A company has liabilities of 402.11 due at the end of each of the next three years. The company will invest 1000 today to fund these payouts. The only investments available are one-year and three-year zero-coupon bonds, and the yield curve is flat at a 10% annual effective rate. The company wishes to match the duration of its assets to the duration of its liabilities. Determine how much the company should invest in each bond.

Secured loans are protected by collateral security. examples: title loans where the borrower uses the car title as collateral security interest rates are lower and repayments are longer therefore risk is low as a collateral security is given as guarantee to the bank in case of failure to pay the loanunsecured loans are not protected by collateral security but it is given on the creditworthiness of the borrower, trusting that she/he will pay on time. examples; payday loans is a short term loan where the borrower lends money from the bank and pays is back when the borrower receives his/her wages.interest rates are high and repayments are shorter. but the risk is high as no collateral security is given as a guarantee to the bank for payment of the loan