A 25-year, $1,000 par value zero-coupon rate bond is to be issued to yield 8 per
ID: 2804983 • Letter: A
Question
A 25-year, $1,000 par value zero-coupon rate bond is to be issued to yield 8 percent. Use Appendix B for an approximate answer but calculate your final answer using the formula and financial calculator methods.
a. What should be the initial price of the bond? (Assume annual compounding. Do not round intermediate calculations and round your answer to 2 decimal places.)
b. If immediately upon issue, interest rates dropped to 7 percent, what would be the value of the zero-coupon rate bond? (Assume annual compounding. Do not round intermediate calculations and round your answer to 2 decimal places.)
c. If immediately upon issue, interest rates increased to 10 percent, what would be the value of the zero-coupon rate bond? (Assume annual compounding. Do not round intermediate calculations and round your answer to 2 decimal places.)
A 25-year, $1,000 par value zero-coupon rate bond is to be issued to yield 8 percent. Use Appendix B for an approximate answer but calculate your final answer using the formula and financial calculator methods.
a. What should be the initial price of the bond? (Assume annual compounding. Do not round intermediate calculations and round your answer to 2 decimal places.)
Bond price____
b. If immediately upon issue, interest rates dropped to 7 percent, what would be the value of the zero-coupon rate bond? (Assume annual compounding. Do not round intermediate calculations and round your answer to 2 decimal places.)
Bond price____
c. If immediately upon issue, interest rates increased to 10 percent, what would be the value of the zero-coupon rate bond? (Assume annual compounding. Do not round intermediate calculations and round your answer to 2 decimal places.)
Bond Price_____
Chapter 16HW
Appendix B Present value of $1,PVF PV=FV Percent Period 4 Appendlx B (concluded) Percent Period 50% 0.783 0.769 0.756 0.743 0.731 0.718 0.706 0.694 0.640 0.592 0.549 0.510 0.444 0.693 0.675 0.658 0.641 0.624 0.609 0.593 0.579 0512 0.455 0.406 0.364 0.296 0.480 0.456 0.432 0.410 0.390 0.370 0.352 0.335 0.262 0.207 0.165 0.133 0.088 0.425 0.400 0.376 0.354 0.333 0.314 0.296 0.279 0.210 0.159 0.122 0.095 0.059 0.261 0.237 0.215 0.195 0.178 0.162 0.148 0.135 0.086 0.056 0.037 0.025 0.012 0.160 0.140 0.123 0.108 0.095 0.084 0.074 0.065 0.035 0.020 0.011 0.006 0.002 0.125 0.108 0.093 0.080 0.069 0.060 0.052 0.045 0.023 0.012 0.006 0.003 0.001 0.098 0.083 0.070 0.060 0.051 0.043 0.037 0.031 0.014 0.007 0.003 0.002 0 0.087 0.073 0.061 0.051 0.043 0.037 0.031 0.026 0.012 0.005 0.002 0.001 0 0.047 0.038 0.030 0.024 0.020 0.016 0.013 0.010 0.004 0.001 0.001 0 0.026 0.020 0.015 0.012 0.009 0.007 0.005 0.004 0.001 0Explanation / Answer
(a) What should be the initial price of the bond = Par value * PV at 8%, n = 25
1000 * 0.146 = 146
(b) If Interest rates drop to 7% ........... Value of bond = 1000 * 0.184 = 184
(c) If Interest rates Increase to 10% ..... Value of bond = 1000 * 0.116 = 116
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