四、請討論當美國聯邦儲備銀行實施貨幣寬鬆(quantity easing)政策後，會透過什麼流程及哪些經濟變數的變化影響美國的經濟。(15分)

2. If an initial amount A0 of money is invested at an interest rate γ compounded n times a year, the value of the investment after t years is . If we let n →∞, we refer to the continuous compounding of interest. Use L’Hospital’s Rule to show that if interest is compounded continuously, then the amount after n years is .(20%)