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Citywide Company issues bonds with a par value of $78,000. The bonds mature in eight years and pay 11% annual interest in sem
Citywide Company issues bonds with a par value of $78,000. The bonds mature in eight years and pay 11% annual interest in sem
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Answer #1
CALCULATION OF PRESENT VALUE OF THE BOND IF THE INTEREST PAID SEMI ANNUALLY
Step 1 : Calculation of Semi Annual Coupon Payments
Par value of the bond issued is   = $78,000
Annual Coupon % 11.00%
Annual Coupon Amount $8,580
Semi Annual Coupon Amount $4,290
Step 2: Calculate number of years to Maturity
Number of years to maturity = 8 years
Interest is paid semi annyally so total period = 8 Years * 2 = 16 Periods
Step 3 : Caclulation of Current Market Price (intrinsic value) of the bonds
Market rate of interest or Yield to Maturity or Required Return = 8%
Bonds interest is paid semi annualy means so discounting factor = 8 % /2= 4 %
Period Interest Amount (In Million) PVF of $ 1 @ 4% PresentValue
1 Interest $4,290                     0.9615 $4,125
2 Interest $4,290                     0.9246 $3,966
3 Interest $4,290                     0.8890 $3,814
4 Interest $4,290                     0.8548 $3,667
5 Interest $4,290                     0.8219 $3,526
6 Interest $4,290                     0.7903 $3,390
7 Interest $4,290                     0.7599 $3,260
8 Interest $4,290                     0.7307 $3,135
9 Interest $4,290                     0.7026 $3,014
10 Interest $4,290                     0.6756 $2,898
11 Interest $4,290                     0.6496 $2,787
12 Interest $4,290                     0.6246 $2,680
13 Interest $4,290                     0.6006 $2,576
14 Interest $4,290                     0.5775 $2,477
15 Interest $4,290                     0.5553 $2,382
16 Interest $4,290                     0.5339 $2,290
16 Princpal $78,000                     0.5339 $41,645
CURRENT BOND PRICE $91,633
SOLUTION : 1
SIMULTANEOUSLY WE CAN SOLVE WITH BELOW MEHTOD
Cash Flow Taxable Value Cumulative value of $ 1 @ 4 % in 16 Periods
Par Value $78,000                   0.5339                     41,645
Interest (Annuity) $4,290                 11.6523                     49,988
Current Bonds Price                     91,633
SOLUTION : 2
Trans. General Journal Debit Credit
For Issuance of Bonds for Cash
1 Cash Account $91,633
       Bonds Payable $78,000
       Premium on issuance of bond $13,633
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