I need step by step help solving this with Financial calculator method:

Consider a $1,000 par value bond with a 7% annual coupon. There are 20 years remaining until maturity. You have expectations that in 5 years the YTM on a 15-year bond with similar risk will be 7.5%. You plan to purchase the bond now and hold it for 5 years. Your required return on this bond is 10%. How much would you be willing to pay for this bond today? (hint: find the expected bond value in 5 years)

a. $ 970

b. $ 962

c. $ 875

d. $ 924

e. $ 859