# Question - How is interest rate sensitivity measured?

Answered by: Timothy Butler  |  Category: General  |  Last Updated: 26-06-2022  |  Views: 1379  |  Total Questions: 14

Interest rate sensitivity is a measure of how much the price of a fixed-income asset will fluctuate as a result of changes in the interest rate environment. Securities that are more sensitive have greater price fluctuations than those with less sensitivity. There is 1 bps per percent. Write the formula to compute interest-rate risk: (Original price - new price)/new price. Calculate: (110 - 113)/113 = -0. 027. This interest rate risk is a decrease of 2. 7 percent. Rate sensitive assets are bank assets, mainly bonds, loans and leases, and the value of these assets is sensitive to changes in interest rates; these assets are either repriced or revalued as interest rates change. The formula is complicated, but what it boils down to is: Duration = Present value of a bond's cash flows, weighted by length of time to receipt and divided by the bond's current market value. As an example, let's calculate the duration of a three-year, \$1, 000 Company XYZ bond with a semiannual 10% coupon. Duration measures how long it takes, in years, for an investor to be repaid the bond's price by the bond's total cash flows. At the same time, duration is a measure of sensitivity of a bond's or fixed income portfolio's price to changes in interest rates.

### What is the relevance of duration measurement in interest rate sensitivity?

https://www.investopedia.com/terms/i/interest-rate-sensitivity.asp

Duration is a good measure of interest rate sensitivity because the calculation includes multiple bond characteristics, such as coupon payments and maturity. Generally, the longer the maturity of the asset, the more sensitive the asset to changes in interest rates.

### What are the two components of interest rate risk?

The two components of interest rate risk are the term structure risk (aka options or repricing risk) and the volatility risk. The term structure risk is risk from changes in the fixed income term structure.

### Why are long term bonds more sensitive to interest rates?

There are two primary reasons why long-term bonds are subject to greater interest rate risk than short-term bonds: There is a greater probability that interest rates will rise (and thus negatively affect a bond's market price) within a longer time period than within a shorter period.

### What is the difference between coupon rate and interest rate?

https://www.wallstreetmojo.com/coupon-rate-vs-interest-rate/

The coupon rate is calculated on the face value of the bond which is being invested. The interest rate is calculated considering on the basis of the riskiness of lending the amount to the borrower. The coupon rate is decided by the issuer of the bonds to the purchaser. The interest rate is decided by the lender.

### How do you reduce interest rate risk?

https://www.investopedia.com/terms/i/interestraterisk.asp

Investors can reduce interest rate risk by buying bonds that mature at different dates. They also may allay the risk by hedging fixed-income investments with interest rate swaps and other instruments.

### Why are lower coupon bonds more sensitive to interest rates?

https://www.quora.com/Why-is-the-price-of-a-bond-with-a-lower-coupon-more-sensitive-to-a-change-in-y

Technically speaking, because the lower coupon bond's duration is higher than that of higher coupon bond. Less technically, the price of the bonds is present value of all its cashflows (coupon and principal) discounted at the prevailing yields.

### How do you define interest rate?

https://www.bankrate.com/glossary/i/interest-rate/

An interest rate is defined as the proportion of an amount loaned which a lender charges as interest to the borrower, normally expressed as an annual percentage. It is the rate a bank or other lender charges to borrow its money, or the rate a bank pays its savers for keeping money in an account.

### What makes up an interest rate?

https://www.thebalance.com/what-are-interest-rates-and-how-do-they-work-3305855

An interest rate is the percentage of principal charged by the lender for the use of its money. The principal is the amount of money loaned. Since banks borrow money from you (in the form of deposits), they also pay you an interest rate on your money.

### What is the formula for modified duration?

The formula for the modified duration is the value of the Macaulay duration divided by 1, plus the yield to maturity, divided by the number of coupon periods per year. The modified duration determines the changes in a bond's duration and price for each percentage change in the yield to maturity.

### What is duration example?

https://www.thestreet.com/topic/46361/duration.html

Duration is an approximate measure of a bond's price sensitivity to changes in interest rates. For example, a bond with 10 years till maturity and a 7% coupon trading at par to yield 7% has a duration of 7. 355 years. At a yield of 6% (price 107 14/32), its duration is 7. 461 years.

### What is the difference between duration and maturity?

https://finance.zacks.com/effective-duration-vs-average-maturity-5206.html

Duration and maturity are key concepts that apply to bond investments. Effective duration and average maturity apply if you have a portfolio consisting of several bonds. While maturity refers to when a bond expires, or matures, duration is a measure of the bond's price sensitivity to changes in interest rates.

### How many days are there between two dates?

https://www.timeanddate.com/date/durationresult.html/countdown/launch?month=03&day=14&hour=12&min=49

Result: 7777 days It is 7777 days from the start date to the end date, but not including the end date. Or 21 years, 3 months, 15 days excluding the end date. Or 255 months, 15 days excluding the end date.

### Why is Bond duration important?

https://www.jbwere.com.au/blog/2017/07/what_is_bond_duratio

Duration is important to bond investors because it acts as a guide for how sensitive a bond (or bond portfolio) is to changes in interest rates. Specifically, when yields rise, a bond's price will fall by an amount approximately equal to the change in the yield, multiplied by the duration of the bond.

### What is the duration of cash?

https://www.blackrock.com/fp/documents/understanding_duration.pdf

Duration is defined as the average time it takes to receive all the cash flows of a bond, weighted by the present value of each of the cash flows. The lower a bond's coupon, the longer its duration, because proportionately less payment is received before final maturity.