ect FINANCE Bonds instructions help Question 1 (of 10) Save &Exit; Submit value 10.00 points Union Local School District has bonds outstanding with an annual coupon rate of 3.1 percent (paid semiannually) and 22 years to maturity The yield to maturity on these bonds is 3 4 percent and the bonds have a par value of $10,000 Note: Unless stated otherwise, assume the annual coupon is paid in semi-annual instalilments, and the yield is quoted as an APR with semi- annual compounding What is the price of the bonds? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g 32.16.) Price References eBook & Resources Worksheetarning Objective 07-02 Bond values and yields and why they tu IM day 018 Difficuity Solution 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 = $10,000 Annual Coupon % 3.10% Annual Coupon Amount $310.00 Semi Annual Coupon Amount $155.00 Step 2: Calculate number of years to Maturity Number of years to maturity = 22 years Interest is paid semi annyally so total period = 22 Years * 2 = 44 Periods Step 3 : Caclulation of Current Market Price (intrinsic value) of the bonds Market rate of interest or Yield to Maturity or Required Return = 3.4 % Bonds interest is paid semi annualy means so discounting factor = 3.4 % /2= 1.7 % PVF = 1 / Discount rate = 1/ 1.017 Result of above will again divide by 1.017 , repeat this lat period Period Interest Amount (In Million) PVF @ 1.7% PresentValue 1 Interest $155.00 0.9833 $152.41 2 Interest $155.00 0.9668 $149.86 3 Interest $155.00 0.9507 $147.36 4 Interest $155.00 0.9348 $144.89 5 Interest $155.00 0.9192 $142.47 6 Interest $155.00 0.9038 $140.09 7 Interest $155.00 0.8887 $137.75 8 Interest $155.00 0.8738 $135.45 9 Interest $155.00 0.8592 $133.18 10 Interest $155.00 0.8449 $130.96 11 Interest $155.00 0.8307 $128.77 12 Interest $155.00 0.8169 $126.61 13 Interest $155.00 0.8032 $124.50 14 Interest $155.00 0.7898 $122.42 15 Interest $155.00 0.7766 $120.37 16 Interest $155.00 0.7636 $118.36 17 Interest $155.00 0.7508 $116.38 18 Interest $155.00 0.7383 $114.43 19 Interest $155.00 0.7259 $112.52 20 Interest $155.00 0.7138 $110.64 21 Interest $155.00 0.7019 $108.79 22 Interest $155.00 0.6901 $106.97 23 Interest $155.00 0.6786 $105.18 24 Interest $155.00 0.6673 $103.43 25 Interest $155.00 0.6561 $101.70 26 Interest $155.00 0.6451 $100.00 27 Interest $155.00 0.6344 $98.33 28 Interest $155.00 0.6238 $96.68 29 Interest $155.00 0.6133 $95.07 30 Interest $155.00 0.6031 $93.48 31 Interest $155.00 0.5930 $91.91 32 Interest $155.00 0.5831 $90.38 33 Interest $155.00 0.5733 $88.87 34 Interest $155.00 0.5638 $87.38 35 Interest $155.00 0.5543 $85.92 36 Interest $155.00 0.5451 $84.48 37 Interest $155.00 0.5360 $83.07 38 Interest $155.00 0.5270 $81.68 39 Interest $155.00 0.5182 $80.32 40 Interest $155.00 0.5095 $78.98 41 Interest $155.00 0.5010 $77.66 42 Interest $155.00 0.4926 $76..