四、在自來水處理中，沉澱池可用於去除混凝後水中的顆粒物質。沉澱池以溢流率（overflow rate）為設計參數。已知一矩形沉澱池的長（L） 、寬（W） 、 高（H） ，混凝後的出流水進入沉澱池的流量為 Q，且出流水中顆粒物質的沉降速度為 U_T。請說明以溢流率為沉澱池設計的原理及其假設。 （20 分）

二、英譯中：（20 分） Compassion is often difficult because another person’s pain can feel like a door opening onto our own. To protect ourselves, we may build walls of indifference or judge others from a safe distance. Fear, prejudice, and exhaustion can further cloud our ability to recognize suffering, especially when the person in need seems unfamiliar or undeserving. Compassion also demands more than sympathy; it asks us to step beyond the borders of the self and accept emotional responsibility. In a world crowded with constant crises, the heart may grow weary and close its windows. Yet, true compassion begins when we resist that instinct and remain open. 

三、中譯英：（20 分） 隨著社會高齡化與生育率降低的趨勢日益明顯，許多長者獨自生活，容 易感到寂寞，也缺乏日常照顧。同時，青年人常因房價與租金高漲而承受沉重壓力，所以青銀共居正好為兩代人搭起一座橋梁：長者提供居住 空間與人生智慧，青年則帶來陪伴、活力和生活協助。透過共享家務、 彼此關懷，雙方不僅能減輕經濟負擔，也能跨越世代隔閡、增進理解。 這種生活方式讓長者老有所依，使青年得到支持，兩代人相互照亮，可 謂相得益彰。

四、英文作文： （30 分） September 22 is World Car-Free Day. This year, passengers could travel free of charge on all regular bus services in Taipei and New Taipei City. The initiative was intended to raise public awareness of alternative forms of transportation and encourage people to adopt more environmentally friendly ways of commuting. Around the world, people also observe “No Diet Day” on May 6 and “Buy Nothing Day” in late November. If you had the opportunity to establish a similar day like these, what would it be? Explain the purpose of your initiative, how it would be carried out, and what benefits or challenges it might bring. Write an essay of approximately 300 words. Use relevant reasons and examples to support your ideas.

(一)請說明殖利率之意涵。（5 分）

(二)請以債券市場供需模型說明債券價格持續走低的潛在可能原因。 （20 分）

二、股票市場表現常是當日重要新聞的報導，請列數學公式並說明一般化股利評價模型之意涵。 （25 分）

三、貨幣需求面變動提供制定貨幣政策重要資訊，請以「貨幣數量學說」說明貨幣需求的決定因素。（25 分）

(一)傳統利率管道

(二)淨出口匯率管道

(三)托賓 q 理論管道

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