please solve these two problems without using excel and show all steps.

Question No.11 Using the following table of spot rates, calculate the total value at time 5 of the following three cash flows: 2,000 at time 0 2,000 at time 2 2,000 at time 4 Assume that the cash flows at time 2 and at time 4 are invested at today's forward rates. Term (years) 1 2 3 4 5 Spot rate 6.00% 6.10% 6.40% 6.80% 7.50% A. 7,629 B. 7,729 C. 7,829 D. 7,929 E. 8,029 Question No.12 A deposit of 1,000 is made to a fund at time 0. The fund grows at a force of interest 8 The amount of interest earned from time 1 to time 5 is 500. Find k. +k A. 6 B. 7 C. 8 D. 9 E. 10 Question No.11 Using the following table of spot rates, calculate the total value at time 5 of the following three cash flows: 2,000 at time 0 2,000 at time 2 2,000 at time 4 Assume that the cash flows at time 2 and at time 4 are invested at today's forward rates. Term (years) 1 2 3 4 5 Spot rate 6.00% 6.10% 6.40% 6.80% 7.50% A. 7,629 B. 7,729 C. 7,829 D. 7,929 E. 8,029 Question No.12 A deposit of 1,000 is made to a fund at time 0. The fund grows at a force of interest 8 The amount of interest earned from time 1 to time 5 is 500. Find k. +k A. 6 B. 7 C. 8 D. 9 E. 10