1. You are considering the purchase of an apartment building with the following information: Purchase price Expected year 1 NOI Expected annual NOI growth Expected Exit Cap Rate Holding Period $12,500,000 $1,000,000 4% 8.5% 3 years Solve for each of the following: Initial (going in) cap rate Expected sales price end of year 3 Net Present Value at 9% Discount Rate IRR Would you buy this asset for $12,500,000? Why or why not?

Please show working Someone promises to pay you $1,000 in years 5, 10 and 15 for a total of $3,000.  Assume your required return is 8%. a. what is the duration of this promise to pay you $3,000 over 15 years? b. what's the convexity?  c. using the duration estimate alone, what is the estimated percentage price change in t=0 value if rates are expected to increase 2%?

You have the opportunity to invest in a project with the following cash flows.   Initial investment/Outlay today: $11,000. Cashflow back to you in 1 year $6000 Cashflow back to you in 2 years $5000 Scrap Value in 2 years $500 Assume interest rates are 5% in the 1 year and 7% in the 2 year. (tip: use the spreadsheet “NPV” from Moodle to helpin your calculations)   a. Calculate the NPV of the project (show formula/workings)? b. Should you invest in this project? Why ?

(Present-value comparison) You are offered $1,300 today, $6,000 in 10 years, or $26.000 in 23 years. Assuming that you can earn 9 percent on your money, which offer should you choose? a. What is the present value of $26,000 in 23 years discounted at 9 percent interest rate? (Round to the nearest cent) b. What is the present value of $6,000 in 10 years discounted at 9 percent interest rate? $(Round to the nearest cent) c. Which offer should you choose? (Select the best choice below) OA. Choose $6,000 in 10 years because its present value is the highest OB. Choose $1,300 today because its present value is the highest OC. Choose $26.000 in 23 years because its present value is the highest Com