financial management Financial Management (Fall 2017) Exam 3 Homework Take Home
ID: 2793189 • Letter: F
Question
financial management
Financial Management (Fall 2017) Exam 3 Homework Take Home Quiz Problems Due: November 29th, before Test 3 To get credit, show your work including timelines (where applicable) and formulas used Today is a day in December 2525 and a bond with annual coupon rate of 3.70% just yesterday paid a coupon. The bond matures in December 2532 and its quoted bond price is 89.09 percent of par (semiannual compounding). Find the current yield and capital gains yield. a. the current yield equals 4.15% and capital gains yield is 1.46% the current yield equals 5.38% and capital gains yield is 1.46% c. the current yield equals 4.15% and capital gains yield is 1.77% d. the current yield equals 3.54% and capital gains yield is 1·18% e, the current yield equals 5.38% and capital gains yield is 1.18%Explanation / Answer
7 years left to maturity
Let face value be 1000
Price=89.09%*1000=890.9
Coupon semi-annual=3.7%*1000/2=18.5
Annual coupons=18.5*2=37
Current yield=annual coupons/price=37/890.9=4.1531%
price=18.5/(1+y/2)+18.5/(1+y/2)^2..........18.5/(1+y/2)^14+1000/(1+y/2)^14
=>890.9=18.5/(1+y/2)+18.5/(1+y/2)^2..........18.5/(1+y/2)^14+1000/(1+y/2)^14
=>y=5.6058%
or YTM=5.6058%
Hence, capital gains yield=ytm-current yield=5.61%-4.15%=1.46%
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