On January 2017, BobCat Inc. issued $300,000 seven year bonds with 8% stated interest paid semiannually. Effective interest rate was 7%. How much cash did BobCat Inc. received a result of the bond issuance and what was the journal entry?
Semi Annual interest payment = 300,000 x 8% x 6/12
= $12,000
Present value of principal to be received at the maturity = Par value of bonds x Present value factor (r%, n)
= 300,000 x Present value factor (3.5%, 14)
= 300,000 x 0.61778
= $185,334
Present value of interest to be received periodically over the term of the bonds = Interest x Present value annuity factor (r%, n)
= 12,000 x Present value annuity factor (3.5%, 14)
= 12,000 x 11.30274
= $135,633
Issue price of bond = Present value of principal to be received at the maturity + Present value of interest to be received periodically over the term of the bonds
= $185,334+135,633
= $320,967
Par value of bonds = $300,000
Cash receipts from issue of bonds = $320,967
Premium on bonds payable = Cash receipts from issue of bonds - Par
value of bonds
= $320,967-300,000
= $20,967
Date | General Journal | Debit | Credit |
Cash | $300,000 | ||
Bonds payable | $20,967 | ||
Premium on bonds payable | $320,967 | ||
( To record issue of bonds at premium) |
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