For each of these scenarios, indicate which direction the variable goes:

a$.$ If interest rate goes up and you have a set monthly budget for mortgage payments, you can afford a bigger$/$smaller house

b$.$ You found your dream home. If interest rate goes up$,$ your monthly payment goes up$/$down$.$

c$.$ If interest rate goes up$,$ the money you have in your savings account will be worth more$/$less in the future.

d$.$ If interest rate goes up$,$ you'd have to save more$/$less per month in order to buy a car worth $$20,000$ in $3$ years.

e$.$ If interest rate goes up$,$ you'll be able to withdraw more$/$less money per month for a fixed number of months.

f$.$ You gave $$100,000$ to the university for scholarships. If interest rate goes up$,$ the university would be able to offer more$/$less scholarship.

g$.$ You have a fixed monthly dollar amount that you'd like to use in your retirement $45$ years from now. If interest rate goes up$,$ you will have to save more$/$less per month today.

h$.$ Joe has saved $$1$ million and decides to retire today. He will be more certain that he has enough to spend during his retirement if interest rate goes up$/$down$.$

i$.$ You win $$5$ million in lottery today, and the lottery commission is offering you $$250K$ every year for $20$ years or a $$3$ million lump sum today. You are more$/$less likely to take the lump sum if market interest rates go up$.$

j$.$ If the cost of an annuity just went up$,$ that means the interest rate must have gone up$/$down$.$