acceptable price?

$(1)6\%$

$(2)10\%$

$(3)14\%$

b$.$ Rework part a under the assumption that the $$500,000$ payment will be received in $25$ rather than $15$ years.

c$.$ On the basis of your findings in parts a and $b,$ discuss the effect of both the size of the rate of return and the time until receipt of payment on the present value of a future sum.

a$.(1)$ The least you will sell your claim for if you can earn a rate of return of $6\%$ during the $15-$year period is : $($Round to the nearest cent.$)$

$(2)$ The least you will sell your claim for if you can earn a rate of return of $10\%$ during the $15-$year period is $ $$

$($Round to the nearest cent.$)$

$(3)$ The least you will sell your claim for if you can earn a rate of return of $14\%$ during the $15-$year period is: $($Round to the nearest cent.$)$

The values represent the $$ you would be willing to accept because they are based on required rates of return.

b$.(1)$ The least you will sell your claim for if you can earn a rate of return of $6\%$ during the $25-$year period is $ $.($Round to the nearest cent.$)q,($Round to the nearest cent.$)q,$

$.($Round to the nearest cent.$)$

$(2)$ The least you will sell your claim for if you can earn a rate of return of $10\%$ during the $25-$year period is $

$(3)$ The least you will sell your claim for if you can earn a rate of return of $14\%$ during the $25-$year period is $