Using your previous answer for
𝜋
𝑡
, calculate
𝑌
~
𝑡
(in percent).

Round your answer to the nearest tenth of a percent.

Question

Using your previous answer for 
𝜋
𝑡
, calculate 
𝑌
~
𝑡
 (in percent).

Round your answer to the nearest tenth of a percent.

BlackTom AI · Accepted Answer

Restating the task: you’re asked to use your prior result for π̃_t to compute Ŷ_t in percent, and to round to the nearest tenth of a percent.

Step 1: Identify the conversion rule. When you move from a decimal value like π̃_t to a percent value Ŷ_t, you typically multiply by 100 and append a percent sign. In other words, Ŷ_t (%) = π̃_t × 100. This is the standard way to express decimals as percentages.

Step 2: Apply the rule to the given answer. The provided final answer is -1.4% for Ŷ_t. If we work backward, this corresponds to π̃_t = -1.4 ÷ 100 = -0.014, because -0.014 × 100 = -1.4.

Step 3: Verify rounding. The instruction asks to round to the nearest tenth of a percent. Since -1.4% already has one decimal place, no further rounding is needed, assuming the intermediate π̃_t value was -0.014 exactly or rounded to this in the prior step.

Step 4: Discuss potential alternatives if the prior π̃_t differs. If your prior π̃_t value were e.g. -0.0138, converting to percent would give -1.38%, which rounds to -1.4% to the nearest tenth. If π̃_t were -0.0142, the percent would be -1.42%, which also rounds to -1.4% at the nearest tenth. The key is to multiply by 100 and then apply the rounding rule to one decimal place.

Step 5: Common pitfalls to avoid. Do not confuse percent conversion with just moving the decimal point without proper scaling, and be careful with the sign—negative decimals become negative percentages. Also ensure you’re rounding to the correct precision (one decimal place) and not leaving extra digits.

Step 6: Summary. The calculation to obtain Ŷ_t in percent from a prior π̃_t is Ŷ_t = 100 × π̃_t, rounded to one decimal place. If the prior π̃_t equals -0.014, then Ŷ_t = -1.4%, matching the given result.

FA25 ECON 302 002 Final Exam

Using your previous answer for 𝜋 𝑡 , calculate 𝑌 ~ 𝑡 (in percent). Round your answer to the nearest tenth of a percent.

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