Exercise Assignment Instructions: Provide answers to each problem for each weekly exercise assignment. Include any calculations, equations, and$/$or formulas for each question in the problem. Show your work for each answer. PROBLEM $1$: Week $1$ and Week $2-$TVM Exercises Find the following values for a lump sum: $-$ The future value of $$400$ invested at $7$ percent for one year $`-$ The future value of $$400$ invested at $7$ percent for five years $-$ The present value of $$400$ to be received in one year when the opportunity cost rate is $7$ percent $-$ The present value of $$400$ to be received in five years when the opportunity cost rate is $7$ percent assuming: a$.$ Annual compounding b$.$ Semiannual compounding c$.$ Quarterly compounding PROBLEM $2$: Week $1$ and Week $2-$TVM Exercises Consider the following investment cash flows: Year Cash Flow $0-$$$1,1001$ $$2752$ $$3253$ $$4254$ $$5755$ $$650$ a$.$ What is the return expected on this investment measured in dollar terms if the opportunity cost rate is $10\%$ b$.$ Provide an explanation, in economic terms, of your answer. c$.$ What is the return on this investment measured in percentage terms? d$.$ Should this investment be made? Why?