The price of the bond if the yield to maturity falls to 7%, based on the period and amount will be $1,620.45.
We shall assume that the bond has a face value of $1,000.
The coupon is:
= 12% x 1,000
= $120
The price is:
= (Coupon x Present value interest factor of annuity, 30 years, 7%) + Face value of bond / ( 1 + rate) ^ number of periods
= (120 x 12.409) + (1,000 / (1 + 7%)³⁰)
= $1,620.45
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