Obuor, a level 100 student at University of Ghana plans to take a student loan to finance his four year PhD study at the university. He plans to take Ghc5000 for each academic year and this amount will attract an interest of 15 percent annually compounded quarterly.
How much will he owe the loan company after his four year study if he plans to take the loan at the start of each academic year?
Answer
Finally, we find that the total amount that Obuor will owe the loan company after his four year study is approximately \(\boxed{29294.02}\) Ghc.
Step 1 ：Let's denote the principal amount as \(P\), which is Ghc5000.
Step 2 ：The annual interest rate is denoted as \(r\), which is 0.15.
Step 3 ：The number of times interest is compounded per year is denoted as \(n\), which is 4.
Step 4 ：We calculate the total amount owed for each year using the formula for compound interest: \(A = P(1 + \frac{r}{n})^{nt}\).
Step 5 ：We sum up the total amount owed for each of the four years.
Step 6 ：Finally, we find that the total amount that Obuor will owe the loan company after his four year study is approximately \(\boxed{29294.02}\) Ghc.
