Question 1:
How many years will it take for $197 million to grow to be $554 million if it is invested in an account with a quoted annual interest rate of 5 percent with monthly compounding of interest?
Question 2:
The pension plan also invests in physical assets. It is considering the purchase of an office building today with the expectation that the price will rise to $20 million at the end of 10 years. Given the risk of this investment, there should be a yield of 10 percent annually on this investment. The asking price for the lot is $12 million. What is the annual yield (internal rate of return) of the investment if the purchase price is $12 million today and the sale price 10 years later is $20 million? Should the pension plan buy the office building given its required rate of return?