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Let the interest rate be 10 percent (r = .10) at all maturities.
Calculate the present value of a growing perpetuity that makes one payment per year with the first payment, made in exactly one year from now, being $1000. Let the payments grow at an annual rate of 10.5 percent (g = .105).
Hint: Consider the trend in the present values as the growth rate increases by comparing your answers to a through c. If you use the standard growing perpetuity formula when g > r, you get a silly answer. Using your intuition from your answers to a through d, what is the real answer?
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