please help with 8 and 9 given the formulas above

8. An annuity pays 10 annual payments of $2000 each starting January 1, 2009. Determine the discounted value of these payments on January 1, 2006, if ji=7%. Solution $12 269.34 9. A contract calls for payments of $250 a month for 10 years. At the beginning of the 5th year (just after the 48th payment is made) the contract is sold to a buyer at a price that will yield j12=9%. What does the buyer pay? Solution $13 869.21 Chapter 3 - Simple Annuities Ordinary Simple Annuity Deferred Annui Accumulated Value of Periodic Payment (1+i)" - 1R S S Sot A= Raul S = RS= R i SF (D)- (1 + i)" - 1 Discounted Value Periodic Payment Forborne Ann 1-(1 + i)" Term of an An A= R = R- m H1+1" 1-(1+i)" # of paymer logi Annuity Due - Accumulated Value log(1+ S=Rs:(1+i)=R. a= R. (S-1,-1)= R.S -R Linea Discounted Value A=R.ami (1+i)=R.ni = R. (am-, +1)= R. C-, +R R