A firm has liabilities of $98 in one year, $100 in two years, and $107 in three years. The firm exactly matches its liabilities by purchasing the following zero or annual coupon bonds redeemable at par:   Bond Maturity Par Value Coupon Rate Effective Yield   A 1 year 100 5% 3%   B 2 years 100 0% 4%   C 3 years 100 4% 5%   Find the number of units of Bond A that must be purchased to match the liabilities exactly.   (A) 0.894   (B) 0.897   (C) 0.913   (D) 0.933   (E) 0.959

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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A firm has liabilities of $98 in one year, $100 in two years, and $107 in three years. The firm exactly matches its liabilities by purchasing the following zero or annual coupon bonds redeemable at par:

 

Bond Maturity Par Value Coupon Rate Effective Yield

 

A 1 year 100 5% 3%

 

B 2 years 100 0% 4%

 

C 3 years 100 4% 5%

 

Find the number of units of Bond A that must be purchased to match the liabilities exactly.

 

(A) 0.894

 

(B) 0.897

 

(C) 0.913

 

(D) 0.933

 

(E) 0.959

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