Billy Dan and Betty Lou were recently married and want to start saving for their dream home. They expect the house they want will cost approximately $232,000. They hope to be able to purchase the house for cash in 12 years. To determine the appropriate discount factor(s) using tables, click here to view Tables FV1, PV1, FVA1, or PVA1 in the appendix. Alternatively, if you calculate the discount factor(s) using a formula, round to six (6) decimal places before using the factor in the problem. Required a. How much will Billy Dan and Betty Lou have to invest each year to purchase their dream home at the end of 12 years? Assume an interest rate of 5 percent. (Round your answer to the nearest dollar amount.)

b. Billy Dans parents want to give the couple a substantial wedding gift for the purchase of their future home. How much must Billy Dans parents give them now if they are to reach the desired amount of $232,000 in 14 years? Assume an interest rate of 5 percent. (Round your answer to the nearest dollar amount.)