Assignment 5 – Matematika Bisnis – BD309 – Dwi Nur Ramadhan

Case 2- Planning: The Key to Wealth

Abdol Akhim has just come from a Personal Finance class where he learned that he can determine how much his savings will be worth in the future. Abdol is completing his two-year business administration degree this semester and has been repairing computers in his spare time to pay for his tuition and books.

Abdol got out his savings records and decided to apply what he had learned. He has a balance of $1,000 in a money market account at First Savings Bank, and he considers this to be an emergency fund. His instructor says that he should have 3–6 months of his total bills in an emergency fund. His bills are currently $700 a month. He also has a checking account and a regular savings account at First Savings Bank, and he will shift some of his funds from those accounts into the emergency fund. One of Abdol’s future goals is to buy a house. He wants to start another account to save the $8,000 he needs for a down payment.

  1. How much interest will Abdol receive on $1,000 in a 365-day year if he keeps it in the money market account earning 2.25% compounded daily?
  2. How much money must Abdol shift from his other accounts to his emergency fund to have four times his monthly bills in the account by the end of the year
  3. Abdol realizes he needs to earn more interest than his current money market can provide. Using annual compounding on an account that pays 5.5% interest annually, find the amount Abdol needs to invest to have the $8,000 down payment for his house in 5 years

Status:100%
Keterangan: saya telah mengerjakan dengan baik dan benar
Bukti:

1. Abdol akan menerima sekitar $22,75 bunga dalam satu tahun jika ia menyimpan $1.000 di rekening money market dengan tingkat 2,25% yang dikompaun harian nilai akhir saldo menjadi sekitar $1.022,75.
2. Agar dana daruratnya mencapai empat kali biaya bulanan ($2.800) pada akhir tahun dengan asumsi setiap dana yang dipindahkan ikut memperoleh bunga harian di akun yang sama, Abdol perlu memindahkan sekitar $1.737,71 sekarang dari rekening lain ke money market (sehingga $(1.000 + 1.737,71) tumbuh menjadi ≈ $2.800 pada akhir tahun).
3. Untuk memiliki $8.000 dalam 5 tahun pada akun yang membayar 5,5% per tahun dengan kompaun tahunan, Abdol perlu menginvestasikan sekarang sekitar $6.121,07.

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