1 2025 - DUE 23 May 2025; 100% correct solutions and
explanations.
QUESTION 1
𝑺𝒕𝒆𝒑 𝟏: 𝑪𝒂𝒍𝒄𝒖𝒍𝒂𝒕𝒆 𝑾𝒆𝒊𝒈𝒉𝒕𝒆𝒅 𝑨𝒗𝒆𝒓𝒂𝒈𝒆 𝒇𝒐𝒓 𝑷𝒐𝒍𝒊𝒕𝒊𝒄𝒂𝒍 𝑹𝒊𝒔𝒌
𝑊𝑒 𝑢𝑠𝑒 𝑡ℎ𝑒 𝑓𝑜𝑟𝑚𝑢𝑙𝑎:
𝑊𝑒𝑖𝑔ℎ𝑡𝑒𝑑 𝐴𝑣𝑒𝑟𝑎𝑔𝑒
= ∑(𝑅𝑎𝑡𝑖𝑛𝑔
× 𝑊𝑒𝑖𝑔ℎ𝑡)∑𝑊𝑒𝑖𝑔ℎ𝑡𝑠\𝑡𝑒𝑥𝑡{𝑊𝑒𝑖𝑔ℎ𝑡𝑒𝑑 𝐴𝑣𝑒𝑟𝑎𝑔𝑒}
= \𝑓𝑟𝑎𝑐{\𝑠𝑢𝑚 (\𝑡𝑒𝑥𝑡{𝑅𝑎𝑡𝑖𝑛𝑔} \𝑡𝑖𝑚𝑒𝑠
\𝑡𝑒𝑥𝑡{𝑊𝑒𝑖𝑔ℎ𝑡})}{\𝑠𝑢𝑚
\𝑡𝑒𝑥𝑡{𝑊𝑒𝑖𝑔ℎ𝑡𝑠}}𝑊𝑒𝑖𝑔ℎ𝑡𝑒𝑑 𝐴𝑣𝑒𝑟𝑎𝑔𝑒
= ∑𝑊𝑒𝑖𝑔ℎ𝑡𝑠∑(𝑅𝑎𝑡𝑖𝑛𝑔 × 𝑊𝑒𝑖𝑔ℎ𝑡)
𝑃𝑜𝑙𝑖𝑡𝑖𝑐𝑎𝑙 𝑟𝑖𝑠𝑘 𝑓𝑎𝑐𝑡𝑜𝑟𝑠:
𝑭𝒂𝒄𝒕𝒐𝒓 𝑹𝒂𝒕𝒊𝒏𝒈 𝑾𝒆𝒊𝒈𝒉𝒕 (%)
𝐵𝑙𝑜𝑐𝑘𝑎𝑔𝑒 𝑜𝑓 𝑓𝑢𝑛𝑑 𝑡𝑟𝑎𝑛𝑠𝑓𝑒𝑟𝑠 7 65
𝐵𝑢𝑟𝑒𝑎𝑢𝑐𝑟𝑎𝑐𝑦 3 55
, 𝑇𝑜𝑡𝑎𝑙 𝑃𝑜𝑙𝑖𝑡𝑖𝑐𝑎𝑙 𝑊𝑒𝑖𝑔ℎ𝑡𝑒𝑑 𝑆𝑐𝑜𝑟𝑒 = (7 × 0.65) + (3 × 0.55)
= 4.55 + 1.65
= 6.20\𝑡𝑒𝑥𝑡{𝑇𝑜𝑡𝑎𝑙 𝑃𝑜𝑙𝑖𝑡𝑖𝑐𝑎𝑙 𝑊𝑒𝑖𝑔ℎ𝑡𝑒𝑑 𝑆𝑐𝑜𝑟𝑒}
= (7 \𝑡𝑖𝑚𝑒𝑠 0.65) + (3 \𝑡𝑖𝑚𝑒𝑠 0.55)
= 4.55 + 1.65
= 6.20𝑇𝑜𝑡𝑎𝑙 𝑃𝑜𝑙𝑖𝑡𝑖𝑐𝑎𝑙 𝑊𝑒𝑖𝑔ℎ𝑡𝑒𝑑 𝑆𝑐𝑜𝑟𝑒
= (7 × 0.65) + (3 × 0.55) = 4.55 + 1.65
= 6.20 𝑇𝑜𝑡𝑎𝑙 𝑃𝑜𝑙𝑖𝑡𝑖𝑐𝑎𝑙 𝑊𝑒𝑖𝑔ℎ𝑡𝑠 = 0.65 + 0.55
= 1.20\𝑡𝑒𝑥𝑡{𝑇𝑜𝑡𝑎𝑙 𝑃𝑜𝑙𝑖𝑡𝑖𝑐𝑎𝑙 𝑊𝑒𝑖𝑔ℎ𝑡𝑠}
= 0.65 + 0.55 = 1.20𝑇𝑜𝑡𝑎𝑙 𝑃𝑜𝑙𝑖𝑡𝑖𝑐𝑎𝑙 𝑊𝑒𝑖𝑔ℎ𝑡𝑠
= 0.65 + 0.55 = 1.20 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 𝑃𝑜𝑙𝑖𝑡𝑖𝑐𝑎𝑙 𝑅𝑖𝑠𝑘
= 6.201.20 = 5.17\𝑡𝑒𝑥𝑡{𝐴𝑣𝑒𝑟𝑎𝑔𝑒 𝑃𝑜𝑙𝑖𝑡𝑖𝑐𝑎𝑙 𝑅𝑖𝑠𝑘}
= \𝑓𝑟𝑎𝑐{6.20}{1.20}
= 5.17𝐴𝑣𝑒𝑟𝑎𝑔𝑒 𝑃𝑜𝑙𝑖𝑡𝑖𝑐𝑎𝑙 𝑅𝑖𝑠𝑘 = 1.206.20 = 5.17
🔹 𝑺𝒕𝒆𝒑 𝟐: 𝑪𝒂𝒍𝒄𝒖𝒍𝒂𝒕𝒆 𝑾𝒆𝒊𝒈𝒉𝒕𝒆𝒅 𝑨𝒗𝒆𝒓𝒂𝒈𝒆 𝒇𝒐𝒓 𝑭𝒊𝒏𝒂𝒏𝒄𝒊𝒂𝒍 𝑹𝒊𝒔𝒌
𝐹𝑖𝑛𝑎𝑛𝑐𝑖𝑎𝑙 𝑟𝑖𝑠𝑘 𝑓𝑎𝑐𝑡𝑜𝑟𝑠:
𝑭𝒂𝒄𝒕𝒐𝒓 𝑹𝒂𝒕𝒊𝒏𝒈 𝑾𝒆𝒊𝒈𝒉𝒕 (%)
𝐼𝑛𝑡𝑒𝑟𝑒𝑠𝑡 𝑟𝑎𝑡𝑒 5 30
𝐼𝑛𝑓𝑙𝑎𝑡𝑖𝑜𝑛 6 20
𝐸𝑥𝑐ℎ𝑎𝑛𝑔𝑒 𝑟𝑎𝑡𝑒 5 11
𝐶𝑜𝑚𝑝𝑒𝑡𝑖𝑡𝑖𝑜𝑛 4 35
𝐺𝑟𝑜𝑤𝑡ℎ 7 30