Came across this question, I’m not sure why you need to add the forwards each time to get the value. Can someone please explain it? Also, is there a way to do this all in the calculator?

Using the forward rates, the value of a 2 1/2 year $100 par bond w/ 5% coupon is?

Per Yrs. Fwd Rate

1 0.5 1.20%

2 1 1.80%

3 1.5 2.30%

4 2 2.70%

5 2.5 3.00%