A government bond is bought for $5000 on June 1, 2010. The value of the bond increases each year by 3.9% of the previous year's value, and the bond matures on June 1, 2030. Determine the value of the bond at maturity

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To determine the value of the bond at maturity, we need to calculate the value of the bond at each year from 2010 to 2030.

Step 1: Calculate the value of the bond in 2011.
The bond increases by 3.9% of its previous year's value.
Value in 2011 = $5000 + ($5000 * 0.039)

Step 2: Calculate the value of the bond in 2012.
Value in 2012 = Value in 2011 + (Value in 2011 * 0.039)

Step 3: Repeat Step 2 for each subsequent year until 2030.

Here's a step-by-step calculation for the values of the bond:

Year 2011: $5000 + ($5000 * 0.039) = $5195
Year 2012: $5195 + ($5195 * 0.039) = $5398.505
Year 2013: $5398.505 + ($5398.505 * 0.039) = $5612.444
Year 2014: $5612.444 + ($5612.444 * 0.039) = $5837.221
Year 2015: $5837.221 + ($5837.221 * 0.039) = $6073.521
Year 2016: $6073.521 + ($6073.521 * 0.039) = $6322.085
Year 2017: $6322.085 + ($6322.085 * 0.039) = $6583.711
Year 2018: $6583.711 + ($6583.711 * 0.039) = $6859.288
Year 2019: $6859.288 + ($6859.288 * 0.039) = $7149.764
Year 2020: $7149.764 + ($7149.764 * 0.039) = $7456.155
Year 2021: $7456.155 + ($7456.155 * 0.039) = $7779.563
Year 2022: $7779.563 + ($7779.563 * 0.039) = $8111.161
Year 2023: $8111.161 + ($8111.161 * 0.039) = $8452.202
Year 2024: $8452.202 + ($8452.202 * 0.039) = $8803.031
Year 2025: $8803.031 + ($8803.031 * 0.039) = $9164.084
Year 2026: $9164.084 + ($9164.084 * 0.039) = $9535.888
Year 2027: $9535.888 + ($9535.888 * 0.039) = $9918.052
Year 2028: $9918.052 + ($9918.052 * 0.039) = $10311.276
Year 2029: $10311.276 + ($10311.276 * 0.039) = $10716.348
Year 2030: $10716.348 + ($10716.348 * 0.039) = $11134.144

Therefore, the value of the bond at maturity on June 1, 2030, will be $11,134.14.