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In: Accounting

Sandhill Co. issued 8%, 9-year, $2,618,600 par value bonds that pay interest semiannually on October 1...

Sandhill Co. issued 8%, 9-year, $2,618,600 par value bonds that pay interest semiannually on October 1 and April 1. The bonds are dated April 1, 2017, and are issued on that date. The discount rate of interest for such bonds on April 1, 2017, is 8%.

What cash proceeds did Sandhill receive from issuance of the bonds?

Solutions

Expert Solution

CALCULATION OF PRESENT VALUE OF THE BOND IF THE INTEREST PAID SEMI ANNUALLY
Step 1 : Calculation of Annual Coupon Payments
Par value of the bond issued is   = $26,18,600
Annual Coupon % 8.00%
Annual Coupon Amount $2,09,488.00
Semi Annual Coupon Amount $1,04,744.00
Step 2: Calculate number of years to Maturity
Number of years to maturity = 9 years
Interest is paid semi annyally so total period = 9 Years * 2 = 18 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 %
PVF = 1 / Discount rate = 1/ 1.04
Result of above will again divide by 1.04 , repeat this lat period
Period Interest Amount (In Million) PVF @ 4% PresentValue
1 Interest $1,04,744.00                     0.9615 $1,00,715.38
2 Interest $1,04,744.00                     0.9246 $96,841.72
3 Interest $1,04,744.00                     0.8890 $93,117.03
4 Interest $1,04,744.00                     0.8548 $89,535.61
5 Interest $1,04,744.00                     0.8219 $86,091.93
6 Interest $1,04,744.00                     0.7903 $82,780.70
7 Interest $1,04,744.00                     0.7599 $79,596.83
8 Interest $1,04,744.00                     0.7307 $76,535.41
9 Interest $1,04,744.00                     0.7026 $73,591.75
10 Interest $1,04,744.00                     0.6756 $70,761.29
11 Interest $1,04,744.00                     0.6496 $68,039.71
12 Interest $1,04,744.00                     0.6246 $65,422.79
13 Interest $1,04,744.00                     0.6006 $62,906.53
14 Interest $1,04,744.00                     0.5775 $60,487.05
15 Interest $1,04,744.00                     0.5553 $58,160.63
16 Interest $1,04,744.00                     0.5339 $55,923.68
17 Interest $1,04,744.00                     0.5134 $53,772.77
18 Interest $1,04,744.00                     0.4936 $51,704.58
18 Bond Principal Value $26,18,600.00                     0.4936 $12,92,614.60
Total $26,18,600.00
Current Bonds Price = $26,18,600
Cash Proceeds from the issue og bonds = $26,18,600
Answer = $26,18,600

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