On March 28, 2008, Daniela Motor Financing (DMF), offered some securities for sale to the public. Under the terms of the deal, DMF promised to repay the owner of one of these securities $100,000 on March 28, 2038, but investors would receive nothing until then. Investors paid DMF $25,799 for each of these securities; so they gave up $25,799 on March 28, 2008, for the promise of a $100,000 payment 30 years later.
Required:
(a) Based on the $25,799 price, what rate was DMF paying to borrow money? (Do not include the percent sign (%). Enter rounded answer as directed, but do not use the rounded numbers in intermediate calculations. Round your answer to 2 decimal places (e.g., 32.16).)
Rate %
(b) Suppose that, on March 8, 2023, this security's price is $41,283. If an investor had purchased it for $25,799 at the offering and sold it on this day, what annual rate of return would she have earned? (Do not include the percent sign (%). Enter rounded answer as directed, but do not use the rounded numbers in intermediate calculations. Round your answer to 2 decimal places (e.g., 32.16).)
Rate of return %
(c) If an investor had purchased the security at market on March 8, 2023, and held it until it matured, what annual rate of return would she have earned? (Do not include the percent sign (%). Enter rounded answer as directed, but do not use the rounded numbers in intermediate calculations. Round your answer to 2 decimal places (e.g., 32.16).)