Q#13025

just wanna double check…i think schweser messed this one up big time…what answer are you guys getting? (and it doesn’t have to be an A B C D either)… A portfolio manager has decided to pursue a contingent immunization strategy over a four-year time horizon. He just purchased at par $26 million worth of 6% semiannual coupon, 8-year bonds. Current rates of return for immunized strategies are 6% and the portfolio manager is willing to accept a return of 5%. Given that the required terminal value is $31,678,475, and if the immunized rates rise to 7% immediately, which of the following is most accurate? The dollar safety margin is: A) positive ($6,158,602) and the portfolio manager can continue with contingent immunization. B) positive ($6,158,602) and the portfolio manager must switch to immunization. C) negative (-$1,423,980) and the portfolio manager must switch to immunization. D) negative (-$1,423,980) and the portfolio manager can continue with contingent immunization

Safety margin is a positive 370,764.82 and should not immunization assuming there term val is correct.

^agree, that’s what i got as well. i was certain that Schweser facked up.

required val=31,678,475/1.035^8=24,057,000 bonds are worth N=16 I=3.5 Pmt=780,000 fv 26,000,000 =24,427,764.81

^as i said, that’s what i got. I agree with you. schweser’s answers for some reason used a N=16 for the present value of the required terminal value, which i knew had to be wrong. but i wante dto eliminate my doubt since we’re close to the exam!

Nice I think I finally got this down, what was schweser’s answer and calcs?

strikershank Wrote: ------------------------------------------------------- > ^as i said, that’s what i got. I agree with you. > > schweser’s answers for some reason used a N=16 for > the present value of the required terminal value, > which i knew had to be wrong. > > but i wante dto eliminate my doubt since we’re > close to the exam! Wait they used 16 to discount the term val back? That’s completely wrong, they wanted to immunize for 4 yrs, should use 8.

Terminal Value is in 8 years = 16 periods = PV of 18,269,164 Bonds have 8 years left also = 16 periods = PV of 24,427,765 Difference of 6,158,601 so A. I dont have Schweser so is this right?

no - because the contingent immunization strategy is for four years, not 8…the bonds purhcased mature in 8 years…but that doesn’t matter. What matters it he immunization period (4 years!).

What’s the answer from Schweser?

yes he only wants to immunize for 4 years so you discount the term val by that (8 yrs).

schweser said the answer is but i think they screwed up by using N=16 for the terminal value part. The correct answer was A) positive ($6,158,602) and the portfolio manager can continue with contingent immunization. We are given the required terminal value of $31,678,475. Next, we calculate the current value of the bond portfolio: PMT = ($26,000,000)(0.03) = $780,000; N = 16; I/Y = 7/2 = 3.5%; and FV = $26,000,000; CPT ¨ PV = $24,427,765. Next, compute the present value of the required terminal value at the new interest rate: FV = $31,678,475; PMT = 0; N = 16; I/Y = 7/2 = 3.5%; CPT ¨ PV = $18,269,163. The dollar safety margin is positive ($24,427,765 - $18,269,163 = $6,158,602) and the manager can continue to employ contingent immunization. --------------------------------------------------------------------------------

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So I guess I was right :slight_smile: Accordign to Schweser…

no, with the terminal value you don’t keep the interest rate the same and yes, according to schweser you are correct. According to me (and Dino), i think you’re both wrong:) But i mean that in a nice way!, haha.

Striker…I deleted that post about Interest rates… I was fishing for a differetn answer and strange thoughts were coming into my head :frowning:

we’re on the same page now?

Yes, if thats the page on I’M CORRECT :slight_smile:

oh, you’re not correct, lol… i’m 99% sure scheweser screwed up this question. Where’s CSK??? what’s he think? or other people on this board to bring hte sample size up??