A rainbow is a cash-flow stream which pays $1 at time 1 and 2n; $2 at time
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Question:
(a) With the use of a time diagram, argue that the current value at time n of a rainbow is sna¨n.
(b) By using the formula x + y ≥ 2 √xy for x, y ≥ 0, show that vk + (1 + i)k ≥ 2 for any positive integer k.
(c) Hence or otherwise, show that sna¨n ≥ n2. When does the equality hold? What is the significance of this result?
Related Book For
Fixed Income Securities Valuation Risk and Risk Management
ISBN: 978-0470109106
1st edition
Authors: Pietro Veronesi
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