Answered: vealth of its sh ent in the long pays…

FINANCIAL ACCOUNTING

10th Edition

ISBN:9781259964947

Author:Libby

Publisher:Libby

Chapter1: Financial Statements And Business Decisions

Section: Chapter Questions

Problem 1Q

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Transcribed Image Text:1. Suppose there is a mutual fund and each consumer buys | a share in it for her endowment at t = 0. The mutual fund maximises the wealth of its shareholders when choosing IF, the investment in the long term technology. At t =1, the mutual fund pays dividend d to each of its shareholders. At t = 1, the shares can be traded at price p*. a. Set up the mutual fund's optimisation problem and derive and interpret the first order condition. What happens when R increases and why? b. What is the optimal consumption profile cf , c and the optimal investment IF? | c. Calculate (i.e. derive an expression for) d and p. 2. Now suppose there is no financial intermediary to handle liquidity shocks. However, at t = 1 a market for bonds opens up and agents can trade their wealth at t = 1 for | wealth at t 2. Each bond pays 1 at t = 2 and its price is pM. Calculate the consumer's optimal investment decision IM at t = 0 , the price of the bond pM, and the optimal consumption in the two states cM, cM. 3. Compare the mutual fund and bond market allocations: are c and c bigger or smaller than cf and c, respectively?

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