Answer rate questions in percentage form. Round to $2$ decimal places.

$1.$ What is the Present value of the following uneven cash flow stream: $0$$ at time $0,$ $$100$ at time $1,$ $$200$ at time $2,$ $$0$ at time $3,$ and $$400$ at time $4$ if the interest rate is $8\%?$

$2.$ What is the future value of this cash flow stream: $$100$ at the end of year $1,$ $$150$ at the end of year $2,$ and $$300$ at the end of year $3,$ if the appropriate interest rate is $15\%?$

$3.$ An investment costs $$465$ and is expected to produce cash flows of $$100$ at the end of year $1,$ $$200$ at the end of year $2,$ and $$300$ at the end of year $3.$ What is the expected rate of return on this investment?

$4.$ What is the future value of $$100$ after $3$ years if the appropriate interest rate is $8\%$ compounded monthly?

$5.$ What is the present value of $$100$ due in $3$ years if the appropriate interest rate is $8\%$ compounded monthly?

$6.$ Suppose you borrowed $$30,000$ on a student loan at a rate of $8\%$ and must repay it in three equal installments at the end of each of the next $3$ years. How large would your payments be$?$

$7.$ Suppose you borrowed $$30,000$ on a student loan at a rate of $8\%$ and must repay it in three equal installments at the end of each of the next $3$ years. How much of the first payment would represent interest?

$8.$ Suppose you borrowed $$30,000$ on a student loan at a rate of $8\%$ and must repay it in three equal installments at the end of each of the next $3$ years. How much of the first payment would represent principal?

$9.$ Suppose you borrowed $$30,000$ on a student loan at a rate of $8\%$ and must repay it in three equal installments at the end of each of the next $3$ years. What would your ending balance be after the first year?

$10.$ Suppose you borrowed $$20,000$ on a car loan at an annual rate of $5\%$ and must repay it in three equal installments at the end of each of the next $3$ years. How much of your SECOND payment goes towards the outstanding principal balance?

$11.$ Assume you plan to buy a condo $10$ years from now, and you estimate that you can save $$1,500$ per year. You plan to deposit the money in a bank account that pays $6\%$ interest. How much will you have after $8$ years if you begin making payments immediately?