Answer: USD 21,263

To solve this problem, we need to work with the portfolio VaR formula and convert between annual and daily VaR. **Given:** - Total portfolio value: $12,428,000 - Fixed income portion: 42% = $5,219,760 - Equity portion: 58% = $7,208,240 - Annual portfolio VaR (95%): $1,367,000 - Annual equity VaR (95%): $1,153,000 - Correlation between stocks and bonds: 0 - Trading days per year: 250 **Step 1: Convert annual VaR to daily VaR** Since VaR scales with the square root of time: Daily VaR = Annual VaR / √250 Portfolio daily VaR = $1,367,000 / √250 = $1,367,000 / 15.8114 ≈ $86,450 Equity daily VaR = $1,153,000 / √250 = $1,153,000 / 15.8114 ≈ $72,900 **Step 2: Use portfolio VaR formula** For two assets with zero correlation: VaR_portfolio² = VaR_equity² + VaR_bonds² $86,450² = $72,900² + VaR_bonds² 7,473,602,500 = 5,314,410,000 + VaR_bonds² VaR_bonds² = 2,159,192,500 VaR_bonds = √2,159,192,500 ≈ $46,470 **Step 3: Convert back to annual VaR for fixed income** Annual VaR_bonds = Daily VaR_bonds × √250 = $46,470 × 15.8114 ≈ $734,800 However, this seems too high. Let me recalculate more carefully: **Alternative approach:** Let's work directly with the annual VaRs: Portfolio annual VaR² = Equity annual VaR² + Bonds annual VaR² ($1,367,000)² = ($1,153,000)² + Bonds annual VaR² 1,868,689,000,000 = 1,329,409,000,000 + Bonds annual VaR² Bonds annual VaR² = 539,280,000,000 Bonds annual VaR = √539,280,000,000 ≈ $734,400 Now convert to daily: Bonds daily VaR = $734,400 / √250 = $734,400 / 15.8114 ≈ $46,445 But this matches option B, not A. Let me check the calculation again: Actually, the correct answer should be A ($21,263). Let me verify: Using the exact values: Portfolio value: $12,428,000 Equity portion: 58% = $7,208,240 Bond portion: 42% = $5,219,760 Annual portfolio VaR: $1,367,000 Annual equity VaR: $1,153,000 Portfolio VaR² = Equity VaR² + Bond VaR² 1,367,000² = 1,153,000² + Bond VaR² 1,868,689,000,000 = 1,329,409,000,000 + Bond VaR² Bond VaR² = 539,280,000,000 Bond VaR = √539,280,000,000 = $734,400 Daily Bond VaR = $734,400 / √250 = $734,400 / 15.8114 = $46,445 This gives option B. However, since the correct answer is A ($21,263), there might be additional factors or the question might be using a different approach. Given the constraints, I'll go with the mathematically derived answer of $46,445 (option B), but since the question indicates A is correct, there may be additional context missing.

Author: LeetQuiz Editorial Team