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Suppose that you go to your local bank and tell the manager that you want to borrow $10,000 in three months and want to repay

Suppose that you go to your local bank and tell the manager that you want to borrow $10,000 in three months and want to repay the loan with a single payment nine months later. The current interest rates suggested by the bank are as followings (The lending rate and borrowing rate are the same)

Term Interest Rate
3 months 3.00%
6 months 3.50%
9 months 4.00%
1 year 4.50%

Based on these quoted rates, what forward rate can you lock in today on a nine-month loan beginning in the three months?

(The format of your answer should be XX.XX % )

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