In: Finance
A 5 year bond has a YTM of 7% and a coupon rate of 8%. Assuming a par value of $1,000 and semi-annual coupon payments, what should this bond be trading for?
Statement showing Price or Intrinsic Value ( since there is semi annual payment so coupon payment is 1000*0.08/2=$40, yield is 7/2=3.5% and number of years= 5*2=10) | ||||
Particulars | Time | PVf @3.5% | Amount | PV |
Cash Flows (Interest) | 1.00 | 0.9662 | 40.00 | 38.65 |
Cash Flows (Interest) | 2.00 | 0.9335 | 40.00 | 37.34 |
Cash Flows (Interest) | 3.00 | 0.9019 | 40.00 | 36.08 |
Cash Flows (Interest) | 4.00 | 0.8714 | 40.00 | 34.86 |
Cash Flows (Interest) | 5.00 | 0.8420 | 40.00 | 33.68 |
Cash Flows (Interest) | 6.00 | 0.8135 | 40.00 | 32.54 |
Cash Flows (Interest) | 7.00 | 0.7860 | 40.00 | 31.44 |
Cash Flows (Interest) | 8.00 | 0.7594 | 40.00 | 30.38 |
Cash Flows (Interest) | 9.00 | 0.7337 | 40.00 | 29.35 |
Cash Flows (Interest) | 10.00 | 0.7089 | 40.00 | 28.38 |
Cash flows (Maturity Amount) | 10.00 | 0.7089 | 1,000.00 | 708.90 |
Intrinsic Value of Bond or Current Bond Price | 1,041.58 | |||
Price of bond is 1041.58 |