4 points Sav Question 6 A $ 1 000 par value 600 bond with semiannual coupons mat
ID: 2578270 • Letter: 4
Question
4 points Sav Question 6 A $ 1 000 par value 600 bond with semiannual coupons matures at the end of 10 years. The bond is call ab $1050 atthe ends ofyears 4 through 6, at $1025 at the ends of years 7 through 9, and at $1000 at the en year 10. Find the maximum price that an investor can pay and still be certain ofa yield rateof.% conve semiannually Price if called in the window of ends of years 4 through 6: Price if called in the window of ends of years 7 through 9: C Price if called at maturity (end of year 10): C Maximum price that an investor can pay and still be certain of a yield rate of490 convertiblesemianlExplanation / Answer
Price if called in the window of ends of years 4 through 6
= (Semi-annual interest payment x PVA2%,20) + (Call price x PV2%,20)
= ($1000 x 3% x 16.351433) + ($1050 x 0.672971)
= $1197
Price if called in the window of ends of years 7 through 9
= (Semi-annual interest payment x PVA2%,20) + (Call price x PV2%,20)
= ($1000 x 3% x 16.351433) + ($1025 x 0.672971)
= $1180
Price if called at maturity (end of year 10):
= (Semi-annual interest payment x PVA2%,20) + (Call price x PV2%,20)
= ($1000 x 3% x 16.351433) + ($1000 x 0.672971)
= $1164
Maximum price = $1164
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