Hello! I need help with these four problems: $1.$ You are about to graduate with your MBA from an excellent institution of higher education. You have a good paying job lined up to start on June $1$ of the current year. That job will be paying you $$93,000$ annually on a pretax basis. You did your tax analysis and expect your effective tax rate on that salary to be about $20\%.$ You$$re so excited by your expected income that you decide to purchase a brand new car as a graduation gift to yourself. As you$$re shopping for a new car, you: A$.$ Noticed that your credit score is excellent $($super$-$prime$)$ as of April $1,2024$ and you can obtain a car loan at about $5\mathrm{.}00\%$ annual interest rate. B$.$ Remembered that you should not spend more $10\%$ of your monthly post tax income on your car. Questions: $1.$ How much money can you spend per month on your car payment? $2.$ You decided to finance your car for $3$ years $(36$ months$).$ What is the purchase price of a car you can afford given your budget constraint from question $1$ of this problem? $3.$ Calculate the repayment schedule on this loan. $[$Use of on$-$line financial calculators for your re$-$payment schedule will be considered plagiarism and the entire assignment will be receive $0($zero$)$ points.$]4.$ How much money will you pay in interest over the duration of this loan? What is the effective interest rate paid by you? $($Hint: Divide total interest by the purchase price$).5.$ How will your answers to questions $2,3,$ and $4$ will change if you decided on a $4-$year loan $(48$ months$)?6.$ How will your answers to questions $2,3,$ and $4$ will change if you decided on a $5-$year loan $(60$ months$)?2.$ The Happy$-$Campers$-$Finance$-$Club $($HCFC$)$ borrows $$250,000$ on an unsecured note at $12\mathrm{.}00$ percent annual interest for nine months. How much does it pay at the end of the nine months? Your answers should be in complete sentences. Please specify the amount of interest and amount of principal repayment. $3.$ You are about to graduate with your MBA from an excellent institution of higher education. You have a good$-$paying job lined up to start on June $1$ of the current year. That job will be paying you $$84,000$ annually on a pretax basis. You did your tax analysis and expect your effective tax rate on that salary to be about $20\%.$ Then you remembered your MBA $509$ class. Your instructor of record suggested that you should automate your monthly contribution into a mutual fund and an ETF fund at $7\mathrm{.}5\%$ of your post$-$tax monthly paycheck. You decide to do so by investing in a fund that $($a$)$ mirrors S&P $500$ and $($b$)$ is expected to provide annual return of approximately $10\mathrm{.}49\%$ annually. This contribution is on top of your regular $401($k$)$ IRA plan. Questions: $1.$ Based on your current age, how much money would you have in your brokerage account by the time you$$re $67$ years old? $2.$ How much money would you contribute directly into your brokerage account by the time you$$re $67$ years old? $3.$ How much money would you earn from compounding interest by your $67$th birthday? $4.$ Please develop a contribution schedule$/$plan by months starting with your current age and until your age of $67$ years old. $5.$ Hypothetically, imagine you$$re $45$ years old and you have $$55,000$ in that account. Are you on track to achieve your goal from question $1$ of this problem $($are you within $$$$1,000$ of the expected ending account balance identified in question $1$ of this problem$)?$ What should you do if you want to catch$-$up and achieve your goal from question $1$ of this problem? Show your calculations. $4.$ City of FinanceBurg $($State of BudgetLand$)$ is selling $125,000$ bonds to raise capital for its infrastructure improvement projects. Each bond has a face value of $$5,000,$ annual coupon rate of $10\%,$ maturity of $20$ years, and annual coupon payments. Question $1$: Because the access to the credit resources was extremely easy, the market interest rate for bonds with similar risk profile was about $4\mathrm{.}50\%.$ How much would the city of FinanceBurg receive for each bond if it issued bond at that time? Question $2$: For various reasons FinanceBurg officials did not issue bonds at the time when market interest rate was $4\mathrm{.}50\%.$ Due to a severe downturn in the economy, the market interest rate for bonds with the risk profile similar to these that would be issued by FinanceBurg is now $12\mathrm{.}00\%.$ How much would the city of FinanceBurg receive for each bond if it issued bond at that time? Question $3$: If all bonds were sold, how much capital will FinanceBurg have available to expand its infrastructure? Answer this question for both $$a$$ and $$b$$ parts of this problem. Question $4$: How would your answers to questions $1,2,$ and $3$ change if the city officials decided to issue zero$-$coupon bonds instead of originally planned bonds?