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Jason has a loan that requires a single payment of $5,200 at the end of 3...

Jason has a loan that requires a single payment of $5,200 at the end of 3 years. The loan's interest rate is 6%, compounded semiannually. How much did Jason borrow? please cancel question

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Answer #1

Answer:

Present value of the future cash flows = Future cash flows x Present value factor (6 years, 3%)*

Present value of the future cash flows = $5,200 x 0.83748**

Present value of the future cash flows = $4,355

Hence, Jason should borrow $4,355 that requires a single payment of $5,200 at the end of 3 years

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Notes:

* Given that, compounded semi-annually. So that, Interest rate for half-year = 6%/2 = 3% and Number of times compounded = 3 years x 2 times = 6 times. Hence, present value factor taken at 3% for 6 years.

** Present value factor taken from 'Present values table'.

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