Week 3Fifteen years ago, you deposited $12,500 into an investment fund. Five years ago, you added anadditional $20,000 to that account. You earned 8%, compounded semi-annually, for the first ten years,and 6.5%, compounded annually, for the last five years.Required: c) If you wish to have $85,000 now, how much should you have invested 15 years ago?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Week 3
Fifteen years ago, you deposited $12,500 into an investment fund. Five years ago, you added an
additional $20,000 to that account. You earned 8%, compounded semi-annually, for the first ten years,
and 6.5%, compounded annually, for the last five years.
Required:

c) If you wish to have $85,000 now, how much should you have invested 15 years ago?

Expert Solution
Step 1 What is present value?

The present value of the annuity is the current worth of a cash flow series at a certain rate of interest and time period.

Present value=cash flow×1+rk-k×n

 

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