Assume you can earn 8.1% per year on your investments. a. If you invest $160,000 for retirement at age 30, how much will you have 35 years later for retirement? b. If you wait until age 40 to invest the $160,000, how much will you have 25 years later for retirement? c. Why is the difference so large? a. If you invest $160,000 for retirement at age 30, how much will you have 35 years later for retirement? The future value is $ (Round to the nearest dollar.) b. If you wait until age 40 to invest the $160,000, how much will you have 25 years later for retirement? The future value is $ . (Round to the nearest dollar.) c. Why is the difference so large? (Select from the drop-down menu.) the time of investment The difference is large because the compounding effect is accentuated the shorter longer The yield to maturity of a $1,000 bond with a 7.5% coupon rate, semi-annual coupons, and two years to maturity is 3.8% APR. compounded semi-annually. What must its price be? The price of the bond is $(Round to the nearest cont.)