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Jumin is a first generation college student. His family came to the US from South Korea when he was young and they don't have a

Jumin is a first generation college student. His family came to the US from South Korea when he was young and they don't have a lot of money. He just started his last year of college. He financed his education in part via student loans, and table 1 outlines his borrowing for each year of his undergraduate studies.
Recall that subsidized student loans maintain their nominal value while you are a student because the US government pays the interest. Once you graduate, you are responsible for the principal and any interest. Unsubsidized loans accrue interest from the moment they are taken out until they have been paid off.
Assume the interest rate for all student loans is 5% compounded daily.
Table 1
Year Total Borrowed Subsidized Unsubsidized Annual Rate 0.05
Freshman $ 5,500 $ 3,500 $ 2,000 n
Sophomore $ 6,500 $ 4,500 $ 2,000 Daily Rate
Junior $ 7,500 $ 5,500 $ 2,000 Effective Annual Rate
Senior $ 7,500 $ 5,500 $ 2,000
Q1 Calculate the total, subsidized and unsubsidized amount Jumin will owe upon graduation.
Owed
Total Borrowed Subsidized Unsubsidized
Q2 Calculate Jumin's monthly payments for the student debt if he pays it back in 10, 12, or 15 years.
Period 10 12 15 years
Monthly Payment
Q3 Jumin opts for the 10-yr plan. He also has two job offers. At either job he expects to work for 10 years before seeking other employment. Company A offers a starting salary of $4,000 per month. Company B offers a starting salary of $3,800 per month, but also has a student loan forgiveness program where if he works at Company B for 6 years, the balance of his student loans will be paid off by the Company. Which job is more financially valuable if Jumin's best interest rate he can get is an 8% nominal rate?
Note that Jumin will have to pay the monthly payments until the loan is paid off or he may be subject to negative credit events and reposession of property. So he plans on faithfully making his payments on-time and for the full amount required.
I
0.08
Value of Job A
Value of Job B
Explanation
Value of Job A
Value of Job B
Explanation

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