Based on the face value of the bond and the associated interest, the amount of long term liability that Grant should record is $520,500.88.
The long term liability in year 1 should be the present value of the bond. This can be found as:
= Present value of coupon payment + Present value of bond face value
The coupon payment is:
= 8% x 500,000
= $40,000
This is an annuity because it is constant so the revised formula is:
= (Coupon x Present value interest factor of annuity, 7%, 5 years) + (Face value x Present value factor, 7%, 8 years)
Solving therefore gives:
= (40,000 x 4.100197) + (500,000 x 0.712986)
= $520,500.88
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