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Finance Mgmt

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2. Assume that a bond will make payments every six months as shown on the following timeline (using six-month periods): (A) What is the maturity of the bond (in years)? The maturity is 10 years. (B) What is the coupon rate (in percent)? 20/1000 x 2 = 4% The coupon rate is 4%. (C) What is the face value? The face value is $1000.
4. Suppose the current zero-coupon yield curve for risk-free bonds is as follows:
Maturity (years) 1 2 3 4 5
YTM 5.00% 5.50% 5.75% 5.95% 6.05%

(A) What is the price per $100 face value of a two-year, zero-coupon, risk-free bond? P = 100(1.055)^2 = $89.85
(B) What is the price per $100 face value of a four-year, zero-coupon, risk-free bond? P = 100/(1.0595)^4 = $79.36
(C) What is the risk-free interest rate for a five-year maturity? 6.05%
10. Suppose a seven-year, $1000 bond with an 8% coupon rate and semiannual coupons is trading with a yield to maturity of 6.75%.
(A) Is this bond currently trading at a discount, at par, or at a premium? Explain.
The bond is trading at a premium because the yield to maturity is less than the coupon rate.
(B) If the yield to maturity of the bond rises to 7% (APR with semiannual compounding), what price will the bond trade for?
40/(1+.035)+40/(1+.035)^2+40+1000/(1+.035)^14 = $1,054.60

22. Consider a five-year, default-free bond with annual coupons of 5% and a face value of $1000.
(A) Without doing any calculations, determine whether this bond is trading at a premium or at a discount. Explain.
The bond is trading at a premium because its yield to maturity is a weighted average of the yields of the zero coupon bonds. Therefore, the yield is below 5% coupon rate.
(B) What is the yield to maturity on this bond?

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