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Yes the absolute value is the same, but the sign (with respect to the polarity drawn in the sketch) is wrong. This because the procedure to calculate the PIV is not correct. No matter of tradition, simply the polarity on the drawing doesn't match the polarity of the calculationNumerically you are correct and your value is equal to the book value, you have chosen to express PIV as a negative quantity, whilst the book and tradition makes it a positive quantity.
Frank
According to your schematic the peak inverse voltage is calculated from cathode to anode, then:
PIV = V(cathode) - V(anode) = [Vsec/2) - 0.7] - (-Vsec/2)
you, instead, have considered the PIV as a voltage in series with the diode, in a closed mesh: it's not correct.
Usually the PIV is a positive number, so it's calculated from cathode to anode. However in your calculation wasn't matter of convention but the problem was that the sign didn't match with the diagram: you put the + sign of PIV on the cathode.