Ashlee Inc. has a discount bond making semi-annual payments. It pays 6% coupon,
ID: 2661364 • Letter: A
Question
Ashlee Inc. has a discount bond making semi-annual payments. It pays 6% coupon, has a YTM of 8%, and a maturity of 20 years.
Keith Inc. has a premium bond making semi-annual payments. It pays 10% coupon, has a YTM of 7%, and a maturity of 20 years. If interest rates remain unchanged, what do you expect the price of these bonds to be in:
a) 2 years from now?
b) 8 years from now?
c) 18 years from now?
d) and at the end of their maturity?
e) Plot your (a), (b), (c), (d), and (e) values.
Explanation / Answer
Ashlee Inc.
Price = 30*PVIFA(4,40)+(1000/1.04^40)
a) Price after 2 year = 30*PVIFA(4,36)+(1000/1.04^36) = $810.917
b) Price after 8 year = 30*PVIFA(4,24)+(1000/1.04^24) = $847.530
c) Price after 18 yeears = 30*PVIFA(4,4)+(1000/1.04^4) = $963.701
d) price at the end of maturity = $1000
e) it is an increasing plot
Keith Inc.
Price = 50*PVIFA(4,40)+(1000/1.035^40)
a) Price after 2 year = 50*PVIFA(4,36)+(1000/1.035^36) = $1304.357
b) Price after 8 year = 50*PVIFA(4,24)+(1000/1.035^24) = $1240.876
c) Price after 18 yeears = 50*PVIFA(4,4)+(1000/1.035^4) = $1055.095
d) price at the end of maturity = $1000
e) it is an decreasing plot
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