The price of a 3-month zero-coupon bond with $100 face value is $99.50. The price of a 6-month zero-coupon bond with $100 face value is $99.10. The price of a fixed- rate coupon bond which has a maturity of 9 months, a coupon rate of 3%, a face value of $100, and which pays coupons quarterly, is $100. Three months ago the 6-month semi- annually compounded spot rate was 4%. What is the price of a 0.75-year floating-rate bond, which pays coupons semi-annually, which has a face value of $100, and the coupon rate of which is equal to the semi-annually compounded 6-month spot rate plus 2% spread? а. b. What is the price of a 4-year floating-rate bond, which pays coupons semi- annually, which has a face value of $100, the coupon rate of which is equal to the semi-annually compounded 6-month spot rate, and which has just paid its most recent coupon?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 11P
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The price of a 3-month zero-coupon bond with $100 face value is $99.50. The
price of a 6-month zero-coupon bond with $100 face value is $99.10. The price of a fixed-
rate coupon bond which has a maturity of 9 months, a coupon rate of 3%, a face value of
$100, and which pays coupons quarterly, is $100. Three months ago the 6-month semi-
annually compounded spot rate was 4%.
What is the price of a 0.75-year floating-rate bond, which pays coupons
semi-annually, which has a face value of $100, and the coupon rate of which is equal
to the semi-annually compounded 6-month spot rate plus 2% spread?
a.
b.
What is the price of a 4-year floating-rate bond, which pays coupons semi-
annually, which has a face value of $100, the coupon rate of which is equal to the
semi-annually compounded 6-month spot rate, and which has just paid its most
recent coupon?
Transcribed Image Text:The price of a 3-month zero-coupon bond with $100 face value is $99.50. The price of a 6-month zero-coupon bond with $100 face value is $99.10. The price of a fixed- rate coupon bond which has a maturity of 9 months, a coupon rate of 3%, a face value of $100, and which pays coupons quarterly, is $100. Three months ago the 6-month semi- annually compounded spot rate was 4%. What is the price of a 0.75-year floating-rate bond, which pays coupons semi-annually, which has a face value of $100, and the coupon rate of which is equal to the semi-annually compounded 6-month spot rate plus 2% spread? a. b. What is the price of a 4-year floating-rate bond, which pays coupons semi- annually, which has a face value of $100, the coupon rate of which is equal to the semi-annually compounded 6-month spot rate, and which has just paid its most recent coupon?
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