How to solve for YTM in this question/ equation?

ann34

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Is there a way to solve for YTM in the below question using the TI calculator? CFAI did not give a detailed solution to this problem, thus suggesting that “r or YTM” could be solved through calculators. I remember somewhere in the readings CFAI does state that r could be solved through calculators and I wasn’t able to get it then. My TI calculator classifies r ( or I/Y) only as an input variable and hence cannot be computed.
“Dot.Com has determined that it could issue $1,000 face value bonds with an 8 percent coupon paid semi-annually and a five-year maturity at $900 per bond. If Dot.Com’s marginal tax rate is 38 percent, its after-tax cost of debt is closest to:

A. 6.2 percent.
B. 6.4 percent.
C. 6.6 percent.”

If this is not possible, what is the fastest way to do it. I’m thinking of using PV of annuity but still couldnt solve the r in the ff equation:

40 1040
900 = E* ——————- + —————–
( 1 + r / 2 ) ^9 (1 + r/2) ^10


*E represents summation in the above formula
 
N = 10, I/Y = ?, PV = -900, PMT = 40, FV = 1000…solve for I/Y = 5.31% (rounded).
I also use a TI and have no problem calculating this, maybe watch your signs? PV sign should be different from the FV & PMT signs (FV & PMT should be the same).
The 5.31% needs to be multiplied by 2 (5.31 x 2 = 10.62). 10.62% x (1 - 38.0%) = 6.6% (rounded).
 
Oh yeah, thank you very much. I got “error” bc of the wrong sign.
 
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