacheMod.processSingleItem({ id: 'item-3', stream: mockStream, timestamp: 1002 });
+
+      // item-1 should be evicted
+      const reQuery = smallCacheMod.processSingleItem({ id: 'item-1', stream: mockStream, timestamp: 1000 });
+      expect(reQuery.isCached).toBe(false);
+    });
+
+    it('bypasses cache when optimization is disabled', () => {
+      const unoptimizedMod = new Module49({ enableOptimization: false });
+      const item = { id: 'stream-1', stream: mockStream, timestamp: now };
+
+      unoptimizedMod.processSingleItem(item);
+      const secondPass = unoptimizedMod.processSingleItem(item);
+
+      expect(secondPass.isCached).toBe(false);
+      expect(unoptimizedMod.getPerformanceMetrics().hitRate).toBe(0);
+    });
+  });
+
+  describe('processStreamBatch', () => {
+    it('processes batch of stream items in chunked iterations', () => {
+      const batchItems = Array.from({ length: 12 }, (_, i) => ({
+        id: `stream-${i}`,
+        stream: { ...mockStream, id: BigInt(i) },
+        timestamp: now,
+      }));
+
+      const results = module49.processStreamBatch(batchItems);
+
+      expect(results).toHaveLength(12);
+      expect(results[0]?.id).toBe('stream-0');
+      expect(results[11]?.id).toBe('stream-11');
+
+      const metrics = module49.getPerformanceMetrics();
+      expect(metrics.totalProcessed).toBe(12);
+    });
+  });
+
+  describe('computeOptimizedYield', () => {
+    it('computes yield accurately with BigInt precision', () => {
+      const yieldResult = module49.computeOptimizedYield(100n, 3600);
+      expect(yieldResult).toBe(360000n);
+    });
+
+    it('returns 0n for non-positive input values', () => {
+      expect(module49.computeOptimizedYield(0n, 3600)).toBe(0n);
+      expect(module49.computeOptimizedYield(100n, 0)).toBe(0n);
+      expect(module49.computeOptimizedYield(100n, -10)).toBe(0n);
+    });
+  });
+
+  describe('clearCache & Metrics', () => {
+    it('resets cache state and performance counters', () => {
+      const item = { id: 'stream-1', stream: mockStream, timestamp: now };
+      module49.processSingleItem(item);
+      module49.processSingleItem(item);
+
+      expect(module49.getPerformanceMetrics().cacheHits).toBe(1);
+
+      module49.clearCache();
+
+      const freshMetrics = module49.getPerformanceMetrics();
+      expect(freshMetrics.cacheHits).toBe(0);
+      expect(freshMetrics.cacheMisses).toBe(0);
+      expect(freshMetrics.totalProcessed).toBe(0);
+    });
+  });
+});