Answer:-
Bond
Face value = $ 1000
Maturity = 6 years
Coupons rate = 3 %
Coupon payments = 30 (annually)
Bond interest rate = 4 %
The Present Value (PV) of the bond is calculated = $ 947.58
Given the interest rate changes from 4 % to 2.75%
Therefore the Present value of bond is calculated
considering the interest rate = 2.75% in the year 5
Face value = $ 1000
Number of years = 5
Coupons payment = $ 30
Bond interest rate = 2.75 %
The Present Value (PV) of the bond = $ 1011.53
As the bond prices and the interest rate are inversely related as the interest rate decreases from 4 % to 2.75 % the bond prices increases to $ 1011.53 in the year 5.
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