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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