Question
55. a) You pay $300 today. Thereafter, 1 year from today, youll begin to receive a perpetuity. The first perpetuity payment will be $9.00. Subsequent
55. a) You pay $300 today. Thereafter, 1 year from today, youll begin to receive a perpetuity. The first perpetuity payment will be $9.00. Subsequent perpetuity payments will decline each year by 1% per year. After drawing the CF timeline, can you determine the IRR in your head in under 5 seconds? Once you have an answer, use algebra to confirm that you were correct (i.e. write down the NPV = 0 equation, and solve for r). If you did that correctly, then you should have an equation of the form r = A/P + g (which I said comes in handy earlier). Enter the IRR as a percent, not as a decimal.
b)Using your answer for the IRR for Part E, do you believe that the simple sum of the inflows associated with the perpetuity is:
c)You pay $1000 for a newly issued bond today (i.e. you loan someone $1000 today). In return, as the owner of the bond you receive $123 at 1, 2, 3, 4, and 5 years from today. In addition, you also receive $1000 at the end of the 5th year.
d) Using no algebra (just timeline pattern recognition as discussed in the book), what is the effective annualized IRR of the bond?. Enter the IRR as a percent, not as a decimal, with at least 4 significant digits.
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