you inherit $$10$k when you are $20.$ what is this worth when you are ready to retire at $65?$ assume that the money can be invested at $7\%,$ which is your interest rate for the time value of money. compare this with an insurance policy that could be purchased with a lump$-$sum payment of $$10$k$.$ that policy would pay you $$100$k at age $65$ and your survivors $$100$k if you die sooner. how much value per year must you put on protecting your survivors for these to be equivalent?