Calculate how much you need to save every year while you are working so that you have enough to live comfortably in retirement. Assume that you need $$125,000$ per year in retirement which will be funded from your savings. While $$125,000$ may sound like a lot of money, be mindful that your retiryment is nearly $50$ years from now. So$,$ $$125,000$ in retirement is worth about $$45,000$ today. Assume that you will retire at age $70$ and live for another $30$ years. In addition, assume that you're $22$ years old now and will work until age $70.$

How much do you need to save each year while you're working to have enough in retirement? Assume that you invest your savings and eam a return of $9\%$ per year while you're working, but once you're retired, you have more conservative investments which earn a $7\%$ return. Must show work to receive credit.