Q:

Janet Spears is planning to retire in 7 years and plans to start saving $15,000 a year beginning at the end of this year until the date she retires. She currently has $280,000 at the bank. Once she retires, she plans to start redeeming $21,000 each year for 26 years. If she can expect to earn 9% before her retirement and 7.5% after her retirement, which of the following answers would best describe her situation?
a) On her retirement date, she'll have a surplus of $412,568.
b) On her retirement date, she'll have a surplus of $35,245.
c) On her retirement date, she'll have a surplus of $142,895.
d) On her retirement date, she'll have a deficit of $35,245.

A:

The correct answer is: a)
Step 1: How much will she have accumulated her wealth by the time she retires?

PV = 280,000; PMT = 15,000; N = 7; I = 9%

Therefore, FV = 649.875

Step 2: How much will she need by her retirement date in order to finance her retirement
income?

PMT = 21,000; N = 26; I = 7.5%

Therefore, PV = 237,289

Step 3: Surplus/Shortfall at retirement

= (what she'll have) - (what she'll need)

= 649,857 - 237,289

Surplus = 412,568


2005 CFA Level 1 LOS: 2.1.A.a-2.1.A.c


RELATED FAQS

  1. A 7-year, 6% coupon callable bond is currently trading at 96.25.  The ...

    Free info on financial certification exams including study guides, exam questions, and much more!
  2. According to SEC Release IA-1092, which of the following would NOT qualify as an ...

    The correct answer is C). SEC Release IA-1092 considers financial planners, pension consultants and sports and entertainment ...
  3. Your client, Todd, owns 100 shares HAT stock in his taxable stock portfolio ...

    The correct answer is a): Since Todd owns the stock and expects another stagnant year ahead, he would employ a covered call ...
  4. An individual has started investments of $100/month into a spread-load ...

    The correct answer is b. When a periodic payment (or contractural) plan company is organized as a spread-load company, it ...
RELATED TERMS
  1. No results found.

You May Also Like

Related Articles
  1. No results found.
Trading Center
×

You are using adblocking software

Want access to all of Investopedia? Add us to your “whitelist”
so you'll never miss a feature!