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110年 - 110 國立高雄科技大學_碩士班招生考試_機械工程系:工程數學(甲、乙、丙組)#103884
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(5)證明三向量加=<1,2,3>,b=<4,5,6>,c=<7,8,9>為線性獨立或線性相依。(20%)。
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16. Figure 1 plots changes in prices (in the vertical axis) in respond to changes in the yield to maturity (the horizontal axis) for four coupon bonds with the following properties:i. maturity in 5 years, coupon rate 3%, and yield to maturity 1 5%;ii. maturity in 15 years, coupon rate 3%, and yield to maturity 15%;iii. maturity in 15 years, coupon rate 3%, and yield to maturity 9%; iv. maturity in 5 years, coupon rate 18%, and yield to maturity 15%. Please identify which properties are with Bonds A, B, C, and D in the graph. Note that scores are given only if you offer reasons alongside with the correct answer. (10 points)
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(i)To estimate the cost of capital, you survey the capital market and find that the average beta is 2 for all-equity firm in the similar industry as your new business. Under the risk-free rate of 1% and the market-portfolio return of 7%, please compute the cost of capital for your business if you want to finance the project by equity only. (3 points)
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