part b of borh questions

Today, an investrnent you made throe years sgo has matured and is now worth $3400. lt was a three -year deposit that bore an internst cate of 8 percent per year, compounded monthly, You knew at the time that you were taking a risk in making such an imvestment bocause interest rates vary over bme and you "locked in" at 8 percent for three years. Looking back aver the past three years, inteeest rains for simiar one-year imvestments did indeed vary, The interest rates were 4 percent in the first year, 8 percent in the second year, and 10 percent in the third, at of which compound monthly. Answer parts (a) and (b) below. a. Detertine the value of the investinent for the three-year period using the fixed interest rate and the varying interest rate. Note that Year 0 is the intial deposit. b. Did you lose out by locking inte the b percent investment? It so, by how much? Than the investment with the foed rate. Sa; you L_ lose out by boling into the o percent investment: If you had unnested using the variable internst rates you would have made 1 (Round the final anewer to the nearest whicie number as needed. Round all imermedaale values to six decimal places as neded. Use a spreadsheet to determine how long it will take for a $100 deposit to triple in value for each of the following intecestrates and compounding poriods. For each, determine the size of the depost over time, for as many periods as necessary for the origral sum to double. a. It will take morths for a $100 deposit to double in value with an interest rase of 8 percent per year, compounded monthyy (Round up to the nearest whole number) b. It will take six-menth periods for a $100 depost to double in value with an interest rate of 11 percent per year, coripounded semiarnally. (Round up to the nearest athole number.)