Different values of the interest rate and the beta scaling factor yield different
levels of optimal /„. To illustrate this. Figure 4 shows the mean value of optimal
/., for alternative interest rates of 2 percent. 6 percent (baseline), 10 percent, 15
percent, and 20 percent, holding the beta scaling factor constant at the ba.seline
value of 0.01. The mean value of optimal /„ increases monotonicaliy as the interest
rate increases. On one hand, a higher interest rate reduces the present value of accrued losses in the absence of auditing, thereby requiring less frequent audits for a given audit cost. On the other band, a higher interest rate reduces the present value of the audit cost implying more frequent audits for given accrued losses. Hence the net effect of higher interest rates on the optimal audit interval is, in theory, ambiguous. However, in the Appendix we show that the net effect is positive, as .shown in Figure 4, for sufficiently large values of C/M.
Different values of the interest rate and the beta scaling factor yield different
levels of optimal /„. To illustrate this. Figure 4 shows the mean value of optimal
/., for alternative interest rates of 2 percent. 6 percent (baseline), 10 percent, 15
percent, and 20 percent, holding the beta scaling factor constant at the ba.seline
value of 0.01. The mean value of optimal /„ increases monotonicaliy as the interest
rate increases. On one hand, a higher interest rate reduces the present value of accrued losses in the absence of auditing, thereby requiring less frequent audits for a given audit cost. On the other band, a higher interest rate reduces the present value of the audit cost implying more frequent audits for given accrued losses. Hence the net effect of higher interest rates on the optimal audit interval is, in theory, ambiguous. However, in the Appendix we show that the net effect is positive, as .shown in Figure 4, for sufficiently large values of C/M.
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