1. The problem is to calculate the present value (PV) using the formula $$PV = P \times e^{-rt}$$ where $P$ is the principal amount, $r$ is the rate, and $t$ is the time. 2. Given values: $P = 34000$, exponent $-0.287$. 3. Calculate the exponent part: $$e^{-0.287} \approx 0.750415$$ 4. Multiply the principal by the exponent result: $$PV = 34000 \times 0.750415 = 25514.11$$ 5. Therefore, the present value of the deposit is $25514.11$.