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Giải bài 3.16 trang 68 Chuyên đề học tập Toán 12 - Kết nối tri thức

Tìm giá trị hiện tại của một niên kim mà khoản tiền rút sẽ là 5 triệu đồng mỗi tháng trong vòng 48 tháng với lãi suất năm là 6%.

🅷Tổng hợp đề thi học kì 2 lớp 12 tất cả các môn - Kết nối tri thức

Toán - Văn - Anh - Hoá - Sinh - Sử - Địa
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Đề bài

🙈Tìm giá trị hiện tại của một niên kim mà khoản tiền rút sẽ là 5 triệu đồng mỗi tháng trong vòng 48 tháng với lãi suất năm là 6%.

Phương pháp giải - Xem chi tiết

Sử dụng công thức giá trị hiện tại V của niên kim.

Lời giải chi tiết

Ta có P = 5 (triệu đồng); n = 48; \(i = \frac{{6\% }}{{12}} = 0,005\) . Do đó giá trị hiện tại của một niên kim trên là: \(V = P \cdot \frac{{1 - {{(1 + i)}^{ - n}}}}{i} = 5 \cdot \frac{{1 - {{(1 + 0,005)}^{ - 48}}}}{{0,005}} \approx 212,902\) (triệu đồng).

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