Question: I cannot understand why we cannot use the formula PV of Interest Tax Shield = D * t in the following problem. Restex

I cannot understand why we cannot use the formula "PV of Interest Tax Shield = D*t" in the following problem.
Restex maintains a debt-equity ratio of 0.85, and has an equity cost of capital of 12% and a debt cost of capital of 7%. Restexs corporate tax rate is 40%, and its market capitalization is $220 million.
a. If Restexs free cash flow is expected to be $10 million in one year, what constant expected future growth rate is consistent with the firms current market value?
b. Estimate the value of Restexs interest tax shield.
The solution provided is on the picture. be $10 million in one year, what constant expected
future growth rate is consistent with the firm's current market value?
b. Estimate the value of Restex's interest tax shield.
a.
WACC=11.8512%+0.851.857%(1-0.40)=8.42%
VL=E+D=2201.85=407=FCFWACC-g=100.0842-g
g=0.0842-10407=5.96%
b.
pretax WACC =11.8512%+0.851.857%=9.70%
VU=FCFpretaxWACC-g=100.0970-0.0596=$267 million
PV( Interest Tax Shield )=407-267=$140 million
 I cannot understand why we cannot use the formula "PV of

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