Question

Tahoe Tent Lud ssued bonch with a par value of $82,000 on Jenusry t,2012 The annuel conerect ate on the bonds s t800% and the nteres is pad semansually The bonds mature after treee years The annual market a What is the anoust of the ongnal premium on these bonds? (use financial calculator for caloulating Ps) b. how much total bornd intorest experse wll -se we be recogntred over re ite areese booolDo not round inermediato calculations. Round the nnal answer to the nearest whole dollar) the interest and omortiang the premum (Do not round intermediate calculations. Round the final answers to the nearest whole od of Enter all the amounts as positive values.) Premium Carrying ne 3019 Dec 3บา9
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Answer #1
a. Premium $         37,538
Working:
Cash proceeds on the issuance of Bonds $       8,49,538
Less Face Value of Bonds $       8,12,000
Premium $           37,538
b. Total Interest Expense $ 4,00,942
Working:
Total Interest paid 812000*(18%*6/12)*(3*12/6) = $       4,38,480
Face Value at the end of life of bond $       8,12,000
Total $       12,50,480
Less Cash proceeds on the issuance of bond $          8,49,538
Total Interest Expense $          4,00,942
c.
Amortization Table:
Period Ending Cash Interest Paid Period Interest Expense Premium Amort. Unamortized Premium Carrying Value
Jan 1/17 0 0 0 $             37,538 $ 8,49,538
June 30/17 $     73,080 $           67,963 $    5,117 $             32,421 $ 8,44,421
Dec 31/17 $     73,080 $           67,554 $    5,526 $             26,895 $ 8,38,895
June 30/18 $     73,080 $           67,112 $    5,968 $             20,926 $ 8,32,926
Dec 31/18 $     73,080 $           66,634 $    6,446 $             14,480 $ 8,26,480
June 30/19 $     73,080 $           66,118 $    6,962 $                7,519 $ 8,19,519
Dec 31/19 $     73,080 $           65,562 $    7,518 $                        0 $ 8,12,000
Total
$ 4,38,480
$       4,00,942
$ 37,538
Working:
Semi annual cash interest paid = Face Value * Semi annual Interest rate
= $       8,12,000 * 18%*6/12
= $           73,080
Interest Expense for the period ending June 30/17 = Beginning of the period carrying value * semi annual market interest rate
= $       8,49,538 * 16%*6/12
= $           67,963
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