You$$ve decided to buy a house that is valued at $$1$ million. You have $$100,000$ to use as a down payment on the house, and want to take out a mortgage for the remainder of the purchase price. Your bank has approved your $$900,000$ mortgage, and is offering a standard $30-$year mortgage at a $12\%$ fixed nominal interest rate $($called the loan$$s annual percentage rate or APR$).$ Under this loan proposal, your mortgage payment will be per month. $($Note: Round the final value of any interest rate used to four decimal places.$)11.$ TI Calculator Graded Problem Set

You are evaluating a proposed project for your company. The project is expected to generate the following end$-$of$-$year cash flows:

You have been told you should evaluate this project with an interest rate of $9\%.$ What is the project's NPV$?$

$$185\mathrm{.}79$

$$151\mathrm{.}80$

$$219\mathrm{.}77$

$$51\mathrm{.}43$

$$235\mathrm{.}97$

Your group leader has now told you that the risk of the project was understated before. As a result, she tells you to recalculate the project$$s NPV with an $11\%$ interest rate. What is the new NPV$?$

$-$$$28\mathrm{.}59$

$-$$$22\mathrm{.}97$

$-$$$66\mathrm{.}36$

$-$$$190\mathrm{.}92$

$-$$$104\mathrm{.}13$

When the project was first evaluated at $9\%,$ you would have advised that the company accept the project because it added value for the company. But now with an $11\%$ interest rate, you will advise the company to reject the project because it loses value for the company.

Calculate the project$$s internal rate of return $($IRR$).$

$14\mathrm{.}76\%$

$10\mathrm{.}81\%$

$10\mathrm{.}16\%$

$9\mathrm{.}41\%$

$12\mathrm{.}45\%$ You are evaluating a proposed project for your company. The project is expected to generate the following end$-$of$-$year cash flows:

You have been told you should evaluate this project with an interest rate of $9\%.$ What is the project's NPV$?$

$$185\mathrm{.}79$

$$151\mathrm{.}80$

$$219\mathrm{.}77$

$$51\mathrm{.}43$

$$235\mathrm{.}97$

Your group leader has now told you that the risk of the project was understated before. As a result, she tells you to recalculate the project$$s NPV with an $11\%$ interest rate. What is the new NPV$?$

$-$$$28\mathrm{.}59$

$-$$$22\mathrm{.}97$

$-$$$66\mathrm{.}36$

$-$$$190\mathrm{.}92$

$-$$$104\mathrm{.}13$

When the project was first evaluated at $9\%,$ you would have advised that the company the project because it value for the company. But now with an $11\%$ interest rate, you will advise the company to the project because it value for the company.

Calculate the project$$s internal rate of return $($IRR$).$

$14\mathrm{.}76\%$

$10\mathrm{.}81\%$

$10\mathrm{.}16\%$

$9\mathrm{.}41\%$

$12\mathrm{.}45\%$ Your group leader has now told you that the risk of the project was understated before. As a result, she tells you to recalculate the project$$s NPV with an $11\%$ interest rate. What is the new NPV$?$

$-$$$28\mathrm{.}59$

$-$$$22\mathrm{.}97$

$-$$$66\mathrm{.}36$

$-$$$190\mathrm{.}92$

$-$$$104\mathrm{.}13$ You are evaluating a proposed project for your company. The project is expected to generate the following end$-$of$-$year cash flows:

You have been told you should evaluate this project with an interest rate of $9\%.$ What is the project's NPV$?$

$$185\mathrm{.}79$

$$151\mathrm{.}80$

$$219\mathrm{.}77$

$$51\mathrm{.}43$

$$235\mathrm{.}97$ You have been told you should evaluate this project with an interest rate of $9\%.$ What is the project's NPV$?$

$$185\mathrm{.}79$

$$151\mathrm{.}80$

$$219\mathrm{.}77$

$$51\mathrm{.}43$

$$235\mathrm{.}97$A bank just approved your small business loan for $ $20,000.$ The loan has an interest rate of $8\mathrm{.}0\%$ and will be repaid with $10$ end$-$of$-$year payments. What is the required annual loan payment?

$[$ $ $3,981\mathrm{.}65$; $ $2,980\mathrm{.}59$; $ $3,396\mathrm{.}03$; $ $3,254\mathrm{.}91$; $ $44,373\mathrm{.}14]$

Halfway through the loan's life, what is the loan's remaining balance?

$[$ $ $11,901$; $ $15,288$; $ $16,551$; $ $17,342$; $ $13,339]$

What percentage of the total payments made during the first five years will be made toward interest?

$51\mathrm{.}22\%$

$[39\mathrm{.}34\%$; $45\mathrm{.}66\%$; $52\mathrm{.}93\%]$

$56\mathrm{.}13\%$