Subjects finance

Btc Profit 14A511

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Btc Profit 14A511


1. **State the problem:** You bought BTC with 30000 USDT and sold it after BTC price increased by 2%. The maker and taker fees are both 0.2%. We want to find the profit made after fees. 2. **Understand the fees:** Maker and taker fees are percentages charged on the trade amount. Here, both are 0.2%, so total fees for buying and selling are $0.2\% + 0.2\% = 0.4\%$. 3. **Calculate the BTC amount bought:** Since you spent 30000 USDT, the BTC amount bought before fees is $\frac{30000}{P}$ where $P$ is the BTC price at purchase. But since we don't have $P$, we can work with relative changes. 4. **Calculate the value after 2% increase:** The BTC price increased by 2%, so the new price is $P \times 1.02$. 5. **Calculate gross value after selling:** The BTC amount bought is $\frac{30000}{P}$. After price increase, value is $\frac{30000}{P} \times P \times 1.02 = 30000 \times 1.02 = 30600$ USDT. 6. **Calculate total fees:** Fees apply on both buy and sell, total 0.4%. Fees on 30000 USDT is $30000 \times 0.004 = 120$ USDT. 7. **Calculate net profit:** Net profit = value after selling - initial amount - fees = $30600 - 30000 - 120 = 480$ USDT. **Final answer:** The profit made after fees is **480** USDT.