Payments with periodic rates. Denise has her heart set on being a millionaire. What payment does Denise need to make at the end of each quarter over the coming $38$ years at $6\%$ APR to reach her retirement goal of $$1\mathrm{.}1$ million? What quarterly payment does Denise need to make to reach her retirement goal?

$($Click on the following icon in order to copy its contents into a$$ spreadsheet.$)$

Year$1$:

$$$$14$ comma $000$

Year$2$:

$$$$22$ comma $000$

Year$3$:

$$$$28$ comma $000$

Years $4$ through$6$:

$$$$0$

Year$7$:

$$$$140$ comma $000$

Different cash flow.$$Given the following cash inflow at the end of each$$ year, LOADING...$,$ what is the future value of this cash flow at $6\%,10\%,$ and $18\%$ interest rates at the end of year$7?$

Perpetuities.$$The Canadian Government has once again decided to issue a consol$($a bond with a$$ never$-$ending interest payment and no maturity$$ date$).$ The bond will pay $$$$80$ in interest each year$($at the end of the$$ year$),$ but it will never return the principal. The current discount rate for Canadian government bonds is $4\mathrm{.}5\%.$ What should this consol bond sell for in the$$ market? What if the interest rate should fall to $3\mathrm{.}5\%?$ Rise to $5\mathrm{.}5\%?$ Why does the price go up when interest rates$$ fall? Why does the price go down when interest rates$$ rise?

Question content area bottom

Part $1$

If the current discount rate for Canadian government bonds is $4\mathrm{.}5\%,$ what should this bond sell for in the$$ market?

$$$

$$

$1777\mathrm{.}78($Round to the nearest$$ cent.$)$

Part $2$

If the interest rate falls to $3\mathrm{.}5\%,$ what should this bond sell for in the$$ market?

$$$

$$

enter your response here$($Round to the nearest$$ cent.$)$