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Problem 5.25 (Future Value of an Annuity) nd the future values of the following ordinary annuities: a. PV of $300 paid each 6 months for 5 years at a nominal rate of 13% compounded semiannually. Do not round Intermediate calculations. Round your answer to the near cent $ b. PV of $150 paid each 3 months for 5 years at a nominal rate of 13% compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent $ c. These annuities receive the same amount of cash during the 5-year period and earn interest at the same nominal rate, yet the annuity in part b ends up larger than the one in part a. Why does this occur? The nominal deposits into the audity in partea are greater than the nominal deposits into the annuity in part (1) The annuity in part() is compounded less frequently, therefore, more interest is earned on previously earned interest The annuty is part is compounded more frequently, therefore, more interest is earned on previously earned interest The awulty in part is compounded less frequently, therefore, more interest is earned on previously-earned interest The annuity in part is compounded more frequently, therefore, more interest is earned on previously-earned interest. You borrow $205,000; the annual loan payments are $19,953.95 for 30 years. What interest rate are you being charged? Round your answer to the nearest whole number. %