In: Accounting
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?
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 |