# September 2023 Question Problem 1 Fill in the table below for each of the following

2024 FIN 7000 Problem Set 2 37557 Assignment Help

Question Problem 1 Fill in the table below for each of the following 2023

Question Problem 1: Fill in the table below for each of the following interest rates: Compounding PV of $1000 Case Stated Annual Rate Periods Per Year Effective Annual Rate at t = 2 1 .12 1 2 .12 2 3 .12 4 4 .12 12 5 .12 24 6 .12 infinity Problem 2: The effective annual rate is 3% (i.e., r e = .03). What is the stated rate for compounding semi-annually that is associated with this effective rate?That is, solve for r s such that 1+r e = (1+(r s /2)) 2 given r e = .03. Problem 3: Consider the following information on a yield curve (where t = 0 is now) Time (in years) to Maturity (TTM) Effective Annual Rate .01 .015 .02 .0225 .0235 Part 1: Using this yield curve, calculate the present value of the following payment streams: $100 at t = 1, $100 at t = 2, $100 at t = 3, $100 at t = 4, $100 at t = 5, $100 at t = 1 and $100 at t = 4 $200 at t = 2 and $200 at t = 5 Part 2: Also using the above yield curve, calculate the forward rate for the one-year yield next year at t = 1. If you take your answer to b above divided by your answer to a above and then subtract 1, do you get the same answer? Part 3: Consider the following two strategies for getting a return over three years: Strategy 1: Invest for three years at the three year rate; Strategy 2: invest at the two-year rate for two years and then roll over into the one-year rate in two years. You can calculate a forward rate for the one-year rate in two years (at t = 2) by considering the one-year rate in two years that would make you indifferent between Strategy 1 and Strategy 2. What is that forward rate?