InstructionsFor each Time Value of Money $($TVM$)$ problem, follow these steps:$1.$ Clearly write down each variable name, including its unit of measurement $($e$.$g$.,$ dollars, percent, years$)\mathrm{.}2.$ Perform the necessary calculations$\mathrm{.}3.$ Ensure that your answer includes the correct units.Questions$1.$ Mark is buying a car worth $$45,000.$ The dealership is offering two financing options:Option $1$: Get a $$4,000$ rebate and finance the balance over $4$ years at $5\%$ interest.Option $2$: Finance the full price over $5$ years at $0\%$ interest.a$)$ Calculate the monthly payment and total loan cost for Option $1.$b$)$ Calculate the monthly payment and total loan cost for Option $2.$c$)$ Which option should Mark choose?$2.$ Samantha is investing $$10,000$ in a startup project. She expects these cash flows: Year $1$: $$2,000$ Year $2$: $$3,500$ Year $3$: $$4,000$At the end of Year $3,$ Samantha is planning to sell the project for $$2,500.$ Required Rate of Return: $6\%$a$)$ Calculate her NPV$.$ Should she invest in the project based on NPV$?$b$)$ What is the present value of future cash flows?c$)$ What is the IRR for the project? Should she invest in the project based on IRR?$3.$ Ethan buys a house for $$600,000,$ makes a $20\%$ down payment, and finances the rest over $30$ years at $4\mathrm{.}5\%$ interest.a$)$ What is his monthly mortgage payment?b$)$ How much principal InstructionsFor each Time Value of Money $($TVM$)$ problem, follow these steps:$1.$ Clearly write down each variable name, including its unit of measurement $($e$.$g$.,$ dollars, percent, years$)\mathrm{.}2.$ Perform the necessary calculations$\mathrm{.}3.$ Ensure that your answer includes the correct units.Questions$1.$ Mark is buying a car worth $$45,000.$ The dealership is offering two financing options:Option $1$: Get a $$4,000$ rebate and finance the balance over $4$ years at $5\%$ interest.Option $2$: Finance the full price over $5$ years at $0\%$ interest.a$)$ Calculate the monthly payment and total loan cost for Option $1.$b$)$ Calculate the monthly payment and total loan cost for Option $2.$c$)$ Which option should Mark choose?$2.$ Samantha is investing $$10,000$ in a startup project. She expects these cash flows: Year $1$: $$2,000$ Year $2$: $$3,500$ Year $3$: $$4,000$At the end of Year $3,$ Samantha is planning to sell the project for $$2,500.$ Required Rate of Return: $6\%$a$)$ Calculate her NPV$.$ Should she invest in the project based on NPV$?$b$)$ What is the present value of future cash flows?c$)$ What is the IRR for the project? Should she invest in the project based on IRR?$3.$ Ethan buys a house for $$600,000,$ makes a $20\%$ down payment, and finances the rest over $30$ years at $4\mathrm{.}5\%$ interest.a$)$ What is his monthly mortgage payment?b$)$ How much principal