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.
- 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?
- 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?
- 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 sudah mengerjakan tugas ini dengan baik dan benar
Bukti :
- Berapa bunga yang akan diterima Abdol dari $1.000 dengan bunga 2,25% per tahun yang dikompaun harian?
Abdol memiliki uang sebesar $1.000 di rekening money market dengan bunga 2,25% per tahun. Karena bunganya dikompaun setiap hari, maka perhitungannya adalah:
A = P(1 + r/365)^(365)
A = 1000(1 + 0.0225/365)^(365)
A ≈ 1022.75
Artinya, setelah satu tahun, uang Abdol menjadi sekitar $1.022,75.
Jadi, bunga yang diterima selama setahun adalah sekitar $22,75.
2. Berapa banyak uang yang harus Abdol pindahkan dari rekening lain agar dana daruratnya mencapai 4 kali pengeluaran bulanan?
Pengeluaran bulanan Abdol adalah $700, sehingga target dana daruratnya adalah:
4 × 700 = $2.800
Saldo dana darurat saat ini = $1.000
Jika tanpa memperhitungkan bunga, maka tambahan dana yang harus dipindahkan adalah:
2.800 – 1.000 = $1.800
Namun, jika bunga sebesar $22,75 dari saldo $1.000 diperhitungkan, maka tambahan dana yang perlu dipindahkan menjadi:
2.800 – 1.022,75 = $1.777,25
Jadi, Abdol perlu menambah sekitar $1.777 – $1.800 agar saldo dana daruratnya mencapai target.
3. Berapa uang yang perlu Abdol investasikan sekarang agar memiliki $8.000 dalam 5 tahun dengan bunga 5,5% per tahun (bunga majemuk tahunan)?
Rumus nilai sekarang:
PV = FV / (1 + r)^t
PV = 8000 / (1.055)^5
PV ≈ 6121.07
Artinya, Abdol perlu menabung sekitar $6.121,07 sekarang agar dalam 5 tahun uangnya menjadi $8.000.