**FIN 1035: RETIREMENT PLANNING**

**Practice Questions**

**Factors Affecting Retirement Planning**

**Time Value of Money (“TVM”)**

**Calculations**

**CPT**** – Compute key used to initiate financial calculation once all values are known and inputted.**

**N**** – Number of periods.**

**I/Y**** – Interest rate per period (consistent with N above).**

**P/Y**** – Number of payments per period (ie. annual, semi-annual, quarter, month, etc.)**

**C/Y**** – Compounding period (ie. annual, semi-annual, quarter, month, etc.)**

**PV**** – Present value (ie current value in today’s dollars equivalent to some future amount or income stream).**

**PMT**** – Amount of regular payment, either income or expense (only applicable for annuity questions).**

**FV**** – Future value (ie amount of money at some point in the future that is equivalent in today’s dollars to a current amount of money or income stream into the future).**

__Factor #1: Longevity__

No Applicable Financial Calculations

__Factor #2: Inflation__

**Andre’s financial advisor told him that, to meet his retirement goals, he must earn a “real” rate of return each year of 4%. In the year just ended, inflation jumped unexpectedly to 3.5%. Andre’s tax-sheltered retirement funds earned 7%. Andre thought he has exceeded his required rate of return. What is Andre’s “real” rate of return?****Andrea plans to save $5,000 a year for 4 years. Money will be put aside at the beginning of the year. She is only 49 years old, so she is willing to take some risk, but not a lot. Thus, she expects she can earn a nominal rate of return of 9%, when inflation is 3%. What will be the future value of her investment plan in 4 years?****(Note – Income**__Indexed__to Inflation) Janine wants to estimate the value of her CPP retirement income of $9,300 at retirement in 5 years. CPP payments are indexed to inflation. To discount, she will use a long-term Government of Canada bond rate of 7% at a time when inflation is 3%?**(Note – Income**__Not-Indexed__to Inflation) Janine also has a pension plan that will pay her $9,300 at the beginning of each year. However, this pension payment is__not__indexed to inflation (ie. the payments are in nominal dollars). Assuming the same 5 years until retirement, what is the value of these pension payments now. To discount, she will use the same long-term Government of Canada bond rate of 7% and inflation is still 3%?

__Factor #3: Rates of Return__

**(Scenario #1 – Given a**__nominal__rate of return__before__tax, calculate the__nominal__rate of return__after__tax – both interest income and also capital gains earned).

**Oliva has received 6% interest on a Guaranteed Investment Certificate (GIC) after 1 year. Her marginal tax rate is 48%. What is her after-tax rate of return? **

**Oliva also owns some shares in a publicly traded company. Coincidentally, she received a 6% rate of return on her investment in these shares after 1 year. Her marginal tax rate is 48%. What is her after-tax rate of return?**

**(Scenario #2 – Given a**__nominal__rate of return__before__tax, calculate the__real__rate of return__after__tax – both interest income and also capital gains earned).

**What is Oliva’s “real”, after-tax, rate of return if inflation is 3%? **

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