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You buy perpetuity that starts its annual payment of $100 in 5 years from now. The EAR is 5%. a. What is the present value

You buy perpetuity that starts its annual payment of $100 in 5 years from now. The EAR is 5%.

a. What is the present value of the perpetuity?

b Now suppose that the annual payment grows at 3% per annum (all the other conditions are the same as above). What is the present value of this growing perpetuity?

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