Assume the current Treasury yield curve shows that the spot rates for six months, one year, and one and a half years are 1 %, 1.1 %, and 1.3 %, all quoted as semiannually compounded APRs. What is the price of a $1 comma 000 par, 3.5 % coupon bond maturing in one and a half years (the next coupon is exactly six months from now)?
Bond Price:
Price of Bond = PV of CFs from it.
Period | CF | [email protected]% | Disc CF |
1 | $ 17.50 | 0.9935 | $ 17.39 |
2 | $ 17.50 | 0.9871 | $ 17.27 |
3 | $ 17.50 | 0.9808 | $ 17.16 |
3 | $ 1,000.00 | 0.9808 | $ 980.75 |
Price of the Bond | $ 1,032.58 |
PVF = 1.3% / 2 = 0.65%
CF = Coupon = 1000 * (3.5%/2)
Pls do rate, if the answer is correct and comment, if any further assistance is required.
Get Answers For Free
Most questions answered within 1 hours.