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Required insurance for an up-front one-time premium payment

Problem:

The stock price of KLM is currently at $30 per share. Assume that over 3 months, it can either go up by 20% or down by 20% and that interest rates are at 6% p.a. A friend of yours owns 5,000 shares of KLM that is held in trust and which he cannot sell for another six months. As he is looking to put a down payment on a home he wants to buy in six months, he wants to protect the value of his holding from falling below $120,000 and has come to you for advice. It seems that a financial institution is willing to provide him with the required insurance for an up-front one-time premium payment of $4,500.

What should he do?

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## Q : Present value of an annuity and for a loan payment

Solve the problem in different ways: by using a spreadsheet; by using the formulas for the present value of an annuity and for a loan payment.